Content - ba603d98d3e9e02bb207ec30edea408a7602b94e - 472388d/graphs-20210214/brouwer_srg_database.json

visit type:
brouwer_srg_database.json
[[5, 2, 0, 1, "exists", "pentagon; Paley(5); Seidel 2-graph*"], [9, 4, 1, 2, "exists", "Paley(9); 3<sup>2</sup>; 2-graph*"], [10, 3, 0, 1, "exists", "<a href=\"srgtabrefs.html#Petersen1898\">Petersen</a> graph; NO<sup>\u2013</sup>(4,2); NO<sup>\u2013,orth</sup>(3,5); switch OA(3,2)+*; 2-graph"], [10, 6, 3, 4, "exists", "Triangular graph T(5); 2-graph"], [13, 6, 2, 3, "exists", "Paley(13); 2-graph*"], [15, 6, 1, 3, "exists", "\tO(5,2) Sp(4,2); NO<sup>\u2013</sup>(4,3); GQ(2,2); 2-graph*"], [15, 8, 4, 4, "exists", "Triangular graph T(6); 2-graph*"], [16, 5, 0, 2, "exists", "q222=0; vanLint-Schrijver(1); VO<sup>\u2013</sup>(4,2) affine polar graph; projective binary [5,4] code with weights 2, 4; RSHCD<sup>\u2013</sup>; 2-graph"], [16, 6, 2, 2, "exists", "<a href=\"srgtabrefs.html#Shrikhande59\">Shrikhande</a> graph; 4<sup>2</sup>; Wallis (AR(2,1)+S(2,2,4)); from a partial spread: projective binary [6,4] code with weights 2, 4; RSHCD<sup>+</sup>; 2-graph"], [16, 9, 4, 6, "exists", "OA(4,3); Bilin<sub>2x2</sub>(2); Wallis2 (AR(2,1)+S(2,2,4)); Goethals-Seidel(2,3); VO<sup>+</sup>(4,2) affine polar graph; 2-graph"], [16, 10, 6, 6, "exists", "Clebsch graph; q111=0; vanLint-Schrijver(2); from 2-(4,2,1) with 1-factor <a href=\"srgtabrefs.html#Fickus_et_al15\">Fickus et al.</a>; 2-graph"], [17, 8, 3, 4, "exists", "Paley(17); 2-graph*"], [21, 10, 3, 6, "exists", ""], [21, 10, 4, 5, "impossible", "Conf"], [21, 10, 5, 4, "exists", "Triangular graph T(7)"], [25, 8, 3, 2, "exists", "5<sup>2</sup>"], [25, 12, 5, 6, "exists", "<a href=\"srgtabrefs.html#Paulus73\">Paulus</a> and <a href=\"srgtabrefs.html#Rozenfeld73\">Rozenfel'd</a>; Paley(25); OA(5,3); 2-graph*"], [25, 16, 9, 12, "exists", "OA(5,4)"], [26, 10, 3, 4, "exists", "<a href=\"srgtabrefs.html#Paulus73\">Paulus</a> and <a href=\"srgtabrefs.html#Rozenfeld73\">Rozenfel'd</a>; switch OA(5,3)+*; 2-graph"], [26, 15, 8, 9, "exists", "S(2,3,13); 2-graph"], [27, 10, 1, 5, "exists", "q222=0; O<sup>\u2013</sup>(6,2) polar graph; <a href=\"srgtabrefs.html#Godsil92\">Godsil</a>(q=3,r=2); GQ(2,4); 2-graph*"], [27, 16, 10, 8, "exists", "Schl\u00e4fli graph; unique by <a href=\"srgtabrefs.html#Seidel68\">Seidel</a>; q111=0; 2-graph*"], [28, 9, 0, 4, "impossible", "Krein2; Absolute bound"], [28, 12, 6, 4, "exists", "<a href=\"srgtabrefs.html#Chang60\">Chang</a> graphs; Triangular graph T(8); Wallis (AR(2,1)+S(2,3,7)); 2-graph"], [28, 15, 6, 10, "exists", "NO<sup>+</sup>(6,2); Goethals-Seidel(3,3); pg(3,4,2) does not exist (De Clerck); Taylor 2-graph for U<sub>3</sub>(3)"], [28, 18, 12, 10, "impossible", "Krein1; Absolute bound"], [29, 14, 6, 7, "exists", "complete enumeration by Bussemaker & Spence; Paley(29); 2-graph*"], [33, 16, 7, 8, "impossible", "Conf"], [35, 16, 6, 8, "exists", "complete enumeration by <a href=\"srgtabrefs.html#McKaySpence01\">McKay & Spence</a>; pg(4,3,2) does not exist (De Clerck); 2-graph*"], [35, 18, 9, 9, "exists", "S(2,3,15); lines in PG(3,2); O<sup>+</sup>(6,2); from ETF <a href=\"srgtabrefs.html#Fickus_et_al16\">Fickus et al.</a>; 2-graph*"], [36, 10, 4, 2, "exists", "6<sup>2</sup>"], [36, 14, 4, 6, "exists", "U<sub>3</sub>(3).2 / L<sub>2</sub>(7).2 - subconstituent of Hall-Janko graph; complete enumeration by <a href=\"srgtabrefs.html#McKaySpence01\">McKay & Spence</a>; RSHCD<sup>\u2013</sup>; 2-graph"], [36, 14, 7, 4, "exists", "Triangular graph T(9)"], [36, 15, 6, 6, "exists", "complete enumeration by <a href=\"srgtabrefs.html#McKaySpence01\">McKay & Spence</a>; OA(6,3); NO<sup>\u2013</sup>(6,2); RSHCD<sup>+</sup>; 2-graph"], [36, 20, 10, 12, "exists", "NO<sup>\u2013</sup>(5,3); OA(6,4) does not exist (Tarry); 2-graph"], [36, 21, 10, 15, "exists", ""], [36, 21, 12, 12, "exists", "2-graph"], [36, 25, 16, 20, "exists", "OA(6,5) does not exist (Tarry)"], [37, 18, 8, 9, "exists", "partial enumeration by <a href=\"srgtabrefs.html#McKaySpence01\">McKay & Spence</a>; six examples by <a href=\"srgtabrefs.html#CrnkovicMaksimovic20b\">Crnkovi\u0107-Maksimovi\u0107</a>; Paley(37); 2-graph*"], [40, 12, 2, 4, "exists", "complete enumeration by <a href=\"srgtabrefs.html#Spence00\">Spence</a>; \tO(5,3) Sp(4,3); GQ(3,3)"], [40, 27, 18, 18, "exists", "NU(4,2)"], [41, 20, 9, 10, "exists", "Paley(41); 2-graph*"], [45, 12, 3, 3, "exists", "complete enumeration by <a href=\"srgtabrefs.html#Coolsaet_et_al06\">Coolsaet, Degraer & Spence</a>; U(4,2) polar graph; Wallis (AR(3,1)+S(2,2,5)); GQ(4,2)"], [45, 16, 8, 4, "exists", "Triangular graph T(10)"], [45, 22, 10, 11, "exists", "<a href=\"srgtabrefs.html#Mathon78\">Mathon</a>; 2-graph*"], [45, 28, 15, 21, "exists", "pg(4,6,3)"], [45, 32, 22, 24, "exists", "NO<sup>+</sup>(5,3)"], [49, 12, 5, 2, "exists", "7<sup>2</sup>"], [49, 16, 3, 6, "impossible", "<a href=\"srgtabrefs.html#Bussemaker_et_al89\">Bussemaker-Haemers-Mathon-Wilbrink</a>"], [49, 18, 7, 6, "exists", "<a href=\"srgtabrefs.html#BehbahaniLam11\">Behbahani-Lam</a>; <a href=\"srgtabrefs.html#CrnkovicMaksimovic20\">Crnkovi\u0107-Maksimovi\u0107</a>; OA(7,3); <a href=\"srgtabrefs.html#Pasechnik92\">Pasechnik(7)</a>"], [49, 24, 11, 12, "exists", "Paley(49); OA(7,4); 2-graph*"], [49, 30, 17, 20, "exists", "OA(7,5)"], [49, 32, 21, 20, "impossible", ""], [49, 36, 25, 30, "exists", "OA(7,6)"], [50, 7, 0, 1, "exists", "U<sub>3</sub>(5<sup>2</sup>).2 / Sym(7) - <a href=\"srgtabrefs.html#HoffmanSingleton60\">Hoffman-Singleton</a>"], [50, 21, 4, 12, "impossible", "Absolute bound"], [50, 21, 8, 9, "exists", "switch OA(7,4)+*; switch skewhad<sup>2</sup>+*; 2-graph"], [50, 28, 15, 16, "exists", "S(2,4,25); 2-graph"], [50, 28, 18, 12, "impossible", "Absolute bound"], [50, 42, 35, 36, "exists", ""], [53, 26, 12, 13, "exists", "Paley(53); 2-graph*"], [55, 18, 9, 4, "exists", "Triangular graph T(11)"], [55, 36, 21, 28, "exists", ""], [56, 10, 0, 2, "exists", "Sims-Gewirtz graph; L<sub>3</sub>(4).2<sup>2</sup> / Alt(6).2<sup>2</sup>; unique by <a href=\"srgtabrefs.html#Gewirtz69a\">Gewirtz</a>; <a href=\"srgtabrefs.html#CossidentePenttila05\">Cossidente-Penttila hemisystem</a> in PG(3,3<sup>2</sup>)"], [56, 22, 3, 12, "impossible", "Krein2; Absolute bound"], [56, 33, 22, 15, "impossible", "Krein1; Absolute bound"], [56, 45, 36, 36, "exists", "Witt: intersection-2 graph of a quasisymmetric 2-(21,6,4) design with intersection numbers 0, 2"], [57, 14, 1, 4, "impossible", "<a href=\"srgtabrefs.html#WilbrinkBrouwer83\">Wilbrink-Brouwer</a>"], [57, 24, 11, 9, "exists", "S(2,3,19)"], [57, 28, 13, 14, "impossible", "Conf"], [57, 32, 16, 20, "exists", ""], [57, 42, 31, 30, "impossible", ""], [61, 30, 14, 15, "exists", "Paley(61); 2-graph*"], [63, 22, 1, 11, "impossible", "Krein2; Absolute bound"], [63, 30, 13, 15, "exists", "intersection-8 graph of a quasisymmetric 2-(36,16,12) design with intersection numbers 6, 8; \tO(7,2) Sp(6,2); pg(6,4,3); 2-graph*"], [63, 32, 16, 16, "exists", "S(2,4,28); intersection-6 graph of a quasisymmetric 2-(28,12,11) design with intersection numbers 4, 6; NU(3,3); 2-graph*"], [63, 40, 28, 20, "impossible", "Krein1; Absolute bound"], [64, 14, 6, 2, "exists", "8<sup>2</sup>; from a partial spread of 3-spaces: projective binary [14,6] code with weights 4, 8"], [64, 18, 2, 6, "exists", "complete enumeration by <a href=\"srgtabrefs.html#HaemersSpence01\">Haemers & Spence</a>; GQ(3,5); from a hyperoval: projective 4-ary [6,3] code with weights 4, 6; Momihara: projective binary [18,6] code with weights 8, 12"], [64, 21, 0, 10, "impossible", "Krein2; Absolute bound"], [64, 21, 8, 6, "exists", "OA(8,3); Bilin<sub>2x3</sub>(2); from a  Baer subplane: projective 4-ary [7,3] code with weights 4, 6; <a href=\"srgtabrefs.html#Brouwer85\">Brouwer</a>(q=2,d=2,e=3,+); from a partial spread of 3-spaces: projective binary [21,6] code with weights 8, 12"], [64, 27, 10, 12, "exists", "<a href=\"srgtabrefs.html#Mesner64\">Mesner</a>; from a unital: projective 4-ary [9,3] code with weights 6, 8; VO<sup>\u2013</sup>(6,2) affine polar graph; RSHCD<sup>\u2013</sup>; 2-graph"], [64, 28, 12, 12, "exists", "OA(8,4); Wallis (AR(2,2)+S(2,2,8)); from a partial spread of 3-spaces: projective binary [28,6] code with weights 12, 16; RSHCD<sup>+</sup>; 2-graph"], [64, 30, 18, 10, "impossible", "Absolute bound"], [64, 33, 12, 22, "impossible", "Absolute bound"], [64, 35, 18, 20, "exists", "OA(8,5); Wallis2 (AR(2,2)+S(2,2,8)); Goethals-Seidel(2,7); VO<sup>+</sup>(6,2) affine polar graph; 2-graph"], [64, 36, 20, 20, "exists", "from 2-(8,2,1) with 1-factor <a href=\"srgtabrefs.html#Fickus_et_al15\">Fickus et al.</a>; 2-graph"], [64, 42, 26, 30, "exists", "OA(8,6); Momihara"], [64, 42, 30, 22, "impossible", "Krein1; Absolute bound"], [64, 45, 32, 30, "exists", ""], [64, 49, 36, 42, "exists", "OA(8,7)"], [65, 32, 15, 16, "exists", "<a href=\"srgtabrefs.html#Gritsenko20\">Gritsenko</a>; 2-graph*"], [66, 20, 10, 4, "exists", "Triangular graph T(12)"], [66, 45, 28, 36, "exists", "pg(5,8,4) does not exist (<a href=\"srgtabrefs.html#Lam-et-al83\">Lam et al.</a>)"], [69, 20, 7, 5, "open", ""], [69, 34, 16, 17, "impossible", "Conf"], [69, 48, 32, 36, "open", "S(2,6,46) does not exist"], [70, 27, 12, 9, "exists", "S(2,3,21)"], [70, 42, 23, 28, "exists", "pg(6,6,4)?"], [73, 36, 17, 18, "exists", "Paley(73); 2-graph*"], [75, 32, 10, 16, "impossible", "<a href=\"srgtabrefs.html#AzarijaMarc15\">Azarija-Marc</a>"], [75, 42, 25, 21, "impossible", ""], [76, 21, 2, 7, "impossible", "<a href=\"srgtabrefs.html#Haemers93\">Haemers</a>"], [76, 30, 8, 14, "impossible", "<a href=\"srgtabrefs.html#Bondarenko_et_al14\">Bondarenko, Prymak & Radchenko</a>"], [76, 35, 18, 14, "impossible", ""], [76, 40, 18, 24, "impossible", "no 2-graph*"], [76, 45, 28, 24, "impossible", ""], [76, 54, 39, 36, "impossible", ""], [77, 16, 0, 4, "exists", "S(3,6,22); M<sub>22</sub>/2<sup>4</sup>:Sym(6); <a href=\"srgtabrefs.html#Mesner64\">Mesner</a>; unique by <a href=\"srgtabrefs.html#Brouwer83\">Brouwer</a>; intersection-6 graph of a quasisymmetric 2-(56,16,6) design with intersection numbers 4, 6"], [77, 38, 18, 19, "impossible", "Conf"], [77, 60, 47, 45, "exists", "Witt 3-(22,6,1): intersection-2 graph of a quasisymmetric 2-(22,6,5) design with intersection numbers 0, 2"], [78, 22, 11, 4, "exists", "Triangular graph T(13)"], [78, 55, 36, 45, "exists", ""], [81, 16, 7, 2, "exists", "9<sup>2</sup>; <a href=\"srgtabrefs.html#Brouwer85\">Brouwer</a>(q=3,d=2,e=2,+); from a partial spread: projective ternary [8,4] code with weights 3, 6"], [81, 20, 1, 6, "exists", "<a href=\"srgtabrefs.html#Mesner64\">Mesner</a>; unique by <a href=\"srgtabrefs.html#BrouwerHaemers92\">Brouwer & Haemers</a>; VO<sup>\u2013</sup>(4,3) affine polar graph; projective ternary [10,4] code with weights 6, 9"], [81, 24, 9, 6, "exists", "OA(9,3); Wallis (AR(3,1)+S(2,3,9)); VNO<sup>+</sup>(4,3) affine polar graph; from a partial spread: projective ternary [12,4] code with weights 6, 9"], [81, 30, 9, 12, "exists", "<a href=\"srgtabrefs.html#Mesner64\">Mesner</a>; pg(5,5,2) - <a href=\"srgtabrefs.html#vanLintSchrijver81\">van Lint & Schrijver</a>; VNO<sup>\u2013</sup>(4,3) affine polar graph; Hamada-Helleseth: projective ternary [15,4] code with weights 9, 12"], [81, 32, 13, 12, "exists", "OA(9,4); Bilin<sub>2x2</sub>(3); Wallis2 (AR(3,1)+S(2,3,9)); VO<sup>+</sup>(4,3) affine polar graph; from a partial spread: projective ternary [16,4] code with weights 9, 12"], [81, 40, 13, 26, "impossible", "Absolute bound"], [81, 40, 19, 20, "exists", "Paley(81); OA(9,5); 2-graph*"], [81, 40, 25, 14, "impossible", "Absolute bound"], [81, 48, 27, 30, "exists", "OA(9,6)"], [81, 50, 31, 30, "exists", ""], [81, 56, 37, 42, "exists", "OA(9,7)"], [81, 60, 45, 42, "exists", ""], [81, 64, 49, 56, "exists", "OA(9,8)"], [82, 36, 15, 16, "exists", "switch OA(9,5)+*; 2-graph"], [82, 45, 24, 25, "exists", "S(2,5,41); 2-graph"], [85, 14, 3, 2, "open", ""], [85, 20, 3, 5, "exists", "\tO(5,4) Sp(4,4); GQ(4,4)"], [85, 30, 11, 10, "open", ""], [85, 42, 20, 21, "open", "2-graph*?"], [85, 54, 33, 36, "open", "S(2,6,51)?"], [85, 64, 48, 48, "exists", ""], [85, 70, 57, 60, "open", ""], [88, 27, 6, 9, "open", ""], [88, 60, 41, 40, "open", ""], [89, 44, 21, 22, "exists", "Paley(89); 2-graph*"], [91, 24, 12, 4, "exists", "Triangular graph T(14)"], [91, 66, 45, 55, "exists", "pg(6,10,5)?"], [93, 46, 22, 23, "impossible", "Conf"], [95, 40, 12, 20, "impossible", "<a href=\"srgtabrefs.html#AzarijaMarc16\">Azarija-Marc</a>"], [95, 54, 33, 27, "impossible", ""], [96, 19, 2, 4, "exists", "Haemers(4); <a href=\"srgtabrefs.html#Muzychuk07\">Muzychuk S6</a> (n=4,d=2); <a href=\"srgtabrefs.html#Brouwer_et_al03\">Brouwer-Koolen-Klin</a>; <a href=\"srgtabrefs.html#Golemac_et_al06\">Golemac et al.</a>"], [96, 20, 4, 4, "exists", "Wallis (AR(4,1)+S(2,2,6)); GQ(5,3); <a href=\"srgtabrefs.html#Brouwer_et_al03\">Brouwer-Koolen-Klin</a>; <a href=\"srgtabrefs.html#Golemac_et_al06\">Golemac et al.</a>"], [96, 35, 10, 14, "open", "pg(5,6,2)?"], [96, 38, 10, 18, "impossible", "<a href=\"srgtabrefs.html#Degraer07\">Degraer</a>"], [96, 45, 24, 18, "impossible", ""], [96, 50, 22, 30, "impossible", "no 2-graph*"], [96, 57, 36, 30, "impossible", ""], [96, 60, 38, 36, "open", ""], [96, 75, 58, 60, "exists", ""], [96, 76, 60, 60, "exists", ""], [97, 48, 23, 24, "exists", "Paley(97); 2-graph*"], [99, 14, 1, 2, "open", ""], [99, 42, 21, 15, "open", ""], [99, 48, 22, 24, "exists", "pg(8,5,4) does not exist (<a href=\"srgtabrefs.html#Lam-et-al83\">Lam et al.</a>); 2-graph*"], [99, 50, 25, 25, "exists", "S(2,5,45); 2-graph*"], [99, 56, 28, 36, "open", ""], [99, 84, 71, 72, "open", ""], [100, 18, 8, 2, "exists", "10<sup>2</sup>"], [100, 22, 0, 6, "exists", "HS.2 / M<sub>22</sub>.2 - <a href=\"srgtabrefs.html#Mesner64\">Mesner</a>; <a href=\"srgtabrefs.html#HigmanSims68\">Higman-Sims</a>; unique by <a href=\"srgtabrefs.html#Gewirtz69\">Gewirtz</a>; q222=0"], [100, 27, 10, 6, "exists", "OA(10,3)"], [100, 33, 8, 12, "open", ""], [100, 33, 14, 9, "exists", "S(2,3,25)"], [100, 33, 18, 7, "impossible", "Absolute bound"], [100, 36, 14, 12, "exists", "J<sub>2</sub>.2 / U<sub>3</sub>(3).2 - Hall-Janko; OA(10,4)"], [100, 44, 18, 20, "exists", "<a href=\"srgtabrefs.html#JorgensenKlin03\">J\u00f8rgensen-Klin</a>; RSHCD<sup>\u2013</sup>; 2-graph"], [100, 45, 20, 20, "exists", "OA(10,5)?; RSHCD<sup>+</sup>; 2-graph"], [100, 54, 28, 30, "exists", "OA(10,6)?; 2-graph"], [100, 55, 30, 30, "exists", "2-graph"], [100, 63, 38, 42, "exists", "OA(10,7)?"], [100, 66, 39, 52, "impossible", "Absolute bound"], [100, 66, 41, 48, "exists", ""], [100, 66, 44, 42, "open", ""], [100, 72, 50, 56, "exists", "OA(10,8)?"], [100, 77, 60, 56, "exists", "q111=0"], [100, 81, 64, 72, "exists", ""], [101, 50, 24, 25, "exists", "Paley(101); 2-graph*"], [105, 26, 13, 4, "exists", "Triangular graph T(15)"], [105, 32, 4, 12, "exists", "Aut L(3,4) on flags (rk 4) - <a href=\"srgtabrefs.html#GoethalsSeidel70\">Goethals & Seidel</a>, unique by <a href=\"srgtabrefs.html#Coolsaet05\">Coolsaet</a>"], [105, 40, 15, 15, "open", ""], [105, 52, 21, 30, "open", ""], [105, 52, 25, 26, "impossible", "Conf"], [105, 52, 29, 22, "open", ""], [105, 64, 38, 40, "open", ""], [105, 72, 51, 45, "exists", ""], [105, 78, 55, 66, "exists", ""], [109, 54, 26, 27, "exists", "Paley(109); 2-graph*"], [111, 30, 5, 9, "open", ""], [111, 44, 19, 16, "exists", "S(2,4,37)"], [111, 66, 37, 42, "exists", ""], [111, 80, 58, 56, "open", ""], [112, 30, 2, 10, "exists", "unique by <a href=\"srgtabrefs.html#Cameron_et_al78\">Cameron, Goethals & Seidel</a>; subconstituent of McLaughlin graph; q222=0; O<sup>\u2013</sup>(6,3) polar graph; GQ(3,9)"], [112, 36, 10, 12, "open", "pg(6,5,2)?"], [112, 75, 50, 50, "open", ""], [112, 81, 60, 54, "exists", "q111=0"], [113, 56, 27, 28, "exists", "Paley(113); 2-graph*"], [115, 18, 1, 3, "open", ""], [115, 96, 80, 80, "open", ""], [117, 36, 15, 9, "exists", "S(2,3,27); NO<sup>+</sup>(6,3); Lines in AG(3,3) (rk 4); Wallis (AR(3,1)+S(2,4,13))"], [117, 58, 28, 29, "open", "2-graph*?"], [117, 80, 52, 60, "exists", "pg(8,9,6)?"], [119, 54, 21, 27, "exists", "O<sup>\u2013</sup>(8,2) polar graph; pg(6,8,3)?; 2-graph*"], [119, 64, 36, 32, "exists", "2-graph*"], [120, 28, 14, 4, "exists", "Triangular graph T(16)"], [120, 34, 8, 10, "open", ""], [120, 35, 10, 10, "open", "pg(7,4,2) does not exist (<a href=\"srgtabrefs.html#AzarijaMarc15\">Azarija-Marc</a> for line graph)"], [120, 42, 8, 18, "exists", "L(3,4).2^2 on Baer subplanes (rk 4), unique by <a href=\"srgtabrefs.html#DegraerCoolsaet08\">Degraer & Coolsaet</a>"], [120, 51, 18, 24, "exists", "NO<sup>\u2013</sup>(5,4); 2-graph"], [120, 56, 28, 24, "exists", "Wallis (AR(2,2)+S(2,3,15)); 2-graph"], [120, 63, 30, 36, "exists", "dist. 2 in J(10,3) - Mathon; NO<sup>+</sup>(8,2); Goethals-Seidel(3,7); pg(7,8,4) - <a href=\"srgtabrefs.html#Cohen81\">Cohen</a>; see also <a href=\"srgtabrefs.html#DeClerckDelanote00\">De Clerck & Delanote</a>; 2-graph"], [120, 68, 40, 36, "exists", "from 2-(15,3,1) with 1-factor <a href=\"srgtabrefs.html#Fickus_et_al15\">Fickus et al.</a>; 2-graph"], [120, 77, 52, 44, "exists", "Witt: intersection-3 graph of a quasisymmetric 2-(21,7,12) design with intersection numbers 1, 3"], [120, 84, 58, 60, "open", ""], [120, 85, 60, 60, "open", ""], [120, 91, 66, 78, "exists", "pg(7,12,6)?"], [121, 20, 9, 2, "exists", "11<sup>2</sup>"], [121, 30, 11, 6, "exists", "OA(11,3)"], [121, 36, 7, 12, "open", ""], [121, 40, 15, 12, "exists", "OA(11,4)"], [121, 48, 17, 20, "open", ""], [121, 50, 21, 20, "exists", "OA(11,5); <a href=\"srgtabrefs.html#Pasechnik92\">Pasechnik(11)</a>"], [121, 56, 15, 35, "impossible", "Absolute bound"], [121, 60, 29, 30, "exists", "Paley(121); OA(11,6); 2-graph*"], [121, 64, 42, 24, "impossible", "Absolute bound"], [121, 70, 39, 42, "exists", "OA(11,7)"], [121, 72, 43, 42, "open", ""], [121, 80, 51, 56, "exists", "OA(11,8)"], [121, 84, 59, 56, "open", ""], [121, 90, 65, 72, "exists", "OA(11,9)"], [121, 100, 81, 90, "exists", "OA(11,10)"], [122, 55, 24, 25, "exists", "switch OA(11,6)+*; switch skewhad<sup>2</sup>+*; 2-graph"], [122, 66, 35, 36, "exists", "S(2,6,61)?; 2-graph"], [125, 28, 3, 7, "exists", "<a href=\"srgtabrefs.html#Godsil92\">Godsil</a>(q=5,r=3); GQ(4,6)"], [125, 48, 28, 12, "impossible", "Absolute bound"], [125, 52, 15, 26, "exists", "<a href=\"srgtabrefs.html#Godsil92\">Godsil</a>(q=5,r=2); pg(4,12,2)?; 2-graph*"], [125, 62, 30, 31, "exists", "Paley(125); 2-graph*"], [125, 72, 45, 36, "exists", "2-graph*"], [125, 76, 39, 57, "impossible", "Absolute bound"], [125, 96, 74, 72, "exists", ""], [126, 25, 8, 4, "exists", "dist. 1 or 4 in J(9,4) - Mathon, Buekenhout & Hubaut"], [126, 45, 12, 18, "exists", "NO<sup>\u2013</sup>(6,3); pg(5,8,2)?"], [126, 50, 13, 24, "exists", "Goethals - unique by <a href=\"srgtabrefs.html#CoolsaetDegraer08\">Coolsaet & Degraer</a>; 2-graph"], [126, 60, 33, 24, "exists", "2-graph"], [126, 65, 28, 39, "exists", "pg(5,12,3)?; Taylor 2-graph for U<sub>3</sub>(5)"], [126, 75, 48, 39, "exists", "2-graph"], [126, 80, 52, 48, "exists", ""], [126, 100, 78, 84, "exists", ""], [129, 64, 31, 32, "impossible", "Conf"], [130, 48, 20, 16, "exists", "S(2,4,40); lines in PG(3,3); O<sup>+</sup>(6,3)"], [130, 81, 48, 54, "exists", "pg(9,8,6)?"], [133, 24, 5, 4, "open", "GQ(6,3) does not exist (<a href=\"srgtabrefs.html#DixmierZara76\">Dixmier & Zara</a>)"], [133, 32, 6, 8, "open", ""], [133, 44, 15, 14, "open", ""], [133, 66, 32, 33, "impossible", "Conf"], [133, 88, 57, 60, "open", ""], [133, 100, 75, 75, "open", ""], [133, 108, 87, 90, "open", ""], [135, 64, 28, 32, "exists", "pg(8,7,4) - <a href=\"srgtabrefs.html#Cohen81\">Cohen</a>; see also <a href=\"srgtabrefs.html#DeClerckDelanote00\">De Clerck & Delanote</a>; 2-graph*"], [135, 70, 37, 35, "exists", "O<sup>+</sup>(8,2); from ETF <a href=\"srgtabrefs.html#Fickus_et_al16\">Fickus et al.</a>; 2-graph*"], [136, 30, 8, 6, "open", ""], [136, 30, 15, 4, "exists", "Triangular graph T(17)"], [136, 60, 24, 28, "exists", "2-graph"], [136, 63, 30, 28, "exists", "NO<sup>\u2013</sup>(8,2); 2-graph"], [136, 72, 36, 40, "exists", "2-graph"], [136, 75, 42, 40, "exists", "NO<sup>+</sup>(5,4); from ETF <a href=\"srgtabrefs.html#Fickus_et_al16\">Fickus et al.</a>; 2-graph"], [136, 105, 78, 91, "exists", ""], [136, 105, 80, 84, "open", ""], [137, 68, 33, 34, "exists", "Paley(137); 2-graph*"], [141, 70, 34, 35, "impossible", "Conf"], [143, 70, 33, 35, "exists", "intersection-18 graph of a quasisymmetric 2-(78,36,30) design with intersection numbers 15, 18; pg(10,6,5)?; 2-graph*"], [143, 72, 36, 36, "exists", "S(2,6,66); intersection-15 graph of a quasisymmetric 2-(66,30,29) design with intersection numbers 12, 15; 2-graph*"], [144, 22, 10, 2, "exists", "12<sup>2</sup>"], [144, 33, 12, 6, "exists", "OA(12,3)"], [144, 39, 6, 12, "exists", "L<sub>3</sub>(3) (rk 8)"], [144, 44, 16, 12, "exists", "OA(12,4)"], [144, 52, 16, 20, "open", ""], [144, 55, 22, 20, "exists", "OA(12,5)"], [144, 65, 16, 40, "impossible", "Krein2; Absolute bound"], [144, 65, 28, 30, "exists", "RSHCD<sup>\u2013</sup>; 2-graph"], [144, 66, 30, 30, "exists", "OA(12,6); Wallis (AR(2,3)+S(2,2,12)); RSHCD<sup>+</sup>; 2-graph"], [144, 77, 40, 42, "exists", "OA(12,7); Wallis2 (AR(2,3)+S(2,2,12)); Goethals-Seidel(2,11); 2-graph"], [144, 78, 42, 42, "exists", "from 2-(12,2,1) with 1-factor <a href=\"srgtabrefs.html#Fickus_et_al15\">Fickus et al.</a>; 2-graph"], [144, 78, 52, 30, "impossible", "Krein1; Absolute bound"], [144, 88, 52, 56, "exists", "OA(12,8)?"], [144, 91, 58, 56, "open", ""], [144, 99, 66, 72, "exists", "OA(12,9)?"], [144, 104, 76, 72, "exists", ""], [144, 110, 82, 90, "exists", "OA(12,10)?"], [144, 121, 100, 110, "exists", "OA(12,11)?"], [145, 72, 35, 36, "open", "2-graph*?"], [147, 66, 25, 33, "open", "pg(6,10,3)?; 2-graph*?"], [147, 80, 46, 40, "open", "2-graph*?"], [148, 63, 22, 30, "open", "2-graph?"], [148, 70, 36, 30, "open", "2-graph?"], [148, 77, 36, 44, "open", "2-graph?"], [148, 84, 50, 44, "open", "2-graph?"], [149, 74, 36, 37, "exists", "Paley(149); 2-graph*"], [153, 32, 16, 4, "exists", "Triangular graph T(18)"], [153, 56, 19, 21, "open", "pg(8,6,3)?"], [153, 76, 37, 38, "open", "2-graph*?"], [153, 96, 60, 60, "open", ""], [153, 120, 91, 105, "exists", "pg(8,14,7)"], [154, 48, 12, 16, "open", "pg(6,7,2)?"], [154, 51, 8, 21, "impossible", "Krein2"], [154, 72, 26, 40, "open", ""], [154, 81, 48, 36, "open", ""], [154, 102, 71, 60, "impossible", "Krein1"], [154, 105, 72, 70, "open", ""], [155, 42, 17, 9, "exists", "S(2,3,31); lines in PG(4,2)"], [155, 112, 78, 88, "exists", ""], [156, 30, 4, 6, "exists", "\tO(5,5) Sp(4,5); GQ(5,5)"], [156, 125, 100, 100, "exists", ""], [157, 78, 38, 39, "exists", "Paley(157); 2-graph*"], [160, 54, 18, 18, "open", "pg(9,5,3) does not exist (no 2-graph* for line graph)"], [160, 105, 68, 70, "open", ""], [161, 80, 39, 40, "impossible", "Conf"], [162, 21, 0, 3, "open", ""], [162, 23, 4, 3, "open", ""], [162, 49, 16, 14, "open", ""], [162, 56, 10, 24, "exists", "q222=0"], [162, 69, 36, 24, "open", ""], [162, 92, 46, 60, "open", ""], [162, 105, 72, 60, "exists", "U<sub>4</sub>(3) / L<sub>3</sub>(4) - sub McLaughlin; q111=0"], [162, 112, 76, 80, "open", ""], [162, 138, 117, 120, "open", ""], [162, 140, 121, 120, "open", ""], [165, 36, 3, 9, "exists", "U(5,2) polar graph; GQ(4,8)"], [165, 82, 40, 41, "impossible", "Conf"], [165, 128, 100, 96, "exists", ""], [169, 24, 11, 2, "exists", "13<sup>2</sup>"], [169, 36, 13, 6, "exists", "OA(13,3)"], [169, 42, 5, 12, "open", ""], [169, 48, 17, 12, "exists", "OA(13,4)"], [169, 56, 15, 20, "open", ""], [169, 60, 23, 20, "exists", "OA(13,5)"], [169, 70, 27, 30, "open", ""], [169, 72, 31, 30, "exists", "OA(13,6)"], [169, 84, 41, 42, "exists", "Paley(169); OA(13,7); 2-graph*"], [169, 96, 53, 56, "exists", "OA(13,8)"], [169, 98, 57, 56, "open", ""], [169, 108, 67, 72, "exists", "OA(13,9)"], [169, 112, 75, 72, "open", ""], [169, 120, 83, 90, "exists", "OA(13,10)"], [169, 126, 95, 90, "open", ""], [169, 132, 101, 110, "exists", "OA(13,11)"], [169, 144, 121, 132, "exists", "OA(13,12)"], [170, 78, 35, 36, "exists", "switch OA(13,7)+*; 2-graph"], [170, 91, 48, 49, "exists", "S(2,7,85)?; 2-graph"], [171, 34, 17, 4, "exists", "Triangular graph T(19)"], [171, 50, 13, 15, "open", ""], [171, 60, 15, 24, "open", "pg(5,11,2)?"], [171, 110, 73, 66, "open", ""], [171, 120, 84, 84, "open", ""], [171, 136, 105, 120, "exists", ""], [173, 86, 42, 43, "exists", "Paley(173); 2-graph*"], [175, 30, 5, 5, "exists", "Wallis (AR(5,1)+S(2,2,7)); GQ(6,4)"], [175, 66, 29, 22, "open", ""], [175, 72, 20, 36, "exists", "edges of Hoffman-Singleton graph - Haemers; pg(4,17,2) - <a href=\"srgtabrefs.html#Haemers81\">Haemers</a>; 2-graph*"], [175, 102, 65, 51, "exists", "2-graph*"], [175, 108, 63, 72, "open", "pg(9,11,6)?"], [175, 144, 118, 120, "exists", ""], [176, 25, 0, 4, "open", ""], [176, 40, 12, 8, "exists", "pg(10,3,2) does not exist (Absolute bound for line graph)"], [176, 45, 18, 9, "exists", "S(2,3,33)"], [176, 49, 12, 14, "exists", "Higman symmetric 2-design; pg(7,6,2)?"], [176, 70, 18, 34, "exists", "S(4,7,23)S(3,6,22) - M<sub>22</sub>/Alt(7); unique by Coolsaet & Degraer; 2-graph"], [176, 70, 24, 30, "open", "pg(7,9,3)?"], [176, 70, 42, 18, "impossible", "Absolute bound"], [176, 85, 48, 34, "exists", "Haemers; 2-graph"], [176, 90, 38, 54, "exists", "pg(5,17,3)?; 2-graph"], [176, 105, 52, 78, "impossible", "Absolute bound"], [176, 105, 64, 60, "open", ""], [176, 105, 68, 54, "exists", "Witt 3-(22,7,4): intersection-3 graph of a quasisymmetric 2-(22,7,16) design with intersection numbers 1, 3; 2-graph"], [176, 126, 90, 90, "exists", ""], [176, 130, 93, 104, "exists", "pg(10,12,8)?"], [176, 135, 102, 108, "exists", "NU(5,2)"], [176, 150, 128, 126, "open", ""], [177, 88, 43, 44, "impossible", "Conf"], [181, 90, 44, 45, "exists", "Paley(181); 2-graph*"], [183, 52, 11, 16, "open", ""], [183, 70, 29, 25, "exists", "S(2,5,61)"], [183, 112, 66, 72, "exists", ""], [183, 130, 93, 90, "open", ""], [184, 48, 2, 16, "impossible", "Krein2"], [184, 135, 102, 90, "impossible", "Krein1"], [185, 92, 45, 46, "open", "2-graph*?"], [189, 48, 12, 12, "open", "pg(8,5,2)?"], [189, 60, 27, 15, "open", ""], [189, 88, 37, 44, "open", "pg(8,10,4)?; 2-graph*?"], [189, 94, 46, 47, "impossible", "Conf"], [189, 100, 55, 50, "open", "2-graph*?"], [189, 128, 82, 96, "open", "pg(8,15,6)?"], [189, 140, 103, 105, "open", ""], [190, 36, 18, 4, "exists", "Triangular graph T(20)"], [190, 45, 12, 10, "open", "pg(9,4,2) does not exist (<a href=\"srgtabrefs.html#AzarijaMarc16\">Azarija-Marc</a> for line graph)"], [190, 84, 33, 40, "open", "2-graph?"], [190, 84, 38, 36, "exists", "S(2,6,76)"], [190, 90, 45, 40, "open", "2-graph?"], [190, 99, 48, 55, "open", "pg(9,10,5)?; 2-graph?"], [190, 105, 56, 60, "exists", ""], [190, 105, 60, 55, "open", "2-graph?"], [190, 144, 108, 112, "open", ""], [190, 153, 120, 136, "exists", "pg(9,16,8)?"], [193, 96, 47, 48, "exists", "Paley(193); 2-graph*"], [195, 96, 46, 48, "exists", "pg(12,7,6)?; 2-graph*"], [195, 98, 49, 49, "exists", "S(2,7,91); 2-graph*"], [196, 26, 12, 2, "exists", "14<sup>2</sup>"], [196, 39, 2, 9, "open", ""], [196, 39, 14, 6, "exists", "OA(14,3)"], [196, 45, 4, 12, "open", ""], [196, 52, 18, 12, "exists", "OA(14,4)"], [196, 60, 14, 20, "exists", "<a href=\"srgtabrefs.html#HuangHuangLin07\">Huang-Huang-Lin</a>(q=8); pg(6,9,2)?"], [196, 60, 23, 16, "exists", "S(2,4,49); Huffman-Tonchev: intersection-3 graph of a quasisymmetric 2-(49,9,6) design with intersection numbers 1, 3"], [196, 65, 24, 20, "exists", "OA(14,5)"], [196, 75, 26, 30, "open", ""], [196, 78, 32, 30, "exists", "OA(14,6)"], [196, 81, 42, 27, "open", ""], [196, 85, 18, 51, "impossible", "Krein2; Absolute bound"], [196, 90, 40, 42, "open", "RSHCD<sup>\u2013</sup>?; 2-graph?"], [196, 91, 42, 42, "exists", "OA(14,7)?; RSHCD<sup>+</sup>; 2-graph"], [196, 104, 54, 56, "exists", "OA(14,8)?; 2-graph"], [196, 105, 56, 56, "open", "2-graph?"], [196, 110, 75, 44, "impossible", "Krein1; Absolute bound"], [196, 114, 59, 76, "open", "pg(6,18,4)?"], [196, 117, 68, 72, "exists", "OA(14,9)?"], [196, 120, 74, 72, "open", ""], [196, 130, 84, 90, "exists", "OA(14,10)?"], [196, 135, 90, 99, "exists", ""], [196, 135, 94, 90, "exists", ""], [196, 143, 102, 110, "exists", "OA(14,11)?"], [196, 150, 116, 110, "open", ""], [196, 156, 122, 132, "exists", "OA(14,12)?"], [196, 156, 125, 120, "open", ""], [196, 169, 144, 156, "exists", "OA(14,13)?"], [197, 98, 48, 49, "exists", "Paley(197); 2-graph*"], [201, 100, 49, 50, "impossible", "Conf"], [204, 28, 2, 4, "open", ""], [204, 63, 22, 18, "open", ""], [204, 140, 94, 100, "open", "S(2,10,136)?"], [204, 175, 150, 150, "open", ""], [205, 68, 15, 26, "open", ""], [205, 96, 50, 40, "open", ""], [205, 102, 50, 51, "open", "2-graph*?"], [205, 108, 51, 63, "open", ""], [205, 136, 93, 84, "open", ""], [208, 45, 8, 10, "open", ""], [208, 75, 30, 25, "exists", "S(2,5,65); NU(3,4)"], [208, 81, 24, 36, "open", ""], [208, 126, 80, 70, "open", ""], [208, 132, 81, 88, "exists", "pg(12,10,8)?"], [208, 162, 126, 126, "open", ""], [209, 16, 3, 1, "impossible", "mu=1"], [209, 52, 15, 12, "open", ""], [209, 100, 45, 50, "exists", "pg(10,9,5)?; 2-graph*"], [209, 104, 51, 52, "impossible", "Conf"], [209, 108, 57, 54, "exists", "2-graph*"], [209, 156, 115, 120, "open", ""], [209, 192, 176, 180, "impossible", ""], [210, 33, 0, 6, "open", ""], [210, 38, 19, 4, "exists", "Triangular graph T(21)"], [210, 76, 26, 28, "open", ""], [210, 77, 28, 28, "open", ""], [210, 95, 40, 45, "open", "2-graph?"], [210, 99, 48, 45, "exists", "Sym(7) - Klin, cf. <a href=\"srgtabrefs.html#KPRWZ10\">Klin_et_al</a>; 2-graph"], [210, 110, 55, 60, "exists", "pg(11,9,6)?; 2-graph"], [210, 114, 63, 60, "open", "2-graph?"], [210, 132, 82, 84, "open", ""], [210, 133, 84, 84, "open", ""], [210, 171, 136, 153, "exists", ""], [210, 176, 148, 144, "open", ""], [213, 106, 52, 53, "impossible", "Conf"], [216, 40, 4, 8, "exists", "O<sup>\u2212</sup>(6,2) <a href=\"srgtabrefs.html#Crnkovic_et_al16\">Crnkovic_et_al</a>"], [216, 43, 10, 8, "open", ""], [216, 70, 40, 14, "impossible", "Absolute bound"], [216, 75, 18, 30, "open", "pg(5,14,2)?"], [216, 86, 40, 30, "open", ""], [216, 90, 39, 36, "open", "S(2,6,81)?"], [216, 125, 70, 75, "open", ""], [216, 129, 72, 84, "open", ""], [216, 140, 94, 84, "open", ""], [216, 145, 88, 116, "impossible", "Absolute bound"], [216, 172, 136, 140, "open", ""], [216, 175, 142, 140, "exists", ""], [217, 66, 15, 22, "open", "pg(6,10,2)?"], [217, 88, 39, 33, "open", ""], [217, 108, 53, 54, "impossible", "Conf"], [217, 128, 72, 80, "open", ""], [217, 150, 105, 100, "open", ""], [220, 72, 22, 24, "open", "pg(9,7,3)?"], [220, 84, 38, 28, "exists", "Tonchev: intersection-3 graph of a quasisymmetric 2-(45,9,8) design with intersection numbers 1, 3"], [220, 135, 78, 90, "exists", "pg(9,14,6)?"], [220, 147, 98, 98, "open", ""], [221, 64, 24, 16, "exists", "S(2,4,52)"], [221, 110, 54, 55, "open", "2-graph*?"], [221, 156, 107, 117, "exists", "pg(12,12,9)"], [222, 51, 20, 9, "exists", "S(2,3,37)"], [222, 170, 127, 140, "exists", ""], [225, 28, 13, 2, "exists", "15<sup>2</sup>"], [225, 42, 15, 6, "exists", "OA(15,3)"], [225, 48, 3, 12, "open", ""], [225, 56, 1, 18, "impossible", "Krein2"], [225, 56, 19, 12, "exists", "OA(15,4)"], [225, 64, 13, 20, "open", ""], [225, 70, 25, 20, "exists", "OA(15,5)"], [225, 80, 25, 30, "open", "pg(8,9,3)?"], [225, 84, 33, 30, "exists", "OA(15,6)"], [225, 96, 19, 57, "impossible", "Krein2; Absolute bound"], [225, 96, 39, 42, "open", ""], [225, 96, 51, 33, "open", ""], [225, 98, 43, 42, "exists", "OA(15,7)?; <a href=\"srgtabrefs.html#Pasechnik92\">Pasechnik(15)</a>"], [225, 112, 55, 56, "exists", "skewhad$^2$; OA(15,8)?; 2-graph*"], [225, 126, 69, 72, "exists", "OA(15,9)?"], [225, 128, 64, 84, "open", ""], [225, 128, 73, 72, "open", ""], [225, 128, 88, 52, "impossible", "Krein1; Absolute bound"], [225, 140, 85, 90, "exists", "OA(15,10)?"], [225, 144, 93, 90, "open", ""], [225, 154, 103, 110, "exists", "OA(15,11)?"], [225, 160, 115, 110, "open", ""], [225, 168, 123, 132, "exists", "OA(15,12)?"], [225, 168, 129, 114, "impossible", "Krein1"], [225, 176, 139, 132, "open", ""], [225, 182, 145, 156, "exists", "OA(15,13)?"], [225, 196, 169, 182, "exists", "OA(15,14)?"], [226, 105, 48, 49, "exists", "switch skewhad<sup>2</sup>+*; 2-graph"], [226, 120, 63, 64, "exists", "S(2,8,113)?; 2-graph"], [229, 114, 56, 57, "exists", "Paley(229); 2-graph*"], [231, 30, 9, 3, "exists", "M<sub>22</sub> - Cameron"], [231, 40, 20, 4, "exists", "Triangular graph T(22)"], [231, 70, 21, 21, "open", "pg(10,6,3)?"], [231, 90, 33, 36, "open", "pg(10,8,4)?"], [231, 140, 85, 84, "open", ""], [231, 160, 110, 112, "open", ""], [231, 190, 153, 171, "exists", "pg(10,18,9)?"], [231, 200, 172, 180, "exists", ""], [232, 33, 2, 5, "open", ""], [232, 63, 14, 18, "open", "pg(7,8,2)?"], [232, 77, 36, 20, "open", ""], [232, 81, 30, 27, "open", ""], [232, 150, 95, 100, "open", "S(2,10,145)?"], [232, 154, 96, 114, "open", ""], [232, 168, 122, 120, "open", ""], [232, 198, 169, 168, "open", ""], [233, 116, 57, 58, "exists", "Paley(233); 2-graph*"], [235, 42, 9, 7, "open", ""], [235, 52, 9, 12, "open", ""], [235, 182, 141, 140, "open", ""], [235, 192, 156, 160, "open", ""], [236, 55, 18, 11, "open", ""], [236, 180, 135, 144, "open", "S(2,12,177)?"], [237, 118, 58, 59, "impossible", "Conf"], [238, 75, 20, 25, "open", ""], [238, 162, 111, 108, "open", ""], [241, 120, 59, 60, "exists", "Paley(241); 2-graph*"], [243, 22, 1, 2, "exists", "3<sup>5</sup>.2.M<sub>11</sub> (rk 3) - Berlekamp-vanLint-Seidel; Golay code: projective ternary [11,5] code with weights 6, 9"], [243, 66, 9, 21, "open", ""], [243, 88, 52, 20, "impossible", "Absolute bound"], [243, 110, 37, 60, "exists", "3<sup>5</sup>.2.M<sub>11</sub> (rk 3) - Delsarte; projective ternary [55,5] code with weights 36, 45"], [243, 112, 46, 56, "open", "pg(8,13,4)?; 2-graph*?"], [243, 130, 73, 65, "open", "2-graph*?"], [243, 132, 81, 60, "exists", ""], [243, 154, 85, 119, "impossible", "Absolute bound"], [243, 176, 130, 120, "open", ""], [243, 220, 199, 200, "exists", ""], [244, 108, 42, 52, "open", "2-graph?"], [244, 117, 60, 52, "open", "2-graph?"], [244, 126, 60, 70, "open", "2-graph?"], [244, 135, 78, 70, "open", "2-graph?"], [245, 52, 3, 13, "open", ""], [245, 64, 18, 16, "open", ""], [245, 108, 39, 54, "open", "pg(6,17,3)?; 2-graph*?"], [245, 122, 60, 61, "open", "2-graph*?"], [245, 136, 81, 68, "open", "2-graph*?"], [245, 180, 131, 135, "open", ""], [245, 192, 152, 144, "open", ""], [246, 85, 20, 34, "open", "pg(5,16,2)?"], [246, 105, 36, 51, "open", "2-graph?"], [246, 119, 64, 51, "open", "2-graph?"], [246, 126, 57, 72, "open", "2-graph?"], [246, 140, 85, 72, "open", "2-graph?"], [246, 160, 108, 96, "open", ""], [247, 54, 21, 9, "exists", "S(2,3,39)"], [247, 192, 146, 160, "exists", "pg(12,15,10)?"], [249, 88, 27, 33, "open", ""], [249, 124, 61, 62, "impossible", "Conf"], [249, 160, 104, 100, "open", ""], [250, 81, 24, 27, "open", "pg(9,8,3)?"], [250, 96, 44, 32, "open", ""], [250, 153, 88, 102, "open", "pg(9,16,6)?"], [250, 168, 113, 112, "open", ""], [253, 42, 21, 4, "exists", "Triangular graph T(23)"], [253, 90, 17, 40, "impossible", "Krein2"], [253, 112, 36, 60, "exists", "S(4,7,23) - M<sub>23</sub>"], [253, 126, 62, 63, "impossible", "Conf"], [253, 140, 87, 65, "exists", "Witt 4-(23,7,1): intersection-3 graph of a quasisymmetric 2-(23,7,21) design with intersection numbers 1, 3"], [253, 162, 111, 90, "impossible", "Krein1"], [253, 210, 171, 190, "exists", ""], [255, 126, 61, 63, "exists", "\tO(9,2) Sp(8,2); pg(14,8,7); 2-graph*"], [255, 128, 64, 64, "exists", "S(2,8,120); 2-graph*"], [256, 30, 14, 2, "exists", "16<sup>2</sup>; from a partial spread: projective 4-ary [10,4] code with weights 4, 8; from a partial spread of 4-spaces: projective binary [30,8] code with weights 8, 16"], [256, 45, 16, 6, "exists", "OA(16,3); Bilin<sub>2x4</sub>(2); <a href=\"srgtabrefs.html#Brouwer85\">Brouwer</a>(q=4,d=2,e=2,+); from a partial spread: projective 4-ary [15,4] code with weights 8, 12; from a partial spread of 4-spaces: projective binary [45,8] code with weights 16, 24"], [256, 51, 2, 12, "exists", "vanLint-Schrijver(1); VO<sup>\u2013</sup>(4,4) affine polar graph; projective 4-ary [17,4] code with weights 12, 16"], [256, 60, 20, 12, "exists", "Jenrich (rk 4); OA(16,4); Wallis (AR(4,1)+S(2,4,16)); from a partial spread: projective 4-ary [20,4] code with weights 12, 16; <a href=\"srgtabrefs.html#Brouwer85\">Brouwer</a>(q=2,d=4,e=2,+); from a partial spread of 4-spaces: projective binary [60,8] code with weights 24, 32"], [256, 66, 2, 22, "impossible", "Krein2"], [256, 68, 12, 20, "exists", "<a href=\"srgtabrefs.html#Brouwer85\">Brouwer</a>(q=2,d=4,e=2,-); projective binary [68,8] code with weights 32, 40"], [256, 75, 26, 20, "exists", "OA(16,5); Bilin<sub>2x2</sub>(4); Wallis2 (AR(4,1)+S(2,4,16)); VO<sup>+</sup>(4,4) affine polar graph; from a partial spread: projective 4-ary [25,4] code with weights 16, 20; from a partial spread of 4-spaces: projective binary [75,8] code with weights 32, 40"], [256, 85, 24, 30, "exists", "vanLint-Schrijver(1); CK - CY1: projective binary [85,8] code with weights 40, 48"], [256, 90, 34, 30, "exists", "OA(16,6); from a partial spread: projective 4-ary [30,4] code with weights 20, 24; from a partial spread of 4-spaces: projective binary [90,8] code with weights 40, 48"], [256, 102, 38, 42, "exists", "2<sup>8</sup>.L<sub>2</sub>(17) (rk 3) - Liebeck; vanLint-Schrijver(2); CK - CY1: projective 4-ary [34,4] code with weights 24, 28"], [256, 105, 44, 42, "exists", "OA(16,7); from a partial spread: projective 4-ary [35,4] code with weights 24, 28; <a href=\"srgtabrefs.html#Brouwer85\">Brouwer</a>(q=2,d=2,e=4,+); from a partial spread of 4-spaces: projective binary [105,8] code with weights 48, 56"], [256, 119, 54, 56, "exists", "VO<sup>\u2013</sup>(8,2) affine polar graph; projective binary [119,8] code with weights 56, 64; RSHCD<sup>\u2013</sup>; 2-graph"], [256, 120, 56, 56, "exists", "OA(16,8); Wallis (AR(2,4)+S(2,2,16)); from a partial spread: projective 4-ary [40,4] code with weights 28, 32; from a partial spread of 4-spaces: projective binary [120,8] code with weights 56, 64; RSHCD<sup>+</sup>; 2-graph"], [256, 135, 70, 72, "exists", "OA(16,9); Wallis2 (AR(2,4)+S(2,2,16)); Goethals-Seidel(2,15); VO<sup>+</sup>(8,2) affine polar graph; 2-graph"], [256, 136, 72, 72, "exists", "from 2-(16,2,1) with 1-factor <a href=\"srgtabrefs.html#Fickus_et_al15\">Fickus et al.</a>; 2-graph"], [256, 150, 86, 90, "exists", "OA(16,10)"], [256, 153, 92, 90, "exists", "vanLint-Schrijver(3)"], [256, 165, 104, 110, "exists", "OA(16,11)"], [256, 170, 114, 110, "exists", "vanLint-Schrijver(2)"], [256, 180, 124, 132, "exists", "OA(16,12)"], [256, 187, 138, 132, "exists", ""], [256, 189, 144, 126, "impossible", "Krein1"], [256, 195, 146, 156, "exists", "OA(16,13)"], [256, 204, 164, 156, "exists", "vanLint-Schrijver(4)"], [256, 210, 170, 182, "exists", "OA(16,14)"], [256, 225, 196, 210, "exists", "OA(16,15)"], [257, 128, 63, 64, "exists", "Paley(257); 2-graph*"], [259, 42, 5, 7, "open", ""], [259, 216, 180, 180, "open", ""], [260, 70, 15, 20, "open", "pg(7,9,2)?"], [260, 189, 138, 135, "open", ""], [261, 52, 11, 10, "open", ""], [261, 64, 14, 16, "open", "pg(8,7,2)?"], [261, 80, 25, 24, "open", ""], [261, 84, 39, 21, "open", ""], [261, 130, 64, 65, "open", "2-graph*?"], [261, 176, 112, 132, "open", "pg(8,21,6)?"], [261, 180, 123, 126, "open", ""], [261, 196, 147, 147, "open", ""], [261, 208, 165, 168, "open", ""], [265, 96, 32, 36, "open", ""], [265, 132, 65, 66, "open", "2-graph*?"], [265, 168, 107, 105, "open", ""], [266, 45, 0, 9, "open", ""], [266, 220, 183, 176, "open", ""], [269, 134, 66, 67, "exists", "Paley(269); 2-graph*"], [273, 72, 21, 18, "open", "pg(12,5,3)?"], [273, 80, 19, 25, "open", ""], [273, 102, 41, 36, "exists", "S(2,6,91)"], [273, 136, 65, 70, "open", ""], [273, 136, 67, 68, "impossible", "Conf"], [273, 136, 69, 66, "open", ""], [273, 170, 103, 110, "exists", ""], [273, 192, 136, 132, "open", ""], [273, 200, 145, 150, "open", ""], [275, 112, 30, 56, "exists", "q222=0; pg(4,27,2) does not exist by <a href=\"srgtabrefs.html#OstergardSoicher16\">Soicher-\u00d6sterg\u00e5rd</a>; 2-graph*"], [275, 162, 105, 81, "exists", "McLaughlin graph McL.2 / U<sub>4</sub>(3).2; unique by <a href=\"srgtabrefs.html#GoethalsSeidel75\">Goethals & Seidel</a>; q111=0; 2-graph*"], [276, 44, 22, 4, "exists", "Triangular graph T(24)"], [276, 75, 10, 24, "open", ""], [276, 75, 18, 21, "open", ""], [276, 110, 28, 54, "impossible", "Krein2; Absolute bound"], [276, 110, 52, 38, "open", ""], [276, 135, 78, 54, "exists", "Conway-Goethals&Seidel; 2-graph"], [276, 140, 58, 84, "exists", "pg(5,27,3)?; 2-graph"], [276, 165, 92, 108, "open", ""], [276, 165, 108, 84, "impossible", "Krein1; Absolute bound"], [276, 200, 145, 144, "open", ""], [276, 200, 148, 136, "open", ""], [276, 231, 190, 210, "exists", "pg(11,20,10)?"], [277, 138, 68, 69, "exists", "Paley(277); 2-graph*"], [279, 128, 52, 64, "exists", "pg(8,15,4)?; 2-graph*"], [279, 150, 85, 75, "exists", "2-graph*"], [280, 36, 8, 4, "exists", "J<sub>2</sub> / 3PGL<sub>2</sub>(9) (rk 4); U(4,3) polar graph; GQ(9,3)"], [280, 62, 12, 14, "open", ""], [280, 63, 14, 14, "open", "pg(9,6,2)?"], [280, 117, 44, 52, "exists", "pg(9,12,4)?"], [280, 124, 48, 60, "open", "2-graph?"], [280, 135, 70, 60, "exists", "J<sub>2</sub> / 3PGL<sub>2</sub>(9) (rk 4); 2-graph"], [280, 144, 68, 80, "exists", "pg(9,15,5)?; 2-graph"], [280, 155, 90, 80, "open", "2-graph?"], [280, 162, 96, 90, "exists", "Sym(9) (rk 5) - Mathon & Rosa"], [280, 216, 166, 168, "open", ""], [280, 217, 168, 168, "open", ""], [280, 243, 210, 216, "exists", ""], [281, 140, 69, 70, "exists", "Paley(281); 2-graph*"], [285, 64, 8, 16, "open", ""], [285, 142, 70, 71, "impossible", "Conf"], [285, 220, 171, 165, "open", ""], [286, 95, 24, 35, "open", ""], [286, 125, 60, 50, "open", ""], [286, 160, 84, 96, "open", "pg(10,15,6)?"], [286, 190, 129, 120, "open", ""], [287, 126, 45, 63, "open", "pg(6,20,3)?; 2-graph*?"], [287, 160, 96, 80, "open", "2-graph*?"], [288, 41, 4, 6, "open", ""], [288, 42, 6, 6, "open", ""], [288, 105, 52, 30, "open", ""], [288, 112, 36, 48, "open", "pg(7,15,3)?"], [288, 123, 42, 60, "open", "2-graph?"], [288, 140, 76, 60, "open", "2-graph?"], [288, 147, 66, 84, "open", "pg(7,20,4)?; 2-graph?"], [288, 164, 100, 84, "open", "2-graph?"], [288, 175, 110, 100, "open", ""], [288, 182, 106, 130, "open", "pg(7,25,5)?"], [288, 245, 208, 210, "open", ""], [288, 246, 210, 210, "open", ""], [289, 32, 15, 2, "exists", "17<sup>2</sup>"], [289, 48, 17, 6, "exists", "OA(17,3)"], [289, 54, 1, 12, "impossible", "<a href=\"srgtabrefs.html#BondarenkoRadchenko12\">Bondarenko-Radchenko</a>"], [289, 64, 21, 12, "exists", "OA(17,4)"], [289, 72, 11, 20, "open", ""], [289, 80, 27, 20, "exists", "OA(17,5)"], [289, 90, 23, 30, "open", ""], [289, 96, 35, 30, "exists", "OA(17,6)"], [289, 108, 37, 42, "open", ""], [289, 112, 45, 42, "exists", "OA(17,7)"], [289, 120, 21, 70, "impossible", "Krein2; Absolute bound"], [289, 126, 53, 56, "open", ""], [289, 128, 57, 56, "exists", "OA(17,8)"], [289, 144, 71, 72, "exists", "Paley(289); OA(17,9); 2-graph*"], [289, 160, 87, 90, "exists", "OA(17,10)"], [289, 162, 91, 90, "open", ""], [289, 168, 117, 70, "impossible", "Krein1; Absolute bound"], [289, 176, 105, 110, "exists", "OA(17,11)"], [289, 180, 113, 110, "open", ""], [289, 192, 125, 132, "exists", "OA(17,12)"], [289, 198, 137, 132, "open", ""], [289, 208, 147, 156, "exists", "OA(17,13)"], [289, 216, 163, 156, "open", ""], [289, 224, 171, 182, "exists", "OA(17,14)"], [289, 234, 191, 182, "impossible", ""], [289, 240, 197, 210, "exists", "OA(17,15)"], [289, 256, 225, 240, "exists", "OA(17,16)"], [290, 136, 63, 64, "exists", "switch OA(17,9)+*; 2-graph"], [290, 153, 80, 81, "exists", "S(2,9,145)?; 2-graph"], [293, 146, 72, 73, "exists", "Paley(293); 2-graph*"], [297, 40, 7, 5, "exists", "dual polar graph of lines in U<sub>5</sub>(2); GQ(8,4)"], [297, 104, 31, 39, "open", "pg(8,12,3)?"], [297, 128, 64, 48, "open", ""], [297, 148, 73, 74, "impossible", "Conf"], [297, 168, 87, 105, "open", "pg(8,20,5)?"], [297, 192, 126, 120, "open", ""], [297, 256, 220, 224, "exists", ""], [300, 26, 4, 2, "open", ""], [300, 46, 23, 4, "exists", "Triangular graph T(25)"], [300, 65, 10, 15, "exists", "NO<sup>\u2013,orth</sup>(5,5)"], [300, 69, 18, 15, "open", ""], [300, 92, 10, 36, "impossible", "Krein2; Absolute bound"], [300, 104, 28, 40, "exists", "NO<sup>\u2013</sup>(5,5)"], [300, 115, 50, 40, "open", ""], [300, 117, 60, 36, "open", ""], [300, 182, 100, 126, "open", ""], [300, 184, 108, 120, "open", ""], [300, 195, 130, 120, "exists", ""], [300, 207, 150, 126, "impossible", "Krein1; Absolute bound"], [300, 230, 175, 180, "open", ""], [300, 234, 183, 180, "exists", ""], [300, 253, 210, 231, "exists", ""], [300, 273, 248, 252, "open", ""], [301, 60, 23, 9, "exists", "S(2,3,43)"], [301, 108, 27, 45, "open", ""], [301, 150, 65, 84, "open", ""], [301, 150, 74, 75, "impossible", "Conf"], [301, 150, 83, 66, "open", ""], [301, 192, 128, 112, "open", ""], [301, 240, 188, 204, "exists", ""], [304, 108, 42, 36, "exists", "S(2,6,96)"], [304, 195, 122, 130, "exists", "pg(15,12,10)?"], [305, 76, 27, 16, "exists", "S(2,4,61)"], [305, 152, 75, 76, "open", "2-graph*?"], [305, 228, 167, 180, "exists", ""], [306, 55, 4, 11, "open", ""], [306, 60, 10, 12, "open", ""], [306, 245, 196, 196, "open", ""], [306, 250, 205, 200, "open", ""], [309, 154, 76, 77, "impossible", "Conf"], [313, 156, 77, 78, "exists", "Paley(313); 2-graph*"], [317, 158, 78, 79, "exists", "Paley(317); 2-graph*"], [319, 150, 65, 75, "open", "pg(10,14,5)?; 2-graph*?"], [319, 168, 92, 84, "open", "2-graph*?"], [320, 87, 22, 24, "open", ""], [320, 88, 24, 24, "open", ""], [320, 99, 18, 36, "open", ""], [320, 132, 46, 60, "open", ""], [320, 145, 60, 70, "open", "2-graph?"], [320, 154, 78, 70, "open", "2-graph?"], [320, 165, 80, 90, "open", "pg(11,14,6)?; 2-graph?"], [320, 174, 98, 90, "open", "2-graph?"], [320, 187, 114, 102, "open", ""], [320, 220, 156, 140, "open", ""], [320, 231, 166, 168, "open", ""], [320, 232, 168, 168, "open", ""], [321, 160, 79, 80, "impossible", "Conf"], [322, 96, 20, 32, "open", "pg(6,15,2)?"], [322, 225, 160, 150, "open", ""], [323, 160, 78, 80, "exists", "pg(16,9,8)?; 2-graph*"], [323, 162, 81, 81, "exists", "S(2,9,153)?; 2-graph*"], [324, 34, 16, 2, "exists", "18<sup>2</sup>"], [324, 51, 18, 6, "exists", "OA(18,3)"], [324, 57, 0, 12, "impossible", "<a href=\"srgtabrefs.html#GavrilyukMakhnev05\">Gavrilyuk & Makhnev</a> and <a href=\"srgtabrefs.html#KaskiOstergard07\">Kaski & \u00d6sterg\u00e5rd</a>"], [324, 68, 7, 16, "open", ""], [324, 68, 22, 12, "exists", "OA(18,4)"], [324, 76, 10, 20, "open", ""], [324, 85, 28, 20, "exists", "OA(18,5)"], [324, 95, 22, 30, "open", ""], [324, 95, 34, 25, "exists", "S(2,5,81)"], [324, 102, 36, 30, "exists", "OA(18,6)"], [324, 114, 36, 42, "open", ""], [324, 119, 46, 42, "exists", "OA(18,7)"], [324, 133, 22, 77, "impossible", "Krein2; Absolute bound"], [324, 133, 52, 56, "open", ""], [324, 136, 58, 56, "open", "OA(18,8)?"], [324, 152, 70, 72, "exists", "RSHCD<sup>\u2013</sup>; 2-graph"], [324, 153, 72, 72, "exists", "OA(18,9)?; RSHCD<sup>+</sup>; 2-graph"], [324, 170, 88, 90, "exists", "OA(18,10)?; 2-graph"], [324, 171, 90, 90, "exists", "2-graph"], [324, 187, 106, 110, "open", "OA(18,11)?"], [324, 190, 112, 110, "open", ""], [324, 190, 133, 80, "impossible", "Krein1; Absolute bound"], [324, 204, 126, 132, "exists", "OA(18,12)?"], [324, 209, 136, 132, "open", ""], [324, 221, 148, 156, "exists", "OA(18,13)?"], [324, 228, 157, 168, "exists", ""], [324, 228, 162, 156, "open", ""], [324, 238, 172, 182, "exists", "OA(18,14)?"], [324, 247, 190, 182, "open", ""], [324, 255, 198, 210, "exists", "OA(18,15)?"], [324, 255, 202, 195, "open", ""], [324, 266, 220, 210, "impossible", ""], [324, 272, 226, 240, "exists", "OA(18,16)?"], [324, 289, 256, 272, "exists", "OA(18,17)?"], [325, 48, 24, 4, "exists", "Triangular graph T(26)"], [325, 54, 3, 10, "open", ""], [325, 60, 15, 10, "exists", "NO<sup>+,orth</sup>(5,5); Wallis (AR(5,1)+S(2,3,13)); pg(12,4,2)?"], [325, 68, 3, 17, "exists", "q222=0; O<sup>\u2013</sup>(6,4) polar graph; GQ(4,16)"], [325, 72, 15, 16, "open", "pg(9,7,2)?"], [325, 108, 63, 22, "impossible", "Absolute bound"], [325, 144, 68, 60, "exists", "NO<sup>+</sup>(5,5)"], [325, 162, 80, 81, "open", "2-graph*?"], [325, 180, 95, 105, "exists", "pg(12,14,7)?"], [325, 216, 129, 172, "impossible", "Absolute bound"], [325, 252, 195, 196, "open", ""], [325, 256, 204, 192, "exists", "q111=0"], [325, 264, 213, 220, "exists", ""], [325, 270, 225, 220, "open", ""], [325, 276, 231, 253, "exists", "pg(12,22,11)?"], [329, 40, 3, 5, "open", ""], [329, 164, 81, 82, "impossible", "Conf"], [329, 288, 252, 252, "open", ""], [330, 63, 24, 9, "exists", "dist. 1 or 4 in J(11,4) - Mathon; S(2,3,45)"], [330, 105, 40, 30, "open", ""], [330, 140, 58, 60, "open", "pg(14,9,6)?"], [330, 189, 108, 108, "open", ""], [330, 224, 148, 160, "open", "pg(14,15,10)?"], [330, 266, 211, 228, "exists", "pg(14,18,12)?"], [333, 166, 82, 83, "open", "2-graph*?"], [336, 80, 28, 16, "exists", "Jenrich; S(2,4,64); intersection-12 graph of a quasisymmetric 2-(64,24,46) design with intersection numbers 8, 12; Lines in AG(3,4) (rk 4); Wallis (AR(4,1)+S(2,5,21))"], [336, 125, 40, 50, "open", ""], [336, 135, 54, 54, "open", "pg(15,8,6)?"], [336, 200, 118, 120, "open", ""], [336, 210, 134, 126, "open", ""], [336, 255, 190, 204, "exists", "pg(15,16,12)?"], [337, 168, 83, 84, "exists", "Paley(337); 2-graph*"], [340, 108, 30, 36, "open", "pg(9,11,3)?"], [340, 231, 158, 154, "open", ""], [341, 70, 15, 14, "open", "pg(10,6,2)?"], [341, 84, 19, 21, "open", ""], [341, 102, 31, 30, "open", ""], [341, 170, 84, 85, "impossible", "Conf"], [341, 238, 165, 168, "open", ""], [341, 256, 192, 192, "open", ""], [341, 270, 213, 216, "open", ""], [342, 33, 4, 3, "open", ""], [342, 66, 15, 12, "open", "pg(11,5,2)?"], [342, 275, 220, 225, "open", ""], [342, 308, 277, 280, "open", ""], [343, 54, 5, 9, "exists", "<a href=\"srgtabrefs.html#Godsil92\">Godsil</a>(q=7,r=4); GQ(6,8)"], [343, 96, 54, 16, "impossible", "Absolute bound"], [343, 102, 21, 34, "open", "pg(6,16,2)?"], [343, 114, 45, 34, "open", ""], [343, 150, 53, 75, "exists", "<a href=\"srgtabrefs.html#Godsil92\">Godsil</a>(q=7,r=2); pg(6,24,3)?; 2-graph*"], [343, 162, 81, 72, "open", ""], [343, 180, 89, 100, "open", ""], [343, 192, 116, 96, "exists", "2-graph*"], [343, 228, 147, 160, "open", ""], [343, 240, 171, 160, "open", ""], [343, 246, 165, 205, "impossible", "Absolute bound"], [343, 288, 242, 240, "exists", ""], [344, 147, 50, 72, "open", "2-graph?"], [344, 168, 92, 72, "exists", "2-graph"], [344, 175, 78, 100, "exists", "pg(7,24,4)?; Taylor 2-graph for U<sub>3</sub>(7)"], [344, 196, 120, 100, "open", "2-graph?"], [345, 120, 35, 45, "open", "pg(8,14,3)?"], [345, 128, 46, 48, "open", ""], [345, 172, 85, 86, "impossible", "Conf"], [345, 216, 135, 135, "open", ""], [345, 224, 148, 140, "open", ""], [349, 174, 86, 87, "exists", "Paley(349); 2-graph*"], [351, 50, 13, 6, "open", ""], [351, 50, 25, 4, "exists", "Triangular graph T(27)"], [351, 70, 13, 14, "open", ""], [351, 110, 37, 33, "open", ""], [351, 112, 43, 32, "open", ""], [351, 126, 45, 45, "exists", ""], [351, 140, 49, 60, "open", ""], [351, 140, 73, 44, "open", ""], [351, 150, 81, 51, "impossible", "Absolute bound"], [351, 160, 64, 80, "open", "pg(8,19,4)?; 2-graph*?"], [351, 190, 109, 95, "open", "2-graph*?"], [351, 200, 100, 132, "impossible", "Absolute bound"], [351, 210, 113, 144, "open", ""], [351, 210, 129, 120, "open", ""], [351, 224, 142, 144, "exists", "NO<sup>\u2013</sup>(7,3)"], [351, 238, 157, 170, "open", ""], [351, 240, 162, 168, "open", ""], [351, 280, 223, 224, "open", ""], [351, 300, 253, 276, "exists", ""], [351, 300, 255, 264, "open", ""], [352, 26, 0, 2, "open", ""], [352, 36, 0, 4, "open", ""], [352, 39, 6, 4, "open", ""], [352, 108, 44, 28, "open", ""], [352, 117, 36, 40, "open", ""], [352, 126, 50, 42, "open", ""], [352, 130, 78, 30, "impossible", "Absolute bound"], [352, 156, 60, 76, "open", "2-graph?"], [352, 171, 90, 76, "open", "2-graph?"], [352, 180, 84, 100, "open", "pg(9,19,5)?; 2-graph?"], [352, 195, 114, 100, "open", "2-graph?"], [352, 221, 120, 170, "impossible", "Absolute bound"], [352, 225, 140, 150, "open", "pg(15,14,10)?"], [352, 234, 156, 154, "open", ""], [352, 243, 162, 180, "open", ""], [352, 312, 276, 280, "open", ""], [352, 315, 282, 280, "open", ""], [352, 325, 300, 300, "open", ""], [353, 176, 87, 88, "exists", "Paley(353); 2-graph*"], [357, 100, 35, 25, "exists", "S(2,5,85); lines in PG(3,4); O<sup>+</sup>(6,4)"], [357, 178, 88, 89, "impossible", "Conf"], [357, 256, 180, 192, "exists", "pg(16,15,12)?"], [361, 36, 17, 2, "exists", "19<sup>2</sup>"], [361, 54, 19, 6, "exists", "OA(19,3)"], [361, 72, 23, 12, "exists", "OA(19,4)"], [361, 80, 9, 20, "open", ""], [361, 90, 29, 20, "exists", "OA(19,5)"], [361, 100, 21, 30, "open", ""], [361, 108, 37, 30, "exists", "OA(19,6)"], [361, 120, 35, 42, "open", ""], [361, 126, 47, 42, "exists", "OA(19,7)"], [361, 140, 51, 56, "open", ""], [361, 144, 59, 56, "exists", "OA(19,8)"], [361, 150, 93, 40, "impossible", "Absolute bound"], [361, 160, 69, 72, "open", ""], [361, 162, 73, 72, "exists", "OA(19,9); <a href=\"srgtabrefs.html#Pasechnik92\">Pasechnik(19)</a>"], [361, 168, 95, 63, "impossible", "Absolute bound"], [361, 180, 89, 90, "exists", "Paley(361); OA(19,10); 2-graph*"], [361, 192, 86, 120, "impossible", "Absolute bound"], [361, 198, 107, 110, "exists", "OA(19,11)"], [361, 200, 111, 110, "open", ""], [361, 210, 99, 154, "impossible", "Absolute bound"], [361, 216, 127, 132, "exists", "OA(19,12)"], [361, 220, 135, 132, "open", ""], [361, 234, 149, 156, "exists", "OA(19,13)"], [361, 240, 161, 156, "open", ""], [361, 252, 173, 182, "exists", "OA(19,14)"], [361, 260, 189, 182, "open", ""], [361, 270, 199, 210, "exists", "OA(19,15)"], [361, 280, 219, 210, "open", ""], [361, 288, 227, 240, "exists", "OA(19,16)"], [361, 306, 257, 272, "exists", "OA(19,17)"], [361, 324, 289, 306, "exists", "OA(19,18)"], [362, 171, 80, 81, "exists", "switch OA(19,10)+*; switch skewhad<sup>2</sup>+*; 2-graph"], [362, 190, 99, 100, "exists", "S(2,10,181)?; 2-graph"], [363, 170, 73, 85, "open", "pg(10,16,5)?; 2-graph*?"], [363, 192, 106, 96, "open", "2-graph*?"], [364, 33, 2, 3, "open", ""], [364, 66, 20, 10, "open", ""], [364, 88, 12, 24, "open", ""], [364, 120, 38, 40, "exists", "\tO(7,3) Sp(6,3); pg(12,9,4)?"], [364, 121, 48, 36, "open", ""], [364, 165, 68, 80, "open", "2-graph?"], [364, 176, 90, 80, "open", "2-graph?"], [364, 187, 90, 102, "open", "2-graph?"], [364, 198, 112, 102, "open", "2-graph?"], [364, 242, 156, 170, "open", ""], [364, 243, 162, 162, "exists", ""], [364, 275, 210, 200, "open", ""], [364, 297, 240, 252, "open", ""], [364, 330, 299, 300, "open", ""], [365, 182, 90, 91, "open", "2-graph*?"], [369, 184, 91, 92, "open", "2-graph*?"], [371, 120, 44, 36, "exists", "S(2,6,106)"], [371, 250, 165, 175, "exists", ""], [372, 56, 10, 8, "open", ""], [372, 315, 266, 270, "open", ""], [373, 186, 92, 93, "exists", "Paley(373); 2-graph*"], [375, 22, 5, 1, "impossible", "mu=1"], [375, 66, 9, 12, "open", ""], [375, 68, 13, 12, "open", ""], [375, 102, 45, 21, "open", ""], [375, 110, 25, 35, "open", ""], [375, 136, 44, 52, "open", ""], [375, 154, 53, 70, "open", ""], [375, 170, 85, 70, "open", ""], [375, 176, 94, 72, "open", ""], [375, 182, 85, 91, "open", "pg(14,12,7)?; 2-graph*?"], [375, 192, 100, 96, "open", "2-graph*?"], [375, 198, 93, 117, "open", ""], [375, 204, 103, 120, "open", ""], [375, 220, 135, 120, "open", ""], [375, 238, 153, 147, "open", ""], [375, 264, 188, 180, "open", ""], [375, 272, 190, 216, "open", ""], [375, 306, 249, 252, "open", ""], [375, 308, 253, 252, "open", ""], [375, 352, 330, 336, "impossible", ""], [376, 105, 32, 28, "open", ""], [376, 175, 78, 84, "open", "2-graph?"], [376, 180, 88, 84, "open", "2-graph?"], [376, 195, 98, 104, "open", "2-graph?"], [376, 200, 108, 104, "open", "2-graph?"], [376, 270, 192, 198, "open", ""], [377, 180, 81, 90, "open", "pg(12,14,6)?; 2-graph*?"], [377, 188, 93, 94, "open", "2-graph*?"], [377, 196, 105, 98, "open", "2-graph*?"], [378, 52, 1, 8, "exists", "<a href=\"srgtabrefs.html#CossidentePenttila05\">Cossidente-Penttila hemisystem</a> in PG(3,5<sup>2</sup>)"], [378, 52, 26, 4, "exists", "Triangular graph T(28)"], [378, 116, 34, 36, "exists", "<a href=\"srgtabrefs.html#Muzychuk07\">Muzychuk S6</a> (n=3,d=3)"], [378, 117, 36, 36, "exists", "Wallis (AR(3,3)+S(2,2,14)); pg(13,8,4)?"], [378, 174, 75, 84, "open", "2-graph?"], [378, 182, 91, 84, "open", "2-graph?"], [378, 195, 96, 105, "open", "pg(13,14,7)?; 2-graph?"], [378, 203, 112, 105, "open", "2-graph?"], [378, 260, 178, 180, "exists", "NO<sup>+</sup>(7,3)"], [378, 261, 180, 180, "exists", ""], [378, 325, 276, 300, "exists", "pg(13,24,12)?"], [378, 325, 280, 275, "exists", ""], [381, 114, 29, 36, "open", ""], [381, 140, 55, 49, "open", "S(2,7,127)?"], [381, 190, 94, 95, "impossible", "Conf"], [381, 240, 148, 156, "open", ""], [381, 266, 187, 182, "open", ""], [385, 60, 5, 10, "open", ""], [385, 168, 77, 70, "open", ""], [385, 192, 95, 96, "impossible", "Conf"], [385, 216, 117, 126, "open", ""], [385, 324, 273, 270, "open", ""], [389, 194, 96, 97, "exists", "Paley(389); 2-graph*"], [391, 140, 39, 56, "open", ""], [391, 182, 93, 77, "open", ""], [391, 208, 102, 120, "open", ""], [391, 250, 165, 150, "open", ""], [392, 46, 0, 6, "open", ""], [392, 51, 10, 6, "open", ""], [392, 69, 26, 9, "exists", "S(2,3,49)"], [392, 115, 18, 40, "open", "q222=0"], [392, 136, 60, 40, "open", ""], [392, 153, 54, 63, "open", ""], [392, 184, 66, 104, "impossible", "Absolute bound"], [392, 207, 126, 90, "impossible", "Absolute bound"], [392, 238, 147, 140, "open", ""], [392, 255, 158, 180, "open", ""], [392, 276, 200, 180, "open", "q111=0"], [392, 322, 261, 280, "exists", ""], [392, 340, 294, 300, "open", ""], [392, 345, 304, 300, "open", ""], [393, 196, 97, 98, "impossible", "Conf"], [396, 135, 30, 54, "open", "pg(5,26,2)?"], [396, 150, 51, 60, "open", "pg(10,14,4)?"], [396, 245, 154, 147, "open", ""], [396, 260, 178, 156, "open", ""], [397, 198, 98, 99, "exists", "Paley(397); 2-graph*"], [399, 198, 97, 99, "exists", "pg(18,10,9)?; 2-graph*"], [399, 200, 100, 100, "exists", "S(2,10,190)?; 2-graph*"], [400, 21, 2, 1, "open", ""], [400, 38, 18, 2, "exists", "20<sup>2</sup>"], [400, 56, 6, 8, "exists", "\tO(5,7) Sp(4,7); GQ(7,7)"], [400, 57, 20, 6, "exists", "OA(20,3)"], [400, 76, 24, 12, "exists", "OA(20,4)"], [400, 84, 8, 20, "open", ""], [400, 95, 30, 20, "exists", "OA(20,5)"], [400, 102, 2, 34, "impossible", "Krein2; Absolute bound"], [400, 105, 20, 30, "open", "pg(7,14,2)?"], [400, 114, 8, 42, "impossible", "Krein2; Absolute bound"], [400, 114, 38, 30, "exists", "OA(20,6)"], [400, 126, 34, 42, "open", "pg(9,13,3)?"], [400, 133, 42, 45, "open", ""], [400, 133, 48, 42, "open", "OA(20,7)?"], [400, 147, 50, 56, "open", ""], [400, 152, 60, 56, "open", "OA(20,8)?"], [400, 156, 74, 52, "open", ""], [400, 161, 24, 92, "impossible", "Krein2; Absolute bound"], [400, 168, 68, 72, "open", "pg(14,11,6)?"], [400, 171, 74, 72, "open", "OA(20,9)?"], [400, 189, 88, 90, "exists", "RSHCD<sup>\u2013</sup>; 2-graph"], [400, 189, 108, 72, "impossible", "Absolute bound"], [400, 190, 90, 90, "exists", "OA(20,10)?; Wallis (AR(2,5)+S(2,2,20)); RSHCD<sup>+</sup>; 2-graph"], [400, 209, 108, 110, "exists", "OA(20,11)?; Wallis2 (AR(2,5)+S(2,2,20)); Goethals-Seidel(2,19); 2-graph"], [400, 210, 92, 130, "impossible", "Absolute bound"], [400, 210, 110, 110, "exists", "from 2-(20,2,1) with 1-factor <a href=\"srgtabrefs.html#Fickus_et_al15\">Fickus et al.</a>; 2-graph"], [400, 228, 128, 132, "open", "OA(20,12)?"], [400, 231, 134, 132, "open", ""], [400, 238, 168, 102, "impossible", "Krein1; Absolute bound"], [400, 243, 138, 162, "open", "pg(9,26,6)?"], [400, 247, 150, 156, "open", "OA(20,13)?"], [400, 252, 160, 156, "open", ""], [400, 266, 174, 182, "open", "OA(20,14)?"], [400, 266, 177, 176, "open", ""], [400, 273, 188, 182, "open", ""], [400, 285, 200, 210, "exists", "OA(20,15)?"], [400, 285, 212, 180, "impossible", "Krein1; Absolute bound"], [400, 294, 218, 210, "open", ""], [400, 297, 228, 198, "impossible", "Krein1; Absolute bound"], [400, 304, 228, 240, "exists", "OA(20,16)?"], [400, 315, 250, 240, "open", ""], [400, 323, 258, 272, "exists", "OA(20,17)?"], [400, 342, 290, 306, "exists", "OA(20,18)?"], [400, 343, 294, 294, "exists", ""], [400, 361, 324, 342, "exists", "OA(20,19)?"], [400, 378, 357, 360, "open", ""], [401, 200, 99, 100, "exists", "Paley(401); 2-graph*"], [405, 84, 3, 21, "impossible", "Krein2"], [405, 96, 18, 24, "open", "pg(8,11,2)?"], [405, 132, 63, 33, "open", ""], [405, 196, 91, 98, "open", "pg(14,13,7)?; 2-graph*?"], [405, 202, 100, 101, "open", "2-graph*?"], [405, 208, 109, 104, "open", "2-graph*?"], [405, 272, 172, 204, "open", "pg(8,33,6)?"], [405, 308, 235, 231, "open", ""], [405, 320, 256, 240, "impossible", "Krein1"], [406, 54, 27, 4, "exists", "Triangular graph T(29)"], [406, 108, 30, 28, "open", ""], [406, 165, 68, 66, "open", ""], [406, 189, 84, 91, "open", "2-graph?"], [406, 195, 96, 91, "open", "2-graph?"], [406, 210, 105, 112, "open", "2-graph?"], [406, 216, 117, 112, "open", "2-graph?"], [406, 240, 140, 144, "open", "S(2,12,232)?"], [406, 297, 216, 220, "open", ""], [406, 351, 300, 325, "exists", ""], [407, 126, 45, 36, "exists", "S(2,6,111)"], [407, 280, 189, 200, "exists", ""], [408, 110, 28, 30, "open", "pg(11,9,3)?"], [408, 176, 70, 80, "open", "pg(11,15,5)?"], [408, 231, 134, 126, "open", ""], [408, 297, 216, 216, "open", ""], [409, 204, 101, 102, "exists", "Paley(409); 2-graph*"], [411, 130, 45, 39, "open", ""], [411, 280, 188, 196, "open", "S(2,14,274)?"], [413, 112, 36, 28, "open", ""], [413, 206, 102, 103, "impossible", "Conf"], [413, 300, 215, 225, "open", "S(2,15,295)?"], [414, 63, 12, 9, "open", ""], [414, 140, 22, 60, "impossible", "Krein2; Absolute bound"], [414, 273, 192, 156, "impossible", "Krein1; Absolute bound"], [414, 350, 295, 300, "open", ""], [416, 100, 36, 20, "exists", "G<sub>2</sub>(4).2 / J<sub>2</sub>.2; subconstituent of Suz graph"], [416, 165, 64, 66, "open", "pg(15,10,6)?"], [416, 250, 150, 150, "open", ""], [416, 315, 234, 252, "exists", "pg(15,20,12)?"], [417, 208, 103, 104, "impossible", "Conf"], [418, 147, 56, 49, "open", "S(2,7,133)?"], [418, 270, 171, 180, "open", "pg(18,14,12)?"], [421, 210, 104, 105, "exists", "Paley(421); 2-graph*"], [424, 99, 26, 22, "open", ""], [424, 324, 246, 252, "open", ""], [425, 72, 27, 9, "exists", "S(2,3,51)"], [425, 160, 60, 60, "open", "pg(16,9,6)?"], [425, 212, 105, 106, "open", "2-graph*?"], [425, 264, 163, 165, "open", ""], [425, 352, 288, 308, "exists", "pg(16,21,14)?"], [428, 112, 21, 32, "open", "pg(7,15,2)?"], [428, 315, 234, 225, "open", ""], [429, 108, 27, 27, "open", "pg(12,8,3)?"], [429, 214, 106, 107, "impossible", "Conf"], [429, 320, 238, 240, "open", ""], [430, 39, 8, 3, "open", ""], [430, 135, 36, 45, "open", "pg(9,14,3)?"], [430, 165, 68, 60, "open", ""], [430, 264, 158, 168, "open", ""], [430, 294, 203, 196, "open", ""], [430, 390, 353, 360, "open", ""], [433, 216, 107, 108, "exists", "Paley(433); 2-graph*"], [435, 56, 28, 4, "exists", "Triangular graph T(30)"], [435, 154, 53, 55, "open", "pg(14,10,5)?"], [435, 182, 73, 78, "open", "pg(14,12,6)?"], [435, 252, 147, 144, "open", ""], [435, 280, 180, 180, "open", ""], [435, 378, 325, 351, "exists", "pg(14,26,13)?"], [437, 100, 15, 25, "open", ""], [437, 218, 108, 109, "impossible", "Conf"], [437, 336, 260, 252, "open", ""], [438, 92, 31, 16, "exists", "S(2,4,73)"], [438, 345, 268, 285, "exists", ""], [441, 40, 19, 2, "exists", "21<sup>2</sup>"], [441, 56, 7, 7, "exists", "Wallis (AR(7,1)+S(2,2,9)); GQ(8,6)"], [441, 60, 21, 6, "exists", "OA(21,3)"], [441, 80, 25, 12, "exists", "OA(21,4)"], [441, 88, 7, 20, "open", ""], [441, 88, 35, 13, "open", ""], [441, 100, 31, 20, "exists", "OA(21,5)"], [441, 110, 19, 30, "open", ""], [441, 120, 15, 39, "impossible", "Krein2"], [441, 120, 39, 30, "exists", "OA(21,6)"], [441, 128, 10, 48, "impossible", "Krein2; Absolute bound"], [441, 132, 33, 42, "open", ""], [441, 140, 49, 42, "exists", "OA(21,7)"], [441, 152, 43, 57, "open", "pg(8,18,3)?"], [441, 154, 49, 56, "open", ""], [441, 160, 61, 56, "open", "OA(21,8)?"], [441, 176, 25, 100, "impossible", "Krein2; Absolute bound"], [441, 176, 67, 72, "open", ""], [441, 176, 85, 60, "open", ""], [441, 180, 75, 72, "open", "OA(21,9)?"], [441, 184, 87, 69, "open", ""], [441, 190, 89, 76, "open", ""], [441, 198, 87, 90, "open", ""], [441, 200, 91, 90, "open", "OA(21,10)?"], [441, 220, 95, 124, "open", ""], [441, 220, 109, 110, "exists", "<a href=\"srgtabrefs.html#Mathon78\">Mathon</a>; OA(21,11)?; 2-graph*"], [441, 220, 123, 96, "open", ""], [441, 240, 129, 132, "open", "OA(21,12)?"], [441, 242, 133, 132, "open", ""], [441, 250, 135, 150, "open", ""], [441, 256, 140, 160, "open", ""], [441, 260, 151, 156, "open", "OA(21,13)?"], [441, 264, 147, 174, "open", ""], [441, 264, 159, 156, "open", ""], [441, 264, 187, 114, "impossible", "Krein1; Absolute bound"], [441, 280, 175, 182, "open", "OA(21,14)?"], [441, 286, 187, 182, "open", ""], [441, 288, 192, 180, "open", ""], [441, 300, 201, 210, "exists", "OA(21,15)?"], [441, 308, 217, 210, "open", ""], [441, 312, 231, 195, "impossible", "Krein1; Absolute bound"], [441, 320, 229, 240, "exists", "OA(21,16)?"], [441, 320, 238, 216, "impossible", "Krein1"], [441, 330, 249, 240, "open", ""], [441, 340, 259, 272, "exists", "OA(21,17)?"], [441, 352, 276, 300, "open", ""], [441, 352, 283, 272, "open", ""], [441, 360, 291, 306, "exists", "OA(21,18)?"], [441, 380, 325, 342, "exists", "OA(21,19)?"], [441, 384, 334, 336, "exists", ""], [441, 400, 361, 380, "exists", "OA(21,20)?"], [442, 105, 8, 30, "impossible", "Krein2"], [442, 210, 99, 100, "open", "2-graph?"], [442, 231, 120, 121, "open", "S(2,11,221)?; 2-graph?"], [442, 336, 260, 240, "impossible", "Krein1"], [445, 222, 110, 111, "open", "2-graph*?"], [448, 150, 50, 50, "open", "pg(15,9,5)?"], [448, 162, 66, 54, "open", ""], [448, 285, 176, 190, "open", "pg(15,18,10)?"], [448, 297, 196, 198, "open", ""], [449, 224, 111, 112, "exists", "Paley(449); 2-graph*"], [451, 130, 33, 39, "open", "pg(10,12,3)?"], [451, 156, 57, 52, "open", ""], [451, 294, 189, 196, "open", "S(2,14,287)?"], [451, 320, 228, 224, "open", ""], [453, 226, 112, 113, "impossible", "Conf"], [456, 35, 10, 2, "impossible", "&mu;=2 (<a href=\"srgtabrefs.html#BrouwerNeumaier88\">Brouwer-Neumaier</a>)"], [456, 65, 10, 9, "open", ""], [456, 80, 4, 16, "open", ""], [456, 91, 2, 22, "impossible", "Krein2"], [456, 104, 22, 24, "open", ""], [456, 130, 24, 42, "open", ""], [456, 140, 40, 44, "open", ""], [456, 140, 58, 36, "open", ""], [456, 175, 78, 60, "open", ""], [456, 182, 73, 72, "open", ""], [456, 195, 74, 90, "open", ""], [456, 260, 154, 140, "open", ""], [456, 273, 162, 165, "open", ""], [456, 280, 164, 184, "open", ""], [456, 315, 210, 234, "open", ""], [456, 315, 218, 216, "open", ""], [456, 325, 236, 220, "open", ""], [456, 351, 270, 270, "open", ""], [456, 364, 294, 276, "impossible", "Krein1"], [456, 375, 310, 300, "open", ""], [456, 390, 333, 336, "open", ""], [456, 420, 386, 396, "impossible", ""], [457, 228, 113, 114, "exists", "Paley(457); 2-graph*"], [459, 208, 82, 104, "open", "pg(8,25,4)?; 2-graph*?"], [459, 250, 145, 125, "open", "2-graph*?"], [460, 85, 18, 15, "open", ""], [460, 99, 18, 22, "open", "pg(9,10,2)?"], [460, 147, 42, 49, "open", ""], [460, 153, 32, 60, "impossible", "<a href=\"srgtabrefs.html#Bondarenko_et_al15\">Bondarenko et al.</a>"], [460, 204, 78, 100, "open", "2-graph?"], [460, 216, 116, 88, "open", ""], [460, 225, 120, 100, "open", "2-graph?"], [460, 234, 108, 130, "open", "pg(9,25,5)?; 2-graph?"], [460, 243, 114, 144, "open", ""], [460, 255, 150, 130, "open", "2-graph?"], [460, 306, 212, 186, "impossible", ""], [460, 312, 213, 208, "open", ""], [460, 360, 282, 280, "open", ""], [460, 374, 303, 308, "open", ""], [461, 230, 114, 115, "exists", "Paley(461); 2-graph*"], [465, 58, 29, 4, "exists", "Triangular graph T(31)"], [465, 144, 43, 45, "open", ""], [465, 192, 72, 84, "open", ""], [465, 232, 115, 116, "impossible", "Conf"], [465, 272, 163, 153, "open", ""], [465, 320, 220, 220, "open", ""], [465, 406, 351, 378, "exists", ""], [469, 234, 116, 117, "impossible", "Conf"], [470, 126, 27, 36, "open", ""], [470, 343, 252, 245, "open", ""], [473, 236, 117, 118, "impossible", "Conf"], [474, 165, 52, 60, "open", ""], [474, 308, 202, 196, "open", ""], [475, 90, 25, 15, "open", "pg(18,4,3) does not exist (Absolute bound for line graph)"], [475, 96, 32, 16, "exists", "S(2,4,76)"], [475, 378, 297, 315, "exists", "pg(18,20,15)?"], [475, 384, 308, 320, "open", ""], [476, 133, 42, 35, "open", ""], [476, 133, 60, 28, "open", ""], [476, 342, 236, 270, "open", ""], [476, 342, 243, 252, "open", ""], [477, 140, 31, 45, "open", ""], [477, 168, 57, 60, "open", ""], [477, 238, 118, 119, "open", "2-graph*?"], [477, 308, 199, 198, "open", ""], [477, 336, 240, 228, "open", ""], [481, 240, 119, 120, "open", "2-graph*?"], [483, 240, 118, 120, "open", "pg(20,11,10)?; 2-graph*?"], [483, 242, 121, 121, "open", "S(2,11,231)?; 2-graph*?"], [484, 42, 20, 2, "exists", "22<sup>2</sup>"], [484, 63, 22, 6, "exists", "OA(22,3)"], [484, 84, 26, 12, "exists", "OA(22,4)"], [484, 92, 6, 20, "open", ""], [484, 105, 14, 25, "open", ""], [484, 105, 32, 20, "exists", "OA(22,5)"], [484, 115, 18, 30, "open", ""], [484, 126, 40, 30, "open", "OA(22,6)?"], [484, 135, 18, 45, "impossible", "Krein2"], [484, 138, 32, 42, "open", ""], [484, 138, 47, 36, "exists", "S(2,6,121)"], [484, 147, 50, 42, "open", "OA(22,7)?"], [484, 161, 48, 56, "open", ""], [484, 168, 62, 56, "open", "OA(22,8)?"], [484, 184, 66, 72, "open", ""], [484, 189, 76, 72, "open", "OA(22,9)?"], [484, 207, 86, 90, "open", ""], [484, 210, 92, 90, "open", "OA(22,10)?"], [484, 230, 108, 110, "open", "RSHCD<sup>\u2013</sup>?; 2-graph?"], [484, 231, 110, 110, "open", "OA(22,11)?; RSHCD<sup>+</sup>?; 2-graph?"], [484, 252, 130, 132, "open", "OA(22,12)?; 2-graph?"], [484, 253, 132, 132, "open", "2-graph?"], [484, 273, 152, 156, "open", "OA(22,13)?"], [484, 276, 158, 156, "open", ""], [484, 294, 176, 182, "open", "OA(22,14)?"], [484, 299, 186, 182, "open", ""], [484, 315, 202, 210, "open", "OA(22,15)?"], [484, 322, 216, 210, "open", ""], [484, 336, 230, 240, "open", "OA(22,16)?"], [484, 345, 242, 255, "exists", ""], [484, 345, 248, 240, "open", ""], [484, 348, 257, 232, "impossible", "Krein1"], [484, 357, 260, 272, "open", "OA(22,17)?"], [484, 368, 282, 272, "open", ""], [484, 378, 292, 306, "exists", "OA(22,18)?"], [484, 378, 297, 288, "open", ""], [484, 391, 318, 306, "open", ""], [484, 399, 326, 342, "exists", "OA(22,19)?"], [484, 420, 362, 380, "exists", "OA(22,20)?"], [484, 441, 400, 420, "exists", "OA(22,21)?"], [485, 242, 120, 121, "open", "2-graph*?"], [486, 97, 16, 20, "open", ""], [486, 100, 22, 20, "open", ""], [486, 165, 36, 66, "impossible", "<a href=\"srgtabrefs.html#Makhnev02\">Makhnev</a>"], [486, 194, 67, 84, "open", ""], [486, 210, 99, 84, "open", ""], [486, 275, 148, 165, "open", ""], [486, 291, 180, 165, "open", ""], [486, 320, 220, 192, "impossible", ""], [486, 385, 304, 308, "open", ""], [486, 388, 310, 308, "open", ""], [489, 244, 121, 122, "impossible", "Conf"], [490, 144, 28, 48, "open", "pg(6,23,2)?"], [490, 165, 56, 55, "open", ""], [490, 192, 92, 64, "open", ""], [490, 297, 168, 198, "open", "pg(9,32,6)?"], [490, 324, 213, 216, "open", ""], [490, 345, 248, 230, "open", ""], [493, 246, 122, 123, "open", "2-graph*?"], [494, 85, 12, 15, "open", ""], [494, 408, 337, 336, "open", ""], [495, 38, 1, 3, "open", ""], [495, 78, 29, 9, "exists", "S(2,3,55)"], [495, 104, 28, 20, "open", ""], [495, 190, 53, 85, "open", ""], [495, 190, 85, 65, "open", ""], [495, 208, 86, 88, "open", ""], [495, 208, 130, 56, "impossible", "Absolute bound"], [495, 234, 93, 126, "open", ""], [495, 238, 109, 119, "exists", "dist. 2 or 4 in J(12,4) - Mathon; O<sup>\u2013</sup>(10,2) polar graph; pg(14,16,7)?; 2-graph*"], [495, 256, 136, 128, "exists", "2-graph*"], [495, 260, 151, 120, "open", ""], [495, 286, 133, 209, "impossible", "Absolute bound"], [495, 286, 165, 165, "open", ""], [495, 304, 178, 200, "open", ""], [495, 304, 198, 168, "open", ""], [495, 390, 305, 315, "open", ""], [495, 416, 346, 368, "exists", ""], [495, 456, 420, 420, "open", ""], [496, 54, 4, 6, "open", ""], [496, 60, 30, 4, "exists", "Triangular graph T(32)"], [496, 110, 18, 26, "open", ""], [496, 135, 38, 36, "open", "pg(15,8,4)?"], [496, 165, 80, 42, "impossible", "Absolute bound"], [496, 198, 80, 78, "open", ""], [496, 231, 102, 112, "open", "2-graph?"], [496, 240, 120, 112, "exists", "Wallis (AR(2,4)+S(2,3,31)); 2-graph"], [496, 255, 126, 136, "exists", "NO<sup>+</sup>(10,2); Goethals-Seidel(3,15); pg(15,16,8)?; 2-graph"], [496, 264, 144, 136, "open", "2-graph?"], [496, 297, 176, 180, "open", ""], [496, 330, 206, 246, "impossible", "Absolute bound"], [496, 360, 260, 264, "open", ""], [496, 385, 300, 294, "open", ""], [496, 435, 378, 406, "exists", "pg(15,28,14)?"], [496, 441, 392, 392, "open", ""], [497, 186, 55, 78, "open", ""], [497, 240, 127, 105, "open", ""], [497, 248, 123, 124, "impossible", "Conf"], [497, 256, 120, 144, "open", ""], [497, 310, 201, 180, "open", ""], [498, 161, 64, 46, "open", ""], [498, 336, 220, 240, "open", ""], [501, 250, 124, 125, "impossible", "Conf"], [505, 84, 3, 16, "open", ""], [505, 120, 39, 25, "exists", "S(2,5,101)"], [505, 180, 53, 70, "open", ""], [505, 224, 108, 92, "open", ""], [505, 252, 125, 126, "open", "2-graph*?"], [505, 280, 147, 165, "open", ""], [505, 324, 213, 198, "open", ""], [505, 384, 288, 304, "exists", ""], [505, 420, 351, 340, "open", ""], [506, 100, 18, 20, "open", "pg(10,9,2)?"], [506, 405, 324, 324, "open", ""], [507, 44, 1, 4, "open", ""], [507, 46, 5, 4, "open", ""], [507, 138, 49, 33, "open", ""], [507, 154, 41, 49, "open", ""], [507, 176, 70, 56, "open", ""], [507, 184, 36, 84, "impossible", "Krein2; Absolute bound"], [507, 184, 71, 64, "open", "S(2,8,169)?"], [507, 198, 57, 90, "open", ""], [507, 230, 121, 90, "open", ""], [507, 240, 106, 120, "open", "pg(12,19,6)?; 2-graph*?"], [507, 266, 145, 133, "open", "2-graph*?"], [507, 276, 135, 168, "open", ""], [507, 308, 199, 168, "open", ""], [507, 322, 201, 210, "open", ""], [507, 322, 221, 175, "impossible", "Krein1; Absolute bound"], [507, 330, 209, 225, "open", ""], [507, 352, 246, 240, "open", ""], [507, 368, 262, 280, "open", ""], [507, 460, 417, 420, "open", ""], [507, 462, 421, 420, "open", ""], [508, 234, 100, 114, "open", "2-graph?"], [508, 247, 126, 114, "open", "2-graph?"], [508, 260, 126, 140, "open", "2-graph?"], [508, 273, 152, 140, "open", "2-graph?"], [509, 254, 126, 127, "exists", "Paley(509); 2-graph*"], [511, 68, 15, 8, "open", ""], [511, 78, 5, 13, "open", ""], [511, 432, 366, 360, "open", ""], [511, 442, 381, 390, "open", ""], [512, 70, 6, 10, "exists", "GQ(7,9); from a hyperoval: projective 8-ary [10,3] code with weights 8, 10"], [512, 73, 12, 10, "exists", "<a href=\"srgtabrefs.html#FiedlerKlin98\">Fiedler-Klin</a>; <a href=\"srgtabrefs.html#Kohnert07\">Kohnert</a>: projective binary [73,9] code with weights 32, 40"], [512, 126, 70, 18, "impossible", "Absolute bound"], [512, 133, 24, 38, "exists", "<a href=\"srgtabrefs.html#Godsil92\">Godsil</a>(q=8,r=3); pg(7,18,2)?"], [512, 189, 96, 54, "impossible", "Absolute bound"], [512, 196, 60, 84, "exists", "pg(7,27,3); projective 8-ary [28,3] code with weights 24, 28"], [512, 219, 106, 84, "exists", "<a href=\"srgtabrefs.html#FiedlerKlin98\">Fiedler-Klin</a>; projective binary [219,9] code with weights 96, 112"], [512, 292, 156, 180, "exists", ""], [512, 315, 202, 180, "exists", ""], [512, 322, 186, 230, "impossible", "Absolute bound"], [512, 378, 282, 270, "exists", ""], [512, 385, 276, 330, "impossible", "Absolute bound"], [512, 438, 374, 378, "exists", ""], [512, 441, 380, 378, "exists", ""], [513, 120, 21, 30, "open", "pg(8,14,2)?"], [513, 256, 127, 128, "impossible", "Conf"], [513, 392, 301, 294, "open", ""], [517, 258, 128, 129, "impossible", "Conf"], [518, 132, 26, 36, "open", ""], [518, 385, 288, 280, "open", ""], [521, 260, 129, 130, "exists", "Paley(521); 2-graph*"], [525, 108, 3, 27, "impossible", "Krein2"], [525, 128, 28, 32, "open", ""], [525, 144, 48, 36, "exists", "S(2,6,126); NU(3,5)"], [525, 262, 130, 131, "impossible", "Conf"], [525, 380, 271, 285, "exists", "pg(20,18,15)?"], [525, 396, 299, 297, "open", ""], [525, 416, 334, 312, "impossible", "Krein1"], [527, 256, 120, 128, "exists", "pg(16,15,8)?; 2-graph*"], [527, 270, 141, 135, "exists", "O<sup>+</sup>(10,2); from ETF <a href=\"srgtabrefs.html#Fickus_et_al16\">Fickus et al.</a>; 2-graph*"], [528, 62, 31, 4, "exists", "Triangular graph T(33)"], [528, 102, 26, 18, "open", "pg(17,5,3)?"], [528, 186, 64, 66, "open", ""], [528, 187, 66, 66, "open", ""], [528, 248, 112, 120, "open", "2-graph?"], [528, 255, 126, 120, "exists", "NO<sup>\u2013</sup>(10,2); <a href=\"srgtabrefs.html#Muzychuk07\">Muzychuk S2</a> (r=4); 2-graph"], [528, 272, 136, 144, "exists", "2-graph"], [528, 279, 150, 144, "open", "2-graph?"], [528, 340, 218, 220, "open", ""], [528, 341, 220, 220, "open", ""], [528, 425, 340, 350, "open", ""], [528, 465, 406, 435, "exists", ""], [529, 44, 21, 2, "exists", "23<sup>2</sup>"], [529, 66, 23, 6, "exists", "OA(23,3)"], [529, 88, 27, 12, "exists", "OA(23,4)"], [529, 96, 5, 20, "open", ""], [529, 110, 33, 20, "exists", "OA(23,5)"], [529, 120, 17, 30, "open", ""], [529, 132, 41, 30, "exists", "OA(23,6)"], [529, 144, 31, 42, "open", ""], [529, 154, 51, 42, "exists", "OA(23,7)"], [529, 168, 47, 56, "open", ""], [529, 176, 63, 56, "exists", "OA(23,8)"], [529, 192, 65, 72, "open", ""], [529, 198, 77, 72, "exists", "OA(23,9)"], [529, 208, 27, 117, "impossible", "Krein2; Absolute bound"], [529, 216, 85, 90, "open", ""], [529, 220, 93, 90, "exists", "OA(23,10)"], [529, 240, 107, 110, "open", ""], [529, 242, 111, 110, "exists", "OA(23,11); <a href=\"srgtabrefs.html#Pasechnik92\">Pasechnik(23)</a>"], [529, 264, 131, 132, "exists", "Paley(529); OA(23,12); 2-graph*"], [529, 286, 153, 156, "exists", "OA(23,13)"], [529, 288, 157, 156, "open", ""], [529, 308, 177, 182, "exists", "OA(23,14)"], [529, 312, 185, 182, "open", ""], [529, 320, 228, 140, "impossible", "Krein1; Absolute bound"], [529, 330, 203, 210, "exists", "OA(23,15)"], [529, 336, 215, 210, "open", ""], [529, 352, 231, 240, "exists", "OA(23,16)"], [529, 360, 247, 240, "open", ""], [529, 374, 261, 272, "exists", "OA(23,17)"], [529, 384, 281, 272, "open", ""], [529, 396, 293, 306, "exists", "OA(23,18)"], [529, 408, 317, 306, "open", ""], [529, 418, 327, 342, "exists", "OA(23,19)"], [529, 432, 355, 342, "open", ""], [529, 440, 363, 380, "exists", "OA(23,20)"], [529, 462, 401, 420, "exists", "OA(23,21)"], [529, 484, 441, 462, "exists", "OA(23,22)"], [530, 253, 120, 121, "exists", "switch OA(23,12)+*; switch skewhad<sup>2</sup>+*; 2-graph"], [530, 276, 143, 144, "exists", "S(2,12,265)?; 2-graph"], [532, 81, 30, 9, "exists", "S(2,3,57)"], [532, 126, 35, 28, "open", "pg(18,6,4)?"], [532, 156, 30, 52, "open", "pg(6,25,2)?"], [532, 243, 114, 108, "open", ""], [532, 288, 152, 160, "open", "pg(18,15,10)?"], [532, 375, 270, 250, "open", ""], [532, 405, 306, 315, "open", ""], [532, 450, 377, 400, "exists", "pg(18,24,16)?"], [533, 114, 25, 24, "open", ""], [533, 132, 31, 33, "open", "pg(12,10,3)?"], [533, 154, 45, 44, "open", ""], [533, 266, 132, 133, "open", "2-graph*?"], [533, 378, 267, 270, "open", ""], [533, 400, 300, 300, "open", ""], [533, 418, 327, 330, "open", ""], [536, 130, 48, 26, "open", ""], [536, 405, 300, 324, "open", ""], [537, 268, 133, 134, "impossible", "Conf"], [539, 234, 81, 117, "open", "pg(6,38,3)?; 2-graph*?"], [539, 250, 105, 125, "exists", "pg(10,24,5)?; 2-graph*"], [539, 288, 162, 144, "exists", "2-graph*"], [539, 304, 186, 152, "open", "2-graph*?"], [540, 49, 8, 4, "open", ""], [540, 55, 10, 5, "open", ""], [540, 77, 4, 12, "open", ""], [540, 77, 22, 9, "open", ""], [540, 84, 18, 12, "open", "pg(14,5,2)?"], [540, 98, 16, 18, "open", ""], [540, 99, 18, 18, "open", "pg(11,8,2)?"], [540, 147, 18, 48, "impossible", "Krein2"], [540, 147, 42, 39, "open", ""], [540, 147, 66, 30, "open", ""], [540, 154, 28, 50, "open", ""], [540, 154, 43, 44, "open", "pg(14,10,4)?"], [540, 154, 48, 42, "open", ""], [540, 154, 88, 26, "impossible", "Absolute bound"], [540, 175, 70, 50, "open", ""], [540, 176, 76, 48, "open", ""], [540, 187, 58, 68, "exists", "O<sup>\u2212</sup>(6,2) <a href=\"srgtabrefs.html#Crnkovic_et_al16\">Crnkovic_et_al</a>; pg(11,16,4)?"], [540, 220, 103, 80, "open", ""], [540, 224, 88, 96, "exists", "NU(4,3); pg(14,15,6)?"], [540, 231, 78, 114, "open", "2-graph?"], [540, 245, 100, 120, "exists", "2-graph"], [540, 264, 138, 120, "exists", "Wallis (AR(2,3)+S(2,5,45)); 2-graph"], [540, 266, 148, 114, "open", "2-graph?"], [540, 273, 120, 156, "open", "2-graph?"], [540, 275, 130, 150, "exists", "Goethals-Seidel(5,11); pg(11,24,6)?; 2-graph"], [540, 294, 168, 150, "exists", "from 2-(45,5,1) with 1-factor <a href=\"srgtabrefs.html#Fickus_et_al15\">Fickus et al.</a>; 2-graph"], [540, 308, 190, 156, "open", "2-graph?"], [540, 315, 186, 180, "exists", ""], [540, 319, 178, 203, "open", "pg(11,28,7)?"], [540, 352, 232, 224, "exists", ""], [540, 363, 234, 264, "open", "pg(11,32,8)?"], [540, 364, 238, 260, "open", "pg(14,25,10)?"], [540, 385, 256, 320, "impossible", "Absolute bound"], [540, 385, 272, 280, "open", ""], [540, 385, 274, 275, "open", ""], [540, 385, 280, 260, "open", ""], [540, 392, 274, 312, "open", ""], [540, 392, 283, 288, "open", ""], [540, 392, 292, 264, "impossible", "Krein1"], [540, 440, 358, 360, "open", ""], [540, 441, 360, 360, "open", ""], [540, 455, 382, 390, "open", ""], [540, 462, 393, 408, "open", ""], [540, 462, 396, 390, "open", ""], [540, 484, 433, 440, "open", ""], [540, 490, 444, 450, "open", ""], [541, 270, 134, 135, "exists", "Paley(541); 2-graph*"], [544, 180, 58, 60, "open", "pg(15,11,5)?"], [544, 363, 242, 242, "open", ""], [545, 272, 135, 136, "open", "2-graph*?"], [546, 125, 40, 25, "exists", "S(2,5,105)"], [546, 225, 96, 90, "open", ""], [546, 320, 184, 192, "open", "pg(20,15,12)?"], [546, 420, 319, 336, "exists", "pg(20,20,16)?"], [549, 274, 136, 137, "open", "2-graph*?"], [550, 63, 8, 7, "open", ""], [550, 117, 20, 26, "open", "pg(9,12,2)?"], [550, 162, 75, 36, "open", ""], [550, 192, 72, 64, "open", "S(2,8,176)?"], [550, 225, 80, 100, "open", "pg(9,24,4)?"], [550, 324, 198, 180, "open", ""], [550, 357, 228, 238, "open", "pg(21,16,14)?"], [550, 387, 260, 301, "open", "pg(9,42,7)?"], [550, 432, 340, 336, "open", ""], [550, 486, 429, 432, "open", ""], [552, 76, 0, 12, "open", ""], [552, 209, 46, 99, "impossible", "Krein2; Absolute bound"], [552, 232, 66, 120, "impossible", "Krein2; Absolute bound"], [552, 319, 206, 154, "impossible", "Krein1; Absolute bound"], [552, 342, 231, 180, "impossible", "Krein1; Absolute bound"], [552, 475, 410, 400, "open", ""], [553, 72, 11, 9, "open", ""], [553, 276, 137, 138, "impossible", "Conf"], [553, 480, 416, 420, "open", ""], [557, 278, 138, 139, "exists", "Paley(557); 2-graph*"], [559, 264, 116, 132, "open", "pg(12,21,6)?; 2-graph*?"], [559, 294, 161, 147, "open", "2-graph*?"], [560, 129, 28, 30, "open", ""], [560, 130, 30, 30, "open", "pg(13,9,3)?"], [560, 208, 72, 80, "exists", "Sz(8) (rk 7); pg(13,15,5)?"], [560, 234, 108, 90, "open", ""], [560, 247, 102, 114, "open", "pg(13,18,6)?"], [560, 258, 110, 126, "open", "2-graph?"], [560, 273, 140, 126, "open", "2-graph?"], [560, 286, 138, 154, "open", "pg(13,21,7)?; 2-graph?"], [560, 301, 168, 154, "open", "2-graph?"], [560, 312, 178, 168, "open", ""], [560, 325, 180, 200, "open", "pg(13,24,8)?"], [560, 351, 222, 216, "exists", ""], [560, 429, 328, 330, "open", ""], [560, 430, 330, 330, "open", ""], [561, 60, 9, 6, "open", ""], [561, 64, 32, 4, "exists", "Triangular graph T(34)"], [561, 140, 31, 36, "open", ""], [561, 176, 55, 55, "open", "pg(16,10,5)?"], [561, 240, 99, 105, "open", "pg(16,14,7)?"], [561, 280, 139, 140, "impossible", "Conf"], [561, 320, 184, 180, "open", ""], [561, 384, 262, 264, "open", ""], [561, 420, 315, 312, "open", ""], [561, 496, 435, 465, "exists", "pg(16,30,15)"], [561, 500, 445, 450, "open", ""], [565, 240, 104, 100, "open", "S(2,10,226)?"], [565, 282, 140, 141, "open", "2-graph*?"], [565, 324, 183, 189, "open", ""], [567, 256, 100, 128, "open", "pg(8,31,4)?; 2-graph*?"], [567, 310, 181, 155, "open", "2-graph*?"], [568, 217, 66, 93, "open", "pg(7,30,3)?"], [568, 252, 96, 124, "open", "2-graph?"], [568, 279, 150, 124, "open", "2-graph?"], [568, 288, 132, 160, "open", "2-graph?"], [568, 315, 186, 160, "open", "2-graph?"], [568, 350, 225, 200, "open", ""], [569, 284, 141, 142, "exists", "Paley(569); 2-graph*"], [573, 286, 142, 143, "impossible", "Conf"], [575, 112, 45, 16, "open", ""], [575, 126, 29, 27, "open", "pg(14,8,3)?"], [575, 232, 60, 116, "impossible", "Krein2; Absolute bound"], [575, 286, 141, 143, "exists", "pg(22,12,11)?; 2-graph*"], [575, 288, 144, 144, "exists", "S(2,12,276)?; 2-graph*"], [575, 342, 225, 171, "impossible", "Krein1; Absolute bound"], [575, 448, 348, 352, "open", ""], [575, 462, 365, 396, "open", "pg(14,32,12)?"], [576, 46, 22, 2, "exists", "24<sup>2</sup>"], [576, 69, 24, 6, "exists", "OA(24,3)"], [576, 92, 28, 12, "exists", "OA(24,4)"], [576, 100, 4, 20, "open", ""], [576, 115, 18, 24, "open", ""], [576, 115, 34, 20, "exists", "OA(24,5)"], [576, 120, 28, 24, "open", "pg(15,7,3)?"], [576, 125, 16, 30, "open", ""], [576, 138, 42, 30, "exists", "OA(24,6)"], [576, 150, 30, 42, "open", ""], [576, 161, 52, 42, "exists", "OA(24,7)"], [576, 175, 46, 56, "open", ""], [576, 184, 64, 56, "exists", "OA(24,8)"], [576, 200, 64, 72, "open", ""], [576, 207, 78, 72, "exists", "OA(24,9)"], [576, 225, 28, 126, "impossible", "Krein2; Absolute bound"], [576, 225, 84, 90, "open", "pg(15,14,6)?"], [576, 230, 58, 114, "impossible", "Krein2; Absolute bound"], [576, 230, 94, 90, "open", "OA(24,10)?"], [576, 245, 112, 98, "open", ""], [576, 250, 106, 110, "open", ""], [576, 253, 112, 110, "open", "OA(24,11)?"], [576, 275, 130, 132, "exists", "RSHCD<sup>\u2013</sup>; 2-graph"], [576, 276, 132, 132, "exists", "OA(24,12)?; Wallis (AR(2,6)+S(2,2,24)); RSHCD<sup>+</sup>; 2-graph"], [576, 285, 168, 114, "impossible", "Absolute bound"], [576, 290, 118, 174, "impossible", "Absolute bound"], [576, 299, 154, 156, "exists", "OA(24,13)?; Wallis2 (AR(2,6)+S(2,2,24)); Goethals-Seidel(2,23); 2-graph"], [576, 300, 156, 156, "exists", "from 2-(24,2,1) with 1-factor <a href=\"srgtabrefs.html#Fickus_et_al15\">Fickus et al.</a>; 2-graph"], [576, 322, 178, 182, "open", "OA(24,14)?"], [576, 325, 184, 182, "open", ""], [576, 330, 182, 198, "open", "pg(15,21,9)?"], [576, 345, 204, 210, "open", "OA(24,15)?"], [576, 345, 228, 174, "impossible", "Krein1; Absolute bound"], [576, 350, 214, 210, "open", ""], [576, 350, 250, 154, "impossible", "Krein1; Absolute bound"], [576, 368, 232, 240, "exists", "OA(24,16)?"], [576, 375, 246, 240, "open", ""], [576, 391, 262, 272, "exists", "OA(24,17)?"], [576, 400, 280, 272, "open", ""], [576, 414, 294, 306, "exists", "OA(24,18)?"], [576, 425, 316, 306, "open", ""], [576, 437, 328, 342, "exists", "OA(24,19)?"], [576, 450, 354, 342, "open", ""], [576, 455, 358, 364, "open", ""], [576, 460, 364, 380, "exists", "OA(24,20)?"], [576, 460, 368, 364, "open", ""], [576, 475, 394, 380, "open", ""], [576, 483, 402, 420, "exists", "OA(24,21)?"], [576, 506, 442, 462, "exists", "OA(24,22)?"], [576, 529, 484, 506, "exists", "OA(24,23)?"], [577, 288, 143, 144, "exists", "Paley(577); 2-graph*"], [581, 290, 144, 145, "impossible", "Conf"], [583, 96, 14, 16, "open", ""], [583, 486, 405, 405, "open", ""], [584, 154, 36, 42, "open", ""], [584, 429, 316, 312, "open", ""], [585, 72, 7, 9, "exists", "\tO(5,8) Sp(4,8); GQ(8,8)"], [585, 200, 55, 75, "open", "pg(8,24,3)?"], [585, 224, 88, 84, "open", ""], [585, 292, 145, 146, "open", "2-graph*?"], [585, 360, 219, 225, "open", "S(2,15,351)?"], [585, 384, 258, 240, "open", ""], [585, 512, 448, 448, "exists", ""], [589, 294, 146, 147, "impossible", "Conf"], [592, 216, 90, 72, "open", ""], [592, 375, 230, 250, "open", "pg(15,24,10)?"], [593, 296, 147, 148, "exists", "Paley(593); 2-graph*"], [595, 66, 33, 4, "exists", "Triangular graph T(35)"], [595, 90, 5, 15, "open", ""], [595, 108, 35, 16, "exists", "S(2,4,85)"], [595, 114, 33, 19, "open", ""], [595, 126, 21, 28, "open", "pg(9,13,2)?"], [595, 132, 33, 28, "open", ""], [595, 144, 18, 40, "open", ""], [595, 198, 81, 58, "open", ""], [595, 216, 68, 84, "open", ""], [595, 378, 245, 231, "open", ""], [595, 396, 255, 280, "open", ""], [595, 450, 345, 325, "open", ""], [595, 462, 357, 364, "open", ""], [595, 468, 369, 364, "open", ""], [595, 480, 384, 400, "open", "S(2,20,476)?"], [595, 486, 393, 414, "exists", ""], [595, 504, 428, 420, "open", ""], [595, 528, 465, 496, "exists", ""], [597, 298, 148, 149, "impossible", "Conf"], [598, 192, 56, 64, "open", "pg(12,15,4)?"], [598, 405, 276, 270, "open", ""], [601, 300, 149, 150, "exists", "Paley(601); 2-graph*"], [605, 156, 43, 39, "open", ""], [605, 280, 117, 140, "open", "pg(10,27,5)?; 2-graph*?"], [605, 302, 150, 151, "open", "2-graph*?"], [605, 324, 183, 162, "open", "2-graph*?"], [605, 448, 330, 336, "open", ""], [606, 105, 4, 21, "open", ""], [606, 275, 112, 135, "open", "2-graph?"], [606, 297, 156, 135, "open", "2-graph?"], [606, 308, 145, 168, "open", "pg(11,27,6)?; 2-graph?"], [606, 330, 189, 168, "open", "2-graph?"], [606, 500, 415, 400, "open", ""], [609, 224, 91, 77, "open", ""], [609, 228, 117, 66, "impossible", "Absolute bound"], [609, 304, 151, 152, "impossible", "Conf"], [609, 380, 217, 270, "impossible", "Absolute bound"], [609, 384, 236, 252, "open", ""], [610, 87, 32, 9, "exists", "S(2,3,61)"], [610, 522, 443, 468, "exists", ""], [611, 250, 105, 100, "open", "S(2,10,235)?"], [611, 360, 209, 216, "open", ""], [612, 156, 15, 48, "impossible", "Krein2"], [612, 156, 50, 36, "exists", "S(2,6,136)"], [612, 195, 66, 60, "open", ""], [612, 416, 280, 288, "open", ""], [612, 455, 334, 350, "exists", ""], [612, 455, 346, 315, "impossible", "Krein1"], [613, 306, 152, 153, "exists", "Paley(613); 2-graph*"], [615, 294, 133, 147, "open", "pg(14,20,7)?; 2-graph*?"], [615, 320, 172, 160, "open", "2-graph*?"], [616, 75, 2, 10, "open", ""], [616, 120, 20, 24, "open", "pg(10,11,2)?"], [616, 135, 6, 36, "impossible", "Krein2"], [616, 164, 42, 44, "open", ""], [616, 165, 44, 44, "open", ""], [616, 205, 90, 57, "open", ""], [616, 240, 89, 96, "open", "pg(15,15,6)?"], [616, 270, 108, 126, "open", ""], [616, 287, 126, 140, "open", "2-graph?"], [616, 300, 152, 140, "open", "2-graph?"], [616, 315, 154, 168, "open", "2-graph?"], [616, 328, 180, 168, "open", "2-graph?"], [616, 345, 200, 184, "open", ""], [616, 375, 230, 225, "open", ""], [616, 410, 261, 296, "open", ""], [616, 450, 328, 330, "open", ""], [616, 451, 330, 330, "open", ""], [616, 480, 380, 352, "impossible", "Krein1"], [616, 495, 398, 396, "open", ""], [616, 540, 474, 468, "open", ""], [617, 308, 153, 154, "exists", "Paley(617); 2-graph*"], [621, 60, 3, 6, "open", ""], [621, 130, 31, 26, "open", ""], [621, 144, 24, 36, "open", "pg(8,17,2)?"], [621, 210, 45, 84, "impossible", "Krein2"], [621, 220, 79, 77, "open", ""], [621, 300, 123, 165, "open", ""], [621, 310, 154, 155, "impossible", "Conf"], [621, 320, 184, 144, "open", ""], [621, 400, 256, 260, "open", ""], [621, 410, 283, 246, "impossible", "Krein1"], [621, 476, 367, 357, "open", ""], [621, 490, 385, 392, "open", ""], [621, 560, 505, 504, "open", ""], [624, 98, 22, 14, "open", ""], [624, 161, 28, 46, "open", "pg(7,22,2)?"], [624, 280, 132, 120, "open", ""], [624, 343, 182, 196, "open", ""], [624, 462, 346, 330, "open", ""], [624, 525, 440, 450, "open", ""], [625, 48, 23, 2, "exists", "25<sup>2</sup>; from a partial spread: projective 5-ary [12,4] code with weights 5, 10"], [625, 72, 25, 6, "exists", "OA(25,3); from a partial spread: projective 5-ary [18,4] code with weights 10, 15"], [625, 96, 29, 12, "exists", "OA(25,4); <a href=\"srgtabrefs.html#Brouwer85\">Brouwer</a>(q=5,d=2,e=2,+); from a partial spread: projective 5-ary [24,4] code with weights 15, 20"], [625, 104, 3, 20, "exists", "VO<sup>\u2013</sup>(4,5) affine polar graph; projective 5-ary [26,4] code with weights 20, 25"], [625, 112, 15, 21, "open", ""], [625, 120, 35, 20, "exists", "OA(25,5); Wallis (AR(5,1)+S(2,5,25)); from a partial spread: projective 5-ary [30,4] code with weights 20, 25"], [625, 130, 15, 30, "open", ""], [625, 144, 43, 30, "exists", "OA(25,6); Bilin<sub>2x2</sub>(5); Wallis2 (AR(5,1)+S(2,5,25)); VO<sup>+</sup>(4,5) affine polar graph; from a partial spread: projective 5-ary [36,4] code with weights 25, 30"], [625, 156, 29, 42, "exists", "<a href=\"srgtabrefs.html#Dissett00\">Dissett</a>: <a href=\"srgtabrefs.html#Bouyukliev_et_al06\">Bouyukliev-Fack-Willems-Winne</a>: projective 5-ary [39,4] code with weights 30, 35"], [625, 168, 53, 42, "exists", "OA(25,7); from a partial spread: projective 5-ary [42,4] code with weights 30, 35"], [625, 182, 45, 56, "open", ""], [625, 192, 20, 76, "impossible", "Krein2; Absolute bound"], [625, 192, 65, 56, "exists", "OA(25,8); from a partial spread: projective 5-ary [48,4] code with weights 35, 40"], [625, 208, 63, 72, "exists", "vanLint-Schrijver(1); CK - CY1: projective 5-ary [52,4] code with weights 40, 45"], [625, 216, 79, 72, "exists", "OA(25,9); from a partial spread: projective 5-ary [54,4] code with weights 40, 45"], [625, 234, 83, 90, "open", ""], [625, 240, 95, 90, "exists", "OA(25,10); VNO<sup>+</sup>(4,5) affine polar graph; from a partial spread: projective 5-ary [60,4] code with weights 45, 50"], [625, 246, 119, 82, "open", ""], [625, 260, 105, 110, "exists", "VNO<sup>\u2013</sup>(4,5) affine polar graph; projective 5-ary [65,4] code with weights 50, 55"], [625, 264, 113, 110, "exists", "OA(25,11); from a partial spread: projective 5-ary [66,4] code with weights 50, 55"], [625, 286, 129, 132, "open", ""], [625, 288, 133, 132, "exists", "OA(25,12); from a partial spread: projective 5-ary [72,4] code with weights 55, 60"], [625, 312, 125, 186, "impossible", "Absolute bound"], [625, 312, 155, 156, "exists", "Paley(625); OA(25,13); 2-graph*"], [625, 312, 185, 126, "impossible", "Absolute bound"], [625, 336, 179, 182, "exists", "OA(25,14)"], [625, 338, 183, 182, "open", ""], [625, 360, 205, 210, "exists", "OA(25,15)"], [625, 364, 213, 210, "exists", ""], [625, 378, 213, 252, "open", "pg(9,41,6)?"], [625, 384, 233, 240, "exists", "OA(25,16)"], [625, 390, 245, 240, "open", ""], [625, 408, 263, 272, "exists", "OA(25,17)"], [625, 416, 279, 272, "exists", "vanLint-Schrijver(2)"], [625, 432, 295, 306, "exists", "OA(25,18)"], [625, 432, 315, 261, "impossible", "Krein1; Absolute bound"], [625, 442, 315, 306, "open", ""], [625, 456, 329, 342, "exists", "OA(25,19)"], [625, 468, 353, 342, "exists", ""], [625, 480, 365, 380, "exists", "OA(25,20)"], [625, 494, 393, 380, "open", ""], [625, 504, 403, 420, "exists", "OA(25,21)"], [625, 512, 420, 416, "open", ""], [625, 520, 435, 420, "exists", ""], [625, 528, 443, 462, "exists", "OA(25,22)"], [625, 552, 485, 506, "exists", "OA(25,23)"], [625, 576, 529, 552, "exists", "OA(25,24)"], [626, 300, 143, 144, "exists", "switch OA(25,13)+*; 2-graph"], [626, 325, 168, 169, "exists", "S(2,13,313)?; 2-graph"], [629, 314, 156, 157, "open", "2-graph*?"], [630, 37, 4, 2, "open", ""], [630, 68, 1, 8, "open", ""], [630, 68, 34, 4, "exists", "Triangular graph T(36)"], [630, 85, 20, 10, "exists", "pg(17,4,2) - <a href=\"srgtabrefs.html#Haemers81\">Haemers</a>"], [630, 111, 12, 21, "open", ""], [630, 119, 28, 21, "open", "pg(17,6,3)?"], [630, 185, 40, 60, "open", ""], [630, 204, 78, 60, "open", ""], [630, 272, 124, 112, "open", ""], [630, 357, 196, 210, "open", "pg(17,20,10)?"], [630, 425, 280, 300, "open", "pg(17,24,12)?"], [630, 444, 318, 300, "open", ""], [630, 510, 411, 420, "open", ""], [630, 518, 427, 420, "open", ""], [630, 544, 468, 480, "exists", ""], [630, 561, 496, 528, "exists", "pg(17,32,16)?"], [630, 561, 500, 495, "open", ""], [630, 592, 556, 560, "open", ""], [633, 316, 157, 158, "impossible", "Conf"], [636, 250, 95, 100, "open", ""], [636, 385, 234, 231, "open", ""], [637, 60, 11, 5, "open", ""], [637, 96, 5, 16, "open", ""], [637, 176, 60, 44, "open", ""], [637, 186, 35, 62, "open", "pg(6,30,2)?"], [637, 252, 91, 105, "open", "pg(12,20,5)?"], [637, 270, 147, 90, "impossible", "Absolute bound"], [637, 318, 158, 159, "open", "2-graph*?"], [637, 366, 185, 244, "impossible", "Absolute bound"], [637, 384, 236, 224, "open", ""], [637, 450, 325, 300, "open", ""], [637, 460, 327, 345, "open", ""], [637, 540, 459, 450, "open", ""], [637, 576, 520, 528, "open", ""], [638, 49, 0, 4, "open", ""], [638, 112, 36, 16, "exists", "S(2,4,88)"], [638, 189, 60, 54, "open", "pg(21,8,6)?"], [638, 273, 112, 120, "open", ""], [638, 364, 210, 204, "open", ""], [638, 448, 312, 320, "open", ""], [638, 525, 428, 450, "exists", "pg(21,24,18)?"], [638, 588, 542, 540, "open", ""], [639, 288, 112, 144, "open", "pg(8,35,4)?; 2-graph*?"], [639, 350, 205, 175, "open", "2-graph*?"], [640, 71, 6, 8, "exists", "Haemers(8); <a href=\"srgtabrefs.html#Muzychuk07\">Muzychuk S6</a> (n=8,d=2)"], [640, 72, 8, 8, "exists", "Wallis (AR(8,1)+S(2,2,10)); GQ(9,7)"], [640, 153, 44, 34, "open", ""], [640, 198, 50, 66, "open", "pg(9,21,3)?"], [640, 210, 66, 70, "open", "pg(15,13,5)?"], [640, 213, 72, 70, "open", ""], [640, 243, 66, 108, "open", "q222=0"], [640, 284, 108, 140, "open", "2-graph?"], [640, 315, 170, 140, "open", "2-graph?"], [640, 324, 148, 180, "open", "pg(9,35,5)?; 2-graph?"], [640, 355, 210, 180, "open", "2-graph?"], [640, 396, 260, 220, "open", "q111=0"], [640, 426, 282, 286, "open", ""], [640, 429, 288, 286, "open", ""], [640, 441, 308, 294, "open", ""], [640, 486, 366, 378, "open", ""], [640, 567, 502, 504, "exists", ""], [640, 568, 504, 504, "exists", ""], [641, 320, 159, 160, "exists", "Paley(641); 2-graph*"], [645, 140, 31, 30, "open", "pg(14,9,3)?"], [645, 160, 38, 40, "open", ""], [645, 184, 53, 52, "open", ""], [645, 210, 85, 60, "open", ""], [645, 322, 160, 161, "impossible", "Conf"], [645, 434, 283, 310, "open", "pg(14,30,10)?"], [645, 460, 327, 330, "open", ""], [645, 484, 363, 363, "open", ""], [645, 504, 393, 396, "open", ""], [646, 245, 84, 98, "open", ""], [646, 400, 252, 240, "open", ""], [649, 72, 15, 7, "open", ""], [649, 216, 63, 76, "open", ""], [649, 256, 108, 96, "open", ""], [649, 324, 161, 162, "impossible", "Conf"], [649, 392, 231, 245, "open", ""], [649, 432, 291, 280, "open", ""], [649, 576, 510, 520, "open", ""], [650, 55, 0, 5, "open", ""], [650, 121, 24, 22, "open", ""], [650, 177, 8, 63, "impossible", "Krein2; Absolute bound"], [650, 253, 108, 92, "open", ""], [650, 297, 168, 108, "impossible", "Absolute bound"], [650, 352, 162, 224, "impossible", "Absolute bound"], [650, 396, 234, 252, "open", ""], [650, 472, 357, 304, "impossible", "Krein1; Absolute bound"], [650, 528, 428, 432, "open", ""], [650, 594, 543, 540, "open", ""], [651, 90, 33, 9, "exists", "S(2,3,63); lines in PG(5,2)"], [651, 182, 73, 42, "open", ""], [651, 200, 55, 64, "open", ""], [651, 210, 77, 63, "open", ""], [651, 234, 89, 81, "open", "S(2,9,217)?"], [651, 416, 262, 272, "open", ""], [651, 440, 292, 308, "open", "pg(20,21,14)?"], [651, 450, 313, 306, "open", ""], [651, 468, 327, 360, "open", "pg(13,35,10)?"], [651, 560, 478, 504, "exists", "pg(20,27,18)?"], [653, 326, 162, 163, "exists", "Paley(653); 2-graph*"], [657, 208, 67, 65, "open", ""], [657, 256, 80, 112, "open", ""], [657, 328, 147, 180, "open", ""], [657, 328, 163, 164, "open", "2-graph*?"], [657, 328, 179, 148, "open", ""], [657, 400, 255, 225, "open", ""], [657, 448, 304, 308, "open", ""], [658, 162, 51, 36, "exists", "S(2,6,141)"], [658, 495, 368, 385, "exists", ""], [661, 330, 164, 165, "exists", "Paley(661); 2-graph*"], [664, 170, 24, 50, "open", ""], [664, 493, 372, 348, "open", ""], [665, 280, 135, 105, "open", ""], [665, 332, 165, 166, "impossible", "Conf"], [665, 384, 208, 240, "open", ""], [666, 70, 35, 4, "exists", "Triangular graph T(37)"], [666, 105, 24, 15, "open", ""], [666, 245, 100, 84, "open", ""], [666, 420, 258, 276, "open", ""], [666, 560, 469, 480, "open", ""], [666, 595, 528, 561, "exists", ""], [667, 96, 0, 16, "open", ""], [667, 570, 489, 475, "open", ""], [669, 334, 166, 167, "impossible", "Conf"], [672, 121, 20, 22, "open", "pg(11,10,2)?"], [672, 176, 40, 48, "exists", "pg(11,15,3)?"], [672, 183, 54, 48, "open", ""], [672, 220, 96, 60, "open", ""], [672, 231, 70, 84, "open", "pg(11,20,4)?"], [672, 244, 96, 84, "open", ""], [672, 275, 130, 100, "open", ""], [672, 396, 220, 252, "open", "pg(11,35,7)?"], [672, 427, 266, 280, "open", ""], [672, 440, 292, 280, "open", ""], [672, 451, 290, 328, "open", "pg(11,40,8)?"], [672, 488, 352, 360, "open", ""], [672, 495, 366, 360, "exists", "NU(6,2)"], [672, 550, 450, 450, "open", ""], [673, 336, 167, 168, "exists", "Paley(673); 2-graph*"], [675, 322, 145, 161, "open", "pg(14,22,7)?; 2-graph*?"], [675, 336, 166, 168, "exists", "pg(24,13,12)?; 2-graph*"], [675, 338, 169, 169, "exists", "S(2,13,325)?; 2-graph*"], [675, 352, 190, 176, "open", "2-graph*?"], [676, 45, 2, 3, "open", ""], [676, 50, 24, 2, "exists", "26<sup>2</sup>"], [676, 75, 26, 6, "exists", "OA(26,3)"], [676, 100, 30, 12, "exists", "OA(26,4)"], [676, 108, 2, 20, "open", ""], [676, 125, 36, 20, "exists", "OA(26,5)"], [676, 135, 14, 30, "open", ""], [676, 150, 23, 36, "open", ""], [676, 150, 44, 30, "exists", "OA(26,6)"], [676, 162, 28, 42, "open", ""], [676, 175, 54, 42, "open", "OA(26,7)?"], [676, 180, 102, 28, "impossible", "Absolute bound"], [676, 189, 44, 56, "open", ""], [676, 189, 62, 49, "exists", "S(2,7,169)"], [676, 200, 66, 56, "open", "OA(26,8)?"], [676, 210, 23, 84, "impossible", "Krein2; Absolute bound"], [676, 216, 62, 72, "open", "pg(12,17,4)?"], [676, 225, 54, 85, "open", ""], [676, 225, 80, 72, "open", "OA(26,9)?"], [676, 243, 82, 90, "open", ""], [676, 250, 96, 90, "open", "OA(26,10)?"], [676, 255, 114, 85, "open", ""], [676, 261, 30, 145, "impossible", "Krein2; Absolute bound"], [676, 270, 104, 110, "open", ""], [676, 270, 143, 84, "impossible", "Absolute bound"], [676, 275, 114, 110, "open", "OA(26,11)?"], [676, 297, 128, 132, "open", ""], [676, 300, 134, 132, "open", "OA(26,12)?"], [676, 315, 122, 168, "open", ""], [676, 315, 138, 154, "open", "2-graph?"], [676, 324, 154, 156, "open", "RSHCD<sup>\u2013</sup>?; 2-graph?"], [676, 325, 156, 156, "exists", "OA(26,13)?; RSHCD<sup>+</sup>; 2-graph"], [676, 330, 168, 154, "open", "2-graph?"], [676, 345, 168, 184, "open", "2-graph?"], [676, 350, 180, 182, "exists", "OA(26,14)?; 2-graph"], [676, 351, 182, 182, "open", "2-graph?"], [676, 360, 198, 184, "open", "2-graph?"], [676, 360, 212, 168, "open", ""], [676, 375, 206, 210, "open", "OA(26,15)?"], [676, 378, 212, 210, "open", ""], [676, 400, 234, 240, "open", "OA(26,16)?"], [676, 405, 218, 279, "impossible", "Absolute bound"], [676, 405, 244, 240, "open", ""], [676, 414, 297, 184, "impossible", "Krein1; Absolute bound"], [676, 420, 249, 280, "open", "pg(12,34,8)?"], [676, 425, 264, 272, "open", "OA(26,17)?"], [676, 432, 278, 272, "open", ""], [676, 450, 296, 306, "open", "OA(26,18)?"], [676, 450, 309, 280, "open", ""], [676, 459, 314, 306, "open", ""], [676, 465, 338, 279, "impossible", "Krein1; Absolute bound"], [676, 475, 330, 342, "open", "OA(26,19)?"], [676, 486, 345, 360, "exists", ""], [676, 486, 352, 342, "open", ""], [676, 495, 342, 418, "impossible", "Absolute bound"], [676, 500, 366, 380, "open", "OA(26,20)?"], [676, 513, 392, 380, "open", ""], [676, 525, 404, 420, "exists", "OA(26,21)?"], [676, 525, 410, 399, "open", ""], [676, 540, 434, 420, "open", ""], [676, 550, 444, 462, "exists", "OA(26,22)?"], [676, 567, 478, 462, "open", ""], [676, 575, 486, 506, "exists", "OA(26,23)?"], [676, 600, 530, 552, "exists", "OA(26,24)?"], [676, 625, 576, 600, "exists", "OA(26,25)?"], [676, 630, 587, 588, "open", ""], [677, 338, 168, 169, "exists", "Paley(677); 2-graph*"], [680, 175, 30, 50, "open", "pg(7,24,2)?"], [680, 280, 108, 120, "open", ""], [680, 399, 238, 228, "open", ""], [680, 504, 378, 360, "open", ""], [681, 340, 169, 170, "impossible", "Conf"], [682, 240, 92, 80, "open", ""], [682, 441, 280, 294, "open", "pg(21,20,14)?"], [685, 342, 170, 171, "open", "2-graph*?"], [686, 135, 24, 27, "open", ""], [686, 250, 75, 100, "open", ""], [686, 285, 124, 114, "open", ""], [686, 400, 228, 240, "open", ""], [686, 435, 284, 261, "open", ""], [686, 550, 441, 440, "open", ""], [689, 172, 15, 52, "impossible", "Krein2"], [689, 256, 120, 80, "open", ""], [689, 344, 171, 172, "open", "2-graph*?"], [689, 432, 255, 297, "open", ""], [689, 516, 395, 360, "impossible", "Krein1"], [690, 52, 2, 4, "open", ""], [690, 221, 76, 68, "open", ""], [690, 260, 94, 100, "open", ""], [690, 273, 80, 126, "open", ""], [690, 318, 121, 168, "open", ""], [690, 371, 220, 175, "open", ""], [690, 416, 268, 224, "open", ""], [690, 429, 268, 264, "open", ""], [690, 468, 314, 324, "open", "S(2,18,460)?"], [690, 637, 588, 588, "open", ""], [693, 180, 51, 45, "exists", "U<sub>6</sub>(2) / 2<sup>9</sup>.U<sub>4</sub>(2); subconstituent of Fi<sub>22</sub> graph; U(6,2) polar graph; pg(20,8,5)?"], [693, 192, 66, 48, "open", ""], [693, 346, 172, 173, "impossible", "Conf"], [693, 500, 355, 375, "open", "pg(20,24,15)?"], [693, 512, 376, 384, "exists", ""], [696, 125, 10, 25, "open", ""], [696, 570, 469, 456, "open", ""], [697, 96, 20, 12, "open", "pg(16,5,2)?"], [697, 108, 9, 18, "open", ""], [697, 348, 167, 180, "open", ""], [697, 348, 173, 174, "open", "2-graph*?"], [697, 348, 179, 168, "open", ""], [697, 588, 497, 490, "open", ""], [697, 600, 515, 525, "open", ""], [700, 216, 54, 72, "open", "pg(9,23,3)?"], [700, 243, 90, 81, "open", "S(2,9,225)?"], [700, 456, 293, 304, "open", "pg(24,18,16)?"], [700, 483, 338, 322, "open", ""], [701, 350, 174, 175, "exists", "Paley(701); 2-graph*"], [703, 72, 36, 4, "exists", "Triangular graph T(38)"], [703, 182, 81, 35, "open", ""], [703, 520, 372, 420, "open", ""], [703, 630, 561, 595, "exists", "pg(18,34,17)?"], [704, 37, 0, 2, "open", ""], [704, 190, 54, 50, "open", "pg(19,9,5)?"], [704, 228, 52, 84, "open", ""], [704, 475, 330, 300, "open", ""], [704, 513, 372, 378, "open", ""], [704, 666, 630, 630, "open", ""], [705, 256, 80, 100, "open", ""], [705, 308, 145, 126, "open", ""], [705, 352, 175, 176, "impossible", "Conf"], [705, 396, 213, 234, "open", ""], [705, 448, 291, 273, "open", ""], [709, 354, 176, 177, "exists", "Paley(709); 2-graph*"], [711, 70, 5, 7, "open", ""], [711, 230, 85, 69, "open", ""], [711, 480, 318, 336, "open", ""], [711, 640, 576, 576, "open", ""], [713, 356, 177, 178, "impossible", "Conf"], [714, 92, 10, 12, "open", ""], [714, 161, 40, 35, "open", ""], [714, 217, 56, 70, "open", ""], [714, 248, 97, 80, "open", ""], [714, 465, 296, 315, "open", ""], [714, 496, 348, 336, "open", ""], [714, 552, 425, 432, "open", ""], [714, 621, 540, 540, "open", ""], [715, 120, 20, 20, "open", "pg(12,9,2)?"], [715, 154, 33, 33, "open", ""], [715, 224, 48, 80, "open", ""], [715, 228, 65, 76, "open", "pg(12,18,4)?"], [715, 266, 105, 95, "open", ""], [715, 272, 102, 104, "open", ""], [715, 442, 273, 273, "open", ""], [715, 448, 276, 288, "open", ""], [715, 486, 333, 324, "open", ""], [715, 490, 345, 315, "open", ""], [715, 560, 438, 440, "open", ""], [715, 594, 493, 495, "open", ""], [717, 358, 178, 179, "impossible", "Conf"], [721, 192, 48, 52, "open", ""], [721, 220, 69, 66, "open", ""], [721, 324, 147, 144, "open", "S(2,12,309)?"], [721, 360, 179, 180, "impossible", "Conf"], [721, 396, 215, 220, "open", ""], [721, 500, 345, 350, "open", ""], [721, 528, 387, 385, "open", ""], [722, 103, 12, 15, "open", ""], [722, 105, 16, 15, "open", ""], [722, 309, 116, 144, "open", ""], [722, 336, 170, 144, "open", ""], [722, 385, 192, 220, "open", ""], [722, 412, 246, 220, "open", ""], [722, 616, 525, 528, "open", ""], [722, 618, 529, 528, "open", ""], [725, 148, 3, 37, "impossible", "Krein2"], [725, 196, 63, 49, "exists", "S(2,7,175)"], [725, 362, 180, 181, "open", "2-graph*?"], [725, 528, 380, 396, "exists", "pg(24,21,18)?"], [725, 576, 464, 432, "impossible", "Krein1"], [726, 29, 4, 1, "impossible", "mu=1"], [726, 116, 10, 20, "open", ""], [726, 125, 28, 20, "open", ""], [726, 140, 22, 28, "open", "pg(10,13,2)?"], [726, 145, 32, 28, "open", ""], [726, 145, 44, 25, "exists", "S(2,5,121)"], [726, 195, 88, 39, "impossible", "Absolute bound"], [726, 200, 10, 72, "impossible", "Krein2; Absolute bound"], [726, 203, 40, 63, "open", ""], [726, 225, 84, 63, "open", ""], [726, 261, 132, 72, "impossible", "Absolute bound"], [726, 270, 87, 108, "open", "pg(10,26,4)?"], [726, 290, 127, 108, "open", ""], [726, 300, 95, 144, "open", ""], [726, 325, 164, 130, "open", ""], [726, 400, 204, 240, "open", "pg(10,39,6)?"], [726, 425, 268, 221, "open", ""], [726, 435, 252, 273, "open", ""], [726, 455, 292, 273, "open", ""], [726, 464, 274, 336, "impossible", "Absolute bound"], [726, 500, 337, 360, "open", ""], [726, 522, 381, 360, "open", ""], [726, 525, 396, 336, "impossible", "Krein1; Absolute bound"], [726, 530, 373, 424, "impossible", "Absolute bound"], [726, 580, 459, 480, "exists", ""], [726, 580, 462, 468, "open", ""], [726, 585, 472, 468, "open", ""], [726, 600, 494, 504, "open", ""], [726, 609, 512, 504, "open", ""], [726, 696, 667, 672, "impossible", ""], [729, 52, 25, 2, "exists", "27<sup>2</sup>; from a partial spread of 3-spaces: projective ternary [26,6] code with weights 9, 18"], [729, 78, 27, 6, "exists", "OA(27,3); from a partial spread of 3-spaces: projective ternary [39,6] code with weights 18, 27"], [729, 88, 7, 11, "exists", "<a href=\"srgtabrefs.html#Godsil92\">Godsil</a>(q=9,r=5); GQ(8,10)"], [729, 104, 31, 12, "exists", "OA(27,4); Bilin<sub>2x3</sub>(3); from a  Baer subplane: projective 9-ary [13,3] code with weights 9, 12; from a partial spread of 3-spaces: projective ternary [52,6] code with weights 27, 36"], [729, 112, 1, 20, "exists", "3<sup>6</sup>.2.L3(4).2 (rk 4) - <a href=\"srgtabrefs.html#Hill73\">Hill</a> cap: projective ternary [56,6] code with weights 36, 45; <a href=\"srgtabrefs.html#BondarenkoRadchenko12\">Bondarenko-Radchenko</a>"], [729, 130, 37, 20, "exists", "OA(27,5); from a partial spread of 3-spaces: projective ternary [65,6] code with weights 36, 45"], [729, 140, 13, 30, "open", ""], [729, 156, 45, 30, "exists", "OA(27,6); from a partial spread of 3-spaces: projective ternary [78,6] code with weights 45, 54"], [729, 160, 88, 20, "impossible", "Absolute bound"], [729, 168, 27, 42, "exists", "pg(8,20,2) - <a href=\"srgtabrefs.html#DeClerck_et_al02\">Mathon</a>; <a href=\"srgtabrefs.html#Gulliver96\">Gulliver</a>: projective ternary [84,6] code with weights 54, 63"], [729, 182, 1, 60, "impossible", "Krein2; Absolute bound"], [729, 182, 55, 42, "exists", "OA(27,7); from a partial spread of 3-spaces: projective ternary [91,6] code with weights 54, 63"], [729, 196, 43, 56, "exists", "<a href=\"srgtabrefs.html#Gulliver96\">Gulliver</a>: projective ternary [98,6] code with weights 63, 72"], [729, 208, 37, 68, "open", ""], [729, 208, 67, 56, "exists", "OA(27,8); from a partial spread of Baer subplanes: projective 9-ary [26,3] code with weights 21, 24; <a href=\"srgtabrefs.html#Brouwer85\">Brouwer</a>(q=3,d=2,e=3,+); from a partial spread of 3-spaces: projective ternary [104,6] code with weights 63, 72"], [729, 224, 61, 72, "exists", "from a unital: projective 9-ary [28,3] code with weights 24, 27; VO<sup>\u2013</sup>(6,3) affine polar graph"], [729, 234, 81, 72, "exists", "OA(27,9); Wallis (AR(3,3)+S(2,3,27)); VNO<sup>+</sup>(6,3) affine polar graph; from a partial spread of 3-spaces: projective ternary [117,6] code with weights 72, 81"], [729, 248, 67, 93, "open", "pg(8,30,3)?"], [729, 252, 81, 90, "exists", "VNO<sup>\u2013</sup>(6,3) affine polar graph; projective ternary [126,6] code with weights 81, 90"], [729, 260, 97, 90, "exists", "OA(27,10); Wallis2 (AR(3,3)+S(2,3,27)); VO<sup>+</sup>(6,3) affine polar graph; from a partial spread of 3-spaces: projective ternary [130,6] code with weights 81, 90"], [729, 280, 31, 155, "impossible", "Krein2; Absolute bound"], [729, 280, 103, 110, "exists", "35-set of type (2,5) in PG(2,9) - <a href=\"srgtabrefs.html#deResmini87\">De Resmini</a>: projective 9-ary [35,3] code with weights 30, 33"], [729, 280, 127, 95, "open", ""], [729, 286, 115, 110, "exists", "OA(27,11); from a partial spread of 3-spaces: projective ternary [143,6] code with weights 90, 99"], [729, 308, 127, 132, "exists", "<a href=\"srgtabrefs.html#Gulliver96a\">Gulliver</a>: projective ternary [154,6] code with weights 99, 108"], [729, 312, 135, 132, "exists", "OA(27,12); from a partial spread of Baer subplanes: projective 9-ary [39,3] code with weights 33, 36; from a partial spread of 3-spaces: projective ternary [156,6] code with weights 99, 108"], [729, 312, 171, 105, "impossible", "Absolute bound"], [729, 320, 166, 120, "open", ""], [729, 328, 127, 164, "exists", "<a href=\"srgtabrefs.html#Godsil92\">Godsil</a>(q=9,r=2); pg(8,40,4)?; 2-graph*"], [729, 336, 153, 156, "exists", "<a href=\"srgtabrefs.html#PenttilaRoyle95\">Penttila & Royle</a>: projective 9-ary [42,3] code with weights 36, 39"], [729, 338, 157, 156, "exists", "OA(27,13); <a href=\"srgtabrefs.html#Pasechnik92\">Pasechnik(27)</a>; from a partial spread of 3-spaces: projective ternary [169,6] code with weights 108, 117"], [729, 364, 181, 182, "exists", "Paley(729); OA(27,14); 2-graph*"], [729, 390, 207, 210, "exists", "OA(27,15)"], [729, 392, 211, 210, "exists", ""], [729, 400, 235, 200, "exists", "2-graph*"], [729, 408, 207, 255, "open", "pg(8,50,5)?"], [729, 416, 208, 276, "impossible", "Absolute bound"], [729, 416, 235, 240, "exists", "OA(27,16)"], [729, 420, 243, 240, "exists", ""], [729, 442, 265, 272, "exists", "OA(27,17)"], [729, 448, 262, 296, "open", ""], [729, 448, 277, 272, "exists", ""], [729, 448, 322, 200, "impossible", "Krein1; Absolute bound"], [729, 468, 297, 306, "exists", "OA(27,18)"], [729, 476, 313, 306, "exists", ""], [729, 480, 324, 300, "open", ""], [729, 494, 331, 342, "exists", "OA(27,19)"], [729, 504, 351, 342, "exists", ""], [729, 520, 367, 380, "exists", "OA(27,20)"], [729, 520, 379, 350, "open", ""], [729, 532, 391, 380, "exists", ""], [729, 546, 405, 420, "exists", "OA(27,21)"], [729, 546, 423, 366, "impossible", "Krein1; Absolute bound"], [729, 560, 433, 420, "exists", ""], [729, 568, 427, 497, "impossible", "Absolute bound"], [729, 572, 445, 462, "exists", "OA(27,22)"], [729, 588, 477, 462, "open", ""], [729, 598, 487, 506, "exists", "OA(27,23)"], [729, 616, 523, 506, "exists", ""], [729, 624, 531, 552, "exists", "OA(27,24)"], [729, 640, 562, 560, "exists", ""], [729, 650, 577, 600, "exists", "OA(27,25)"], [729, 676, 625, 650, "exists", "OA(27,26)"], [730, 153, 24, 34, "open", "pg(9,16,2)?"], [730, 324, 123, 160, "open", "2-graph?"], [730, 351, 168, 169, "exists", "switch OA(27,14)+*; switch skewhad<sup>2</sup>+*; 2-graph"], [730, 360, 195, 160, "exists", "2-graph"], [730, 369, 168, 205, "exists", "pg(9,40,5)?; Taylor 2-graph for U<sub>3</sub>(9)"], [730, 378, 195, 196, "exists", "S(2,14,365)?; 2-graph"], [730, 405, 240, 205, "open", "2-graph?"], [730, 576, 456, 448, "open", ""], [731, 250, 105, 75, "open", ""], [731, 480, 304, 336, "open", ""], [732, 238, 92, 70, "open", ""], [732, 493, 324, 348, "open", ""], [733, 366, 182, 183, "exists", "Paley(733); 2-graph*"], [735, 318, 109, 159, "open", "pg(6,52,3)?; 2-graph*?"], [735, 360, 172, 180, "open", "pg(20,17,10)?; 2-graph*?"], [735, 374, 193, 187, "open", "2-graph*?"], [735, 416, 256, 208, "open", "2-graph*?"], [736, 42, 8, 2, "impossible", "&mu;=2 (<a href=\"srgtabrefs.html#BrouwerNeumaier88\">Brouwer-Neumaier</a>)"], [736, 60, 14, 4, "open", ""], [736, 105, 20, 14, "open", "pg(15,6,2)?"], [736, 168, 32, 40, "open", ""], [736, 180, 68, 36, "open", ""], [736, 195, 50, 52, "open", "pg(15,12,4)?"], [736, 270, 114, 90, "open", ""], [736, 294, 122, 114, "open", ""], [736, 315, 106, 156, "open", "2-graph?"], [736, 330, 140, 154, "open", "pg(15,21,7)?"], [736, 350, 162, 170, "open", "2-graph?"], [736, 357, 176, 170, "open", "2-graph?"], [736, 364, 204, 156, "open", "2-graph?"], [736, 371, 162, 212, "open", "pg(7,52,4)?; 2-graph?"], [736, 378, 190, 198, "open", "2-graph?"], [736, 385, 204, 198, "open", "2-graph?"], [736, 405, 228, 216, "open", ""], [736, 420, 260, 212, "open", "2-graph?"], [736, 441, 260, 270, "open", ""], [736, 465, 284, 310, "open", "pg(15,30,10)?"], [736, 540, 396, 396, "open", ""], [736, 555, 410, 444, "open", "pg(15,36,12)?"], [736, 567, 438, 432, "open", ""], [736, 630, 538, 546, "open", ""], [736, 675, 618, 630, "open", ""], [736, 693, 652, 660, "impossible", ""], [737, 96, 35, 9, "exists", "S(2,3,67)"], [737, 368, 183, 184, "impossible", "Conf"], [737, 640, 552, 580, "exists", ""], [741, 74, 37, 4, "exists", "Triangular graph T(39)"], [741, 180, 39, 45, "open", "pg(12,14,3)?"], [741, 260, 91, 91, "open", ""], [741, 320, 130, 144, "open", ""], [741, 370, 184, 185, "impossible", "Conf"], [741, 420, 243, 231, "open", ""], [741, 480, 310, 312, "open", ""], [741, 560, 424, 420, "open", ""], [741, 666, 595, 630, "exists", ""], [742, 221, 60, 68, "open", "pg(13,16,4)?"], [742, 255, 92, 85, "open", ""], [742, 285, 92, 120, "open", ""], [742, 351, 180, 153, "open", ""], [742, 390, 191, 220, "open", ""], [742, 456, 290, 264, "open", ""], [742, 486, 315, 324, "open", "S(2,18,477)?"], [742, 520, 366, 360, "open", ""], [745, 372, 185, 186, "open", "2-graph*?"], [748, 180, 53, 40, "open", ""], [748, 567, 426, 441, "open", "S(2,21,561)?"], [749, 374, 186, 187, "impossible", "Conf"], [750, 112, 20, 16, "open", "pg(14,7,2)?"], [750, 210, 55, 60, "open", "pg(14,14,4)?"], [750, 214, 63, 60, "open", ""], [750, 308, 118, 132, "open", "pg(14,21,6)?"], [750, 321, 144, 132, "open", ""], [750, 343, 168, 147, "open", ""], [750, 406, 209, 232, "open", "pg(14,28,8)?"], [750, 428, 238, 252, "open", ""], [750, 441, 264, 252, "open", ""], [750, 535, 380, 385, "open", ""], [750, 539, 388, 385, "open", ""], [750, 637, 540, 546, "open", ""], [753, 376, 187, 188, "impossible", "Conf"], [754, 243, 72, 81, "open", ""], [754, 510, 347, 340, "open", ""], [755, 130, 9, 25, "open", ""], [755, 174, 53, 36, "exists", "S(2,6,151)"], [755, 580, 441, 460, "exists", ""], [755, 624, 518, 504, "open", ""], [756, 130, 4, 26, "exists", "q222=0; O<sup>\u2013</sup>(6,5) polar graph; GQ(5,25)"], [756, 150, 28, 30, "open", ""], [756, 160, 40, 32, "open", "pg(20,7,4)?"], [756, 315, 138, 126, "open", ""], [756, 440, 250, 264, "open", "pg(20,21,12)?"], [756, 595, 466, 476, "open", ""], [756, 605, 484, 484, "open", ""], [756, 625, 520, 500, "exists", "q111=0"], [757, 378, 188, 189, "exists", "Paley(757); 2-graph*"], [760, 143, 30, 26, "open", ""], [760, 161, 30, 35, "open", ""], [760, 165, 20, 40, "open", ""], [760, 220, 72, 60, "open", ""], [760, 252, 82, 84, "open", "pg(18,13,6)?"], [760, 264, 68, 104, "open", ""], [760, 345, 176, 140, "open", ""], [760, 414, 208, 246, "open", ""], [760, 495, 334, 300, "open", ""], [760, 507, 338, 338, "open", ""], [760, 539, 378, 392, "open", ""], [760, 594, 468, 450, "open", ""], [760, 598, 471, 468, "open", ""], [760, 616, 498, 504, "open", ""], [761, 380, 189, 190, "exists", "Paley(761); 2-graph*"], [765, 176, 28, 44, "open", "pg(8,21,2)?"], [765, 192, 48, 48, "exists", "<a href=\"srgtabrefs.html#IoninKharaghani03\">Ionin-Kharaghani</a>; pg(16,11,4)?"], [765, 382, 190, 191, "open", "2-graph*?"], [765, 572, 427, 429, "exists", ""], [765, 588, 455, 441, "open", ""], [768, 59, 10, 4, "open", ""], [768, 117, 16, 18, "open", ""], [768, 177, 36, 42, "open", ""], [768, 182, 46, 42, "open", ""], [768, 195, 18, 60, "impossible", "Krein2"], [768, 236, 100, 60, "open", ""], [768, 295, 102, 120, "open", ""], [768, 312, 136, 120, "open", ""], [768, 325, 120, 150, "open", ""], [768, 442, 266, 238, "open", ""], [768, 455, 262, 280, "open", ""], [768, 472, 296, 280, "open", ""], [768, 531, 354, 396, "open", ""], [768, 572, 436, 396, "impossible", "Krein1"], [768, 585, 444, 450, "open", ""], [768, 590, 454, 450, "open", ""], [768, 650, 550, 550, "open", ""], [768, 708, 652, 660, "open", ""], [769, 384, 191, 192, "exists", "Paley(769); 2-graph*"], [771, 266, 85, 95, "open", ""], [771, 504, 332, 324, "open", ""], [773, 386, 192, 193, "exists", "Paley(773); 2-graph*"], [775, 150, 45, 25, "exists", "S(2,5,125); Lines in AG(3,5) (rk 4); Wallis (AR(5,1)+S(2,6,31))"], [775, 288, 98, 112, "open", ""], [775, 486, 309, 297, "open", ""], [775, 624, 498, 520, "exists", "pg(24,25,20)?"], [776, 124, 39, 16, "exists", "S(2,4,97)"], [776, 651, 542, 567, "exists", ""], [777, 388, 193, 194, "impossible", "Conf"], [779, 378, 177, 189, "exists", "pg(18,20,9)?; 2-graph*"], [779, 400, 210, 200, "exists", "2-graph*"], [780, 76, 38, 4, "exists", "Triangular graph T(40)"], [780, 171, 42, 36, "open", "pg(19,8,4)?"], [780, 246, 76, 78, "open", ""], [780, 247, 78, 78, "open", "pg(19,12,6)?"], [780, 369, 158, 189, "open", ""], [780, 369, 168, 180, "exists", "2-graph"], [780, 380, 190, 180, "exists", "Wallis (AR(2,5)+S(2,3,39)); 2-graph"], [780, 399, 198, 210, "exists", "Goethals-Seidel(3,19); pg(19,20,10)?; 2-graph"], [780, 410, 220, 210, "exists", "from 2-(39,3,1) with 1-factor <a href=\"srgtabrefs.html#Fickus_et_al15\">Fickus et al.</a>; 2-graph"], [780, 410, 229, 200, "open", ""], [780, 532, 362, 364, "open", ""], [780, 533, 364, 364, "open", ""], [780, 608, 472, 480, "open", ""], [780, 703, 630, 666, "exists", "pg(19,36,18)?"], [781, 290, 93, 116, "open", "pg(10,28,4)?"], [781, 348, 167, 145, "open", ""], [781, 390, 194, 195, "impossible", "Conf"], [781, 432, 228, 252, "open", ""], [781, 490, 315, 294, "open", ""], [782, 99, 36, 9, "exists", "S(2,3,69)"], [782, 682, 591, 620, "exists", "pg(22,30,20)?"], [783, 230, 49, 75, "open", ""], [783, 390, 193, 195, "exists", "pg(26,14,13)?; 2-graph*"], [783, 392, 196, 196, "exists", "S(2,14,378)?; 2-graph*"], [783, 552, 396, 372, "open", ""], [784, 54, 26, 2, "exists", "28<sup>2</sup>"], [784, 81, 28, 6, "exists", "OA(28,3)"], [784, 90, 12, 10, "open", ""], [784, 108, 32, 12, "exists", "OA(28,4)"], [784, 116, 0, 20, "open", "(<a href=\"srgtabrefs.html#Makhnev17\">Makhnev</a> is wrong); q222=0"], [784, 135, 38, 20, "exists", "OA(28,5)"], [784, 145, 12, 30, "open", ""], [784, 162, 46, 30, "exists", "OA(28,6)"], [784, 174, 26, 42, "open", ""], [784, 189, 56, 42, "exists", "OA(28,7)"], [784, 203, 42, 56, "open", ""], [784, 216, 68, 56, "open", "OA(28,8)?"], [784, 228, 42, 76, "open", "pg(6,37,2)?"], [784, 232, 60, 72, "open", ""], [784, 243, 42, 90, "impossible", "Krein2"], [784, 243, 82, 72, "exists", "Mathon; OA(28,9)?"], [784, 261, 80, 90, "open", ""], [784, 261, 108, 76, "open", ""], [784, 270, 98, 90, "exists", "Mathon; OA(28,10)?"], [784, 290, 102, 110, "open", ""], [784, 297, 116, 110, "exists", "Mathon; OA(28,11)?"], [784, 319, 126, 132, "open", ""], [784, 324, 136, 132, "open", "OA(28,12)?"], [784, 348, 152, 156, "open", ""], [784, 348, 182, 132, "open", ""], [784, 351, 158, 156, "open", "OA(28,13)?"], [784, 377, 180, 182, "exists", "RSHCD<sup>\u2013</sup>; 2-graph"], [784, 378, 182, 182, "exists", "OA(28,14)?; Wallis (AR(2,7)+S(2,2,28)); RSHCD<sup>+</sup>; 2-graph"], [784, 405, 208, 210, "exists", "OA(28,15)?; Wallis2 (AR(2,7)+S(2,2,28)); Goethals-Seidel(2,27); 2-graph"], [784, 406, 210, 210, "exists", "from 2-(28,2,1) with 1-factor <a href=\"srgtabrefs.html#Fickus_et_al15\">Fickus et al.</a>; 2-graph"], [784, 432, 236, 240, "open", "OA(28,16)?"], [784, 435, 218, 270, "open", ""], [784, 435, 242, 240, "open", ""], [784, 459, 266, 272, "open", "OA(28,17)?"], [784, 464, 276, 272, "open", ""], [784, 486, 298, 306, "exists", "OA(28,18)?"], [784, 493, 312, 306, "open", ""], [784, 513, 332, 342, "exists", "OA(28,19)?"], [784, 522, 336, 370, "open", ""], [784, 522, 350, 342, "open", ""], [784, 540, 368, 380, "exists", "OA(28,20)?"], [784, 540, 386, 340, "impossible", "Krein1"], [784, 551, 390, 380, "open", ""], [784, 555, 402, 370, "open", ""], [784, 567, 406, 420, "open", "OA(28,21)?"], [784, 580, 432, 420, "open", ""], [784, 594, 446, 462, "exists", "OA(28,22)?"], [784, 609, 476, 462, "open", ""], [784, 621, 488, 506, "exists", "OA(28,23)?"], [784, 638, 522, 506, "open", ""], [784, 648, 532, 552, "exists", "OA(28,24)?"], [784, 667, 570, 552, "open", "q111=0"], [784, 675, 578, 600, "exists", "OA(28,25)?"], [784, 693, 612, 616, "open", ""], [784, 702, 626, 650, "exists", "OA(28,26)?"], [784, 729, 676, 702, "exists", "OA(28,27)?"], [785, 392, 195, 196, "open", "2-graph*?"], [789, 394, 196, 197, "impossible", "Conf"], [792, 105, 6, 15, "open", ""], [792, 259, 106, 74, "open", ""], [792, 336, 140, 144, "open", "pg(21,15,9)?"], [792, 350, 160, 150, "open", ""], [792, 441, 240, 252, "open", "pg(21,20,12)?"], [792, 455, 262, 260, "open", ""], [792, 532, 346, 380, "open", ""], [792, 686, 595, 588, "open", ""], [793, 162, 21, 36, "open", ""], [793, 280, 87, 105, "open", ""], [793, 330, 147, 130, "open", ""], [793, 396, 197, 198, "open", "2-graph*?"], [793, 462, 261, 280, "open", ""], [793, 512, 336, 320, "open", ""], [793, 630, 503, 490, "open", ""], [797, 398, 198, 199, "exists", "Paley(797); 2-graph*"], [800, 85, 0, 10, "open", ""], [800, 94, 18, 10, "open", ""], [800, 187, 42, 44, "open", ""], [800, 204, 28, 60, "open", "q222=0"], [800, 235, 90, 60, "open", ""], [800, 340, 150, 140, "open", ""], [800, 357, 148, 168, "open", ""], [800, 376, 204, 152, "open", ""], [800, 423, 198, 252, "open", ""], [800, 442, 252, 234, "open", ""], [800, 459, 258, 270, "open", ""], [800, 564, 388, 420, "open", ""], [800, 595, 450, 420, "open", "q111=0"], [800, 612, 468, 468, "open", ""], [800, 705, 620, 630, "open", ""], [800, 714, 638, 630, "open", ""], [801, 400, 199, 200, "open", "2-graph*?"], [804, 143, 22, 26, "open", "pg(11,12,2)?"], [804, 660, 542, 540, "open", ""], [805, 324, 123, 135, "open", ""], [805, 336, 140, 140, "open", ""], [805, 402, 200, 201, "impossible", "Conf"], [805, 468, 271, 273, "open", ""], [805, 480, 290, 280, "open", ""], [806, 180, 54, 36, "exists", "S(2,6,156); lines in PG(3,5); O<sup>+</sup>(6,5)"], [806, 625, 480, 500, "exists", "pg(25,24,20)?"], [809, 404, 201, 202, "exists", "Paley(809); 2-graph*"], [813, 252, 71, 81, "open", ""], [813, 290, 109, 100, "open", "S(2,10,271)?"], [813, 406, 202, 203, "impossible", "Conf"], [813, 522, 331, 342, "open", ""], [813, 560, 388, 380, "open", ""], [816, 315, 114, 126, "open", "pg(15,20,6)?"], [816, 325, 128, 130, "open", ""], [816, 490, 294, 294, "open", ""], [816, 500, 310, 300, "open", ""], [817, 240, 83, 65, "open", ""], [817, 408, 203, 204, "impossible", "Conf"], [817, 576, 400, 420, "open", ""], [819, 400, 190, 200, "exists", "pg(20,19,10)?; 2-graph*"], [819, 418, 217, 209, "exists", "from ETF <a href=\"srgtabrefs.html#Fickus_et_al16\">Fickus et al.</a>; 2-graph*"], [820, 78, 39, 4, "exists", "Triangular graph T(41)"], [820, 90, 8, 10, "exists", "\tO(5,9) Sp(4,9); GQ(9,9)"], [820, 147, 18, 28, "open", ""], [820, 182, 48, 38, "open", ""], [820, 210, 35, 60, "open", "pg(7,29,2)?"], [820, 234, 68, 66, "open", ""], [820, 315, 122, 120, "open", ""], [820, 390, 180, 190, "exists", "2-graph"], [820, 399, 198, 190, "open", "2-graph?"], [820, 420, 210, 220, "open", "2-graph?"], [820, 429, 228, 220, "exists", "from ETF <a href=\"srgtabrefs.html#Fickus_et_al16\">Fickus et al.</a>; 2-graph"], [820, 504, 308, 312, "open", ""], [820, 585, 416, 420, "open", ""], [820, 609, 458, 435, "open", ""], [820, 637, 492, 504, "open", ""], [820, 672, 552, 544, "open", ""], [820, 729, 648, 648, "exists", ""], [820, 741, 666, 703, "exists", ""], [821, 410, 204, 205, "exists", "Paley(821); 2-graph*"], [825, 96, 4, 12, "open", ""], [825, 128, 40, 16, "exists", "S(2,4,100)"], [825, 280, 75, 105, "open", ""], [825, 320, 130, 120, "open", ""], [825, 392, 175, 196, "open", "pg(14,27,7)?; 2-graph*?"], [825, 412, 205, 206, "impossible", "Conf"], [825, 432, 235, 216, "open", "2-graph*?"], [825, 504, 303, 315, "open", "pg(24,20,15)?"], [825, 544, 368, 340, "open", ""], [825, 696, 583, 609, "exists", "pg(24,28,21)"], [825, 728, 643, 637, "open", ""], [826, 105, 8, 14, "open", ""], [826, 132, 26, 20, "open", ""], [826, 385, 168, 189, "open", "2-graph?"], [826, 405, 208, 189, "open", "2-graph?"], [826, 420, 203, 224, "open", "2-graph?"], [826, 440, 243, 224, "open", "2-graph?"], [826, 693, 580, 588, "open", ""], [826, 720, 628, 624, "open", ""], [829, 414, 206, 207, "exists", "Paley(829); 2-graph*"], [832, 210, 2, 70, "impossible", "Krein2; Absolute bound"], [832, 306, 130, 102, "open", ""], [832, 525, 320, 350, "open", "pg(15,34,10)?"], [832, 621, 480, 414, "impossible", "Krein1; Absolute bound"], [833, 112, 21, 14, "open", "pg(16,6,2)?"], [833, 130, 21, 20, "open", "pg(13,9,2)?"], [833, 208, 117, 30, "impossible", "Absolute bound"], [833, 232, 81, 58, "open", ""], [833, 256, 84, 76, "open", ""], [833, 416, 207, 208, "open", "2-graph*?"], [833, 576, 395, 405, "open", ""], [833, 600, 425, 450, "open", "pg(20,29,15)?"], [833, 624, 445, 534, "impossible", "Absolute bound"], [833, 702, 591, 594, "open", ""], [833, 720, 621, 630, "open", ""], [836, 160, 24, 32, "open", "pg(10,15,2)?"], [836, 375, 190, 150, "open", ""], [836, 460, 234, 276, "open", "pg(10,45,6)?"], [836, 675, 546, 540, "open", ""], [837, 76, 15, 6, "open", ""], [837, 176, 40, 36, "open", ""], [837, 196, 35, 49, "open", ""], [837, 276, 135, 69, "impossible", "Absolute bound"], [837, 286, 85, 104, "open", ""], [837, 308, 127, 105, "open", ""], [837, 396, 195, 180, "open", ""], [837, 418, 208, 209, "impossible", "Conf"], [837, 440, 223, 240, "open", ""], [837, 528, 324, 348, "open", ""], [837, 550, 367, 350, "open", ""], [837, 560, 352, 420, "impossible", "Absolute bound"], [837, 640, 492, 480, "open", ""], [837, 660, 519, 525, "open", ""], [837, 760, 689, 700, "open", ""], [841, 56, 27, 2, "exists", "29<sup>2</sup>"], [841, 84, 29, 6, "exists", "OA(29,3)"], [841, 112, 33, 12, "exists", "OA(29,4)"], [841, 140, 39, 20, "exists", "OA(29,5)"], [841, 150, 11, 30, "open", ""], [841, 168, 47, 30, "exists", "OA(29,6)"], [841, 180, 25, 42, "open", ""], [841, 196, 57, 42, "exists", "OA(29,7)"], [841, 200, 87, 35, "impossible", "Abs+Neumaier"], [841, 210, 41, 56, "open", ""], [841, 224, 69, 56, "exists", "OA(29,8)"], [841, 240, 59, 72, "open", ""], [841, 252, 83, 72, "exists", "OA(29,9)"], [841, 264, 47, 99, "impossible", "Krein2"], [841, 270, 79, 90, "open", ""], [841, 280, 99, 90, "exists", "OA(29,10)"], [841, 288, 172, 60, "impossible", "Absolute bound"], [841, 300, 101, 110, "open", ""], [841, 308, 117, 110, "exists", "OA(29,11)"], [841, 320, 33, 176, "impossible", "Krein2; Absolute bound"], [841, 330, 125, 132, "open", ""], [841, 336, 137, 132, "exists", "OA(29,12)"], [841, 360, 151, 156, "open", ""], [841, 364, 159, 156, "exists", "OA(29,13)"], [841, 390, 179, 182, "open", ""], [841, 392, 183, 182, "exists", "OA(29,14)"], [841, 408, 155, 238, "impossible", "Absolute bound"], [841, 420, 209, 210, "exists", "Paley(841); OA(29,15); 2-graph*"], [841, 432, 261, 180, "impossible", "Absolute bound"], [841, 448, 237, 240, "exists", "OA(29,16)"], [841, 450, 241, 240, "open", ""], [841, 476, 267, 272, "exists", "OA(29,17)"], [841, 480, 275, 272, "open", ""], [841, 504, 299, 306, "exists", "OA(29,18)"], [841, 510, 311, 306, "open", ""], [841, 520, 375, 234, "impossible", "Krein1; Absolute bound"], [841, 532, 333, 342, "exists", "OA(29,19)"], [841, 540, 349, 342, "open", ""], [841, 552, 323, 437, "impossible", "Absolute bound"], [841, 560, 369, 380, "exists", "OA(29,20)"], [841, 570, 389, 380, "open", ""], [841, 576, 410, 360, "impossible", "Krein1"], [841, 588, 407, 420, "exists", "OA(29,21)"], [841, 600, 431, 420, "open", ""], [841, 616, 447, 462, "exists", "OA(29,22)"], [841, 630, 475, 462, "open", ""], [841, 640, 474, 528, "impossible", "Abs+Neumaier"], [841, 644, 489, 506, "exists", "OA(29,23)"], [841, 660, 521, 506, "open", ""], [841, 672, 533, 552, "exists", "OA(29,24)"], [841, 690, 569, 552, "open", ""], [841, 700, 579, 600, "exists", "OA(29,25)"], [841, 728, 627, 650, "exists", "OA(29,26)"], [841, 756, 677, 702, "exists", "OA(29,27)"], [841, 784, 729, 756, "exists", "OA(29,28)"], [842, 406, 195, 196, "exists", "switch OA(29,15)+*; 2-graph"], [842, 435, 224, 225, "exists", "S(2,15,421)?; 2-graph"], [845, 204, 43, 51, "open", "pg(12,16,3)?"], [845, 256, 108, 64, "open", ""], [845, 396, 171, 198, "open", "pg(12,32,6)?; 2-graph*?"], [845, 422, 210, 211, "open", "2-graph*?"], [845, 448, 249, 224, "open", "2-graph*?"], [845, 588, 395, 441, "open", "pg(12,48,9)?"], [845, 640, 486, 480, "open", ""], [846, 169, 24, 36, "open", ""], [846, 208, 60, 48, "open", ""], [846, 260, 70, 84, "open", ""], [846, 285, 60, 114, "impossible", "Krein2"], [846, 390, 165, 192, "open", "2-graph?"], [846, 416, 217, 192, "open", "2-graph?"], [846, 429, 204, 231, "open", "2-graph?"], [846, 455, 256, 231, "open", "2-graph?"], [846, 560, 388, 336, "impossible", "Krein1"], [846, 585, 408, 396, "open", ""], [846, 637, 476, 490, "open", ""], [846, 676, 542, 532, "open", ""], [847, 94, 21, 9, "open", ""], [847, 144, 26, 24, "open", ""], [847, 270, 109, 75, "open", ""], [847, 282, 81, 100, "open", ""], [847, 300, 117, 100, "open", ""], [847, 360, 143, 160, "open", ""], [847, 390, 161, 195, "open", "pg(10,38,5)?; 2-graph*?"], [847, 456, 260, 228, "open", "2-graph*?"], [847, 486, 285, 270, "open", ""], [847, 546, 345, 364, "open", "pg(21,25,14)?"], [847, 564, 381, 364, "open", ""], [847, 576, 380, 416, "open", ""], [847, 702, 581, 585, "open", ""], [847, 752, 666, 680, "open", ""], [848, 121, 24, 16, "open", ""], [848, 231, 70, 60, "open", ""], [848, 297, 96, 108, "open", ""], [848, 385, 156, 190, "open", "2-graph?"], [848, 418, 222, 190, "open", "2-graph?"], [848, 429, 200, 234, "open", "pg(11,38,6)?; 2-graph?"], [848, 462, 266, 234, "open", "2-graph?"], [848, 550, 360, 350, "open", ""], [848, 616, 444, 456, "open", ""], [848, 726, 620, 630, "open", ""], [849, 424, 211, 212, "impossible", "Conf"], [850, 261, 64, 87, "open", "pg(9,28,3)?"], [850, 336, 164, 112, "open", ""], [850, 513, 288, 342, "open", "pg(9,56,6)?"], [850, 588, 413, 392, "open", ""], [851, 306, 97, 117, "open", ""], [851, 360, 163, 144, "open", ""], [851, 490, 273, 294, "open", ""], [851, 544, 354, 336, "open", ""], [853, 426, 212, 213, "exists", "Paley(853); 2-graph*"], [855, 126, 21, 18, "open", "pg(14,8,2)?"], [855, 168, 20, 36, "open", ""], [855, 182, 37, 39, "open", "pg(14,12,3)?"], [855, 294, 93, 105, "open", "pg(14,20,5)?"], [855, 336, 150, 120, "open", ""], [855, 518, 301, 333, "open", "pg(14,36,9)?"], [855, 560, 370, 360, "open", ""], [855, 672, 528, 528, "open", ""], [855, 686, 553, 539, "open", ""], [855, 728, 619, 624, "open", ""], [856, 95, 6, 11, "open", ""], [856, 120, 21, 16, "open", "pg(15,7,2)?"], [856, 209, 72, 44, "open", ""], [856, 646, 480, 510, "open", ""], [856, 735, 630, 637, "open", ""], [856, 760, 675, 672, "open", ""], [857, 428, 213, 214, "exists", "Paley(857); 2-graph*"], [861, 80, 40, 4, "exists", "Triangular graph T(42)"], [861, 140, 31, 21, "open", "pg(20,6,3)?"], [861, 280, 105, 84, "open", ""], [861, 300, 103, 105, "open", "pg(20,14,7)?"], [861, 380, 163, 171, "open", "pg(20,18,9)?"], [861, 430, 214, 215, "impossible", "Conf"], [861, 480, 270, 264, "open", ""], [861, 560, 364, 364, "open", ""], [861, 580, 383, 406, "open", "pg(20,28,14)?"], [861, 720, 600, 612, "open", ""], [861, 780, 703, 741, "exists", "pg(20,38,19)?"], [865, 432, 215, 216, "open", "2-graph*?"], [867, 416, 190, 208, "open", "pg(16,25,8)?; 2-graph*?"], [867, 450, 241, 225, "open", "2-graph*?"], [868, 300, 110, 100, "open", "S(2,10,280)?"], [868, 408, 182, 200, "open", "2-graph?"], [868, 425, 216, 200, "open", "2-graph?"], [868, 442, 216, 234, "open", "2-graph?"], [868, 459, 250, 234, "open", "2-graph?"], [868, 567, 366, 378, "open", "pg(27,20,18)?"], [869, 434, 216, 217, "impossible", "Conf"], [870, 165, 36, 30, "open", ""], [870, 316, 161, 88, "impossible", "Absolute bound"], [870, 553, 324, 399, "impossible", "Absolute bound"], [870, 704, 568, 576, "open", ""], [871, 60, 5, 4, "open", ""], [871, 144, 22, 24, "open", "pg(12,11,2)?"], [871, 348, 137, 140, "open", ""], [871, 522, 313, 312, "open", ""], [871, 726, 605, 605, "open", ""], [871, 810, 753, 756, "open", ""], [872, 208, 54, 48, "open", ""], [872, 663, 502, 510, "open", ""], [873, 436, 217, 218, "open", "2-graph*?"], [875, 46, 9, 2, "impossible", "&mu;=2 (<a href=\"srgtabrefs.html#BrouwerNeumaier88\">Brouwer-Neumaier</a>)"], [875, 114, 13, 15, "open", ""], [875, 184, 33, 40, "open", ""], [875, 190, 45, 40, "open", ""], [875, 304, 78, 120, "open", ""], [875, 322, 105, 126, "open", ""], [875, 342, 145, 126, "open", ""], [875, 432, 210, 216, "open", "pg(24,17,12)?; 2-graph*?"], [875, 442, 225, 221, "open", "2-graph*?"], [875, 532, 315, 336, "open", "pg(19,27,12)?"], [875, 552, 355, 336, "open", ""], [875, 570, 385, 345, "open", ""], [875, 684, 533, 540, "open", ""], [875, 690, 545, 540, "open", ""], [875, 760, 660, 660, "open", ""], [875, 828, 783, 792, "impossible", ""], [876, 105, 38, 9, "exists", "S(2,3,73)"], [876, 280, 92, 88, "open", ""], [876, 420, 198, 204, "open", "2-graph?"], [876, 425, 208, 204, "open", "2-graph?"], [876, 450, 228, 234, "open", "2-graph?"], [876, 455, 238, 234, "open", "2-graph?"], [876, 595, 402, 408, "open", ""], [876, 770, 673, 704, "exists", ""], [877, 438, 218, 219, "exists", "Paley(877); 2-graph*"], [880, 270, 66, 90, "open", "pg(9,29,3)?"], [880, 294, 98, 98, "open", "pg(21,13,7)?"], [880, 585, 388, 390, "open", ""], [880, 609, 428, 406, "open", ""], [881, 440, 219, 220, "exists", "Paley(881); 2-graph*"], [885, 180, 3, 45, "impossible", "Krein2"], [885, 260, 55, 85, "open", ""], [885, 442, 220, 221, "impossible", "Conf"], [885, 624, 448, 420, "open", ""], [885, 704, 568, 528, "impossible", "Krein1"], [889, 222, 35, 62, "open", ""], [889, 288, 112, 84, "open", ""], [889, 444, 221, 222, "impossible", "Conf"], [889, 600, 395, 425, "open", ""], [889, 666, 505, 480, "open", ""], [891, 90, 9, 9, "exists", "Wallis (AR(9,1)+S(2,2,11)); GQ(10,8)"], [891, 290, 109, 87, "open", ""], [891, 320, 148, 96, "open", ""], [891, 390, 189, 156, "open", ""], [891, 500, 265, 300, "open", ""], [891, 570, 345, 399, "open", "pg(10,56,7)?"], [891, 600, 396, 420, "open", ""], [891, 800, 718, 720, "exists", ""], [893, 192, 16, 48, "impossible", "Krein2"], [893, 446, 222, 223, "impossible", "Conf"], [893, 700, 555, 525, "impossible", "Krein1"], [894, 304, 86, 112, "open", ""], [894, 589, 396, 372, "open", ""], [896, 180, 36, 36, "open", "pg(15,11,3)?"], [896, 220, 84, 44, "open", ""], [896, 385, 180, 154, "open", ""], [896, 510, 278, 306, "open", "pg(15,33,9)?"], [896, 675, 498, 540, "open", "pg(15,44,12)?"], [896, 715, 570, 572, "open", ""], [897, 126, 15, 18, "open", ""], [897, 448, 223, 224, "impossible", "Conf"], [897, 770, 661, 660, "open", ""], [899, 448, 222, 224, "exists", "pg(28,15,14)?; 2-graph*"], [899, 450, 225, 225, "exists", "S(2,15,435)?; 2-graph*"], [900, 58, 28, 2, "exists", "30<sup>2</sup>"], [900, 87, 30, 6, "exists", "OA(30,3)"], [900, 116, 34, 12, "exists", "OA(30,4)"], [900, 145, 40, 20, "exists", "OA(30,5)"], [900, 155, 10, 30, "open", ""], [900, 174, 48, 30, "exists", "OA(30,6)"], [900, 186, 24, 42, "open", ""], [900, 203, 34, 49, "open", ""], [900, 203, 58, 42, "open", "OA(30,7)?"], [900, 217, 40, 56, "open", ""], [900, 232, 70, 56, "open", "OA(30,8)?"], [900, 248, 58, 72, "open", ""], [900, 248, 79, 64, "open", "S(2,8,225)?"], [900, 261, 84, 72, "open", "OA(30,9)?"], [900, 279, 78, 90, "open", ""], [900, 290, 37, 120, "impossible", "Krein2; Absolute bound"], [900, 290, 100, 90, "open", "OA(30,10)?"], [900, 310, 100, 110, "open", ""], [900, 319, 118, 110, "open", "OA(30,11)?"], [900, 341, 34, 187, "impossible", "Krein2; Absolute bound"], [900, 341, 124, 132, "open", ""], [900, 348, 138, 132, "open", "OA(30,12)?"], [900, 372, 150, 156, "open", ""], [900, 377, 160, 156, "open", "OA(30,13)?"], [900, 403, 178, 182, "open", ""], [900, 406, 184, 182, "open", "OA(30,14)?"], [900, 434, 163, 252, "impossible", "Absolute bound"], [900, 434, 208, 210, "open", "RSHCD<sup>\u2013</sup>?; 2-graph?"], [900, 435, 210, 210, "exists", "OA(30,15)?; RSHCD<sup>+</sup>; 2-graph"], [900, 464, 238, 240, "exists", "OA(30,16)?; 2-graph"], [900, 465, 240, 240, "open", "2-graph?"], [900, 465, 282, 195, "impossible", "Absolute bound"], [900, 493, 268, 272, "open", "OA(30,17)?"], [900, 496, 274, 272, "open", ""], [900, 522, 300, 306, "open", "OA(30,18)?"], [900, 527, 310, 306, "open", ""], [900, 551, 334, 342, "open", "OA(30,19)?"], [900, 558, 348, 342, "open", ""], [900, 558, 403, 252, "impossible", "Krein1; Absolute bound"], [900, 580, 370, 380, "open", "OA(30,20)?"], [900, 589, 388, 380, "open", ""], [900, 609, 408, 420, "open", "OA(30,21)?"], [900, 609, 438, 357, "impossible", "Krein1; Absolute bound"], [900, 620, 430, 420, "open", ""], [900, 638, 448, 462, "open", "OA(30,22)?"], [900, 651, 466, 483, "open", ""], [900, 651, 474, 462, "open", ""], [900, 667, 490, 506, "open", "OA(30,23)?"], [900, 682, 520, 506, "open", ""], [900, 696, 534, 552, "open", "OA(30,24)?"], [900, 696, 541, 528, "open", ""], [900, 713, 568, 552, "open", ""], [900, 725, 580, 600, "exists", "OA(30,25)?"], [900, 744, 618, 600, "open", ""], [900, 754, 628, 650, "exists", "OA(30,26)?"], [900, 783, 678, 702, "exists", "OA(30,27)?"], [900, 812, 730, 756, "exists", "OA(30,28)?"], [900, 841, 784, 812, "exists", "OA(30,29)?"], [901, 60, 3, 4, "open", ""], [901, 200, 45, 44, "open", ""], [901, 224, 54, 56, "open", "pg(16,13,4)?"], [901, 252, 71, 70, "open", ""], [901, 450, 224, 225, "open", "2-graph*?"], [901, 648, 465, 468, "open", ""], [901, 676, 507, 507, "open", ""], [901, 700, 543, 546, "open", ""], [901, 840, 783, 784, "open", ""], [903, 82, 41, 4, "exists", "Triangular graph T(43)"], [903, 286, 89, 91, "open", ""], [903, 396, 165, 180, "open", ""], [903, 506, 289, 276, "open", ""], [903, 616, 420, 420, "open", ""], [903, 820, 741, 780, "exists", ""], [904, 301, 78, 111, "open", ""], [904, 378, 177, 144, "open", ""], [904, 525, 290, 325, "open", ""], [904, 602, 411, 380, "open", ""], [905, 452, 225, 226, "open", "2-graph*?"], [909, 454, 226, 227, "open", "2-graph*?"], [910, 189, 28, 42, "open", "pg(9,20,2)?"], [910, 405, 180, 180, "open", ""], [910, 504, 278, 280, "open", ""], [910, 720, 572, 560, "open", ""], [913, 192, 56, 36, "open", "S(2,6,166)?"], [913, 456, 227, 228, "impossible", "Conf"], [913, 720, 563, 585, "open", ""], [917, 458, 228, 229, "impossible", "Conf"], [918, 392, 166, 168, "open", ""], [918, 525, 300, 300, "open", ""], [921, 460, 229, 230, "impossible", "Conf"], [923, 432, 186, 216, "open", "pg(12,35,6)?; 2-graph*?"], [923, 490, 273, 245, "open", "2-graph*?"], [924, 142, 20, 22, "open", ""], [924, 143, 22, 22, "open", "pg(13,10,2)?"], [924, 208, 42, 48, "open", "pg(13,15,3)?"], [924, 273, 72, 84, "open", "pg(13,20,4)?"], [924, 312, 76, 120, "open", ""], [924, 426, 180, 210, "open", "2-graph?"], [924, 455, 238, 210, "open", "2-graph?"], [924, 468, 222, 252, "open", "pg(13,35,7)?; 2-graph?"], [924, 497, 280, 252, "open", "2-graph?"], [924, 611, 418, 376, "open", ""], [924, 650, 460, 450, "open", ""], [924, 715, 554, 550, "open", ""], [924, 780, 658, 660, "open", ""], [924, 781, 660, 660, "open", ""], [925, 108, 39, 9, "exists", "S(2,3,75)"], [925, 154, 3, 30, "impossible", "Krein2"], [925, 220, 75, 45, "open", ""], [925, 252, 115, 51, "impossible", "Absolute bound"], [925, 330, 95, 130, "open", ""], [925, 336, 104, 132, "open", ""], [925, 374, 123, 170, "open", ""], [925, 378, 143, 162, "open", "pg(14,26,6)?"], [925, 384, 158, 160, "open", "pg(24,15,10)?"], [925, 448, 192, 240, "open", ""], [925, 462, 230, 231, "open", "2-graph*?"], [925, 476, 267, 221, "open", ""], [925, 540, 315, 315, "open", ""], [925, 546, 329, 312, "open", ""], [925, 550, 345, 300, "open", ""], [925, 588, 383, 357, "open", ""], [925, 594, 393, 360, "open", ""], [925, 672, 470, 536, "impossible", "Absolute bound"], [925, 704, 528, 560, "open", ""], [925, 770, 645, 620, "impossible", "Krein1"], [925, 816, 716, 748, "exists", "pg(24,33,22)?"], [928, 300, 90, 100, "open", "pg(15,19,5)?"], [928, 441, 224, 196, "open", ""], [928, 486, 240, 270, "open", ""], [928, 627, 426, 418, "open", ""], [929, 464, 231, 232, "exists", "Paley(929); 2-graph*"], [931, 120, 11, 16, "open", ""], [931, 138, 5, 23, "open", ""], [931, 162, 33, 27, "open", "pg(18,8,3)?"], [931, 180, 29, 36, "open", ""], [931, 248, 60, 68, "open", ""], [931, 280, 84, 84, "open", ""], [931, 372, 143, 152, "open", ""], [931, 390, 173, 156, "open", ""], [931, 450, 241, 195, "open", ""], [931, 480, 224, 272, "open", ""], [931, 540, 305, 324, "open", "pg(20,26,12)?"], [931, 558, 337, 330, "open", ""], [931, 650, 453, 455, "open", ""], [931, 682, 501, 495, "open", ""], [931, 750, 605, 600, "open", ""], [931, 768, 632, 640, "open", ""], [931, 792, 676, 660, "open", ""], [931, 810, 705, 702, "open", ""], [933, 466, 232, 233, "impossible", "Conf"], [935, 448, 204, 224, "open", "pg(16,27,8)?; 2-graph*?"], [935, 486, 261, 243, "open", "2-graph*?"], [936, 102, 3, 12, "open", ""], [936, 110, 4, 14, "open", ""], [936, 187, 18, 42, "open", ""], [936, 200, 52, 40, "open", "pg(25,7,5)?"], [936, 220, 24, 60, "impossible", "Krein2"], [936, 220, 50, 52, "open", ""], [936, 221, 52, 52, "open", "pg(17,12,4)?"], [936, 231, 102, 42, "impossible", "Absolute bound"], [936, 255, 30, 84, "impossible", "Krein2"], [936, 255, 78, 66, "open", ""], [936, 330, 120, 114, "open", ""], [936, 374, 157, 144, "open", ""], [936, 374, 184, 126, "open", ""], [936, 375, 150, 150, "exists", "<a href=\"srgtabrefs.html#JankoKharaghani02\">Janko-Kharaghani</a>; pg(25,14,10)?"], [936, 396, 150, 180, "open", "pg(11,35,5)?"], [936, 425, 184, 200, "open", "pg(17,24,8)?"], [936, 440, 196, 216, "open", "2-graph?"], [936, 459, 234, 216, "open", "2-graph?"], [936, 476, 232, 252, "open", "pg(17,27,9)?; 2-graph?"], [936, 495, 270, 252, "open", "2-graph?"], [936, 510, 284, 270, "open", ""], [936, 539, 322, 294, "open", ""], [936, 560, 334, 336, "exists", ""], [936, 561, 312, 372, "open", ""], [936, 561, 330, 345, "open", ""], [936, 605, 388, 396, "open", ""], [936, 680, 490, 504, "open", ""], [936, 680, 508, 456, "impossible", "Krein1"], [936, 704, 514, 576, "impossible", "Absolute bound"], [936, 714, 544, 546, "open", ""], [936, 715, 546, 546, "open", ""], [936, 715, 554, 520, "impossible", "Krein1"], [936, 735, 574, 588, "open", ""], [936, 748, 602, 580, "open", ""], [936, 825, 728, 720, "open", ""], [936, 833, 742, 735, "open", ""], [937, 468, 233, 234, "exists", "Paley(937); 2-graph*"], [941, 470, 234, 235, "exists", "Paley(941); 2-graph*"], [945, 64, 8, 4, "open", ""], [945, 112, 7, 14, "open", ""], [945, 118, 19, 14, "open", ""], [945, 176, 31, 33, "open", ""], [945, 256, 40, 80, "impossible", "Krein2"], [945, 304, 103, 95, "open", ""], [945, 320, 85, 120, "open", "pg(8,39,3)?"], [945, 354, 153, 120, "open", ""], [945, 384, 138, 168, "open", ""], [945, 432, 207, 189, "open", ""], [945, 460, 217, 230, "open", "pg(20,22,10)?; 2-graph*?"], [945, 472, 235, 236, "impossible", "Conf"], [945, 484, 253, 242, "open", "2-graph*?"], [945, 512, 268, 288, "open", ""], [945, 560, 343, 315, "open", ""], [945, 590, 355, 390, "open", ""], [945, 624, 423, 390, "open", ""], [945, 640, 430, 440, "open", ""], [945, 688, 511, 473, "impossible", "Krein1"], [945, 768, 624, 624, "open", ""], [945, 826, 721, 728, "open", ""], [945, 832, 733, 728, "open", ""], [945, 880, 819, 825, "open", ""], [946, 84, 42, 4, "exists", "Triangular graph T(44)"], [946, 243, 60, 63, "open", ""], [946, 273, 80, 78, "open", "pg(21,12,6)?"], [946, 360, 138, 136, "open", ""], [946, 450, 207, 220, "open", "2-graph?"], [946, 462, 231, 220, "open", "2-graph?"], [946, 483, 240, 253, "open", "pg(21,22,11)?; 2-graph?"], [946, 495, 264, 253, "open", "2-graph?"], [946, 585, 360, 364, "open", ""], [946, 672, 476, 480, "open", ""], [946, 702, 521, 520, "open", ""], [946, 861, 780, 820, "exists", "pg(21,40,20)?"], [949, 84, 11, 7, "open", ""], [949, 474, 236, 237, "open", "2-graph*?"], [949, 864, 786, 792, "open", ""], [950, 312, 115, 96, "open", ""], [950, 364, 138, 140, "open", ""], [950, 585, 360, 360, "open", ""], [950, 637, 420, 441, "open", ""], [952, 351, 150, 117, "open", ""], [952, 600, 365, 400, "open", "pg(15,39,10)?"], [953, 476, 237, 238, "exists", "Paley(953); 2-graph*"], [957, 256, 80, 64, "exists", "S(2,8,232)"], [957, 478, 238, 239, "impossible", "Conf"], [957, 700, 507, 525, "exists", "pg(28,24,21)"], [960, 126, 6, 18, "open", ""], [960, 137, 28, 18, "open", ""], [960, 154, 38, 22, "open", ""], [960, 245, 40, 70, "open", "pg(7,34,2)?"], [960, 273, 76, 78, "open", ""], [960, 274, 98, 70, "open", ""], [960, 364, 108, 156, "open", "pg(7,51,3)?"], [960, 392, 148, 168, "open", "pg(14,27,6)?"], [960, 567, 342, 324, "open", ""], [960, 595, 386, 340, "open", ""], [960, 685, 480, 510, "open", ""], [960, 686, 490, 490, "open", ""], [960, 714, 538, 510, "open", ""], [960, 805, 672, 690, "open", ""], [960, 822, 702, 714, "open", ""], [960, 833, 724, 714, "open", ""], [961, 60, 29, 2, "exists", "31<sup>2</sup>"], [961, 90, 31, 6, "exists", "OA(31,3)"], [961, 120, 35, 12, "exists", "OA(31,4)"], [961, 150, 41, 20, "exists", "OA(31,5)"], [961, 160, 9, 30, "open", ""], [961, 180, 49, 30, "exists", "OA(31,6)"], [961, 192, 23, 42, "open", ""], [961, 210, 59, 42, "exists", "OA(31,7)"], [961, 224, 39, 56, "open", ""], [961, 240, 71, 56, "exists", "OA(31,8)"], [961, 256, 57, 72, "open", ""], [961, 270, 85, 72, "exists", "OA(31,9)"], [961, 288, 77, 90, "open", ""], [961, 300, 101, 90, "exists", "OA(31,10)"], [961, 312, 41, 130, "impossible", "Krein2; Absolute bound"], [961, 320, 99, 110, "open", ""], [961, 330, 119, 110, "exists", "OA(31,11)"], [961, 352, 123, 132, "open", ""], [961, 360, 139, 132, "exists", "OA(31,12)"], [961, 384, 149, 156, "open", ""], [961, 390, 161, 156, "exists", "OA(31,13)"], [961, 416, 177, 182, "open", ""], [961, 420, 185, 182, "exists", "OA(31,14)"], [961, 448, 207, 210, "open", ""], [961, 450, 211, 210, "exists", "OA(31,15); <a href=\"srgtabrefs.html#Pasechnik92\">Pasechnik(31)</a>"], [961, 480, 239, 240, "exists", "Paley(961); OA(31,16); 2-graph*"], [961, 510, 269, 272, "exists", "OA(31,17)"], [961, 512, 273, 272, "open", ""], [961, 540, 301, 306, "exists", "OA(31,18)"], [961, 544, 309, 306, "open", ""], [961, 570, 335, 342, "exists", "OA(31,19)"], [961, 576, 347, 342, "open", ""], [961, 600, 371, 380, "exists", "OA(31,20)"], [961, 608, 387, 380, "open", ""], [961, 630, 409, 420, "exists", "OA(31,21)"], [961, 640, 429, 420, "open", ""], [961, 648, 465, 378, "impossible", "Krein1; Absolute bound"], [961, 660, 449, 462, "exists", "OA(31,22)"], [961, 672, 473, 462, "open", ""], [961, 690, 491, 506, "exists", "OA(31,23)"], [961, 704, 519, 506, "open", ""], [961, 720, 535, 552, "exists", "OA(31,24)"], [961, 736, 567, 552, "open", ""], [961, 750, 581, 600, "exists", "OA(31,25)"], [961, 768, 617, 600, "open", ""], [961, 780, 629, 650, "exists", "OA(31,26)"], [961, 800, 669, 650, "open", ""], [961, 810, 679, 702, "exists", "OA(31,27)"], [961, 840, 731, 756, "exists", "OA(31,28)"], [961, 870, 785, 812, "exists", "OA(31,29)"], [961, 900, 841, 870, "exists", "OA(31,30)"], [962, 465, 224, 225, "exists", "switch OA(31,16)+*; switch skewhad<sup>2</sup>+*; 2-graph"], [962, 496, 255, 256, "exists", "S(2,16,481)?; 2-graph"], [965, 482, 240, 241, "open", "2-graph*?"], [966, 405, 180, 162, "open", ""], [966, 560, 316, 336, "open", "pg(20,27,12)?"], [969, 176, 13, 36, "open", ""], [969, 198, 57, 36, "exists", "S(2,6,171)"], [969, 392, 175, 147, "open", ""], [969, 484, 241, 242, "impossible", "Conf"], [969, 576, 330, 360, "open", "pg(16,35,10)?"], [969, 770, 607, 630, "exists", ""], [969, 792, 651, 630, "open", ""], [970, 380, 162, 140, "open", ""], [970, 589, 348, 372, "open", ""], [973, 272, 96, 68, "open", ""], [973, 486, 242, 243, "impossible", "Conf"], [973, 700, 495, 525, "open", ""], [975, 462, 205, 231, "exists", "pg(14,32,7)?; 2-graph*"], [975, 512, 280, 256, "exists", "2-graph*"], [976, 117, 28, 12, "open", ""], [976, 195, 2, 48, "impossible", "Krein2"], [976, 273, 92, 70, "open", ""], [976, 300, 128, 76, "open", ""], [976, 455, 198, 224, "open", "2-graph?"], [976, 480, 248, 224, "exists", "Wallis (AR(2,4)+S(2,5,61)); 2-graph"], [976, 495, 238, 264, "exists", "Goethals-Seidel(5,15); pg(15,32,8)?; 2-graph"], [976, 520, 288, 264, "open", "2-graph?"], [976, 675, 450, 504, "open", ""], [976, 702, 498, 522, "open", ""], [976, 780, 632, 588, "impossible", "Krein1"], [976, 858, 752, 770, "open", ""], [977, 488, 243, 244, "exists", "Paley(977); 2-graph*"], [980, 88, 6, 8, "open", ""], [980, 99, 18, 9, "open", ""], [980, 178, 60, 26, "open", ""], [980, 264, 68, 72, "open", ""], [980, 267, 74, 72, "open", ""], [980, 297, 48, 108, "impossible", "Krein2"], [980, 385, 168, 140, "open", ""], [980, 418, 264, 114, "impossible", "Absolute bound"], [980, 429, 178, 195, "open", ""], [980, 445, 210, 195, "open", ""], [980, 534, 283, 300, "open", ""], [980, 550, 315, 300, "open", ""], [980, 561, 256, 408, "impossible", "Absolute bound"], [980, 594, 348, 378, "open", ""], [980, 682, 492, 434, "impossible", "Krein1"], [980, 712, 516, 520, "open", ""], [980, 715, 522, 520, "open", ""], [980, 801, 648, 684, "open", ""], [980, 880, 789, 800, "open", ""], [980, 891, 810, 810, "open", ""], [981, 140, 43, 16, "exists", "S(2,4,109)"], [981, 340, 115, 119, "open", ""], [981, 392, 133, 172, "open", ""], [981, 480, 254, 216, "open", ""], [981, 490, 244, 245, "open", "2-graph*?"], [981, 500, 235, 275, "open", ""], [981, 588, 367, 330, "open", ""], [981, 640, 418, 416, "open", ""], [981, 840, 715, 744, "exists", ""], [985, 492, 245, 246, "open", "2-graph*?"], [986, 180, 18, 36, "open", ""], [986, 805, 660, 644, "open", ""], [987, 170, 49, 25, "exists", "S(2,5,141)"], [987, 816, 670, 696, "exists", ""], [988, 140, 18, 20, "open", ""], [988, 847, 726, 726, "open", ""], [989, 484, 231, 242, "open", "pg(22,21,11)?; 2-graph*?"], [989, 494, 246, 247, "impossible", "Conf"], [989, 504, 261, 252, "open", "2-graph*?"], [990, 86, 43, 4, "exists", "Triangular graph T(45)"], [990, 344, 118, 120, "open", ""], [990, 345, 120, 120, "open", ""], [990, 368, 124, 144, "open", ""], [990, 473, 220, 231, "open", "2-graph?"], [990, 483, 240, 231, "open", "2-graph?"], [990, 506, 253, 264, "open", "2-graph?"], [990, 516, 273, 264, "open", "2-graph?"], [990, 621, 396, 378, "open", ""], [990, 644, 418, 420, "open", ""], [990, 645, 420, 420, "open", ""], [990, 903, 820, 861, "exists", ""], [993, 310, 89, 100, "open", ""], [993, 352, 131, 121, "open", "S(2,11,331)?"], [993, 496, 247, 248, "impossible", "Conf"], [993, 640, 408, 420, "open", ""], [993, 682, 471, 462, "open", ""], [997, 498, 248, 249, "exists", "Paley(997); 2-graph*"], [999, 448, 172, 224, "open", "pg(8,55,4)?; 2-graph*?"], [999, 550, 325, 275, "open", "2-graph*?"], [1000, 108, 8, 12, "open", ""], [1000, 111, 14, 12, "open", ""], [1000, 117, 18, 13, "open", ""], [1000, 185, 30, 35, "open", ""], [1000, 189, 38, 35, "open", ""], [1000, 198, 108, 22, "impossible", "Absolute bound"], [1000, 207, 30, 46, "open", "pg(9,22,2)?"], [1000, 222, 60, 46, "open", ""], [1000, 243, 18, 72, "impossible", "Krein2"], [1000, 270, 80, 70, "open", ""], [1000, 333, 108, 112, "open", ""], [1000, 336, 114, 112, "open", "pg(24,13,8)?"], [1000, 405, 140, 180, "open", "pg(9,44,4)?"], [1000, 407, 150, 176, "open", ""], [1000, 432, 200, 176, "open", ""], [1000, 444, 168, 220, "open", "2-graph?"], [1000, 444, 218, 180, "open", ""], [1000, 486, 219, 252, "open", ""], [1000, 495, 270, 220, "open", "2-graph?"], [1000, 504, 228, 280, "open", "pg(9,55,5)?; 2-graph?"], [1000, 513, 278, 247, "open", ""], [1000, 555, 290, 330, "open", ""], [1000, 555, 330, 280, "open", "2-graph?"], [1000, 567, 310, 336, "open", ""], [1000, 592, 360, 336, "open", ""], [1000, 594, 368, 330, "open", ""], [1000, 663, 438, 442, "open", ""], [1000, 666, 444, 442, "open", ""], [1000, 729, 528, 540, "open", ""], [1000, 756, 584, 532, "impossible", "Krein1"], [1000, 777, 600, 616, "open", ""], [1000, 792, 630, 616, "open", ""], [1000, 801, 624, 712, "impossible", "Absolute bound"], [1000, 810, 655, 660, "open", ""], [1000, 814, 663, 660, "open", ""], [1000, 882, 777, 784, "open", ""], [1000, 888, 788, 792, "open", ""], [1000, 891, 794, 792, "open", ""], [1001, 136, 27, 17, "open", ""], [1001, 150, 13, 24, "open", ""], [1001, 160, 12, 28, "open", ""], [1001, 280, 63, 84, "open", "pg(10,27,3)?"], [1001, 300, 103, 84, "open", ""], [1001, 384, 152, 144, "open", "S(2,12,364)?"], [1001, 450, 207, 198, "open", ""], [1001, 500, 249, 250, "impossible", "Conf"], [1001, 550, 297, 308, "open", "pg(25,21,14)?"], [1001, 616, 375, 385, "open", ""], [1001, 700, 483, 504, "open", "pg(25,27,18)?"], [1001, 720, 523, 504, "open", ""], [1001, 840, 707, 693, "open", ""], [1001, 850, 723, 714, "open", ""], [1001, 864, 744, 756, "open", ""], [1003, 300, 65, 100, "open", ""], [1003, 702, 501, 468, "open", ""], [1005, 502, 250, 251, "impossible", "Conf"], [1007, 486, 225, 243, "open", "pg(18,26,9)?; 2-graph*?"], [1007, 520, 276, 260, "open", "2-graph*?"], [1008, 57, 6, 3, "open", ""], [1008, 152, 16, 24, "open", ""], [1008, 159, 30, 24, "open", ""], [1008, 265, 68, 70, "open", ""], [1008, 266, 70, 70, "open", ""], [1008, 342, 96, 126, "open", ""], [1008, 371, 154, 126, "open", ""], [1008, 456, 194, 216, "open", ""], [1008, 475, 250, 200, "open", ""], [1008, 477, 216, 234, "open", "2-graph?"], [1008, 494, 250, 234, "open", "2-graph?"], [1008, 513, 252, 270, "open", "2-graph?"], [1008, 530, 286, 270, "open", "2-graph?"], [1008, 532, 256, 308, "open", ""], [1008, 551, 310, 290, "open", ""], [1008, 636, 390, 420, "open", ""], [1008, 665, 448, 420, "open", ""], [1008, 741, 544, 546, "open", ""], [1008, 742, 546, 546, "open", ""], [1008, 848, 712, 720, "open", ""], [1008, 855, 726, 720, "open", ""], [1008, 950, 895, 900, "open", ""], [1009, 504, 251, 252, "exists", "Paley(1009); 2-graph*"], [1012, 336, 110, 112, "open", "pg(21,15,7)?"], [1012, 675, 450, 450, "open", ""], [1013, 506, 252, 253, "exists", "Paley(1013); 2-graph*"], [1015, 150, 5, 25, "open", ""], [1015, 182, 21, 35, "open", ""], [1015, 312, 113, 88, "open", ""], [1015, 702, 477, 504, "open", ""], [1015, 832, 684, 672, "open", ""], [1015, 864, 738, 720, "open", ""], [1016, 259, 42, 74, "open", "pg(7,36,2)?"], [1016, 756, 570, 540, "open", ""], [1017, 344, 91, 129, "open", "pg(8,42,3)?"], [1017, 508, 253, 254, "open", "2-graph*?"], [1017, 672, 456, 420, "open", ""], [1021, 510, 254, 255, "exists", "Paley(1021); 2-graph*"], [1023, 336, 90, 120, "open", ""], [1023, 510, 253, 255, "exists", "\tO(11,2) Sp(10,2); pg(30,16,15); 2-graph*"], [1023, 512, 256, 256, "exists", "S(2,16,496); 2-graph*"], [1023, 686, 469, 441, "open", ""], [1024, 62, 30, 2, "exists", "32<sup>2</sup>; from a partial spread of 5-spaces: projective binary [62,10] code with weights 16, 32"], [1024, 93, 32, 6, "exists", "OA(32,3); Bilin<sub>2x5</sub>(2); from a  Baer subspace: projective 4-ary [31,5] code with weights 16, 24; from a partial spread of 5-spaces: projective binary [93,10] code with weights 32, 48"], [1024, 124, 36, 12, "exists", "OA(32,4); from a partial spread of 5-spaces: projective binary [124,10] code with weights 48, 64"], [1024, 155, 42, 20, "exists", "OA(32,5); from a partial spread of 5-spaces: projective binary [155,10] code with weights 64, 80"], [1024, 165, 8, 30, "open", ""], [1024, 186, 50, 30, "exists", "OA(32,6); from a partial spread of Baer subspaces: projective 4-ary [62,5] code with weights 40, 48; from a partial spread of 5-spaces: projective binary [186,10] code with weights 80, 96"], [1024, 198, 22, 42, "exists", "<a href=\"srgtabrefs.html#Kohnert07\">Kohnert</a>: projective binary [198,10] code with weights 96, 112"], [1024, 217, 60, 42, "exists", "OA(32,7); from a partial spread of 5-spaces: projective binary [217,10] code with weights 96, 112"], [1024, 231, 38, 56, "exists", "<a href=\"srgtabrefs.html#Polhill09\">Polhill</a>; <a href=\"srgtabrefs.html#Dissett00\">Dissett</a>: projective 4-ary [77,5] code with weights 56, 64"], [1024, 248, 72, 56, "exists", "OA(32,8); from a partial spread of 5-spaces: projective binary [248,10] code with weights 112, 128"], [1024, 264, 56, 72, "exists", "<a href=\"srgtabrefs.html#Polhill09\">Polhill</a>; pg(11,23,3)?"], [1024, 279, 86, 72, "exists", "OA(32,9); from a partial spread of Baer subspaces: projective 4-ary [93,5] code with weights 64, 72; from a partial spread of 5-spaces: projective binary [279,10] code with weights 128, 144"], [1024, 297, 76, 90, "exists", "<a href=\"srgtabrefs.html#Polhill09\">Polhill</a>; <a href=\"srgtabrefs.html#Dissett00\">Dissett</a>: projective 4-ary [99,5] code with weights 72, 80"], [1024, 310, 102, 90, "exists", "OA(32,10); from a partial spread of 5-spaces: projective binary [310,10] code with weights 144, 160"], [1024, 330, 98, 110, "exists", "<a href=\"srgtabrefs.html#Polhill08\">Polhill</a>; pg(15,21,5)?; <a href=\"srgtabrefs.html#Dissett00\">Dissett</a>: projective 4-ary [110,5] code with weights 80, 88; Momihara: projective binary [330,10] code with weights 160, 176"], [1024, 341, 120, 110, "exists", "OA(32,11); from a partial spread of 5-spaces: projective binary [341,10] code with weights 160, 176"], [1024, 341, 168, 86, "impossible", "Absolute bound"], [1024, 363, 122, 132, "exists", "<a href=\"srgtabrefs.html#Dissett00\">Dissett</a>: projective 4-ary [121,5] code with weights 88, 96"], [1024, 372, 140, 132, "exists", "OA(32,12); from a partial spread of Baer subspaces: projective 4-ary [124,5] code with weights 88, 96; from a partial spread of 5-spaces: projective binary [372,10] code with weights 176, 192"], [1024, 378, 162, 126, "open", ""], [1024, 385, 36, 210, "impossible", "Krein2; Absolute bound"], [1024, 396, 148, 156, "exists", "<a href=\"srgtabrefs.html#Dissett00\">Dissett</a>: projective 4-ary [132,5] code with weights 96, 104"], [1024, 403, 162, 156, "exists", "OA(32,13); from a partial spread of 5-spaces: projective binary [403,10] code with weights 192, 208"], [1024, 429, 176, 182, "exists", "<a href=\"srgtabrefs.html#Dissett00\">Dissett</a>: projective 4-ary [143,5] code with weights 104, 112"], [1024, 434, 186, 182, "exists", "OA(32,14); from a partial spread of 5-spaces: projective binary [434,10] code with weights 208, 224"], [1024, 462, 206, 210, "exists", "<a href=\"srgtabrefs.html#Dissett00\">Dissett</a>: projective 4-ary [154,5] code with weights 112, 120"], [1024, 465, 212, 210, "exists", "OA(32,15); from a partial spread of Baer subspaces: projective 4-ary [155,5] code with weights 112, 120; <a href=\"srgtabrefs.html#Brouwer85\">Brouwer</a>(q=2,d=2,e=5,+); from a partial spread of 5-spaces: projective binary [465,10] code with weights 224, 240"], [1024, 495, 238, 240, "exists", "CK - RT3: projective 4-ary [165,5] code with weights 120, 128; VO<sup>\u2013</sup>(10,2) affine polar graph; RSHCD<sup>\u2013</sup>; 2-graph"], [1024, 496, 240, 240, "exists", "OA(32,16); Wallis (AR(2,8)+S(2,2,32)); from a partial spread of 5-spaces: projective binary [496,10] code with weights 240, 256; RSHCD<sup>+</sup>; 2-graph"], [1024, 527, 270, 272, "exists", "OA(32,17); Wallis2 (AR(2,8)+S(2,2,32)); Goethals-Seidel(2,31); VO<sup>+</sup>(10,2) affine polar graph; 2-graph"], [1024, 528, 272, 272, "exists", "from 2-(32,2,1) with 1-factor <a href=\"srgtabrefs.html#Fickus_et_al15\">Fickus et al.</a>; 2-graph"], [1024, 558, 302, 306, "exists", "OA(32,18)"], [1024, 561, 308, 306, "exists", ""], [1024, 589, 336, 342, "exists", "OA(32,19)"], [1024, 594, 346, 342, "exists", ""], [1024, 620, 372, 380, "exists", "OA(32,20)"], [1024, 627, 386, 380, "exists", ""], [1024, 638, 462, 290, "impossible", "Krein1; Absolute bound"], [1024, 645, 392, 430, "open", "pg(15,42,10)?"], [1024, 651, 410, 420, "exists", "OA(32,21)"], [1024, 660, 428, 420, "exists", ""], [1024, 682, 426, 510, "impossible", "Absolute bound"], [1024, 682, 450, 462, "exists", "OA(32,22); Momihara"], [1024, 693, 472, 462, "exists", ""], [1024, 713, 492, 506, "exists", "OA(32,23)"], [1024, 726, 518, 506, "exists", ""], [1024, 744, 536, 552, "exists", "OA(32,24)"], [1024, 759, 566, 552, "exists", ""], [1024, 775, 582, 600, "exists", "OA(32,25)"], [1024, 792, 616, 600, "exists", ""], [1024, 806, 630, 650, "exists", "OA(32,26)"], [1024, 825, 668, 650, "exists", ""], [1024, 837, 680, 702, "exists", "OA(32,27)"], [1024, 858, 722, 702, "open", ""], [1024, 868, 732, 756, "exists", "OA(32,28)"], [1024, 899, 786, 812, "exists", "OA(32,29)"], [1024, 930, 842, 870, "exists", "OA(32,30)"], [1024, 961, 900, 930, "exists", "OA(32,31)"], [1025, 512, 255, 256, "open", "2-graph*?"], [1026, 205, 28, 44, "open", ""], [1026, 220, 58, 44, "open", ""], [1026, 325, 100, 104, "open", ""], [1026, 369, 144, 126, "open", ""], [1026, 385, 128, 154, "open", ""], [1026, 400, 124, 176, "open", ""], [1026, 420, 177, 168, "open", ""], [1026, 451, 212, 187, "open", ""], [1026, 574, 309, 336, "open", ""], [1026, 605, 352, 363, "open", ""], [1026, 625, 400, 350, "open", ""], [1026, 640, 408, 384, "open", ""], [1026, 656, 412, 432, "open", ""], [1026, 700, 478, 476, "open", ""], [1026, 805, 628, 644, "open", ""], [1026, 820, 658, 644, "open", ""], [1027, 114, 41, 9, "exists", "S(2,3,79)"], [1027, 342, 81, 130, "open", ""], [1027, 450, 225, 175, "open", ""], [1027, 576, 300, 352, "open", ""], [1027, 684, 471, 424, "open", ""], [1027, 912, 806, 840, "exists", ""], [1029, 260, 67, 65, "open", "pg(20,12,5)?"], [1029, 288, 102, 72, "open", ""], [1029, 500, 235, 250, "open", "pg(20,24,10)?; 2-graph*?"], [1029, 514, 256, 257, "impossible", "Conf"], [1029, 528, 277, 264, "open", "2-graph*?"], [1029, 740, 523, 555, "open", "pg(20,36,15)?"], [1029, 768, 572, 576, "open", ""], [1030, 490, 225, 240, "open", "2-graph?"], [1030, 504, 253, 240, "open", "2-graph?"], [1030, 525, 260, 275, "open", "2-graph?"], [1030, 539, 288, 275, "open", "2-graph?"], [1033, 516, 257, 258, "exists", "Paley(1033); 2-graph*"], [1035, 88, 44, 4, "exists", "Triangular graph T(46)"], [1035, 330, 105, 105, "open", "pg(22,14,7)?"], [1035, 440, 196, 180, "open", ""], [1035, 462, 201, 210, "open", "pg(22,20,10)?"], [1035, 490, 217, 245, "open", "pg(14,34,7)?; 2-graph*?"], [1035, 544, 298, 272, "open", "2-graph*?"], [1035, 572, 319, 312, "open", ""], [1035, 594, 333, 351, "open", "pg(22,26,13)?"], [1035, 704, 478, 480, "open", ""], [1035, 946, 861, 903, "exists", "pg(22,42,21)?"], [1036, 144, 44, 16, "exists", "S(2,4,112)"], [1036, 230, 33, 56, "open", ""], [1036, 285, 84, 76, "open", ""], [1036, 375, 110, 150, "open", ""], [1036, 405, 138, 171, "open", ""], [1036, 483, 210, 238, "open", "2-graph?"], [1036, 483, 242, 210, "open", ""], [1036, 510, 264, 238, "open", "2-graph?"], [1036, 525, 252, 280, "open", "2-graph?"], [1036, 552, 278, 312, "open", ""], [1036, 552, 306, 280, "open", "2-graph?"], [1036, 630, 395, 364, "open", ""], [1036, 660, 434, 396, "open", ""], [1036, 750, 540, 550, "open", ""], [1036, 805, 630, 609, "open", ""], [1036, 891, 762, 792, "exists", "pg(27,32,24)?"], [1037, 518, 258, 259, "open", "2-graph*?"], [1041, 336, 115, 105, "open", ""], [1041, 520, 259, 260, "impossible", "Conf"], [1041, 704, 472, 484, "open", "S(2,22,694)?"], [1044, 168, 42, 24, "open", "pg(28,5,4) does not exist (Absolute bound for line graph)"], [1044, 175, 50, 25, "exists", "S(2,5,145)"], [1044, 868, 717, 744, "exists", "pg(28,30,24)?"], [1044, 875, 730, 750, "open", ""], [1045, 234, 53, 52, "open", "pg(18,12,4)?"], [1045, 260, 63, 65, "open", ""], [1045, 276, 83, 69, "open", ""], [1045, 290, 81, 80, "open", ""], [1045, 324, 123, 90, "open", ""], [1045, 384, 108, 160, "open", ""], [1045, 396, 143, 154, "open", "pg(18,21,7)?"], [1045, 522, 260, 261, "impossible", "Conf"], [1045, 648, 405, 396, "open", ""], [1045, 660, 435, 385, "open", ""], [1045, 720, 485, 520, "open", "pg(18,39,13)?"], [1045, 754, 543, 546, "open", ""], [1045, 768, 560, 576, "open", "S(2,24,760)?"], [1045, 784, 588, 588, "open", ""], [1045, 810, 627, 630, "open", ""], [1049, 524, 261, 262, "exists", "Paley(1049); 2-graph*"], [1053, 240, 36, 60, "open", "pg(8,29,2)?"], [1053, 252, 51, 63, "open", "pg(12,20,3)?"], [1053, 526, 262, 263, "open", "2-graph*?"], [1053, 800, 610, 600, "open", ""], [1053, 812, 631, 609, "open", ""], [1054, 363, 132, 121, "open", "S(2,11,341)?"], [1054, 441, 168, 196, "open", ""], [1054, 612, 366, 340, "open", ""], [1054, 690, 447, 460, "open", "pg(30,22,20)?"], [1055, 186, 17, 36, "open", ""], [1055, 238, 69, 49, "open", "S(2,7,211)?"], [1055, 816, 626, 648, "open", ""], [1055, 868, 717, 700, "open", ""], [1056, 180, 4, 36, "impossible", "Krein2"], [1056, 210, 40, 42, "open", "pg(15,13,3)?"], [1056, 405, 144, 162, "open", "pg(15,26,6)?"], [1056, 650, 406, 390, "open", ""], [1056, 845, 676, 676, "open", ""], [1056, 875, 730, 700, "impossible", "Krein1"], [1057, 528, 263, 264, "impossible", "Conf"], [1058, 147, 16, 21, "open", ""], [1058, 151, 24, 21, "open", ""], [1058, 364, 165, 104, "open", ""], [1058, 420, 146, 180, "open", ""], [1058, 453, 212, 180, "open", ""], [1058, 604, 330, 364, "open", ""], [1058, 637, 396, 364, "open", ""], [1058, 693, 432, 495, "open", ""], [1058, 906, 775, 780, "open", ""], [1058, 910, 783, 780, "open", ""], [1060, 324, 78, 108, "open", "pg(9,35,3)?"], [1060, 735, 518, 490, "open", ""], [1061, 530, 264, 265, "exists", "Paley(1061); 2-graph*"], [1065, 266, 103, 54, "open", ""], [1065, 364, 113, 130, "open", "pg(14,25,5)?"], [1065, 416, 172, 156, "open", ""], [1065, 532, 265, 266, "impossible", "Conf"], [1065, 648, 387, 405, "open", ""], [1065, 700, 465, 450, "open", ""], [1065, 798, 585, 636, "open", ""], [1066, 336, 92, 112, "exists", "O<sup>\u2013</sup>(8,3) polar graph; pg(12,27,4)?"], [1066, 729, 504, 486, "exists", ""], [1067, 208, 42, 40, "open", ""], [1067, 858, 689, 693, "open", ""], [1068, 275, 58, 75, "open", "pg(11,24,3)?"], [1068, 792, 591, 576, "open", ""], [1069, 534, 266, 267, "exists", "Paley(1069); 2-graph*"], [1071, 110, 13, 11, "open", ""], [1071, 320, 94, 96, "open", "pg(20,15,6)?"], [1071, 350, 133, 105, "open", ""], [1071, 720, 474, 504, "open", "pg(20,35,14)?"], [1071, 750, 525, 525, "open", ""], [1071, 960, 860, 864, "open", ""], [1072, 252, 56, 60, "open", ""], [1072, 261, 80, 58, "open", ""], [1072, 345, 102, 115, "open", "pg(15,22,5)?"], [1072, 391, 150, 138, "open", ""], [1072, 680, 426, 440, "open", ""], [1072, 726, 495, 484, "open", ""], [1072, 810, 606, 630, "open", ""], [1072, 819, 626, 624, "open", ""], [1073, 64, 0, 4, "open", ""], [1073, 536, 267, 268, "open", "2-graph*?"], [1073, 1008, 947, 945, "open", ""], [1075, 192, 44, 32, "open", "pg(24,7,4)?"], [1075, 210, 65, 35, "open", ""], [1075, 864, 688, 720, "open", "pg(24,35,20)?"], [1075, 882, 721, 735, "open", ""], [1077, 538, 268, 269, "impossible", "Conf"], [1078, 375, 140, 125, "open", ""], [1078, 702, 451, 468, "open", "pg(27,25,18)?"], [1079, 238, 57, 51, "open", ""], [1079, 840, 652, 660, "open", ""], [1080, 78, 0, 6, "open", ""], [1080, 83, 10, 6, "open", ""], [1080, 117, 42, 9, "exists", "S(2,3,81); Lines in AG(4,3) (rk 4)"], [1080, 221, 22, 51, "open", ""], [1080, 249, 48, 60, "open", ""], [1080, 260, 70, 60, "open", "pg(26,9,6)?"], [1080, 332, 88, 108, "open", ""], [1080, 351, 126, 108, "exists", "NO<sup>+</sup>(8,3); Wallis (AR(3,3)+S(2,4,40))"], [1080, 364, 88, 140, "open", "q222=0"], [1080, 415, 190, 140, "open", ""], [1080, 442, 196, 170, "open", ""], [1080, 637, 364, 392, "open", ""], [1080, 664, 388, 440, "open", ""], [1080, 715, 490, 440, "open", "q111=0"], [1080, 728, 484, 504, "exists", "pg(26,27,18) - Mathon"], [1080, 747, 522, 504, "open", ""], [1080, 819, 618, 630, "open", ""], [1080, 830, 640, 630, "open", ""], [1080, 858, 687, 660, "open", ""], [1080, 962, 853, 888, "exists", "pg(26,36,24)?"], [1080, 996, 918, 924, "open", ""], [1080, 1001, 928, 924, "open", ""], [1081, 90, 45, 4, "exists", "Triangular graph T(47)"], [1081, 440, 135, 209, "impossible", "Krein2"], [1081, 486, 177, 252, "open", ""], [1081, 540, 269, 270, "impossible", "Conf"], [1081, 594, 359, 286, "open", ""], [1081, 640, 408, 336, "impossible", "Krein1"], [1081, 990, 903, 946, "exists", ""], [1083, 522, 241, 261, "open", "pg(18,28,9)?; 2-graph*?"], [1083, 560, 298, 280, "open", "2-graph*?"], [1084, 513, 232, 252, "open", "2-graph?"], [1084, 532, 270, 252, "open", "2-graph?"], [1084, 551, 270, 290, "open", "2-graph?"], [1084, 570, 308, 290, "open", "2-graph?"], [1085, 256, 48, 64, "open", ""], [1085, 542, 270, 271, "impossible", "Conf"], [1085, 828, 635, 621, "open", ""], [1086, 155, 4, 25, "open", ""], [1086, 210, 59, 36, "exists", "S(2,6,181)"], [1086, 875, 700, 725, "exists", ""], [1086, 930, 799, 780, "open", ""], [1089, 64, 31, 2, "exists", "33<sup>2</sup>"], [1089, 96, 33, 6, "exists", "OA(33,3)"], [1089, 128, 37, 12, "exists", "OA(33,4)"], [1089, 160, 43, 20, "exists", "OA(33,5)"], [1089, 170, 7, 30, "open", ""], [1089, 192, 51, 30, "exists", "OA(33,6)"], [1089, 204, 21, 42, "open", ""], [1089, 224, 61, 42, "exists", "OA(33,7)"], [1089, 238, 37, 56, "open", ""], [1089, 256, 73, 56, "open", "OA(33,8)?"], [1089, 272, 55, 72, "open", ""], [1089, 288, 87, 72, "open", "OA(33,9)?"], [1089, 306, 75, 90, "open", ""], [1089, 320, 67, 105, "open", ""], [1089, 320, 103, 90, "open", "OA(33,10)?"], [1089, 340, 97, 110, "open", ""], [1089, 352, 121, 110, "open", "OA(33,11)?"], [1089, 374, 121, 132, "open", "pg(17,21,6)?"], [1089, 384, 141, 132, "open", "OA(33,12)?"], [1089, 408, 37, 222, "impossible", "Krein2; Absolute bound"], [1089, 408, 147, 156, "open", ""], [1089, 408, 177, 138, "open", ""], [1089, 416, 163, 156, "open", "OA(33,13)?"], [1089, 442, 175, 182, "open", ""], [1089, 448, 187, 182, "open", "OA(33,14)?"], [1089, 476, 205, 210, "open", ""], [1089, 480, 213, 210, "open", "OA(33,15)?"], [1089, 500, 205, 250, "open", "pg(10,49,5)?; 2-graph*?"], [1089, 510, 237, 240, "open", ""], [1089, 512, 241, 240, "open", "OA(33,16)?"], [1089, 544, 271, 272, "open", "OA(33,17)?; 2-graph*?"], [1089, 576, 303, 306, "open", "OA(33,18)?"], [1089, 578, 307, 306, "open", ""], [1089, 588, 337, 294, "open", "2-graph*?"], [1089, 608, 337, 342, "open", "OA(33,19)?"], [1089, 612, 345, 342, "open", ""], [1089, 640, 373, 380, "open", "OA(33,20)?"], [1089, 646, 385, 380, "open", ""], [1089, 672, 411, 420, "open", "OA(33,21)?"], [1089, 680, 409, 450, "open", ""], [1089, 680, 427, 420, "open", ""], [1089, 680, 493, 310, "impossible", "Krein1; Absolute bound"], [1089, 704, 451, 462, "open", "OA(33,22)?"], [1089, 714, 471, 462, "open", ""], [1089, 736, 493, 506, "open", "OA(33,23)?"], [1089, 748, 517, 506, "open", ""], [1089, 768, 537, 552, "open", "OA(33,24)?"], [1089, 768, 552, 516, "open", ""], [1089, 782, 565, 552, "open", ""], [1089, 800, 583, 600, "open", "OA(33,25)?"], [1089, 816, 615, 600, "open", ""], [1089, 832, 631, 650, "open", "OA(33,26)?"], [1089, 850, 667, 650, "open", ""], [1089, 864, 681, 702, "exists", "OA(33,27)?"], [1089, 884, 721, 702, "open", ""], [1089, 896, 733, 756, "exists", "OA(33,28)?"], [1089, 918, 777, 756, "open", ""], [1089, 928, 787, 812, "exists", "OA(33,29)?"], [1089, 960, 843, 870, "exists", "OA(33,30)?"], [1089, 992, 901, 930, "exists", "OA(33,31)?"], [1089, 1024, 961, 992, "exists", "OA(33,32)?"], [1090, 441, 152, 196, "open", "pg(9,48,4)?"], [1090, 495, 200, 245, "open", "2-graph?"], [1090, 528, 255, 256, "open", "2-graph?"], [1090, 539, 288, 245, "open", "2-graph?"], [1090, 550, 255, 300, "open", "2-graph?"], [1090, 561, 288, 289, "open", "S(2,17,545)?; 2-graph?"], [1090, 594, 343, 300, "open", "2-graph?"], [1090, 648, 402, 360, "open", ""], [1093, 546, 272, 273, "exists", "Paley(1093); 2-graph*"], [1096, 285, 68, 76, "open", ""], [1096, 810, 600, 594, "open", ""], [1097, 548, 273, 274, "exists", "Paley(1097); 2-graph*"], [1100, 315, 90, 90, "open", "pg(21,14,6)?"], [1100, 343, 126, 98, "open", ""], [1100, 448, 168, 192, "open", ""], [1100, 483, 218, 207, "open", ""], [1100, 616, 339, 352, "open", ""], [1100, 651, 394, 372, "open", ""], [1100, 756, 510, 540, "open", "pg(21,35,15)?"], [1100, 784, 558, 560, "open", ""], [1101, 550, 274, 275, "impossible", "Conf"], [1105, 80, 15, 5, "exists", "U(4,4) polar graph; GQ(16,4)"], [1105, 138, 11, 18, "open", ""], [1105, 208, 39, 39, "open", "pg(16,12,3)?"], [1105, 336, 95, 105, "open", "pg(16,20,5)?"], [1105, 378, 135, 126, "open", ""], [1105, 552, 275, 276, "open", "2-graph*?"], [1105, 726, 473, 484, "open", "S(2,22,715)?"], [1105, 768, 536, 528, "open", ""], [1105, 896, 726, 728, "open", ""], [1105, 966, 845, 840, "open", ""], [1105, 1024, 948, 960, "exists", ""], [1106, 340, 114, 100, "open", "S(2,10,316)?"], [1106, 403, 132, 155, "open", "pg(13,30,5)?"], [1106, 465, 208, 186, "open", ""], [1106, 640, 360, 384, "open", ""], [1106, 702, 453, 432, "open", ""], [1106, 765, 524, 540, "open", ""], [1107, 378, 117, 135, "exists", "NO<sup>\u2013</sup>(8,3)"], [1107, 728, 484, 468, "exists", ""], [1109, 554, 276, 277, "exists", "Paley(1109); 2-graph*"], [1111, 110, 9, 11, "open", ""], [1111, 1000, 900, 900, "open", ""], [1112, 396, 135, 144, "open", ""], [1112, 715, 462, 455, "open", ""], [1113, 556, 277, 278, "impossible", "Conf"], [1116, 245, 70, 49, "exists", "S(2,7,217)"], [1116, 870, 673, 696, "exists", "pg(30,28,24)?"], [1117, 558, 278, 279, "exists", "Paley(1117); 2-graph*"], [1120, 363, 110, 121, "open", ""], [1120, 390, 146, 130, "exists", "O<sup>+</sup>(8,3)"], [1120, 729, 468, 486, "exists", "pg(27,26,18) - Mathon"], [1120, 756, 513, 504, "open", ""], [1121, 560, 279, 280, "impossible", "Conf"], [1122, 209, 16, 44, "open", ""], [1122, 912, 746, 720, "open", ""], [1125, 228, 3, 57, "impossible", "Krein2"], [1125, 288, 78, 72, "open", "pg(24,11,6)?"], [1125, 308, 103, 77, "open", ""], [1125, 562, 280, 281, "open", "2-graph*?"], [1125, 816, 584, 612, "open", "pg(24,33,18)?"], [1125, 836, 619, 627, "open", ""], [1125, 896, 724, 672, "impossible", "Krein1"], [1127, 486, 165, 243, "impossible", "<a href=\"srgtabrefs.html#Makhnev02\">Makhnev</a>"], [1127, 640, 396, 320, "impossible", ""], [1128, 92, 46, 4, "exists", "Triangular graph T(48)"], [1128, 196, 24, 36, "open", ""], [1128, 245, 28, 60, "open", ""], [1128, 322, 116, 82, "open", ""], [1128, 483, 162, 240, "impossible", "Krein2; Absolute bound"], [1128, 560, 316, 240, "impossible", ""], [1128, 567, 246, 324, "impossible", "no 2-graph*"], [1128, 644, 400, 324, "impossible", "Krein1; Absolute bound"], [1128, 805, 564, 600, "open", ""], [1128, 882, 696, 666, "open", ""], [1128, 931, 770, 760, "open", ""], [1128, 1035, 946, 990, "exists", "pg(23,44,22)?"], [1129, 564, 281, 282, "exists", "Paley(1129); 2-graph*"], [1131, 320, 76, 96, "open", ""], [1131, 810, 585, 567, "open", ""], [1133, 566, 282, 283, "impossible", "Conf"], [1134, 198, 27, 36, "open", "pg(11,17,2)?"], [1134, 206, 43, 36, "open", ""], [1134, 275, 40, 75, "open", ""], [1134, 308, 82, 84, "open", ""], [1134, 385, 112, 140, "open", ""], [1134, 412, 166, 140, "open", ""], [1134, 418, 157, 152, "open", ""], [1134, 528, 252, 240, "open", ""], [1134, 605, 316, 330, "open", ""], [1134, 715, 448, 455, "open", ""], [1134, 721, 448, 476, "open", ""], [1134, 748, 502, 476, "open", ""], [1134, 825, 600, 600, "open", ""], [1134, 858, 657, 624, "open", ""], [1134, 927, 756, 765, "open", ""], [1134, 935, 772, 765, "open", ""], [1135, 216, 45, 40, "open", ""], [1135, 238, 45, 51, "open", ""], [1135, 896, 708, 704, "open", ""], [1135, 918, 741, 748, "open", ""], [1136, 280, 108, 56, "open", ""], [1136, 855, 630, 684, "open", "pg(15,56,12)?"], [1137, 568, 283, 284, "impossible", "Conf"], [1140, 306, 60, 90, "open", ""], [1140, 391, 126, 138, "open", ""], [1140, 469, 158, 217, "open", ""], [1140, 476, 202, 196, "open", "S(2,14,456)?"], [1140, 544, 228, 288, "open", ""], [1140, 595, 338, 280, "open", ""], [1140, 663, 382, 390, "open", ""], [1140, 670, 417, 360, "open", ""], [1140, 748, 494, 484, "open", ""], [1140, 833, 616, 588, "open", ""], [1141, 570, 284, 285, "impossible", "Conf"], [1144, 243, 42, 54, "open", ""], [1144, 408, 162, 136, "open", ""], [1144, 495, 206, 220, "open", ""], [1144, 648, 372, 360, "open", ""], [1144, 735, 462, 490, "open", "pg(21,34,14)?"], [1144, 900, 710, 700, "open", ""], [1145, 572, 285, 286, "open", "2-graph*?"], [1147, 216, 60, 36, "exists", "S(2,6,186)"], [1147, 930, 749, 775, "exists", "pg(30,30,25)?"], [1148, 481, 210, 195, "open", ""], [1148, 666, 379, 396, "open", ""], [1149, 574, 286, 287, "impossible", "Conf"], [1150, 351, 84, 117, "open", "pg(9,38,3)?"], [1150, 798, 563, 532, "open", ""], [1153, 576, 287, 288, "exists", "Paley(1153); 2-graph*"], [1155, 576, 286, 288, "open", "pg(32,17,16)?; 2-graph*?"], [1155, 578, 289, 289, "open", "S(2,17,561)?; 2-graph*?"], [1156, 63, 10, 3, "open", ""], [1156, 66, 32, 2, "exists", "34<sup>2</sup>"], [1156, 75, 2, 5, "open", ""], [1156, 77, 6, 5, "open", ""], [1156, 99, 34, 6, "exists", "OA(34,3)"], [1156, 132, 38, 12, "exists", "OA(34,4)"], [1156, 165, 44, 20, "exists", "OA(34,5)"], [1156, 175, 6, 30, "open", ""], [1156, 198, 52, 30, "exists", "OA(34,6)"], [1156, 210, 20, 42, "open", ""], [1156, 231, 62, 42, "open", "OA(34,7)?"], [1156, 245, 36, 56, "open", ""], [1156, 264, 47, 64, "open", ""], [1156, 264, 74, 56, "open", "OA(34,8)?"], [1156, 275, 18, 80, "impossible", "Krein2"], [1156, 280, 54, 72, "open", ""], [1156, 297, 88, 72, "open", "OA(34,9)?"], [1156, 315, 74, 90, "open", ""], [1156, 315, 98, 81, "open", "S(2,9,289)?"], [1156, 330, 104, 90, "open", "OA(34,10)?"], [1156, 336, 140, 80, "open", ""], [1156, 345, 74, 115, "open", ""], [1156, 350, 96, 110, "open", ""], [1156, 363, 122, 110, "open", "OA(34,11)?"], [1156, 385, 120, 132, "open", ""], [1156, 396, 142, 132, "open", "OA(34,12)?"], [1156, 405, 204, 108, "impossible", "Absolute bound"], [1156, 420, 146, 156, "open", ""], [1156, 429, 164, 156, "open", "OA(34,13)?"], [1156, 440, 270, 104, "impossible", "Absolute bound"], [1156, 455, 174, 182, "open", ""], [1156, 462, 188, 182, "open", "OA(34,14)?"], [1156, 480, 164, 224, "open", ""], [1156, 490, 204, 210, "open", ""], [1156, 495, 214, 210, "open", "OA(34,15)?"], [1156, 525, 236, 240, "open", ""], [1156, 528, 242, 240, "open", "OA(34,16)?"], [1156, 539, 282, 224, "open", ""], [1156, 540, 293, 216, "open", ""], [1156, 546, 197, 312, "impossible", "Krein2; Absolute bound"], [1156, 560, 270, 272, "open", "RSHCD<sup>\u2013</sup>?; 2-graph?"], [1156, 561, 272, 272, "open", "OA(34,17)?; RSHCD<sup>+</sup>?; 2-graph?"], [1156, 567, 258, 297, "open", ""], [1156, 588, 317, 280, "open", ""], [1156, 594, 304, 306, "open", "OA(34,18)?; 2-graph?"], [1156, 595, 306, 306, "open", "2-graph?"], [1156, 609, 374, 261, "impossible", "Krein1; Absolute bound"], [1156, 615, 290, 369, "open", ""], [1156, 616, 300, 360, "open", ""], [1156, 627, 338, 342, "open", "OA(34,19)?"], [1156, 630, 344, 342, "open", ""], [1156, 660, 374, 380, "open", "OA(34,20)?"], [1156, 665, 384, 380, "open", ""], [1156, 675, 418, 360, "open", ""], [1156, 693, 412, 420, "open", "OA(34,21)?"], [1156, 700, 426, 420, "open", ""], [1156, 715, 378, 546, "impossible", "Absolute bound"], [1156, 726, 452, 462, "open", "OA(34,22)?"], [1156, 735, 470, 462, "open", ""], [1156, 750, 452, 550, "impossible", "Absolute bound"], [1156, 759, 494, 506, "open", "OA(34,23)?"], [1156, 770, 516, 506, "open", ""], [1156, 792, 538, 552, "open", "OA(34,24)?"], [1156, 805, 564, 552, "open", ""], [1156, 810, 579, 540, "open", ""], [1156, 819, 562, 624, "open", ""], [1156, 825, 584, 600, "open", "OA(34,25)?"], [1156, 840, 605, 624, "open", ""], [1156, 840, 614, 600, "open", ""], [1156, 858, 632, 650, "open", "OA(34,26)?"], [1156, 875, 666, 650, "open", ""], [1156, 880, 684, 624, "impossible", "Krein1"], [1156, 891, 682, 702, "open", "OA(34,27)?"], [1156, 891, 690, 675, "open", ""], [1156, 910, 720, 702, "open", ""], [1156, 924, 734, 756, "open", "OA(34,28)?"], [1156, 945, 776, 756, "open", ""], [1156, 957, 788, 812, "exists", "OA(34,29)?"], [1156, 980, 834, 812, "open", ""], [1156, 990, 844, 870, "exists", "OA(34,30)?"], [1156, 1023, 902, 930, "exists", "OA(34,31)?"], [1156, 1056, 962, 992, "exists", "OA(34,32)?"], [1156, 1078, 1005, 1008, "open", ""], [1156, 1080, 1009, 1008, "open", ""], [1156, 1089, 1024, 1056, "exists", "OA(34,33)?"], [1156, 1092, 1031, 1040, "open", ""], [1157, 578, 288, 289, "open", "2-graph*?"], [1160, 304, 78, 80, "open", "pg(19,15,5)?"], [1160, 532, 234, 252, "open", "pg(19,27,9)?"], [1160, 627, 346, 330, "open", ""], [1160, 855, 630, 630, "open", ""], [1161, 40, 11, 1, "impossible", "mu=1"], [1161, 136, 7, 17, "open", ""], [1161, 360, 99, 117, "open", ""], [1161, 380, 145, 114, "open", ""], [1161, 580, 289, 290, "impossible", "Conf"], [1161, 780, 513, 546, "open", ""], [1161, 800, 556, 540, "open", ""], [1161, 1024, 904, 896, "open", ""], [1161, 1120, 1080, 1092, "impossible", ""], [1162, 336, 60, 112, "impossible", "Krein2"], [1162, 825, 600, 550, "impossible", "Krein1"], [1165, 582, 290, 291, "open", "2-graph*?"], [1166, 220, 30, 44, "open", "pg(10,21,2)?"], [1166, 945, 768, 756, "open", ""], [1169, 584, 291, 292, "impossible", "Conf"], [1170, 322, 79, 92, "open", "pg(14,22,4)?"], [1170, 350, 115, 100, "open", "S(2,10,325)?"], [1170, 385, 160, 110, "open", ""], [1170, 476, 178, 204, "open", "pg(14,33,6)?"], [1170, 693, 420, 396, "open", ""], [1170, 784, 508, 560, "open", "pg(14,55,10)?"], [1170, 819, 568, 585, "open", ""], [1170, 847, 616, 605, "open", ""], [1173, 586, 292, 293, "impossible", "Conf"], [1176, 50, 4, 2, "open", ""], [1176, 94, 47, 4, "exists", "Triangular graph T(49)"], [1176, 175, 14, 28, "open", ""], [1176, 188, 40, 28, "open", ""], [1176, 235, 42, 48, "open", ""], [1176, 235, 98, 34, "impossible", "Absolute bound"], [1176, 240, 52, 48, "open", "pg(20,11,4)?"], [1176, 275, 58, 66, "open", ""], [1176, 300, 54, 84, "exists", "NO<sup>\u2013</sup>(5,7)"], [1176, 329, 112, 84, "open", ""], [1176, 400, 120, 144, "open", ""], [1176, 423, 102, 180, "impossible", "Krein2; Absolute bound"], [1176, 460, 173, 184, "open", "pg(20,22,8)?"], [1176, 470, 172, 198, "open", ""], [1176, 470, 193, 184, "open", ""], [1176, 495, 222, 198, "open", ""], [1176, 500, 256, 180, "open", ""], [1176, 525, 238, 231, "open", ""], [1176, 550, 224, 286, "open", ""], [1176, 625, 360, 300, "open", ""], [1176, 650, 355, 364, "open", ""], [1176, 675, 354, 432, "open", ""], [1176, 680, 382, 408, "open", "pg(20,33,12)?"], [1176, 705, 418, 429, "open", ""], [1176, 705, 432, 408, "open", ""], [1176, 715, 438, 429, "open", ""], [1176, 752, 508, 432, "impossible", "Krein1; Absolute bound"], [1176, 775, 518, 496, "open", ""], [1176, 846, 600, 630, "open", ""], [1176, 875, 658, 630, "exists", ""], [1176, 900, 690, 684, "open", ""], [1176, 935, 742, 748, "open", ""], [1176, 940, 738, 804, "impossible", "Absolute bound"], [1176, 940, 752, 748, "open", ""], [1176, 987, 826, 840, "open", ""], [1176, 1000, 852, 840, "open", ""], [1176, 1081, 990, 1035, "exists", ""], [1176, 1125, 1076, 1080, "open", ""], [1177, 204, 41, 34, "open", ""], [1177, 224, 36, 44, "open", ""], [1177, 588, 293, 294, "impossible", "Conf"], [1177, 952, 771, 765, "open", ""], [1177, 972, 801, 810, "open", ""], [1178, 99, 0, 9, "open", ""], [1178, 1078, 987, 980, "open", ""], [1181, 590, 294, 295, "exists", "Paley(1181); 2-graph*"], [1183, 192, 26, 32, "open", "pg(12,15,2)?"], [1183, 270, 117, 45, "impossible", "Absolute bound"], [1183, 372, 101, 124, "open", "pg(12,30,4)?"], [1183, 450, 205, 150, "open", ""], [1183, 552, 236, 276, "open", "pg(12,45,6)?; 2-graph*?"], [1183, 630, 353, 315, "open", "2-graph*?"], [1183, 732, 431, 488, "open", "pg(12,60,8)?"], [1183, 810, 561, 540, "open", ""], [1183, 912, 686, 760, "impossible", "Absolute bound"], [1183, 990, 829, 825, "open", ""], [1184, 154, 6, 22, "open", ""], [1184, 546, 230, 270, "open", "2-graph?"], [1184, 585, 308, 270, "open", "2-graph?"], [1184, 598, 282, 322, "open", "2-graph?"], [1184, 637, 360, 322, "open", "2-graph?"], [1184, 1029, 896, 882, "open", ""], [1185, 592, 295, 296, "impossible", "Conf"], [1189, 36, 3, 1, "impossible", "mu=1"], [1189, 132, 11, 15, "open", ""], [1189, 216, 35, 40, "open", ""], [1189, 396, 135, 130, "open", ""], [1189, 588, 287, 294, "open", "pg(28,20,14)?; 2-graph*?"], [1189, 594, 296, 297, "open", "2-graph*?"], [1189, 600, 305, 300, "open", "2-graph*?"], [1189, 792, 525, 532, "open", ""], [1189, 972, 795, 792, "open", ""], [1189, 1056, 938, 936, "open", ""], [1189, 1152, 1116, 1120, "impossible", ""], [1190, 123, 44, 9, "exists", "S(2,3,85)"], [1190, 145, 0, 20, "open", ""], [1190, 492, 202, 204, "open", ""], [1190, 493, 204, 204, "open", ""], [1190, 574, 273, 280, "open", "2-graph?"], [1190, 580, 285, 280, "open", "2-graph?"], [1190, 609, 308, 315, "open", "pg(29,20,15)?; 2-graph?"], [1190, 615, 320, 315, "open", "2-graph?"], [1190, 696, 406, 408, "open", ""], [1190, 697, 408, 408, "open", ""], [1190, 1044, 918, 900, "open", ""], [1190, 1066, 951, 988, "exists", ""], [1191, 374, 109, 121, "open", ""], [1191, 420, 155, 144, "open", "S(2,12,397)?"], [1191, 770, 493, 506, "open", ""], [1191, 816, 562, 552, "open", ""], [1193, 596, 297, 298, "exists", "Paley(1193); 2-graph*"], [1196, 250, 60, 50, "open", "pg(25,9,5)?"], [1196, 945, 744, 756, "open", ""], [1197, 156, 15, 21, "open", ""], [1197, 276, 15, 78, "impossible", "Krein2"], [1197, 300, 75, 75, "open", "pg(20,14,5)?"], [1197, 364, 91, 119, "open", ""], [1197, 368, 124, 108, "open", ""], [1197, 390, 141, 120, "open", ""], [1197, 416, 190, 120, "open", ""], [1197, 460, 139, 200, "open", ""], [1197, 546, 245, 252, "open", "pg(26,20,12)?"], [1197, 598, 289, 308, "open", ""], [1197, 598, 298, 299, "impossible", "Conf"], [1197, 598, 307, 290, "open", ""], [1197, 650, 355, 350, "open", ""], [1197, 736, 475, 416, "open", ""], [1197, 780, 483, 555, "open", ""], [1197, 806, 535, 558, "open", ""], [1197, 828, 567, 585, "open", ""], [1197, 832, 586, 560, "open", ""], [1197, 896, 670, 672, "open", ""], [1197, 920, 721, 660, "impossible", "Krein1"], [1197, 1040, 904, 900, "open", ""], [1199, 550, 225, 275, "open", "pg(10,54,5)?; 2-graph*?"], [1199, 648, 372, 324, "open", "2-graph*?"], [1200, 109, 8, 10, "open", ""], [1200, 110, 10, 10, "open", ""], [1200, 198, 15, 36, "open", ""], [1200, 218, 28, 42, "open", ""], [1200, 231, 54, 42, "open", ""], [1200, 308, 64, 84, "open", "pg(11,27,3)?"], [1200, 327, 70, 96, "open", ""], [1200, 352, 120, 96, "open", ""], [1200, 407, 118, 148, "open", "pg(11,36,4)?"], [1200, 539, 238, 245, "open", ""], [1200, 545, 220, 270, "open", "2-graph?"], [1200, 594, 318, 270, "open", "2-graph?"], [1200, 605, 280, 330, "open", "pg(11,54,6)?; 2-graph?"], [1200, 654, 378, 330, "open", "2-graph?"], [1200, 660, 365, 360, "open", ""], [1200, 792, 532, 504, "open", ""], [1200, 847, 590, 616, "open", ""], [1200, 872, 640, 616, "open", ""], [1200, 891, 666, 648, "open", ""], [1200, 968, 778, 792, "open", ""], [1200, 981, 804, 792, "open", ""], [1200, 1001, 838, 819, "open", ""], [1200, 1089, 988, 990, "open", ""], [1200, 1090, 990, 990, "open", ""], [1201, 600, 299, 300, "exists", "Paley(1201); 2-graph*"], [1205, 448, 150, 176, "open", ""], [1205, 516, 235, 210, "open", ""], [1205, 602, 300, 301, "open", "2-graph*?"], [1205, 688, 381, 408, "open", ""], [1205, 756, 483, 459, "open", ""], [1206, 490, 203, 196, "open", "S(2,14,469)?"], [1206, 715, 420, 429, "open", ""], [1208, 459, 150, 189, "open", ""], [1208, 748, 477, 440, "open", ""], [1209, 604, 301, 302, "impossible", "Conf"], [1210, 104, 18, 8, "open", ""], [1210, 117, 4, 12, "open", ""], [1210, 124, 18, 12, "open", ""], [1210, 156, 47, 16, "exists", "S(2,4,121); lines in PG(4,3)"], [1210, 279, 28, 75, "impossible", "Krein2"], [1210, 325, 120, 75, "open", ""], [1210, 351, 108, 99, "open", ""], [1210, 372, 119, 112, "open", ""], [1210, 390, 95, 140, "open", ""], [1210, 399, 128, 133, "open", "pg(21,18,7)?"], [1210, 432, 172, 144, "open", ""], [1210, 434, 183, 140, "open", ""], [1210, 585, 296, 270, "open", ""], [1210, 624, 308, 336, "open", ""], [1210, 775, 480, 525, "open", ""], [1210, 777, 488, 518, "open", "pg(21,36,14)?"], [1210, 810, 543, 540, "open", ""], [1210, 819, 568, 525, "open", ""], [1210, 837, 576, 585, "open", ""], [1210, 858, 605, 616, "open", ""], [1210, 884, 633, 680, "open", ""], [1210, 930, 725, 680, "impossible", "Krein1"], [1210, 1053, 912, 945, "exists", ""], [1210, 1085, 972, 980, "open", ""], [1210, 1092, 986, 980, "open", ""], [1210, 1105, 1008, 1020, "open", ""], [1212, 525, 230, 225, "open", "S(2,15,505)?"], [1212, 686, 385, 392, "open", ""], [1213, 606, 302, 303, "exists", "Paley(1213); 2-graph*"], [1215, 544, 208, 272, "open", "pg(8,67,4)?; 2-graph*?"], [1215, 574, 253, 287, "exists", "pg(14,40,7)?; 2-graph*"], [1215, 598, 289, 299, "open", "pg(26,22,13)?; 2-graph*?"], [1215, 616, 316, 308, "open", "2-graph*?"], [1215, 640, 352, 320, "exists", "2-graph*"], [1215, 670, 397, 335, "open", "2-graph*?"], [1216, 90, 14, 6, "open", ""], [1216, 135, 6, 16, "open", ""], [1216, 144, 24, 16, "exists", "Wallis (AR(8,1)+S(2,3,19)); pg(18,7,2)?"], [1216, 162, 18, 22, "open", ""], [1216, 165, 24, 22, "open", "pg(15,10,2)?"], [1216, 270, 24, 70, "impossible", "Krein2"], [1216, 270, 38, 66, "open", ""], [1216, 270, 150, 34, "impossible", "Absolute bound"], [1216, 375, 150, 100, "open", ""], [1216, 405, 144, 130, "open", ""], [1216, 465, 164, 186, "open", "pg(15,30,6)?"], [1216, 540, 204, 268, "open", "2-graph?"], [1216, 567, 246, 280, "open", "2-graph?"], [1216, 585, 276, 286, "open", "2-graph?"], [1216, 594, 294, 286, "open", "2-graph?"], [1216, 600, 312, 280, "exists", "Wallis (AR(2,4)+S(2,6,76)); 2-graph"], [1216, 603, 330, 268, "open", "2-graph?"], [1216, 612, 276, 340, "open", "2-graph?"], [1216, 615, 294, 328, "exists", "Goethals-Seidel(6,15); pg(15,40,8)?; 2-graph"], [1216, 621, 312, 322, "open", "2-graph?"], [1216, 630, 330, 322, "open", "2-graph?"], [1216, 648, 360, 328, "open", "2-graph?"], [1216, 675, 402, 340, "open", "2-graph?"], [1216, 750, 470, 450, "open", ""], [1216, 810, 534, 550, "open", ""], [1216, 840, 564, 616, "open", "pg(15,55,11)?"], [1216, 945, 708, 826, "impossible", "Absolute bound"], [1216, 945, 740, 714, "open", ""], [1216, 945, 744, 700, "impossible", "Krein1"], [1216, 1050, 906, 910, "open", ""], [1216, 1053, 912, 910, "open", ""], [1216, 1071, 942, 952, "exists", ""], [1216, 1080, 960, 952, "open", ""], [1216, 1125, 1040, 1050, "open", ""], [1217, 608, 303, 304, "exists", "Paley(1217); 2-graph*"], [1221, 324, 99, 81, "open", "S(2,9,297)?"], [1221, 500, 175, 225, "open", ""], [1221, 610, 279, 330, "open", ""], [1221, 610, 304, 305, "impossible", "Conf"], [1221, 610, 329, 280, "open", ""], [1221, 720, 444, 396, "open", ""], [1221, 896, 652, 672, "open", "pg(32,27,24)?"], [1222, 481, 180, 195, "open", ""], [1222, 528, 212, 240, "open", ""], [1222, 693, 404, 378, "open", ""], [1222, 740, 453, 440, "open", ""], [1225, 68, 33, 2, "exists", "35<sup>2</sup>"], [1225, 96, 48, 4, "exists", "Triangular graph T(50)"], [1225, 102, 35, 6, "exists", "OA(35,3)"], [1225, 136, 39, 12, "exists", "OA(35,4)"], [1225, 168, 35, 21, "exists", "Wallis (AR(7,1)+S(2,4,25)); pg(24,6,3)?"], [1225, 170, 45, 20, "exists", "OA(35,5)"], [1225, 180, 5, 30, "open", ""], [1225, 204, 53, 30, "exists", "OA(35,6)"], [1225, 216, 19, 42, "open", ""], [1225, 238, 63, 42, "exists", "OA(35,7)"], [1225, 252, 35, 56, "open", "pg(9,27,2)?"], [1225, 264, 63, 55, "open", "pg(24,10,5)?"], [1225, 272, 75, 56, "open", "OA(35,8)?"], [1225, 288, 53, 72, "open", ""], [1225, 306, 89, 72, "open", "OA(35,9)?"], [1225, 324, 73, 90, "open", ""], [1225, 340, 105, 90, "open", "OA(35,10)?"], [1225, 352, 24, 132, "impossible", "Krein2; Absolute bound"], [1225, 360, 95, 110, "open", ""], [1225, 374, 123, 110, "open", "OA(35,11)?"], [1225, 384, 138, 112, "exists", "NO<sup>+</sup>(5,7)"], [1225, 396, 119, 132, "open", ""], [1225, 408, 59, 174, "impossible", "Krein2; Absolute bound"], [1225, 408, 83, 162, "impossible", "Krein2; Absolute bound"], [1225, 408, 143, 132, "open", "OA(35,12)?"], [1225, 432, 145, 156, "open", ""], [1225, 442, 165, 156, "open", "OA(35,13)?"], [1225, 456, 39, 247, "impossible", "Krein2; Absolute bound"], [1225, 468, 173, 182, "open", ""], [1225, 476, 189, 182, "open", "OA(35,14)?"], [1225, 480, 200, 180, "open", ""], [1225, 504, 203, 210, "open", "pg(24,20,10)?"], [1225, 510, 215, 210, "open", "OA(35,15)?"], [1225, 520, 255, 195, "open", ""], [1225, 540, 235, 240, "open", "pg(27,19,12)?"], [1225, 544, 243, 240, "open", "OA(35,16)?"], [1225, 576, 206, 328, "impossible", "Krein2; Absolute bound"], [1225, 576, 269, 272, "open", ""], [1225, 576, 314, 232, "impossible", "Absolute bound"], [1225, 578, 273, 272, "exists", "OA(35,17)?; <a href=\"srgtabrefs.html#Pasechnik92\">Pasechnik(35)</a>"], [1225, 612, 305, 306, "exists", "skewhad$^2$; OA(35,18)?; 2-graph*"], [1225, 646, 339, 342, "exists", "OA(35,19)?"], [1225, 648, 303, 387, "impossible", "Absolute bound"], [1225, 648, 343, 342, "open", ""], [1225, 648, 399, 279, "impossible", "Krein1; Absolute bound"], [1225, 680, 375, 380, "open", "OA(35,20)?"], [1225, 684, 383, 380, "open", ""], [1225, 704, 378, 440, "open", ""], [1225, 714, 413, 420, "open", "OA(35,21)?"], [1225, 720, 425, 420, "open", ""], [1225, 744, 443, 465, "open", "pg(24,30,15)?"], [1225, 748, 453, 462, "open", "OA(35,22)?"], [1225, 756, 469, 462, "open", ""], [1225, 768, 558, 352, "impossible", "Krein1; Absolute bound"], [1225, 782, 495, 506, "open", "OA(35,23)?"], [1225, 792, 515, 506, "open", ""], [1225, 816, 539, 552, "open", "OA(35,24)?"], [1225, 816, 569, 492, "impossible", "Krein1; Absolute bound"], [1225, 816, 581, 468, "impossible", "Krein1; Absolute bound"], [1225, 828, 563, 552, "open", ""], [1225, 840, 567, 595, "exists", "pg(24,34,17)?"], [1225, 850, 585, 600, "open", "OA(35,25)?"], [1225, 864, 613, 600, "open", ""], [1225, 872, 651, 545, "impossible", "Krein1; Absolute bound"], [1225, 884, 633, 650, "open", "OA(35,26)?"], [1225, 900, 665, 650, "open", ""], [1225, 918, 683, 702, "open", "OA(35,27)?"], [1225, 936, 719, 702, "open", ""], [1225, 952, 735, 756, "open", "OA(35,28)?"], [1225, 960, 750, 760, "open", ""], [1225, 972, 775, 756, "open", ""], [1225, 986, 789, 812, "exists", "OA(35,29)?"], [1225, 1008, 833, 812, "open", ""], [1225, 1020, 845, 870, "exists", "OA(35,30)?"], [1225, 1044, 893, 870, "open", ""], [1225, 1054, 903, 930, "exists", "OA(35,31)?"], [1225, 1056, 908, 924, "exists", ""], [1225, 1088, 963, 992, "exists", "OA(35,32)?"], [1225, 1122, 1025, 1056, "exists", "OA(35,33)?"], [1225, 1128, 1035, 1081, "exists", "pg(24,46,23)?"], [1225, 1156, 1089, 1122, "exists", "OA(35,34)?"], [1226, 595, 288, 289, "exists", "switch skewhad<sup>2</sup>+*; 2-graph"], [1226, 630, 323, 324, "exists", "S(2,18,613)?; 2-graph"], [1229, 614, 306, 307, "exists", "Paley(1229); 2-graph*"], [1233, 396, 129, 126, "open", ""], [1233, 532, 231, 228, "open", ""], [1233, 616, 307, 308, "open", "2-graph*?"], [1233, 700, 395, 400, "open", "S(2,20,685)?"], [1233, 836, 565, 570, "open", ""], [1236, 95, 10, 7, "open", ""], [1236, 195, 34, 30, "open", ""], [1236, 500, 205, 200, "open", ""], [1236, 735, 434, 441, "open", "S(2,21,721)?"], [1236, 1040, 874, 880, "open", ""], [1236, 1140, 1051, 1056, "open", ""], [1237, 618, 308, 309, "exists", "Paley(1237); 2-graph*"], [1240, 231, 38, 44, "open", ""], [1240, 294, 68, 70, "open", ""], [1240, 483, 194, 184, "open", ""], [1240, 567, 246, 270, "open", ""], [1240, 672, 374, 352, "open", ""], [1240, 756, 456, 468, "open", ""], [1240, 945, 720, 720, "open", ""], [1240, 1008, 820, 816, "open", ""], [1241, 160, 24, 20, "open", "pg(16,9,2)?"], [1241, 310, 81, 76, "open", ""], [1241, 490, 189, 196, "open", ""], [1241, 620, 309, 310, "open", "2-graph*?"], [1241, 750, 455, 450, "open", ""], [1241, 930, 695, 702, "open", ""], [1241, 1080, 939, 945, "open", ""], [1242, 153, 24, 18, "open", "pg(17,8,2)?"], [1242, 425, 136, 150, "open", "pg(17,24,6)?"], [1242, 476, 205, 168, "open", ""], [1242, 765, 456, 495, "open", "pg(17,44,11)?"], [1242, 816, 540, 528, "open", ""], [1242, 1088, 952, 960, "open", ""], [1245, 622, 310, 311, "impossible", "Conf"], [1247, 126, 45, 9, "exists", "S(2,3,87)"], [1247, 1120, 1002, 1040, "exists", "pg(28,39,26)?"], [1248, 86, 4, 6, "open", ""], [1248, 203, 22, 35, "open", ""], [1248, 430, 258, 90, "impossible", "Absolute bound"], [1248, 522, 246, 198, "open", ""], [1248, 725, 400, 450, "open", ""], [1248, 817, 476, 646, "impossible", "Absolute bound"], [1248, 1044, 875, 864, "open", ""], [1248, 1161, 1080, 1080, "open", ""], [1249, 624, 311, 312, "exists", "Paley(1249); 2-graph*"], [1251, 270, 73, 54, "open", ""], [1251, 980, 763, 784, "open", "S(2,28,973)?"], [1253, 626, 312, 313, "impossible", "Conf"], [1254, 203, 52, 29, "open", ""], [1254, 560, 262, 240, "open", ""], [1254, 693, 372, 396, "open", "pg(21,32,12)?"], [1254, 1050, 875, 900, "open", "S(2,30,1045)?"], [1257, 628, 313, 314, "impossible", "Conf"], [1258, 432, 156, 144, "open", "S(2,12,408)?"], [1258, 825, 536, 550, "open", "pg(33,24,22)?"], [1261, 492, 171, 205, "open", "pg(12,40,5)?"], [1261, 574, 279, 246, "open", ""], [1261, 630, 314, 315, "open", "2-graph*?"], [1261, 686, 357, 392, "open", ""], [1261, 768, 480, 448, "open", ""], [1265, 480, 185, 180, "open", "pg(32,14,12)?"], [1265, 632, 315, 316, "impossible", "Conf"], [1265, 784, 483, 490, "open", ""], [1266, 385, 96, 126, "open", ""], [1266, 460, 186, 156, "open", ""], [1266, 805, 500, 532, "open", ""], [1266, 880, 620, 592, "open", ""], [1267, 186, 5, 31, "open", ""], [1267, 1080, 924, 900, "open", ""], [1269, 288, 42, 72, "open", "pg(8,35,2)?"], [1269, 634, 316, 317, "impossible", "Conf"], [1269, 980, 763, 735, "open", ""], [1270, 261, 36, 58, "open", "pg(9,28,2)?"], [1270, 1008, 804, 784, "open", ""], [1271, 160, 48, 16, "exists", "S(2,4,124)"], [1271, 1110, 965, 999, "exists", "pg(30,36,27)?"], [1273, 636, 317, 318, "impossible", "Conf"], [1274, 201, 40, 30, "open", ""], [1274, 228, 62, 36, "exists", "S(2,6,196)"], [1274, 475, 180, 175, "open", ""], [1274, 513, 192, 216, "open", ""], [1274, 760, 462, 440, "open", ""], [1274, 798, 497, 504, "open", ""], [1274, 1045, 852, 880, "exists", ""], [1274, 1072, 900, 912, "open", ""], [1275, 98, 13, 7, "open", ""], [1275, 98, 49, 4, "exists", "Triangular graph T(51)"], [1275, 234, 33, 45, "open", ""], [1275, 266, 49, 57, "open", "pg(14,18,3)?"], [1275, 336, 134, 72, "open", ""], [1275, 350, 85, 100, "open", "pg(14,24,4)?"], [1275, 364, 63, 120, "impossible", "Krein2"], [1275, 364, 113, 100, "open", ""], [1275, 378, 57, 135, "impossible", "Krein2"], [1275, 442, 153, 153, "open", ""], [1275, 490, 185, 190, "open", ""], [1275, 490, 225, 165, "open", ""], [1275, 504, 228, 180, "open", ""], [1275, 518, 193, 222, "open", "pg(14,36,6)?"], [1275, 546, 281, 198, "open", ""], [1275, 572, 247, 264, "open", ""], [1275, 702, 393, 378, "open", ""], [1275, 728, 379, 464, "open", ""], [1275, 756, 459, 432, "open", ""], [1275, 770, 445, 495, "open", "pg(14,54,9)?"], [1275, 784, 458, 520, "open", ""], [1275, 784, 483, 480, "open", ""], [1275, 832, 542, 544, "open", ""], [1275, 896, 652, 576, "impossible", "Krein1"], [1275, 910, 645, 660, "open", ""], [1275, 910, 665, 610, "impossible", "Krein1"], [1275, 924, 673, 660, "open", ""], [1275, 938, 673, 737, "open", "pg(14,66,11)?"], [1275, 1008, 798, 792, "open", ""], [1275, 1040, 850, 840, "open", ""], [1275, 1176, 1081, 1128, "exists", ""], [1275, 1176, 1084, 1092, "open", ""], [1276, 50, 0, 2, "open", ""], [1276, 204, 14, 36, "open", ""], [1276, 315, 58, 84, "open", ""], [1276, 330, 77, 88, "open", ""], [1276, 425, 144, 140, "open", ""], [1276, 459, 202, 144, "open", ""], [1276, 600, 284, 280, "open", ""], [1276, 675, 354, 360, "open", ""], [1276, 816, 500, 560, "open", ""], [1276, 850, 564, 570, "open", ""], [1276, 945, 702, 693, "open", ""], [1276, 960, 728, 704, "open", ""], [1276, 1071, 902, 882, "open", ""], [1276, 1225, 1176, 1176, "open", ""], [1277, 638, 318, 319, "exists", "Paley(1277); 2-graph*"], [1281, 440, 145, 154, "open", "pg(20,21,7)?"], [1281, 540, 243, 216, "open", ""], [1281, 640, 319, 320, "impossible", "Conf"], [1281, 740, 415, 444, "open", "pg(20,36,12)?"], [1281, 840, 553, 546, "open", ""], [1285, 528, 212, 220, "open", ""], [1285, 642, 320, 321, "open", "2-graph*?"], [1285, 756, 447, 441, "open", ""], [1288, 162, 36, 18, "open", "pg(27,5,3)?"], [1288, 195, 26, 30, "open", "pg(13,14,2)?"], [1288, 195, 54, 25, "exists", "S(2,5,161)"], [1288, 234, 80, 34, "open", ""], [1288, 312, 36, 88, "impossible", "Krein2"], [1288, 315, 98, 70, "open", ""], [1288, 429, 180, 124, "open", ""], [1288, 462, 161, 168, "open", "pg(22,20,8)?"], [1288, 495, 206, 180, "exists", ""], [1288, 567, 246, 252, "open", "pg(27,20,12)?"], [1288, 720, 404, 400, "open", ""], [1288, 792, 476, 504, "exists", "M<sub>24</sub> / 2.M<sub>12</sub>; pairs of dodecads; pg(22,35,14)?"], [1288, 825, 530, 525, "open", ""], [1288, 858, 552, 610, "open", ""], [1288, 972, 726, 756, "open", "pg(27,35,21)?"], [1288, 975, 750, 700, "impossible", "Krein1"], [1288, 1053, 852, 900, "open", ""], [1288, 1092, 921, 952, "exists", ""], [1288, 1092, 926, 924, "open", ""], [1288, 1125, 980, 1000, "open", ""], [1289, 644, 321, 322, "exists", "Paley(1289); 2-graph*"], [1293, 646, 322, 323, "impossible", "Conf"], [1295, 646, 321, 323, "exists", "pg(34,18,17)?; 2-graph*"], [1295, 648, 324, 324, "exists", "S(2,18,630)?; 2-graph*"], [1296, 70, 34, 2, "exists", "36<sup>2</sup>"], [1296, 105, 36, 6, "exists", "OA(36,3)"], [1296, 140, 40, 12, "exists", "OA(36,4)"], [1296, 175, 46, 20, "exists", "OA(36,5)"], [1296, 185, 4, 30, "open", ""], [1296, 185, 40, 24, "open", ""], [1296, 185, 58, 21, "open", ""], [1296, 210, 54, 30, "exists", "OA(36,6)"], [1296, 222, 18, 42, "open", ""], [1296, 245, 64, 42, "exists", "OA(36,7)"], [1296, 250, 40, 50, "open", ""], [1296, 259, 34, 56, "open", ""], [1296, 280, 76, 56, "exists", "OA(36,8)"], [1296, 296, 52, 72, "open", ""], [1296, 315, 90, 72, "exists", "OA(36,9)"], [1296, 333, 72, 90, "open", ""], [1296, 343, 70, 98, "open", ""], [1296, 350, 106, 90, "exists", "OA(36,10)"], [1296, 370, 94, 110, "open", ""], [1296, 385, 124, 110, "open", "OA(36,11)?"], [1296, 407, 118, 132, "open", ""], [1296, 420, 94, 156, "impossible", "Krein2"], [1296, 420, 144, 132, "open", "OA(36,12)?"], [1296, 434, 64, 186, "impossible", "Krein2; Absolute bound"], [1296, 435, 90, 174, "impossible", "Krein2; Absolute bound"], [1296, 444, 144, 156, "open", ""], [1296, 455, 166, 156, "open", "OA(36,13)?"], [1296, 481, 40, 260, "impossible", "Krein2; Absolute bound"], [1296, 481, 172, 182, "open", ""], [1296, 490, 190, 182, "open", "OA(36,14)?"], [1296, 518, 175, 228, "open", ""], [1296, 518, 202, 210, "open", ""], [1296, 518, 220, 198, "open", ""], [1296, 525, 216, 210, "open", "OA(36,15)?"], [1296, 555, 234, 240, "open", ""], [1296, 555, 274, 210, "open", ""], [1296, 560, 244, 240, "open", "OA(36,16)?"], [1296, 592, 268, 272, "open", ""], [1296, 595, 274, 272, "open", "OA(36,17)?"], [1296, 629, 304, 306, "exists", "RSHCD<sup>\u2013</sup>; 2-graph"], [1296, 630, 306, 306, "exists", "OA(36,18)?; Wallis (AR(2,9)+S(2,2,36)); RSHCD<sup>+</sup>; 2-graph"], [1296, 665, 340, 342, "exists", "OA(36,19)?; Wallis2 (AR(2,9)+S(2,2,36)); Goethals-Seidel(2,35); 2-graph"], [1296, 666, 342, 342, "exists", "from 2-(36,2,1) with 1-factor <a href=\"srgtabrefs.html#Fickus_et_al15\">Fickus et al.</a>; 2-graph"], [1296, 700, 376, 380, "open", "OA(36,20)?"], [1296, 703, 382, 380, "open", ""], [1296, 735, 414, 420, "open", "OA(36,21)?"], [1296, 740, 394, 460, "open", ""], [1296, 740, 424, 420, "open", ""], [1296, 770, 454, 462, "open", "OA(36,22)?"], [1296, 777, 456, 480, "open", ""], [1296, 777, 468, 462, "open", ""], [1296, 777, 486, 435, "open", ""], [1296, 805, 496, 506, "open", "OA(36,23)?"], [1296, 814, 514, 506, "open", ""], [1296, 814, 592, 374, "impossible", "Krein1; Absolute bound"], [1296, 840, 540, 552, "open", "OA(36,24)?"], [1296, 851, 562, 552, "open", ""], [1296, 860, 598, 516, "impossible", "Krein1; Absolute bound"], [1296, 861, 612, 492, "impossible", "Krein1; Absolute bound"], [1296, 875, 586, 600, "open", "OA(36,25)?"], [1296, 875, 610, 550, "impossible", "Krein1"], [1296, 888, 612, 600, "open", ""], [1296, 910, 634, 650, "open", "OA(36,26)?"], [1296, 925, 664, 650, "open", ""], [1296, 945, 684, 702, "exists", "OA(36,27)?"], [1296, 952, 706, 680, "open", ""], [1296, 962, 718, 702, "open", ""], [1296, 980, 736, 756, "exists", "OA(36,28)?"], [1296, 999, 774, 756, "open", ""], [1296, 1015, 790, 812, "exists", "OA(36,29)?"], [1296, 1036, 832, 812, "open", ""], [1296, 1045, 844, 836, "open", ""], [1296, 1050, 846, 870, "exists", "OA(36,30)?"], [1296, 1073, 892, 870, "open", ""], [1296, 1085, 904, 930, "exists", "OA(36,31)?"], [1296, 1110, 945, 984, "open", ""], [1296, 1110, 948, 966, "open", ""], [1296, 1110, 954, 930, "open", ""], [1296, 1120, 964, 992, "exists", "OA(36,32)?"], [1296, 1155, 1026, 1056, "exists", "OA(36,33)?"], [1296, 1190, 1090, 1122, "exists", "OA(36,34)?"], [1296, 1225, 1156, 1190, "exists", "OA(36,35)?"], [1297, 648, 323, 324, "exists", "Paley(1297); 2-graph*"], [1300, 432, 142, 144, "open", "pg(24,17,8)?"], [1300, 441, 154, 147, "open", ""], [1300, 516, 254, 172, "open", ""], [1300, 783, 438, 522, "open", "pg(9,86,6)?"], [1300, 858, 563, 572, "open", ""], [1300, 867, 578, 578, "open", ""]]
Browse the archive

https://nix-community.github.io/nixpkgs-swh/sources-unstable.json
