# Speed Evaluation
## Key Encapsulation Schemes
| scheme | implementation | key generation [cycles] | encapsulation [cycles] | decapsulation [cycles] |
| ------ | -------------- | ----------------------- | ---------------------- | ---------------------- |
| bikel1 (100 executions) | m4f | AVG: 25,066,749
MIN: 25,044,123
MAX: 25,093,265 | AVG: 3,396,189
MIN: 3,371,978
MAX: 3,421,250 | AVG: 51,312,929
MIN: 51,288,697
MAX: 51,338,076 |
| bikel1 (100 executions) | opt | AVG: 65,551,522
MIN: 65,536,266
MAX: 65,569,190 | AVG: 4,962,977
MIN: 4,944,655
MAX: 4,989,740 | AVG: 116,657,625
MIN: 116,639,290
MAX: 116,684,485 |
| firesaber (100 executions) | clean | AVG: 3,725,054
MIN: 3,725,018
MAX: 3,725,082 | AVG: 4,623,783
MIN: 4,623,773
MAX: 4,623,821 | AVG: 5,237,480
MIN: 5,237,439
MAX: 5,238,455 |
| firesaber (100 executions) | m4fspeed | AVG: 994,446
MIN: 994,445
MAX: 994,479 | AVG: 1,204,260
MIN: 1,204,257
MAX: 1,204,291 | AVG: 1,151,016
MIN: 1,151,014
MAX: 1,151,048 |
| firesaber (100 executions) | m4fstack | AVG: 1,319,646
MIN: 1,319,644
MAX: 1,319,680 | AVG: 1,615,256
MIN: 1,615,254
MAX: 1,615,289 | AVG: 1,595,646
MIN: 1,595,644
MAX: 1,595,678 |
| frodokem640aes (100 executions) | m4 | AVG: 48,341,743
MIN: 48,341,710
MAX: 48,341,749 | AVG: 47,131,691
MIN: 47,131,687
MAX: 47,131,697 | AVG: 46,612,335
MIN: 46,612,315
MAX: 46,612,355 |
| frodokem640shake (100 executions) | m4 | AVG: 77,984,424
MIN: 77,835,411
MAX: 77,989,050 | AVG: 78,893,964
MIN: 78,893,939
MAX: 78,893,977 | AVG: 78,341,812
MIN: 78,341,788
MAX: 78,341,829 |
| frodokem640shake (100 executions) | opt | AVG: 90,654,791
MIN: 90,654,775
MAX: 90,654,814 | AVG: 104,138,444
MIN: 104,138,419
MAX: 104,138,534 | AVG: 103,834,288
MIN: 103,834,251
MAX: 103,834,338 |
| hqc-rmrs-128 (100 executions) | clean | AVG: 2,967,262
MIN: 2,924,920
MAX: 3,153,007 | AVG: 5,415,022
MIN: 5,325,331
MAX: 5,590,378 | AVG: 7,845,462
MIN: 7,713,583
MAX: 8,205,411 |
| kyber1024 (100 executions) | clean | AVG: 1,637,602
MIN: 1,635,186
MAX: 1,649,476 | AVG: 2,010,657
MIN: 2,008,239
MAX: 2,022,536 | AVG: 2,148,861
MIN: 2,146,442
MAX: 2,160,739 |
| kyber1024 (100 executions) | m4 | AVG: 1,190,374
MIN: 1,185,257
MAX: 1,212,514 | AVG: 1,373,614
MIN: 1,368,598
MAX: 1,395,660 | AVG: 1,295,290
MIN: 1,290,241
MAX: 1,317,336 |
| kyber1024-90s (100 executions) | clean | AVG: 3,002,358
MIN: 3,000,594
MAX: 3,017,386 | AVG: 3,278,118
MIN: 3,276,347
MAX: 3,293,172 | AVG: 3,511,420
MIN: 3,509,649
MAX: 3,526,441 |
| kyber1024-90s (100 executions) | m4 | AVG: 1,033,049
MIN: 1,025,556
MAX: 1,042,122 | AVG: 1,130,066
MIN: 1,122,527
MAX: 1,139,198 | AVG: 1,146,844
MIN: 1,139,305
MAX: 1,155,976 |
| kyber512 (100 executions) | clean | AVG: 631,058
MIN: 630,445
MAX: 643,862 | AVG: 842,478
MIN: 841,864
MAX: 855,281 | AVG: 936,458
MIN: 935,844
MAX: 949,261 |
| kyber512 (100 executions) | m4 | AVG: 457,126
MIN: 456,044
MAX: 469,630 | AVG: 551,681
MIN: 550,598
MAX: 564,182 | AVG: 511,970
MIN: 510,889
MAX: 524,473 |
| kyber512-90s (100 executions) | clean | AVG: 944,546
MIN: 944,075
MAX: 944,961 | AVG: 1,114,167
MIN: 1,113,662
MAX: 1,114,581 | AVG: 1,259,241
MIN: 1,258,736
MAX: 1,259,655 |
| kyber512-90s (100 executions) | m4 | AVG: 392,855
MIN: 388,644
MAX: 397,231 | AVG: 445,609
MIN: 441,398
MAX: 449,985 | AVG: 456,990
MIN: 452,778
MAX: 461,365 |
| kyber768 (100 executions) | clean | AVG: 1,051,021
MIN: 1,049,570
MAX: 1,063,275 | AVG: 1,349,400
MIN: 1,347,982
MAX: 1,361,620 | AVG: 1,463,791
MIN: 1,462,338
MAX: 1,476,010 |
| kyber768 (100 executions) | m4 | AVG: 744,136
MIN: 742,205
MAX: 768,666 | AVG: 898,630
MIN: 896,676
MAX: 923,151 | AVG: 838,939
MIN: 836,985
MAX: 863,460 |
| kyber768-90s (100 executions) | clean | AVG: 1,811,726
MIN: 1,810,670
MAX: 1,827,045 | AVG: 2,034,922
MIN: 2,033,865
MAX: 2,050,240 | AVG: 2,222,406
MIN: 2,221,348
MAX: 2,237,723 |
| kyber768-90s (100 executions) | m4 | AVG: 656,589
MIN: 652,287
MAX: 661,063 | AVG: 735,172
MIN: 730,870
MAX: 739,646 | AVG: 748,573
MIN: 744,271
MAX: 753,047 |
| lightsaber (100 executions) | clean | AVG: 1,023,162
MIN: 1,023,162
MAX: 1,023,163 | AVG: 1,494,462
MIN: 1,494,456
MAX: 1,494,495 | AVG: 1,805,694
MIN: 1,805,691
MAX: 1,805,725 |
| lightsaber (100 executions) | m4fspeed | AVG: 352,196
MIN: 352,196
MAX: 352,229 | AVG: 481,006
MIN: 481,005
MAX: 481,038 | AVG: 452,654
MIN: 452,653
MAX: 452,687 |
| lightsaber (100 executions) | m4fstack | AVG: 422,434
MIN: 422,434
MAX: 422,467 | AVG: 591,556
MIN: 591,555
MAX: 591,588 | AVG: 581,073
MIN: 581,072
MAX: 581,106 |
| ntruhps2048509 (100 executions) | clean | AVG: 54,823,343
MIN: 54,823,152
MAX: 54,829,202 | AVG: 1,067,060
MIN: 1,067,057
MAX: 1,067,094 | AVG: 2,447,633
MIN: 2,447,627
MAX: 2,447,663 |
| ntruhps2048509 (100 executions) | m4f | AVG: 80,183,936
MIN: 80,183,840
MAX: 80,183,949 | AVG: 563,396
MIN: 563,395
MAX: 563,429 | AVG: 536,377
MIN: 536,376
MAX: 536,410 |
| ntruhps2048677 (100 executions) | clean | AVG: 100,624,357
MIN: 100,624,352
MAX: 100,624,361 | AVG: 1,802,130
MIN: 1,802,127
MAX: 1,802,161 | AVG: 4,306,200
MIN: 4,306,192
MAX: 4,306,227 |
| ntruhps2048677 (100 executions) | m4f | AVG: 143,750,608
MIN: 143,750,584
MAX: 143,750,627 | AVG: 820,054
MIN: 820,053
MAX: 820,087 | AVG: 812,608
MIN: 812,607
MAX: 812,640 |
| ntruhps4096821 (100 executions) | clean | AVG: 151,720,967
MIN: 151,720,960
MAX: 151,721,001 | AVG: 2,356,823
MIN: 2,356,819
MAX: 2,356,853 | AVG: 5,693,678
MIN: 5,693,667
MAX: 5,693,701 |
| ntruhps4096821 (100 executions) | m4f | AVG: 208,835,960
MIN: 208,835,935
MAX: 208,835,983 | AVG: 1,027,338
MIN: 1,027,337
MAX: 1,027,370 | AVG: 1,031,141
MIN: 1,031,141
MAX: 1,031,141 |
| ntruhrss701 (100 executions) | clean | AVG: 109,446,895
MIN: 109,446,874
MAX: 109,446,914 | AVG: 1,515,007
MIN: 1,515,004
MAX: 1,515,038 | AVG: 4,363,878
MIN: 4,363,870
MAX: 4,363,905 |
| ntruhrss701 (100 executions) | m4f | AVG: 149,737,679
MIN: 149,737,647
MAX: 149,737,686 | AVG: 375,948
MIN: 375,947
MAX: 375,981 | AVG: 867,921
MIN: 867,920
MAX: 867,953 |
| ntrulpr1013 (100 executions) | clean | AVG: 9,052,666
MIN: 9,052,649
MAX: 9,052,683 | AVG: 17,456,889
MIN: 17,456,887
MAX: 17,456,891 | AVG: 25,211,523
MIN: 25,211,503
MAX: 25,211,542 |
| ntrulpr1013 (100 executions) | m4f | AVG: 1,102,228
MIN: 1,102,226
MAX: 1,102,262 | AVG: 1,842,328
MIN: 1,842,325
MAX: 1,842,359 | AVG: 1,991,243
MIN: 1,991,240
MAX: 1,991,274 |
| ntrulpr1277 (100 executions) | clean | AVG: 13,975,045
MIN: 13,975,018
MAX: 13,975,053 | AVG: 27,077,837
MIN: 27,077,816
MAX: 27,077,852 | AVG: 39,376,240
MIN: 39,376,226
MAX: 39,376,266 |
| ntrulpr1277 (100 executions) | m4f | AVG: 1,420,658
MIN: 1,420,657
MAX: 1,420,691 | AVG: 2,341,222
MIN: 2,341,217
MAX: 2,341,253 | AVG: 2,530,410
MIN: 2,530,405
MAX: 2,530,440 |
| ntrulpr653 (100 executions) | clean | AVG: 4,262,181
MIN: 4,262,173
MAX: 4,262,207 | AVG: 8,152,021
MIN: 8,152,005
MAX: 8,152,040 | AVG: 11,603,045
MIN: 11,603,022
MAX: 11,603,057 |
| ntrulpr653 (100 executions) | m4f | AVG: 677,981
MIN: 677,980
MAX: 678,013 | AVG: 1,157,987
MIN: 1,157,986
MAX: 1,158,021 | AVG: 1,233,059
MIN: 1,233,056
MAX: 1,233,091 |
| ntrulpr761 (100 executions) | clean | AVG: 5,637,525
MIN: 5,637,514
MAX: 5,637,548 | AVG: 10,818,403
MIN: 10,818,382
MAX: 10,818,417 | AVG: 15,498,070
MIN: 15,498,040
MAX: 15,498,075 |
| ntrulpr761 (100 executions) | m4f | AVG: 726,507
MIN: 726,506
MAX: 726,540 | AVG: 1,312,278
MIN: 1,312,276
MAX: 1,312,311 | AVG: 1,393,675
MIN: 1,393,672
MAX: 1,393,708 |
| ntrulpr857 (100 executions) | clean | AVG: 7,011,303
MIN: 7,011,290
MAX: 7,011,325 | AVG: 13,497,170
MIN: 13,497,143
MAX: 13,497,178 | AVG: 19,427,758
MIN: 19,427,750
MAX: 19,427,787 |
| ntrulpr857 (100 executions) | m4f | AVG: 921,143
MIN: 921,142
MAX: 921,176 | AVG: 1,547,852
MIN: 1,547,849
MAX: 1,547,883 | AVG: 1,668,045
MIN: 1,668,042
MAX: 1,668,077 |
| ntrulpr953 (100 executions) | clean | AVG: 8,540,005
MIN: 8,539,989
MAX: 8,540,025 | AVG: 16,476,839
MIN: 16,476,806
MAX: 16,476,842 | AVG: 23,804,413
MIN: 23,804,398
MAX: 23,804,435 |
| ntrulpr953 (100 executions) | m4f | AVG: 1,007,380
MIN: 1,007,379
MAX: 1,007,412 | AVG: 1,677,959
MIN: 1,677,956
MAX: 1,677,991 | AVG: 1,795,115
MIN: 1,795,112
MAX: 1,795,146 |
| saber (100 executions) | clean | AVG: 2,136,066
MIN: 2,136,063
MAX: 2,136,099 | AVG: 2,808,330
MIN: 2,808,325
MAX: 2,808,360 | AVG: 3,279,876
MIN: 3,279,865
MAX: 3,280,057 |
| saber (100 executions) | m4fspeed | AVG: 645,222
MIN: 645,221
MAX: 645,255 | AVG: 820,799
MIN: 820,798
MAX: 820,832 | AVG: 774,055
MIN: 774,054
MAX: 774,089 |
| saber (100 executions) | m4fstack | AVG: 820,044
MIN: 820,043
MAX: 820,077 | AVG: 1,059,170
MIN: 1,059,168
MAX: 1,059,202 | AVG: 1,038,683
MIN: 1,038,681
MAX: 1,038,715 |
| sikep434 (3 executions) | m4 | AVG: 48,264,607
MIN: 48,264,586
MAX: 48,264,619 | AVG: 78,910,673
MIN: 78,910,650
MAX: 78,910,687 | AVG: 84,275,488
MIN: 84,275,487
MAX: 84,275,490 |
| sikep434 (3 executions) | opt | AVG: 642,929,598
MIN: 642,929,525
MAX: 642,929,648 | AVG: 1,053,016,085
MIN: 1,053,015,970
MAX: 1,053,016,185 | AVG: 1,123,128,815
MIN: 1,123,128,701
MAX: 1,123,129,014 |
| sikep503 (3 executions) | m4 | AVG: 67,365,114
MIN: 67,365,114
MAX: 67,365,114 | AVG: 110,843,233
MIN: 110,843,213
MAX: 110,843,246 | AVG: 117,990,911
MIN: 117,990,909
MAX: 117,990,915 |
| sikep503 (3 executions) | opt | AVG: 973,165,635
MIN: 973,165,466
MAX: 973,165,731 | AVG: 1,603,575,963
MIN: 1,603,575,924
MAX: 1,603,576,005 | AVG: 1,705,351,483
MIN: 1,705,351,462
MAX: 1,705,351,501 |
| sikep610 (3 executions) | m4 | AVG: 119,448,800
MIN: 119,448,799
MAX: 119,448,802 | AVG: 219,578,087
MIN: 219,578,076
MAX: 219,578,110 | AVG: 220,969,907
MIN: 220,969,906
MAX: 220,969,909 |
| sikep610 (3 executions) | opt | AVG: 1,819,890,092
MIN: 1,819,890,048
MAX: 1,819,890,116 | AVG: 3,348,338,910
MIN: 3,348,338,872
MAX: 3,348,338,953 | AVG: 3,368,186,884
MIN: 3,368,186,866
MAX: 3,368,186,913 |
| sikep751 (3 executions) | m4 | AVG: 204,602,404
MIN: 204,602,342
MAX: 204,602,480 | AVG: 331,863,483
MIN: 331,863,456
MAX: 331,863,518 | AVG: 356,346,637
MIN: 356,346,629
MAX: 356,346,647 |
| sikep751 (3 executions) | opt | AVG: 3,288,104,083
MIN: 3,288,104,032
MAX: 3,288,104,117 | AVG: 5,332,588,530
MIN: 5,332,588,502
MAX: 5,332,588,553 | AVG: 5,727,763,554
MIN: 5,727,763,504
MAX: 5,727,763,632 |
| sntrup1013 (100 executions) | clean | AVG: 247,468,244
MIN: 245,634,978
MAX: 337,296,998 | AVG: 8,740,051
MIN: 8,740,034
MAX: 8,740,069 | AVG: 26,809,743
MIN: 26,809,722
MAX: 26,809,761 |
| sntrup1013 (100 executions) | m4f | AVG: 13,955,859
MIN: 13,929,581
MAX: 16,554,582 | AVG: 1,031,757
MIN: 1,031,756
MAX: 1,031,789 | AVG: 838,171
MIN: 838,170
MAX: 838,204 |
| sntrup1277 (100 executions) | clean | AVG: 393,058,337
MIN: 385,951,901
MAX: 528,080,467 | AVG: 13,576,829
MIN: 13,576,804
MAX: 13,576,839 | AVG: 42,363,757
MIN: 42,363,737
MAX: 42,363,776 |
| sntrup1277 (100 executions) | m4f | AVG: 22,989,117
MIN: 22,873,302
MAX: 26,733,435 | AVG: 1,326,335
MIN: 1,326,333
MAX: 1,326,368 | AVG: 1,071,964
MIN: 1,071,962
MAX: 1,071,996 |
| sntrup653 (100 executions) | clean | AVG: 102,879,347
MIN: 102,506,263
MAX: 139,813,864 | AVG: 4,060,121
MIN: 4,060,114
MAX: 4,060,148 | AVG: 11,723,295
MIN: 11,723,272
MAX: 11,723,307 |
| sntrup653 (100 executions) | m4f | AVG: 6,714,568
MIN: 6,627,693
MAX: 7,868,628 | AVG: 631,853
MIN: 631,851
MAX: 631,885 | AVG: 486,707
MIN: 486,706
MAX: 486,740 |
| sntrup761 (100 executions) | clean | AVG: 141,913,579
MIN: 141,913,560
MAX: 141,913,604 | AVG: 5,395,672
MIN: 5,395,662
MAX: 5,395,698 | AVG: 15,828,809
MIN: 15,828,778
MAX: 15,828,813 |
| sntrup761 (100 executions) | m4f | AVG: 7,951,328
MIN: 7,951,312
MAX: 7,951,347 | AVG: 683,652
MIN: 683,651
MAX: 683,685 | AVG: 538,141
MIN: 538,140
MAX: 538,175 |
| sntrup857 (100 executions) | clean | AVG: 179,091,448
MIN: 179,091,421
MAX: 179,091,464 | AVG: 6,742,099
MIN: 6,742,086
MAX: 6,742,120 | AVG: 20,002,037
MIN: 20,002,029
MAX: 20,002,066 |
| sntrup857 (100 executions) | m4f | AVG: 10,264,255
MIN: 10,264,235
MAX: 10,264,271 | AVG: 853,302
MIN: 853,301
MAX: 853,335 | AVG: 689,920
MIN: 689,919
MAX: 689,952 |
| sntrup953 (100 executions) | clean | AVG: 222,055,140
MIN: 222,055,124
MAX: 222,055,172 | AVG: 8,240,747
MIN: 8,240,732
MAX: 8,240,767 | AVG: 24,678,459
MIN: 24,678,442
MAX: 24,678,479 |
| sntrup953 (100 executions) | m4f | AVG: 12,761,557
MIN: 12,761,535
MAX: 12,761,571 | AVG: 943,350
MIN: 943,350
MAX: 943,350 | AVG: 744,434
MIN: 744,432
MAX: 744,467 |
## Signature Schemes
| scheme | implementation | key generation [cycles] | sign [cycles] | verify [cycles] |
| ------ | -------------- | ----------------------- | ------------- | --------------- |
| dilithium2 (100 executions) | clean | AVG: 1,976,311
MIN: 1,934,124
MAX: 2,022,613 | AVG: 7,465,108
MIN: 3,241,343
MAX: 29,601,126 | AVG: 2,109,292
MIN: 2,108,823
MAX: 2,109,692 |
| dilithium2 (100 executions) | m4 | AVG: 1,600,049
MIN: 1,559,631
MAX: 1,635,473 | AVG: 3,911,523
MIN: 2,029,960
MAX: 10,277,114 | AVG: 1,578,382
MIN: 1,577,841
MAX: 1,578,755 |
| dilithium2aes (100 executions) | clean | AVG: 5,153,665
MIN: 5,109,045
MAX: 5,227,715 | AVG: 12,016,668
MIN: 6,375,642
MAX: 28,738,015 | AVG: 4,824,282
MIN: 4,779,372
MAX: 4,898,600 |
| dilithium3 (100 executions) | clean | AVG: 3,414,513
MIN: 3,413,395
MAX: 3,416,061 | AVG: 11,722,059
MIN: 5,037,981
MAX: 36,169,675 | AVG: 3,499,388
MIN: 3,498,955
MAX: 3,499,805 |
| dilithium3 (100 executions) | m4 | AVG: 2,834,440
MIN: 2,833,207
MAX: 2,835,702 | AVG: 7,081,175
MIN: 3,285,236
MAX: 25,164,695 | AVG: 2,699,909
MIN: 2,699,582
MAX: 2,700,229 |
| dilithium3aes (100 executions) | clean | AVG: 9,258,325
MIN: 9,166,749
MAX: 9,369,734 | AVG: 19,417,325
MIN: 10,745,071
MAX: 60,023,085 | AVG: 8,581,938
MIN: 8,491,758
MAX: 8,694,807 |
| falcon-1024 (100 executions) | clean | AVG: 582,455,197
MIN: 338,850,289
MAX: 1,754,663,445 | AVG: 133,655,078
MIN: 133,335,905
MAX: 133,985,773 | AVG: 1,526,901
MIN: 1,526,233
MAX: 1,527,648 |
| falcon-1024 (100 executions) | m4-ct | AVG: 458,300,837
MIN: 273,960,881
MAX: 1,558,842,038 | AVG: 85,160,712
MIN: 84,941,964
MAX: 85,410,952 | AVG: 977,811
MIN: 966,969
MAX: 985,555 |
| falcon-1024 (100 executions) | opt-ct | AVG: 445,577,914
MIN: 273,960,881
MAX: 1,180,316,927 | AVG: 85,152,483
MIN: 84,871,257
MAX: 85,396,462 | AVG: 978,443
MIN: 966,990
MAX: 985,220 |
| falcon-1024 (100 executions) | opt-leaktime | AVG: 396,490,108
MIN: 245,602,676
MAX: 1,076,623,891 | AVG: 76,089,647
MIN: 75,695,829
MAX: 76,600,726 | AVG: 977,058
MIN: 967,423
MAX: 986,715 |
| falcon-512 (100 executions) | clean | AVG: 211,957,111
MIN: 130,945,749
MAX: 492,061,202 | AVG: 61,138,869
MIN: 60,832,802
MAX: 61,335,655 | AVG: 765,394
MIN: 764,968
MAX: 765,937 |
| falcon-512 (100 executions) | m4-ct | AVG: 163,994,060
MIN: 102,641,420
MAX: 517,362,211 | AVG: 39,014,427
MIN: 38,837,777
MAX: 39,185,566 | AVG: 473,061
MIN: 464,925
MAX: 482,045 |
| falcon-512 (100 executions) | opt-ct | AVG: 162,462,958
MIN: 102,641,423
MAX: 410,657,402 | AVG: 38,998,943
MIN: 38,805,455
MAX: 39,227,786 | AVG: 473,858
MIN: 464,522
MAX: 481,541 |
| falcon-512 (100 executions) | opt-leaktime | AVG: 154,023,655
MIN: 90,621,912
MAX: 416,634,647 | AVG: 35,418,669
MIN: 35,077,960
MAX: 35,817,105 | AVG: 475,004
MIN: 464,624
MAX: 481,707 |
| falcon-512-tree (100 executions) | m4-ct | AVG: 200,716,259
MIN: 117,772,104
MAX: 550,287,458 | AVG: 17,709,471
MIN: 17,507,110
MAX: 17,939,069 | AVG: 474,694
MIN: 464,292
MAX: 480,687 |
| falcon-512-tree (100 executions) | opt-ct | AVG: 198,586,636
MIN: 117,772,108
MAX: 467,465,996 | AVG: 17,714,893
MIN: 17,510,506
MAX: 17,952,496 | AVG: 474,203
MIN: 464,503
MAX: 480,655 |
| falcon-512-tree (100 executions) | opt-leaktime | AVG: 165,284,792
MIN: 102,064,281
MAX: 409,882,849 | AVG: 19,254,787
MIN: 18,900,271
MAX: 19,544,577 | AVG: 474,008
MIN: 464,495
MAX: 480,972 |
| picnic3l1 (100 executions) | opt | AVG: 60,417
MIN: 60,417
MAX: 60,465 | AVG: 303,854,132
MIN: 303,833,000
MAX: 303,870,270 | AVG: 203,717,449
MIN: 203,659,962
MAX: 203,778,545 |
| picnic3l1 (100 executions) | opt-mem | AVG: 60,419
MIN: 60,419
MAX: 60,466 | AVG: 310,337,761
MIN: 310,284,407
MAX: 310,381,893 | AVG: 204,428,518
MIN: 204,365,229
MAX: 204,474,589 |
| picnicl1fs (100 executions) | opt | AVG: 97,504
MIN: 97,504
MAX: 97,504 | AVG: 290,644,617
MIN: 290,643,187
MAX: 290,645,503 | AVG: 127,240,102
MIN: 127,230,240
MAX: 127,250,497 |
| picnicl1full (100 executions) | opt | AVG: 58,122
MIN: 58,122
MAX: 58,145 | AVG: 215,002,162
MIN: 215,001,045
MAX: 215,003,020 | AVG: 95,473,666
MIN: 95,458,092
MAX: 95,487,616 |
| sphincs-haraka-128f-robust (3 executions) | clean | AVG: 105,846,270
MIN: 105,846,258
MAX: 105,846,293 | AVG: 2,685,388,480
MIN: 2,682,943,233
MAX: 2,689,929,636 | AVG: 172,472,494
MIN: 170,143,524
MAX: 174,335,672 |
| sphincs-haraka-128f-simple (3 executions) | clean | AVG: 73,970,415
MIN: 73,970,405
MAX: 73,970,435 | AVG: 1,861,103,613
MIN: 1,860,043,188
MAX: 1,861,756,199 | AVG: 115,058,935
MIN: 113,100,792
MAX: 118,730,462 |
| sphincs-haraka-128s-robust (3 executions) | clean | AVG: 6,739,168,653
MIN: 6,739,168,651
MAX: 6,739,168,658 | AVG: 53,499,410,785
MIN: 53,497,780,342
MAX: 53,500,226,027 | AVG: 66,075,544
MIN: 65,260,377
MAX: 67,705,852 |
| sphincs-haraka-128s-simple (3 executions) | clean | AVG: 4,697,105,419
MIN: 4,697,105,405
MAX: 4,697,105,438 | AVG: 36,995,658,276
MIN: 36,993,536,693
MAX: 36,996,963,861 | AVG: 43,745,574
MIN: 41,950,604
MAX: 45,132,564 |
| sphincs-haraka-192f-robust (3 executions) | clean | AVG: 157,000,403
MIN: 157,000,390
MAX: 157,000,427 | AVG: 4,697,019,410
MIN: 4,694,572,079
MAX: 4,699,117,109 | AVG: 262,491,722
MIN: 261,093,062
MAX: 263,540,743 |
| sphincs-haraka-192f-simple (3 executions) | clean | AVG: 108,980,946
MIN: 108,980,889
MAX: 108,981,056 | AVG: 3,128,988,618
MIN: 3,127,355,454
MAX: 3,131,520,416 | AVG: 170,287,414
MIN: 165,632,236
MAX: 174,942,575 |
| sphincs-haraka-192s-robust (3 executions) | clean | AVG: 10,014,008,298
MIN: 10,014,008,278
MAX: 10,014,008,311 | AVG: 105,056,922,735
MIN: 105,054,757,320
MAX: 105,058,668,316 | AVG: 103,830,928
MIN: 103,131,652
MAX: 104,879,871 |
| sphincs-haraka-192s-simple (3 executions) | clean | AVG: 6,937,852,288
MIN: 6,937,852,256
MAX: 6,937,852,314 | AVG: 68,492,226,848
MIN: 68,491,492,011
MAX: 68,492,717,226 | AVG: 65,344,777
MIN: 64,446,161
MAX: 66,896,631 |
| sphincs-haraka-256f-robust (3 executions) | clean | AVG: 419,681,954
MIN: 419,681,954
MAX: 419,681,956 | AVG: 9,850,397,824
MIN: 9,848,648,639
MAX: 9,852,147,036 | AVG: 285,552,621
MIN: 284,619,501
MAX: 287,068,957 |
| sphincs-haraka-256f-simple (3 executions) | clean | AVG: 289,718,169
MIN: 289,718,158
MAX: 289,718,188 | AVG: 6,620,999,794
MIN: 6,618,631,102
MAX: 6,622,306,678 | AVG: 185,282,107
MIN: 183,157,086
MAX: 188,551,365 |
| sphincs-haraka-256s-robust (3 executions) | clean | AVG: 6,706,134,015
MIN: 6,706,133,996
MAX: 6,706,134,029 | AVG: 104,498,811,219
MIN: 104,495,079,548
MAX: 104,502,076,680 | AVG: 155,820,204
MIN: 152,438,629
MAX: 158,735,384 |
| sphincs-haraka-256s-simple (3 executions) | clean | AVG: 4,625,711,696
MIN: 4,625,711,692
MAX: 4,625,711,700 | AVG: 68,392,331,427
MIN: 68,392,004,226
MAX: 68,392,739,939 | AVG: 99,503,426
MIN: 97,951,662
MAX: 101,626,886 |
| sphincs-sha256-128f-robust (3 executions) | clean | AVG: 30,514,763
MIN: 30,513,199
MAX: 30,517,857 | AVG: 750,242,822
MIN: 749,245,139
MAX: 751,117,282 | AVG: 43,920,038
MIN: 42,549,739
MAX: 45,427,596 |
| sphincs-sha256-128f-simple (3 executions) | clean | AVG: 16,112,474
MIN: 16,112,452
MAX: 16,112,486 | AVG: 400,443,378
MIN: 399,872,395
MAX: 401,227,289 | AVG: 22,548,002
MIN: 21,220,896
MAX: 23,344,299 |
| sphincs-sha256-128s-robust (3 executions) | clean | AVG: 1,953,252,957
MIN: 1,953,203,029
MAX: 1,953,283,562 | AVG: 14,682,924,206
MIN: 14,682,577,057
MAX: 14,683,447,032 | AVG: 14,800,944
MIN: 14,287,206
MAX: 15,314,696 |
| sphincs-sha256-128s-simple (3 executions) | clean | AVG: 1,031,754,884
MIN: 1,031,697,789
MAX: 1,031,857,298 | AVG: 7,848,131,084
MIN: 7,847,374,226
MAX: 7,848,685,121 | AVG: 7,710,684
MIN: 7,392,187
MAX: 8,082,296 |
| sphincs-sha256-192f-robust (3 executions) | clean | AVG: 45,161,761
MIN: 45,160,801
MAX: 45,163,648 | AVG: 1,250,907,661
MIN: 1,250,145,348
MAX: 1,251,553,620 | AVG: 67,089,973
MIN: 66,469,940
MAX: 68,123,479 |
| sphincs-sha256-192f-simple (3 executions) | clean | AVG: 23,719,514
MIN: 23,719,478
MAX: 23,719,549 | AVG: 669,328,611
MIN: 669,178,936
MAX: 669,551,667 | AVG: 33,644,995
MIN: 33,075,699
MAX: 34,249,859 |
| sphincs-sha256-192s-robust (3 executions) | clean | AVG: 2,889,565,189
MIN: 2,889,565,181
MAX: 2,889,565,194 | AVG: 26,752,674,216
MIN: 26,752,212,852
MAX: 26,753,101,424 | AVG: 23,937,976
MIN: 23,352,631
MAX: 24,592,207 |
| sphincs-sha256-192s-simple (3 executions) | clean | AVG: 1,517,383,421
MIN: 1,517,383,393
MAX: 1,517,383,438 | AVG: 14,389,146,341
MIN: 14,388,794,580
MAX: 14,389,383,836 | AVG: 11,980,389
MIN: 11,962,594
MAX: 12,015,965 |
| sphincs-sha256-256f-robust (3 executions) | clean | AVG: 164,849,751
MIN: 164,849,735
MAX: 164,849,771 | AVG: 3,446,568,163
MIN: 3,444,179,128
MAX: 3,447,826,714 | AVG: 95,785,564
MIN: 95,024,873
MAX: 96,308,552 |
| sphincs-sha256-256f-simple (3 executions) | clean | AVG: 62,594,489
MIN: 62,594,395
MAX: 62,594,642 | AVG: 1,341,551,848
MIN: 1,341,225,951
MAX: 1,341,989,219 | AVG: 35,486,542
MIN: 34,650,880
MAX: 35,931,028 |
| sphincs-sha256-256s-robust (3 executions) | clean | AVG: 2,633,046,124
MIN: 2,633,040,905
MAX: 2,633,049,685 | AVG: 32,385,483,145
MIN: 32,384,617,054
MAX: 32,386,410,035 | AVG: 49,641,286
MIN: 48,834,691
MAX: 51,112,106 |
| sphincs-sha256-256s-simple (3 executions) | clean | AVG: 998,095,638
MIN: 997,347,809
MAX: 998,589,315 | AVG: 12,862,955,551
MIN: 12,862,600,996
MAX: 12,863,573,206 | AVG: 17,548,744
MIN: 17,018,036
MAX: 18,185,596 |
| sphincs-shake256-128f-robust (3 executions) | clean | AVG: 113,338,476
MIN: 113,338,464
MAX: 113,338,500 | AVG: 2,785,018,905
MIN: 2,784,114,964
MAX: 2,786,826,725 | AVG: 160,268,333
MIN: 157,944,173
MAX: 162,979,848 |
| sphincs-shake256-128f-simple (3 executions) | clean | AVG: 59,754,709
MIN: 59,754,686
MAX: 59,754,722 | AVG: 1,481,251,054
MIN: 1,479,336,058
MAX: 1,482,703,829 | AVG: 85,436,452
MIN: 84,379,828
MAX: 87,351,601 |
| sphincs-shake256-128s-robust (3 executions) | clean | AVG: 7,255,215,585
MIN: 7,255,215,557
MAX: 7,255,215,614 | AVG: 54,570,043,397
MIN: 54,569,139,474
MAX: 54,570,689,038 | AVG: 57,484,752
MIN: 56,193,513
MAX: 58,905,069 |
| sphincs-shake256-128s-simple (3 executions) | clean | AVG: 3,825,053,911
MIN: 3,825,053,906
MAX: 3,825,053,919 | AVG: 29,084,221,948
MIN: 29,083,561,440
MAX: 29,084,552,215 | AVG: 29,558,987
MIN: 29,162,750
MAX: 29,757,120 |
| sphincs-shake256-192f-robust (3 executions) | clean | AVG: 167,141,787
MIN: 167,141,764
MAX: 167,141,800 | AVG: 4,463,872,206
MIN: 4,461,133,615
MAX: 4,467,002,050 | AVG: 237,573,255
MIN: 235,486,783
MAX: 239,398,861 |
| sphincs-shake256-192f-simple (3 executions) | clean | AVG: 88,327,026
MIN: 88,327,025
MAX: 88,327,028 | AVG: 2,409,662,836
MIN: 2,407,991,965
MAX: 2,411,200,065 | AVG: 122,523,477
MIN: 121,453,985
MAX: 123,659,802 |
| sphincs-shake256-192s-robust (3 executions) | clean | AVG: 10,697,444,146
MIN: 10,697,444,105
MAX: 10,697,444,177 | AVG: 93,294,080,159
MIN: 93,293,428,231
MAX: 93,294,992,860 | AVG: 83,021,157
MIN: 82,629,899
MAX: 83,412,391 |
| sphincs-shake256-192s-simple (3 executions) | clean | AVG: 5,652,487,728
MIN: 5,652,487,718
MAX: 5,652,487,744 | AVG: 50,820,128,418
MIN: 50,818,391,083
MAX: 50,821,398,019 | AVG: 42,085,525
MIN: 41,417,100
MAX: 43,021,304 |
| sphincs-shake256-256f-robust (3 executions) | clean | AVG: 444,889,911
MIN: 444,889,895
MAX: 444,889,934 | AVG: 8,993,855,912
MIN: 8,993,065,785
MAX: 8,995,436,121 | AVG: 245,607,215
MIN: 243,105,337
MAX: 247,845,725 |
| sphincs-shake256-256f-simple (3 executions) | clean | AVG: 235,431,549
MIN: 235,431,547
MAX: 235,431,551 | AVG: 4,862,202,181
MIN: 4,859,430,666
MAX: 4,864,297,738 | AVG: 126,499,038
MIN: 125,146,650
MAX: 128,392,418 |
| sphincs-shake256-256s-robust (3 executions) | clean | AVG: 7,116,955,982
MIN: 7,116,955,971
MAX: 7,116,956,001 | AVG: 81,034,023,028
MIN: 81,032,311,123
MAX: 81,035,076,510 | AVG: 118,824,499
MIN: 117,244,769
MAX: 120,404,198 |
| sphincs-shake256-256s-simple (3 executions) | clean | AVG: 3,764,083,718
MIN: 3,764,083,699
MAX: 3,764,083,747 | AVG: 44,854,626,450
MIN: 44,852,599,234
MAX: 44,856,247,631 | AVG: 60,503,704
MIN: 60,030,819
MAX: 61,246,868 |
# Memory Evaluation
## Key Encapsulation Schemes
| Scheme | Implementation | Key Generation [bytes] | Encapsulation [bytes] | Decapsulation [bytes] |
| ------ | -------------- | ---------------------- | --------------------- | --------------------- |
| bikel1 | m4f | 44,068 | 32,116 | 91,368 |
| bikel1 | opt | 35,852 | 25,868 | 78,548 |
| firesaber | clean | 19,340 | 19,444 | 20,924 |
| firesaber | m4fspeed | 7,668 | 8,340 | 8,348 |
| firesaber | m4fstack | 4,300 | 3,316 | 3,324 |
| frodokem640aes | m4 | 31,984 | 62,480 | 83,104 |
| frodokem640shake | m4 | 26,408 | 51,784 | 72,408 |
| frodokem640shake | opt | 36,480 | 58,136 | 78,760 |
| hqc-rmrs-128 | clean | 48,828 | 64,412 | 71,148 |
| kyber1024 | clean | 15,076 | 18,748 | 20,324 |
| kyber1024 | m4 | 3,604 | 3,284 | 3,316 |
| kyber1024-90s | clean | 15,340 | 19,020 | 20,596 |
| kyber1024-90s | m4 | 4,636 | 4,000 | 4,032 |
| kyber512 | clean | 6,100 | 8,764 | 9,540 |
| kyber512 | m4 | 2,212 | 2,300 | 2,316 |
| kyber512-90s | clean | 6,548 | 9,212 | 9,988 |
| kyber512-90s | m4 | 2,904 | 2,992 | 3,008 |
| kyber768 | clean | 10,196 | 13,364 | 14,460 |
| kyber768 | m4 | 3,092 | 2,772 | 2,796 |
| kyber768-90s | clean | 10,652 | 13,820 | 14,916 |
| kyber768-90s | m4 | 3,432 | 3,504 | 3,520 |
| lightsaber | clean | 9,320 | 9,424 | 10,168 |
| lightsaber | m4fspeed | 5,612 | 6,284 | 6,292 |
| lightsaber | m4fstack | 3,276 | 3,052 | 3,060 |
| ntruhps2048509 | clean | 25,420 | 20,532 | 18,884 |
| ntruhps2048509 | m4f | 21,400 | 14,068 | 14,800 |
| ntruhps2048677 | clean | 34,288 | 27,780 | 25,572 |
| ntruhps2048677 | m4f | 28,504 | 19,980 | 19,728 |
| ntruhps4096821 | clean | 40,984 | 33,060 | 30,460 |
| ntruhps4096821 | m4f | 34,504 | 23,140 | 23,952 |
| ntruhrss701 | clean | 32,908 | 26,164 | 25,972 |
| ntruhrss701 | m4f | 27,560 | 18,324 | 20,560 |
| ntrulpr1013 | clean | 14,288 | 14,544 | 16,536 |
| ntrulpr1013 | m4f | 25,716 | 30,420 | 35,692 |
| ntrulpr1277 | clean | 17,984 | 18,104 | 20,624 |
| ntrulpr1277 | m4f | 44,452 | 50,204 | 56,796 |
| ntrulpr653 | clean | 11,864 | 12,056 | 13,304 |
| ntrulpr653 | m4f | 12,680 | 15,952 | 19,424 |
| ntrulpr761 | clean | 10,768 | 11,064 | 12,552 |
| ntrulpr761 | m4f | 16,224 | 19,912 | 23,944 |
| ntrulpr857 | clean | 15,632 | 15,704 | 17,376 |
| ntrulpr857 | m4f | 24,364 | 28,436 | 32,932 |
| ntrulpr953 | clean | 13,456 | 13,736 | 15,592 |
| ntrulpr953 | m4f | 25,164 | 29,628 | 34,596 |
| saber | clean | 12,904 | 13,008 | 14,112 |
| saber | m4fspeed | 6,644 | 7,316 | 7,324 |
| saber | m4fstack | 3,788 | 3,180 | 3,188 |
| sikep434 | m4 | 6,208 | 6,496 | 6,832 |
| sikep434 | opt | 6,744 | 7,032 | 7,312 |
| sikep503 | m4 | 6,976 | 7,328 | 7,704 |
| sikep503 | opt | 6,656 | 7,008 | 7,384 |
| sikep610 | m4 | 10,520 | 10,920 | 11,384 |
| sikep610 | opt | 10,096 | 10,496 | 10,968 |
| sikep751 | m4 | 12,288 | 12,296 | 12,864 |
| sikep751 | opt | 11,640 | 11,760 | 12,220 |
| sntrup1013 | clean | 16,316 | 12,400 | 14,992 |
| sntrup1013 | m4f | 102,704 | 25,932 | 30,772 |
| sntrup1277 | clean | 20,664 | 15,552 | 18,816 |
| sntrup1277 | m4f | 90,232 | 32,452 | 38,524 |
| sntrup653 | clean | 10,664 | 7,992 | 9,664 |
| sntrup653 | m4f | 91,568 | 12,792 | 16,088 |
| sntrup761 | clean | 12,284 | 9,256 | 11,200 |
| sntrup761 | m4f | 102,544 | 16,368 | 20,008 |
| sntrup857 | clean | 13,928 | 10,504 | 12,592 |
| sntrup857 | m4f | 102,200 | 24,548 | 28,852 |
| sntrup953 | clean | 15,472 | 11,584 | 14,128 |
| sntrup953 | m4f | 89,112 | 25,372 | 29,908 |
## Signature Schemes
| Scheme | Implementation | Key Generation [bytes] | Sign [bytes] | Verify [bytes] |
| ------ | -------------- | ---------------------- | ------------ | -------------- |
| dilithium2 | clean | 38,284 | 51,908 | 36,196 |
| dilithium2 | m4 | 38,276 | 51,900 | 36,188 |
| dilithium2aes | clean | 39,764 | 53,388 | 37,676 |
| dilithium3 | clean | 60,812 | 79,664 | 57,700 |
| dilithium3 | m4 | 60,804 | 79,548 | 57,692 |
| dilithium3aes | clean | 62,292 | 81,036 | 59,180 |
| falcon-1024 | clean | 36,264 | 82,428 | 8,796 |
| falcon-1024 | m4-ct | 1,488 | 2,568 | 496 |
| falcon-1024 | opt-ct | 1,448 | 2,568 | 388 |
| falcon-1024 | opt-leaktime | 1,472 | 2,664 | 388 |
| falcon-512 | clean | 18,368 | 42,404 | 4,700 |
| falcon-512 | m4-ct | 1,488 | 2,592 | 388 |
| falcon-512 | opt-ct | 1,400 | 2,592 | 388 |
| falcon-512 | opt-leaktime | 1,392 | 2,568 | 388 |
| falcon-512-tree | m4-ct | 1,480 | 2,776 | 388 |
| falcon-512-tree | opt-ct | 1,480 | 2,776 | 388 |
| falcon-512-tree | opt-leaktime | 1,464 | 2,792 | 388 |
| picnic3l1 | opt | 800 | 32,244 | 32,236 |
| picnic3l1 | opt-mem | 808 | 24,656 | 32,444 |
| picnicl1fs | opt | 684 | 4,052 | 4,052 |
| picnicl1full | opt | 800 | 4,224 | 3,528 |
| sphincs-haraka-128f-robust | clean | 3,620 | 3,712 | 4,172 |
| sphincs-haraka-128f-simple | clean | 3,612 | 3,676 | 4,164 |
| sphincs-haraka-128s-robust | clean | 3,944 | 3,904 | 3,476 |
| sphincs-haraka-128s-simple | clean | 3,856 | 3,896 | 3,468 |
| sphincs-haraka-192f-robust | clean | 5,036 | 5,184 | 5,396 |
| sphincs-haraka-192f-simple | clean | 5,028 | 5,096 | 5,388 |
| sphincs-haraka-192s-robust | clean | 5,376 | 5,344 | 4,732 |
| sphincs-haraka-192s-simple | clean | 5,368 | 5,336 | 4,724 |
| sphincs-haraka-256f-robust | clean | 7,056 | 7,104 | 7,004 |
| sphincs-haraka-256f-simple | clean | 7,048 | 7,096 | 6,996 |
| sphincs-haraka-256s-robust | clean | 7,408 | 7,248 | 6,624 |
| sphincs-haraka-256s-simple | clean | 7,320 | 7,240 | 6,588 |
| sphincs-sha256-128f-robust | clean | 2,256 | 2,320 | 2,808 |
| sphincs-sha256-128f-simple | clean | 2,104 | 2,168 | 2,656 |
| sphincs-sha256-128s-robust | clean | 2,472 | 2,544 | 2,112 |
| sphincs-sha256-128s-simple | clean | 2,432 | 2,392 | 1,960 |
| sphincs-sha256-192f-robust | clean | 3,680 | 3,832 | 4,040 |
| sphincs-sha256-192f-simple | clean | 3,520 | 3,560 | 3,880 |
| sphincs-sha256-192s-robust | clean | 4,104 | 3,992 | 3,376 |
| sphincs-sha256-192s-simple | clean | 3,944 | 3,832 | 3,216 |
| sphincs-sha256-256f-robust | clean | 5,792 | 5,760 | 5,656 |
| sphincs-sha256-256f-simple | clean | 5,512 | 5,592 | 5,488 |
| sphincs-sha256-256s-robust | clean | 6,064 | 5,904 | 5,360 |
| sphincs-sha256-256s-simple | clean | 5,896 | 5,736 | 5,080 |
| sphincs-shake256-128f-robust | clean | 2,012 | 2,176 | 2,556 |
| sphincs-shake256-128f-simple | clean | 2,012 | 2,068 | 2,556 |
| sphincs-shake256-128s-robust | clean | 2,336 | 2,288 | 1,860 |
| sphincs-shake256-128s-simple | clean | 2,336 | 2,288 | 1,860 |
| sphincs-shake256-192f-robust | clean | 3,436 | 3,576 | 3,788 |
| sphincs-shake256-192f-simple | clean | 3,436 | 3,468 | 3,788 |
| sphincs-shake256-192s-robust | clean | 3,856 | 3,736 | 3,124 |
| sphincs-shake256-192s-simple | clean | 3,856 | 3,736 | 3,124 |
| sphincs-shake256-256f-robust | clean | 5,436 | 5,504 | 5,404 |
| sphincs-shake256-256f-simple | clean | 5,436 | 5,504 | 5,404 |
| sphincs-shake256-256s-robust | clean | 5,816 | 5,648 | 4,996 |
| sphincs-shake256-256s-simple | clean | 5,816 | 5,648 | 4,996 |
# Hashing Evaluation
## Key Encapsulation Schemes
| Scheme | Implementation | Key Generation [%] | Encapsulation [%] | Decapsulation [%] |
| ------ | -------------- | ------------------ | ----------------- | ----------------- |
| bikel1 | m4f | 0.7% | 15.1% | 1.0% |
| bikel1 | opt | 0.3% | 10.3% | 0.4% |
| firesaber | clean | 19.1% | 18.9% | 14.1% |
| firesaber | m4fspeed | 71.4% | 72.7% | 64.0% |
| firesaber | m4fstack | 53.9% | 54.2% | 46.2% |
| frodokem640aes | m4 | 74.3% | 77.8% | 77.1% |
| frodokem640shake | m4 | 84.7% | 86.3% | 86.0% |
| frodokem640shake | opt | 74.3% | 65.4% | 64.9% |
| hqc-rmrs-128 | clean | 53.7% | 41.4% | 33.3% |
| kyber1024 | clean | 54.4% | 53.8% | 42.7% |
| kyber1024 | m4 | 74.8% | 78.7% | 70.8% |
| kyber1024-90s | clean | 73.8% | 70.5% | 64.0% |
| kyber1024-90s | m4 | 67.0% | 69.5% | 62.8% |
| kyber512 | clean | 54.7% | 51.7% | 37.1% |
| kyber512 | m4 | 75.4% | 78.9% | 67.7% |
| kyber512-90s | clean | 68.8% | 62.8% | 52.7% |
| kyber512-90s | m4 | 68.3% | 71.0% | 61.3% |
| kyber768 | clean | 52.8% | 52.4% | 39.7% |
| kyber768 | m4 | 74.5% | 78.5% | 69.1% |
| kyber768-90s | clean | 71.5% | 67.4% | 59.5% |
| kyber768-90s | m4 | 66.6% | 69.7% | 61.7% |
| lightsaber | clean | 24.9% | 23.8% | 15.5% |
| lightsaber | m4fspeed | 72.3% | 74.0% | 61.9% |
| lightsaber | m4fstack | 60.3% | 60.2% | 48.2% |
| ntruhps2048509 | clean | 0.0% | 2.4% | 4.1% |
| ntruhps2048509 | m4f | 0.0% | 4.5% | 18.9% |
| ntruhps2048677 | clean | 0.0% | 2.1% | 3.2% |
| ntruhps2048677 | m4f | 0.0% | 4.6% | 17.0% |
| ntruhps4096821 | clean | 0.0% | 1.6% | 2.9% |
| ntruhps4096821 | m4f | 0.0% | 3.7% | 15.9% |
| ntruhrss701 | clean | 0.0% | 2.5% | 3.5% |
| ntruhrss701 | m4f | 0.0% | 10.0% | 17.5% |
| ntrulpr1013 | clean | 6.5% | 6.9% | 4.3% |
| ntrulpr1013 | m4f | 30.5% | 51.6% | 42.4% |
| ntrulpr1277 | clean | 5.3% | 5.6% | 3.5% |
| ntrulpr1277 | m4f | 29.7% | 50.7% | 41.7% |
| ntrulpr653 | clean | 9.0% | 9.8% | 6.2% |
| ntrulpr653 | m4f | 32.4% | 54.5% | 45.4% |
| ntrulpr761 | clean | 7.9% | 8.5% | 5.4% |
| ntrulpr761 | m4f | 23.8% | 41.0% | 38.6% |
| ntrulpr857 | clean | 7.1% | 7.6% | 4.8% |
| ntrulpr857 | m4f | 30.8% | 52.3% | 43.2% |
| ntrulpr953 | clean | 6.5% | 6.9% | 4.3% |
| ntrulpr953 | m4f | 31.2% | 53.3% | 44.3% |
| saber | clean | 21.9% | 21.4% | 15.1% |
| saber | m4fspeed | 72.6% | 74.0% | 63.9% |
| saber | m4fstack | 57.2% | 57.4% | 47.6% |
| sikep434 | m4 | 0.0% | 0.1% | 0.1% |
| sikep434 | opt | 0.0% | 0.0% | 0.0% |
| sikep503 | m4 | 0.0% | 0.1% | 0.1% |
| sikep503 | opt | 0.0% | 0.0% | 0.0% |
| sikep610 | m4 | 0.0% | 0.1% | 0.1% |
| sikep610 | opt | 0.0% | 0.0% | 0.0% |
| sikep751 | m4 | 0.0% | 0.0% | 0.0% |
| sikep751 | opt | 0.0% | 0.0% | 0.0% |
| sntrup1013 | clean | 0.0% | 3.0% | 0.6% |
| sntrup1013 | m4f | 0.8% | 27.8% | 20.4% |
| sntrup1277 | clean | 0.0% | 2.4% | 0.5% |
| sntrup1277 | m4f | 0.7% | 26.2% | 18.4% |
| sntrup653 | clean | 0.1% | 4.2% | 1.0% |
| sntrup653 | m4f | 1.1% | 29.9% | 24.2% |
| sntrup761 | clean | 0.1% | 3.7% | 0.8% |
| sntrup761 | m4f | 0.0% | 0.0% | 0.0% |
| sntrup857 | clean | 0.1% | 3.2% | 0.7% |
| sntrup857 | m4f | 1.0% | 27.3% | 19.6% |
| sntrup953 | clean | 0.0% | 2.9% | 0.7% |
| sntrup953 | m4f | 0.8% | 28.5% | 21.8% |
## Signature Schemes
| Scheme | Implementation | Key Generation [%] | Sign [%] | Verify [%] |
| ------ | -------------- | ------------------ | -------- | ---------- |
| dilithium2 | clean | 67.1% | 37.3% | 60.1% |
| dilithium2 | m4 | 82.6% | 64.0% | 80.1% |
| dilithium2aes | clean | 2.7% | 3.3% | 5.0% |
| dilithium3 | clean | 70.5% | 37.0% | 63.6% |
| dilithium3 | m4 | 84.9% | 63.8% | 82.3% |
| dilithium3aes | clean | 2.2% | 2.5% | 3.5% |
| falcon-1024 | clean | 8.4% | 0.3% | 26.9% |
| falcon-1024 | m4-ct | 10.6% | 0.5% | 34.2% |
| falcon-1024 | opt-ct | 11.1% | 0.5% | 34.3% |
| falcon-1024 | opt-leaktime | 13.1% | 0.5% | 34.1% |
| falcon-512 | clean | 14.9% | 0.4% | 29.3% |
| falcon-512 | m4-ct | 18.5% | 0.5% | 35.8% |
| falcon-512 | opt-ct | 16.7% | 0.5% | 36.0% |
| falcon-512 | opt-leaktime | 19.8% | 0.6% | 35.8% |
| falcon-512-tree | m4-ct | 18.0% | 1.1% | 35.8% |
| falcon-512-tree | opt-ct | 16.5% | 1.1% | 35.9% |
| falcon-512-tree | opt-leaktime | 19.3% | 1.1% | 35.8% |
| picnic3l1 | opt | 0.0% | 69.5% | 84.0% |
| picnic3l1 | opt-mem | 0.0% | 71.0% | 85.5% |
| picnicl1fs | opt | 0.0% | 28.3% | 29.7% |
| picnicl1full | opt | 0.0% | 38.0% | 39.4% |
| sphincs-haraka-128f-robust | clean | 0.0% | 0.0% | 0.0% |
| sphincs-haraka-128f-simple | clean | 0.0% | 0.0% | 0.0% |
| sphincs-haraka-128s-robust | clean | 0.0% | 0.0% | 0.0% |
| sphincs-haraka-128s-simple | clean | 0.0% | 0.0% | 0.0% |
| sphincs-haraka-192f-robust | clean | 0.0% | 0.0% | 0.0% |
| sphincs-haraka-192f-simple | clean | 0.0% | 0.0% | 0.0% |
| sphincs-haraka-192s-robust | clean | 0.0% | 0.0% | 0.0% |
| sphincs-haraka-192s-simple | clean | 0.0% | 0.0% | 0.0% |
| sphincs-haraka-256f-robust | clean | 0.0% | 0.0% | 0.0% |
| sphincs-haraka-256f-simple | clean | 0.0% | 0.0% | 0.0% |
| sphincs-haraka-256s-robust | clean | 0.0% | 0.0% | 0.0% |
| sphincs-haraka-256s-simple | clean | 0.0% | 0.0% | 0.0% |
| sphincs-sha256-128f-robust | clean | 88.2% | 88.1% | 88.3% |
| sphincs-sha256-128f-simple | clean | 85.8% | 85.7% | 85.7% |
| sphincs-sha256-128s-robust | clean | 88.2% | 88.1% | 88.2% |
| sphincs-sha256-128s-simple | clean | 85.8% | 85.7% | 85.6% |
| sphincs-sha256-192f-robust | clean | 87.7% | 87.9% | 88.1% |
| sphincs-sha256-192f-simple | clean | 85.4% | 85.7% | 85.7% |
| sphincs-sha256-192s-robust | clean | 87.8% | 88.0% | 88.3% |
| sphincs-sha256-192s-simple | clean | 85.4% | 85.8% | 86.1% |
| sphincs-sha256-256f-robust | clean | 91.3% | 91.3% | 91.7% |
| sphincs-sha256-256f-simple | clean | 85.1% | 85.4% | 85.5% |
| sphincs-sha256-256s-robust | clean | 91.4% | 91.5% | 91.9% |
| sphincs-sha256-256s-simple | clean | 85.5% | 85.9% | 86.1% |
| sphincs-shake256-128f-robust | clean | 97.4% | 97.4% | 97.4% |
| sphincs-shake256-128f-simple | clean | 95.7% | 95.7% | 95.6% |
| sphincs-shake256-128s-robust | clean | 97.4% | 97.4% | 97.4% |
| sphincs-shake256-128s-simple | clean | 95.7% | 95.7% | 95.6% |
| sphincs-shake256-192f-robust | clean | 97.4% | 97.3% | 97.4% |
| sphincs-shake256-192f-simple | clean | 95.6% | 95.6% | 95.6% |
| sphincs-shake256-192s-robust | clean | 97.4% | 97.3% | 97.4% |
| sphincs-shake256-192s-simple | clean | 95.7% | 95.6% | 95.5% |
| sphincs-shake256-256f-robust | clean | 97.3% | 97.3% | 97.4% |
| sphincs-shake256-256f-simple | clean | 95.6% | 95.6% | 95.6% |
| sphincs-shake256-256s-robust | clean | 97.4% | 97.2% | 97.4% |
| sphincs-shake256-256s-simple | clean | 95.7% | 95.5% | 95.6% |
# Size Evaluation
## Key Encapsulation Schemes
| Scheme | Implementation | .text [bytes] | .data [bytes] | .bss [bytes] | Total [bytes] |
| ------ | -------------- | ------------- | ------------- | ------------ | ------------- |
| bikel1 | m4f | 181,560 | 24 | 49 | 181,633 |
| bikel1 | opt | 35,051 | 24 | 1 | 35,076 |
| firesaber | clean | 10,220 | 0 | 0 | 10,220 |
| firesaber | m4fspeed | 18,792 | 0 | 0 | 18,792 |
| firesaber | m4fstack | 19,536 | 0 | 0 | 19,536 |
| frodokem640aes | m4 | 8,568 | 0 | 0 | 8,568 |
| frodokem640shake | m4 | 8,644 | 0 | 0 | 8,644 |
| frodokem640shake | opt | 6,796 | 0 | 0 | 6,796 |
| hqc-rmrs-128 | clean | 18,436 | 0 | 0 | 18,436 |
| kyber1024 | clean | 6,084 | 0 | 0 | 6,084 |
| kyber1024 | m4 | 11,640 | 0 | 0 | 11,640 |
| kyber1024-90s | clean | 6,468 | 0 | 0 | 6,468 |
| kyber1024-90s | m4 | 11,920 | 0 | 0 | 11,920 |
| kyber512 | clean | 4,900 | 0 | 0 | 4,900 |
| kyber512 | m4 | 10,700 | 0 | 0 | 10,700 |
| kyber512-90s | clean | 5,144 | 0 | 0 | 5,144 |
| kyber512-90s | m4 | 10,912 | 0 | 0 | 10,912 |
| kyber768 | clean | 4,912 | 0 | 0 | 4,912 |
| kyber768 | m4 | 10,816 | 0 | 0 | 10,816 |
| kyber768-90s | clean | 5,176 | 0 | 0 | 5,176 |
| kyber768-90s | m4 | 10,796 | 0 | 0 | 10,796 |
| lightsaber | clean | 10,368 | 0 | 0 | 10,368 |
| lightsaber | m4fspeed | 18,900 | 0 | 0 | 18,900 |
| lightsaber | m4fstack | 19,712 | 0 | 0 | 19,712 |
| ntruhps2048509 | clean | 64,644 | 0 | 0 | 64,644 |
| ntruhps2048509 | m4f | 99,588 | 0 | 0 | 99,588 |
| ntruhps2048677 | clean | 17,304 | 0 | 0 | 17,304 |
| ntruhps2048677 | m4f | 149,988 | 0 | 0 | 149,988 |
| ntruhps4096821 | clean | 17,064 | 0 | 0 | 17,064 |
| ntruhps4096821 | m4f | 171,308 | 0 | 0 | 171,308 |
| ntruhrss701 | clean | 16,724 | 0 | 0 | 16,724 |
| ntruhrss701 | m4f | 160,244 | 0 | 0 | 160,244 |
| ntrulpr1013 | clean | 8,536 | 0 | 0 | 8,536 |
| ntrulpr1013 | m4f | 36,396 | 0 | 0 | 36,396 |
| ntrulpr1277 | clean | 7,928 | 0 | 0 | 7,928 |
| ntrulpr1277 | m4f | 56,524 | 0 | 0 | 56,524 |
| ntrulpr653 | clean | 7,532 | 0 | 0 | 7,532 |
| ntrulpr653 | m4f | 21,496 | 0 | 0 | 21,496 |
| ntrulpr761 | clean | 7,988 | 0 | 0 | 7,988 |
| ntrulpr761 | m4f | 35,481 | 0 | 0 | 35,481 |
| ntrulpr857 | clean | 8,276 | 0 | 0 | 8,276 |
| ntrulpr857 | m4f | 143,432 | 0 | 0 | 143,432 |
| ntrulpr953 | clean | 8,488 | 0 | 0 | 8,488 |
| ntrulpr953 | m4f | 132,444 | 0 | 0 | 132,444 |
| saber | clean | 10,128 | 0 | 0 | 10,128 |
| saber | m4fspeed | 18,708 | 0 | 0 | 18,708 |
| saber | m4fstack | 19,428 | 0 | 0 | 19,428 |
| sikep434 | m4 | 29,604 | 0 | 0 | 29,604 |
| sikep434 | opt | 28,236 | 0 | 0 | 28,236 |
| sikep503 | m4 | 31,580 | 0 | 0 | 31,580 |
| sikep503 | opt | 26,436 | 0 | 0 | 26,436 |
| sikep610 | m4 | 29,424 | 0 | 0 | 29,424 |
| sikep610 | opt | 19,424 | 0 | 0 | 19,424 |
| sikep751 | m4 | 33,016 | 0 | 0 | 33,016 |
| sikep751 | opt | 21,068 | 0 | 0 | 21,068 |
| sntrup1013 | clean | 14,432 | 0 | 0 | 14,432 |
| sntrup1013 | m4f | 388,372 | 0 | 0 | 388,372 |
| sntrup1277 | clean | 13,288 | 0 | 0 | 13,288 |
| sntrup1277 | m4f | 455,956 | 0 | 0 | 455,956 |
| sntrup653 | clean | 12,488 | 0 | 0 | 12,488 |
| sntrup653 | m4f | 237,580 | 0 | 0 | 237,580 |
| sntrup761 | clean | 13,228 | 0 | 0 | 13,228 |
| sntrup761 | m4f | 350,545 | 0 | 0 | 350,545 |
| sntrup857 | clean | 13,632 | 0 | 0 | 13,632 |
| sntrup857 | m4f | 597,996 | 0 | 0 | 597,996 |
| sntrup953 | clean | 14,388 | 0 | 0 | 14,388 |
| sntrup953 | m4f | 545,612 | 0 | 0 | 545,612 |
## Signature Schemes
| Scheme | Implementation | .text [bytes] | .data [bytes] | .bss [bytes] | Total [bytes] |
| ------ | -------------- | ------------- | ------------- | ------------ | ------------- |
| dilithium2 | clean | 7,948 | 0 | 0 | 7,948 |
| dilithium2 | m4 | 10,556 | 0 | 0 | 10,556 |
| dilithium2aes | clean | 14,982 | 0 | 0 | 14,982 |
| dilithium3 | clean | 7,444 | 0 | 0 | 7,444 |
| dilithium3 | m4 | 10,076 | 0 | 0 | 10,076 |
| dilithium3aes | clean | 14,470 | 0 | 0 | 14,470 |
| falcon-1024 | clean | 82,285 | 0 | 0 | 82,285 |
| falcon-1024 | m4-ct | 81,265 | 0 | 79,872 | 161,137 |
| falcon-1024 | opt-ct | 81,265 | 0 | 79,872 | 161,137 |
| falcon-1024 | opt-leaktime | 74,461 | 0 | 79,872 | 154,333 |
| falcon-512 | clean | 82,253 | 0 | 0 | 82,253 |
| falcon-512 | m4-ct | 81,265 | 0 | 39,936 | 121,201 |
| falcon-512 | opt-ct | 81,265 | 0 | 39,936 | 121,201 |
| falcon-512 | opt-leaktime | 74,461 | 0 | 39,936 | 114,397 |
| falcon-512-tree | m4-ct | 81,005 | 0 | 27,648 | 108,653 |
| falcon-512-tree | opt-ct | 81,005 | 0 | 27,648 | 108,653 |
| falcon-512-tree | opt-leaktime | 74,201 | 0 | 27,648 | 101,849 |
| picnic3l1 | opt | 80,392 | 1,092 | 13 | 81,497 |
| picnic3l1 | opt-mem | 92,928 | 1,092 | 13 | 94,033 |
| picnicl1fs | opt | 54,962 | 1,072 | 0 | 56,034 |
| picnicl1full | opt | 104,956 | 1,072 | 0 | 106,028 |
| sphincs-haraka-128f-robust | clean | 16,600 | 0 | 0 | 16,600 |
| sphincs-haraka-128f-simple | clean | 16,448 | 0 | 0 | 16,448 |
| sphincs-haraka-128s-robust | clean | 16,912 | 0 | 0 | 16,912 |
| sphincs-haraka-128s-simple | clean | 16,764 | 0 | 0 | 16,764 |
| sphincs-haraka-192f-robust | clean | 16,656 | 0 | 0 | 16,656 |
| sphincs-haraka-192f-simple | clean | 16,472 | 0 | 0 | 16,472 |
| sphincs-haraka-192s-robust | clean | 17,172 | 0 | 0 | 17,172 |
| sphincs-haraka-192s-simple | clean | 16,988 | 0 | 0 | 16,988 |
| sphincs-haraka-256f-robust | clean | 17,048 | 0 | 0 | 17,048 |
| sphincs-haraka-256f-simple | clean | 16,804 | 0 | 0 | 16,804 |
| sphincs-haraka-256s-robust | clean | 17,340 | 0 | 0 | 17,340 |
| sphincs-haraka-256s-simple | clean | 17,096 | 0 | 0 | 17,096 |
| sphincs-sha256-128f-robust | clean | 4,756 | 0 | 0 | 4,756 |
| sphincs-sha256-128f-simple | clean | 4,508 | 0 | 0 | 4,508 |
| sphincs-sha256-128s-robust | clean | 5,068 | 0 | 0 | 5,068 |
| sphincs-sha256-128s-simple | clean | 4,820 | 0 | 0 | 4,820 |
| sphincs-sha256-192f-robust | clean | 5,040 | 0 | 0 | 5,040 |
| sphincs-sha256-192f-simple | clean | 4,672 | 0 | 0 | 4,672 |
| sphincs-sha256-192s-robust | clean | 5,564 | 0 | 0 | 5,564 |
| sphincs-sha256-192s-simple | clean | 5,192 | 0 | 0 | 5,192 |
| sphincs-sha256-256f-robust | clean | 5,528 | 0 | 0 | 5,528 |
| sphincs-sha256-256f-simple | clean | 5,060 | 0 | 0 | 5,060 |
| sphincs-sha256-256s-robust | clean | 5,816 | 0 | 0 | 5,816 |
| sphincs-sha256-256s-simple | clean | 5,344 | 0 | 0 | 5,344 |
| sphincs-shake256-128f-robust | clean | 4,028 | 0 | 0 | 4,028 |
| sphincs-shake256-128f-simple | clean | 3,888 | 0 | 0 | 3,888 |
| sphincs-shake256-128s-robust | clean | 4,340 | 0 | 0 | 4,340 |
| sphincs-shake256-128s-simple | clean | 4,196 | 0 | 0 | 4,196 |
| sphincs-shake256-192f-robust | clean | 4,128 | 0 | 0 | 4,128 |
| sphincs-shake256-192f-simple | clean | 3,956 | 0 | 0 | 3,956 |
| sphincs-shake256-192s-robust | clean | 4,644 | 0 | 0 | 4,644 |
| sphincs-shake256-192s-simple | clean | 4,472 | 0 | 0 | 4,472 |
| sphincs-shake256-256f-robust | clean | 4,532 | 0 | 0 | 4,532 |
| sphincs-shake256-256f-simple | clean | 4,320 | 0 | 0 | 4,320 |
| sphincs-shake256-256s-robust | clean | 4,820 | 0 | 0 | 4,820 |
| sphincs-shake256-256s-simple | clean | 4,612 | 0 | 0 | 4,612 |