Measurements of public-key signature systems on one machine: amd64; Zen 3 (a20f10); 2020 AMD Ryzen 5 5600X; 6 x 3700MHz; unstable; spawn, supercop-20231215
[Page version: 20251103 11:56:25]
eBATS
(ECRYPT Benchmarking
of Asymmetric Systems)
is a project
to measure the performance of public-key systems.
This page presents benchmark results collected in eBATS
for public-key signature systems:
- Time (cycles) to generate a key pair:
a secret key and a corresponding public key.
- Time to sign a short message (59 bytes).
- Time to open a signed short message,
i.e., to verify a (larger) signed message and recover the original short message.
- Space (bytes) for a secret key.
- Space for a public key.
- Space for a signature on a 0-byte message.
- Space for a signature on a 23-byte message:
i.e.,
the signed-message length minus 23 bytes.
- Space for a signature on a long message:
i.e.,
the signed-message length minus the message length.
For signature systems that support "message recovery",
the space for a signature on a long message
is shorter than the space for a signature on a short message.
Each table row lists
the first quartile of many speed measurements,
the median of many speed measurements,
the third quartile of many speed measurements, and
the name of the primitive.
Measurements with large variance are indicated in red with question marks.
The symbol
T:
(starting with supercop-20200816)
means that the SUPERCOP database
at the time of benchmarking did not list constant time
as a goal for this implementation.
The symbol
T!!!
means that constant time was listed as a goal for this implementation,
but that the implementation failed TIMECOP.
(TIMECOP failures are not necessarily security issues;
they can sometimes be resolved by, e.g., declaring that a rejection-sampling condition is safe to declassify.)
There is a
separate page
with more information about each signature system and each implementation.
Designers and implementors
interested in submitting new signature systems
and new implementations of existing signature systems
should read the call for submissions.
Test results
Graphs:
(pkcycles,pkbytes)
(smcycles,sbytes)
(mcycles,pkbytes)
(mcycles,sbytes)
(pkbytes,sbytes)
NISTPQC graphs:
(pkcycles,pkbytes)
(smcycles,sbytes)
(mcycles,pkbytes)
(mcycles,sbytes)
(pkbytes,sbytes)
Measurement failures: ntrumls401x, ntrumls439x, ntrumls593x, ntrumls743x, qtesla128, qtesla192, qtesla256
| Cycles to generate a key pair |
| 25% | 50% | 75% | system |
| 2035 | 2072 | 2109 | picnicl1full |
| 2701 | 2738 | 2960 | picnic3l1 |
| 2812 | 2812 | 2849 | picnicl3full |
| 2960 | 3034 | 3071 | picnic3l3 |
| 3552 | 3626 | 3663 | picnic3l5 |
| 3589 | 3663 | 3737 | picnicl5full |
| 3737 | 3774 | 3811 | T: picnic2l1fs |
| 3922 | 3959 | 4033 | picnicl1fs |
| 3922 | 3959 | 4033 | picnicl1ur |
| 6660 | 6697 | 6771 | picnicl3ur |
| 6771 | 6808 | 6882 | picnicl3fs |
| 7770 | 7807 | 8029 | T: picnic2l3fs |
| 9250 | 9324 | 9472 | T: picnic2l5fs |
| 9398 | 9509 | 9583 | picnicl5ur |
| 9583 | 9657 | 9731 | picnicl5fs |
| 16724 | 16798 | 18278 | T: lattisigns512 |
| 37888 | 38110 | 38258 | ed25519 |
| 38443 | 38665 | 39035 | dilithium2aes |
| 59718 | 60162 | 60791 | dilithium3aes |
| 68635 | 68968 | 69375 | T: ecdonaldp256 |
| 93684 | 94017 | 94424 | dilithium5aes |
| 113257 | 113479 | 113997 | dilithium3 |
| 113775 | 114663 | 115218 | T: ecdonaldp224 |
| 155992 | 157361 | 158175 | T: ed448goldilocks |
| 158582 | 161468 | 163429 | T: pass769 |
| 182965 | 186369 | 191512 | T: pass863 |
| 208976 | 210789 | 211233 | dilithium2 |
| 360047 | 362119 | 368150 | T: donald1024 |
| 502275 | 507381 | 515484 | T: ecdonaldp160 |
| 512080 | 516002 | 530950 | T: ecdonaldk163 |
| 522033 | 527139 | 528027 | T: sphincsf128harakasimple |
| 528434 | 532208 | 535797 | T: ecdonaldb163 |
| 547378 | 549191 | 552817 | T: ecdonaldp521 |
| 560883 | 566729 | 570429 | dilithium5 |
| 563177? | 570281? | 1076515? | T: mqdss48 |
| 592740 | 597328 | 598993 | T: sphincsf128harakarobust |
| 606245 | 609131 | 614903 | T: ecdonaldp192 |
| 708328 | 715321 | 723202 | T: ecdonaldk233 |
| 725718 | 730787 | 744921 | T: ecdonaldb233 |
| 789543 | 802530 | 805823 | T: sphincsf192harakasimple |
| 957745 | 965959 | 978909 | T: sphincsf192harakarobust |
| 889628? | 1182779? | 1706477? | T: qtesla1 |
| 1189254 | 1195433 | 1205645 | T: donald2048 |
| 1200354 | 1207532 | 1215228 | T: ecdonaldk283 |
| 1268989? | 1279793? | 2271393? | T: ecdonaldb283 |
| 1307506 | 1313167 | 1321529 | T: mqdss64 |
| 1805563? | 1869647? | 3482736? | T: qtesla3f |
| 2042289 | 2055683 | 2075811 | T: ecdonaldk409 |
| 2159653 | 2169273 | 2193323 | T: ecdonaldb409 |
| 2273613 | 2280310 | 2295406 | T: sphincsf256harakasimple |
| 2299624 | 2301030 | 2314239 | T: sphincs256 |
| 2286526 | 2301622 | 2385353 | T: ecdonaldp384 |
| 2420614 | 2431085 | 2457947 | T: sphincsf256harakarobust |
| 3417653 | 3430825 | 3877859 | T: luov863256 |
| 2759904? | 3633955? | 6262435? | T: qtesla3s |
| 3739775 | 3766341 | 3793166 | T: sphincsf128shake256simple |
| 4446290 | 4464494 | 4543711 | T: ecdonaldk571 |
| 4724086 | 4745250 | 4775849 | T: ecdonaldb571 |
| 4186143? | 4786542? | 5342060? | T: qtesla1p |
| 5647828 | 5675726 | 5719756 | T: sphincsf192shake256simple |
| 6742214 | 6779214 | 6893433 | T: rainbowbinary256181212 |
| 7102187 | 7176335 | 7202198 | T: sphincsf128shake256robust |
| 7367514 | 7423569 | 7449580 | T: luov863256pc |
| 10059597 | 10105847 | 10158609 | T: sphincsf192shake256robust |
| 12083201 | 12226909 | 12399440 | T: rainbow1aclassic363232 |
| 12880403 | 12954033 | 13058299 | T: rainbow1acyclicc363232 |
| 12881883 | 12963024 | 13054969 | T: rainbow1acompres363232 |
| 14290510 | 14384305 | 14719340 | T: sphincsf256shake256simple |
| 15072949 | 15131002 | 15259614 | T: sphincss128harakasimple |
| 14888393 | 15451718 | 16762924 | T: falcon512tree |
| 15131150 | 15463299 | 16360993 | T: luov4849242 |
| 15472401 | 15521907 | 16392961 | T: luov890351 |
| 14835816 | 15674014 | 16903487 | T: falcon512dyn |
| 18235672 | 18270748 | 18413938 | T: sphincss128harakarobust |
| 25477201 | 25522304 | 25991390 | T: sphincss192harakasimple |
| 20990174? | 26015403? | 30834949? | T: qtesla3p |
| 25898224 | 26415669 | 28340557 | T: luov8117404 |
| 27521562 | 27648324 | 27895336 | T: sphincsf256shake256robust |
| 28773531 | 28864514 | 29043076 | T: luov890351pc |
| 29732497 | 29881496 | 29989129 | T: sphincss192harakarobust |
| 30013142 | 30089695 | 30497990 | T: sphincss256harakasimple |
| 31941138 | 32140568 | 32759874 | T: rainbowbinary16242020 |
| 38682834 | 38774853 | 39126205 | T: sphincss256harakarobust |
| 38864171 | 38972174 | 39307283 | T: gemss128 |
| 42892361 | 44486617 | 44765930 | T: bluegemss128 |
| 45525318 | 45819135 | 46610528 | T: redgemss128 |
| 46586663 | 47235310 | 50093449 | T: falcon1024dyn |
| 46092417 | 48147064 | 50815800 | T: falcon1024tree |
| 48254808 | 48376945 | 48695848 | T: luov8117404pc |
| 48384012 | 48516509 | 48701805 | T: gemss128v2 |
| 47786906 | 49599869 | 49731256 | T: bluegemss128v2 |
| 50716048 | 50785941 | 50972384 | T: luov6468330 |
| 51219877 | 51872039 | 52431109 | T: redgemss128v2 |
| 69967407 | 70883083 | 72620159 | T: rainbow3cclassic683248 |
| 71828803 | 72174494 | 72485886 | T: rainbow3ccompres683248 |
| 75477817 | 76097123 | 76570094 | T: rainbow3ccyclicc683248 |
| 99663977 | 99887494 | 100157335 | T: luov8086399 |
| 124778023 | 125095668 | 125747534 | T: sphincss128shake256simple |
| 142460323 | 142884417 | 143706816 | T: sflashv2 |
| 172711782 | 173473723 | 174274810 | T: sphincss192shake256simple |
| 195236420 | 196378499 | 201531378 | T: redgemss192 |
| 197191574 | 200699100 | 201122084 | T: bluegemss192 |
| 200844917 | 201136514 | 201816426 | T: gemss192 |
| 215406193 | 216182268 | 219461504 | T: redgemss192v2 |
| 216543351 | 216978693 | 217518042 | T: gemss192v2 |
| 218672664 | 219258670 | 220043699 | T: bluegemss192v2 |
| 222926665 | 224708363 | 226320342 | T: rainbow5cclassic963664 |
| 224311760 | 224817217 | 225168088 | T: sphincss128shake256robust |
| 230268279 | 230615746 | 231855098 | T: sphincss256shake256simple |
| 233155389 | 236376979 | 238041831 | T: rainbow5ccompres963664 |
| 237419602 | 238190201 | 239333131 | T: rainbow5ccyclicc963664 |
| 328275359 | 328800611 | 332028343 | T: sphincss192shake256robust |
| 433352769 | 434064242 | 434885457 | T: sphincss256shake256robust |
| 549024648 | 550237730 | 564406029 | T: redgemss256 |
| 563831160 | 564702399 | 566550475 | T: bluegemss256 |
| 569296208 | 570284589 | 573943334 | T: gemss256 |
| 588508458 | 589869725 | 595956151 | T: gemss256v2 |
| 588642250 | 592969807 | 605513584 | T: redgemss256v2 |
| 596353531 | 598149548 | 600511887 | T: bluegemss256v2 |
| 819782360 | 824141330 | 826136074 | T: gravitysphincss |
| 1298946124? | 2246068794? | 3709696738? | T: ronald3072 |
| 13192706162 | 13209935804 | 13239774750 | T: gravitysphincsl |
| 26391469076 | 26451403600 | 26484057025 | T: gravitysphincsm |
|
| Cycles to sign 59 bytes |
| 25% | 50% | 75% | system |
| 9879 | 10027 | 10286 | T: rainbowbinary256181212 |
| 20572 | 20757 | 21090 | T: rainbowbinary16242020 |
| 41403 | 41588 | 41958 | ed25519 |
| 52244 | 52910 | 53391 | T: rainbow1aclassic363232 |
| 73408 | 73593 | 73852 | T: sflashv2 |
| 88393 | 89133 | 89947 | T: rainbow1acyclicc363232 |
| 61642? | 89910? | 191623? | dilithium2aes |
| 96866 | 97902 | 98272 | T: ecdonaldp256 |
| 162171 | 163059 | 163688 | T: ecdonaldp224 |
| 161727 | 163466 | 164391 | T: ed448goldilocks |
| 115662? | 176527? | 251378? | dilithium3aes |
| 133755? | 217634? | 504384? | T: lattisigns512 |
| 234765 | 236319 | 237392 | T: luov863256pc |
| 231213 | 236615 | 240389 | T: rainbow3cclassic683248 |
| 162208? | 237466? | 325674? | dilithium5aes |
| 179117? | 254449? | 464942? | dilithium3 |
| 275539 | 277537 | 279979 | T: donald1024 |
| 314241 | 317756 | 322566 | T: rainbow3ccyclicc683248 |
| 322270 | 325748 | 329966 | T: falcon512tree |
| 191438? | 368779? | 567506? | T: pass769 |
| 223924? | 441743? | 675435? | T: pass863 |
| 529359 | 532208 | 536722 | T: ecdonaldp160 |
| 542494 | 547119 | 550930 | T: ecdonaldk163 |
| 362822? | 564102? | 904761? | T: qtesla1 |
| 563214 | 567654 | 571502 | T: ecdonaldb163 |
| 602027 | 605431 | 608502 | T: falcon512dyn |
| 639989 | 643578 | 645761 | T: ecdonaldp192 |
| 438524? | 650608? | 1344469? | dilithium2 |
| 649794 | 656417 | 662448 | T: falcon1024tree |
| 685795 | 694083 | 699559 | T: rainbow5cclassic963664 |
| 747511 | 752395 | 754726 | T: donald2048 |
| 755170 | 760424 | 768934 | T: ecdonaldk233 |
| 772597 | 778813 | 790468 | T: ecdonaldb233 |
| 807747 | 814703 | 826987 | T: rainbow5ccyclicc963664 |
| 837014 | 842342 | 849557 | T: ecdonaldp521 |
| 579568? | 897731? | 1589742? | T: qtesla3f |
| 947015 | 950752 | 954711 | T: luov890351pc |
| 1209604 | 1231952 | 1243644 | T: falcon1024dyn |
| 1277758 | 1286342 | 1292558 | T: ecdonaldk283 |
| 1334479 | 1342360 | 1347429 | T: ecdonaldb283 |
| 1576015 | 1589298 | 1595218 | T: luov8117404pc |
| 1310651? | 1622006? | 2131570? | dilithium5 |
| 934028? | 1704812? | 2940353? | T: qtesla1p |
| 1008287? | 2025750? | 4325781? | T: qtesla3s |
| 2208604 | 2214376 | 2229731 | T: ecdonaldk409 |
| 2287414 | 2304360 | 2320233 | T: ecdonaldb409 |
| 2413103 | 2419134 | 2431566 | T: ecdonaldp384 |
| 2961073 | 2976354 | 2993522 | picnicl1full |
| 3038329 | 3051020 | 3059382 | T: luov863256 |
| 2773076? | 3296626? | 4157209? | T: redgemss128 |
| 3052056? | 3660484? | 4328778? | T: redgemss128v2 |
| 3791982 | 3824357 | 3844189 | picnicl1fs |
| 3822544 | 3837825 | 3850997 | T: mqdss48 |
| 4716390 | 4748062 | 4818140 | T: ecdonaldk571 |
| 4935689 | 4952783 | 4958777 | picnicl1ur |
| 5039067 | 5069592 | 5096195 | T: ecdonaldb571 |
| 3802860? | 5123464? | 8289110? | T: qtesla3p |
| 5581709 | 5638504 | 5650159 | picnicl3full |
| 5982826 | 6003731 | 6033775 | T: gravitysphincss |
| 6999364 | 7042136 | 7079765 | T: ronald3072 |
| 7575824? | 8536418? | 11076061? | T: redgemss192v2 |
| 8577747 | 8628770 | 8654892 | picnicl3fs |
| 7544448? | 8710466? | 10385567? | T: redgemss192 |
| 9168156 | 9206488 | 9245523 | picnicl5full |
| 9505078 | 9542004 | 9624884 | T: mqdss64 |
| 9988224 | 10022042 | 10072880 | T: luov890351 |
| 10268425 | 10334729 | 10410357 | T: rainbow1acompres363232 |
| 11430373 | 11479694 | 11530273 | T: gravitysphincsm |
| 11619776 | 11643271 | 11672871 | picnicl3ur |
| 13650743 | 13675015 | 13704689 | T: gravitysphincsl |
| 14589359 | 14622178 | 14752973 | picnic3l1 |
| 12420530? | 15012047? | 20063990? | T: redgemss256 |
| 12549919? | 15152980? | 16897271? | T: redgemss256v2 |
| 15568157 | 15832522 | 15889576 | picnicl5fs |
| 17038204 | 17083344 | 17150795 | T: luov8117404 |
| 18689292 | 18888574 | 18959836 | T: sphincsf128harakasimple |
| 19964090 | 20040680 | 20121673 | picnicl5ur |
| 23166033 | 23476537 | 25294791 | T: sphincsf192harakasimple |
| 23165922 | 23615768 | 24376414 | T: sphincsf128harakarobust |
| 29417257 | 29640996 | 29874799 | T: sphincsf192harakarobust |
| 30057283 | 30455292 | 30607103 | picnic3l3 |
| 30737713 | 30774158 | 30906137 | T: luov4849242 |
| 39931362 | 40099305 | 40261994 | T: sphincs256 |
| 51847175 | 52025182 | 52446723 | picnic3l5 |
| 57312852 | 57704867 | 60634601 | T: rainbow3ccompres683248 |
| 61385072 | 61523452 | 61714742 | T: sphincsf256harakasimple |
| 68442600 | 68711553 | 68863660 | T: sphincsf256harakarobust |
| 97586094 | 97657171 | 98290981 | T: luov6468330 |
| 99535180? | 100427583? | 160461045? | T: bluegemss128 |
| 109631074 | 109826101 | 110364673 | T: picnic2l1fs |
| 100114896? | 120114284? | 140219085? | T: bluegemss128v2 |
| 121470149 | 121664584 | 121964950 | T: sphincsf128shake256simple |
| 146331559 | 148620490 | 150652234 | T: rainbow5ccompres963664 |
| 157647306 | 158164529 | 159237899 | T: sphincsf192shake256simple |
| 196361627 | 197235012 | 197788199 | T: luov8086399 |
| 221558257 | 222557072 | 223564508 | T: sphincsf128shake256robust |
| 196798079? | 245631567? | 294010954? | T: bluegemss192v2 |
| 275835296 | 277565157 | 278124116 | T: sphincsf192shake256robust |
| 288617982 | 289328974 | 291074671 | T: sphincss128harakasimple |
| 334759757 | 335598140 | 337398782 | T: sphincsf256shake256simple |
| 281785932? | 337521548? | 395080487? | T: bluegemss192 |
| 365400160 | 366966333 | 368591040 | T: picnic2l3fs |
| 388520942 | 389337310 | 391887165 | T: sphincss128harakarobust |
| 418131154 | 419169337 | 420047421 | T: sphincss256harakasimple |
| 387895975 | 466419003 | 470521230 | T: bluegemss256v2 |
| 489856172? | 587627451? | 687868147? | T: bluegemss256 |
| 611878805 | 612964459 | 613624613 | T: sphincss256harakarobust |
| 623526405 | 624156959 | 624787069 | T: sphincsf256shake256robust |
| 697032973 | 698598554 | 720619733 | T: sphincss192harakasimple |
| 614404462? | 743607833? | 868177176? | T: gemss128 |
| 750115800 | 752748276 | 756322772 | T: picnic2l5fs |
| 627070154? | 783506339? | 991373338? | T: gemss128v2 |
| 975856056 | 977241447 | 978493712 | T: sphincss192harakarobust |
| 1633690674? | 1959572244? | 2285699457? | T: gemss192v2 |
| 1993457436 | 1999011654 | 2010870672 | T: sphincss128shake256simple |
| 1884422210? | 2262594067? | 3015762293? | T: gemss192 |
| 2812921189 | 2820075361 | 2830792300 | T: sphincss256shake256simple |
| 2776309097? | 3333364003? | 4438825139? | T: gemss256v2 |
| 3339307646 | 3371521289 | 3415671909 | T: sphincss128shake256robust |
| 3953909466 | 3971232200 | 4030034857 | T: sphincss192shake256simple |
| 3464769947? | 4151149510? | 4850754760? | T: gemss256 |
| 5066448295 | 5112061044 | 5137805644 | T: sphincss256shake256robust |
| 6862365025 | 7019472945 | 7044531306 | T: sphincss192shake256robust |
|
| Cycles to verify 59 bytes |
| 25% | 50% | 75% | system |
| 7511 | 7622 | 7733 | T: rainbowbinary256181212 |
| 14208 | 14504 | 14874 | T: rainbowbinary16242020 |
| 22015 | 22496 | 23199 | T: rainbow1aclassic363232 |
| 23754 | 23976 | 24272 | T: lattisigns512 |
| 47767 | 47841 | 47952 | dilithium2aes |
| 47952 | 49395 | 51652 | T: gravitysphincss |
| 66674 | 67081 | 67525 | T: ronald3072 |
| 69116 | 69412 | 69671 | dilithium3aes |
| 72557 | 73630 | 74222 | T: falcon512tree |
| 77071 | 79920 | 85877 | T: luov863256pc |
| 84138 | 84434 | 85359 | T: sflashv2 |
| 84582 | 85211 | 85729 | T: falcon512dyn |
| 89281 | 100566 | 110963 | T: rainbow3cclassic683248 |
| 101676 | 102453 | 103267 | T: qtesla1 |
| 102749 | 103304 | 103785 | dilithium5aes |
| 117179 | 117290 | 117475 | dilithium3 |
| 136493 | 137048 | 137640 | ed25519 |
| 146150 | 147223 | 147741 | T: falcon1024tree |
| 158841 | 164946 | 169756 | T: redgemss128 |
| 155696 | 165020 | 182225 | T: bluegemss128 |
| 170607 | 172790 | 174011 | T: falcon1024dyn |
| 175861 | 180671 | 185518 | T: redgemss128v2 |
| 175898 | 185777 | 198320 | T: bluegemss128v2 |
| 194805 | 201391 | 204795 | T: gemss128 |
| 202538 | 206349 | 211677 | T: gemss128v2 |
| 215155 | 218929 | 223739 | T: gravitysphincsm |
| 218522 | 219706 | 221260 | T: donald1024 |
| 218522 | 221334 | 222370 | T: ecdonaldp256 |
| 229400 | 232508 | 233211 | T: qtesla3f |
| 232952 | 233470 | 234839 | T: pass769 |
| 233359 | 238317 | 239353 | T: qtesla3s |
| 244903 | 245273 | 247974 | dilithium2 |
| 265179 | 267547 | 269212 | T: pass863 |
| 269138 | 274022 | 285233 | T: luov890351pc |
| 292004 | 296592 | 300699 | T: gravitysphincsl |
| 317497 | 318274 | 319643 | T: ecdonaldp224 |
| 314315 | 319865 | 327154 | T: rainbow5cclassic963664 |
| 352055 | 356939 | 363266 | T: sphincss128harakasimple |
| 375735 | 381433 | 386909 | T: luov8117404pc |
| 469937 | 479890 | 494468 | T: gemss192 |
| 467236 | 483035 | 493173 | T: gemss192v2 |
| 467902 | 483072 | 493025 | T: bluegemss192 |
| 382247? | 483775? | 503792? | T: redgemss192 |
| 473896 | 494246 | 509749 | T: bluegemss192v2 |
| 500832 | 505235 | 507714 | T: ed448goldilocks |
| 424316 | 509897 | 528582 | T: redgemss192v2 |
| 505864 | 512894 | 518037 | T: ecdonaldp160 |
| 531468 | 538350 | 547341 | T: sphincss192harakasimple |
| 542087 | 543345 | 548747 | T: qtesla1p |
| 550856 | 560661 | 574314 | T: sphincss128harakarobust |
| 594701 | 598993 | 604099 | T: ecdonaldp192 |
| 616457? | 618825? | 997890? | dilithium5 |
| 668997 | 675620 | 683094 | T: donald2048 |
| 713434 | 721241 | 728012 | T: sphincss256harakasimple |
| 828504 | 841454 | 856476 | T: sphincsf128harakasimple |
| 886224 | 905945 | 930143 | T: sphincss192harakarobust |
| 902319 | 924593 | 943093 | T: redgemss256v2 |
| 928293 | 953675 | 981240 | T: redgemss256 |
| 919302 | 954859 | 1025751 | T: gemss256 |
| 941169 | 963924 | 1010914 | T: gemss256v2 |
| 943981 | 968290 | 1003921 | T: bluegemss256v2 |
| 947570 | 991674 | 1038664 | T: bluegemss256 |
| 1040995 | 1048469 | 1053649 | T: ecdonaldk163 |
| 1092721 | 1101934 | 1132274 | T: ecdonaldb163 |
| 1093794 | 1105893 | 1116142 | T: sphincs256 |
| 1188662 | 1202204 | 1224293 | T: sphincss256harakarobust |
| 1271172 | 1286749 | 1302067 | T: sphincsf128harakarobust |
| 1315572 | 1335071 | 1379027 | T: sphincsf192harakasimple |
| 1451436 | 1461870 | 1479667 | T: ecdonaldk233 |
| 1491803 | 1505678 | 1518850 | T: ecdonaldb233 |
| 1486105 | 1510044 | 1527508 | T: sphincsf256harakasimple |
| 1583748 | 1592480 | 1601249 | T: ecdonaldp521 |
| 1959150 | 1975837 | 1989860 | T: ecdonaldp384 |
| 2096938 | 2115512 | 2145556 | T: sphincsf192harakarobust |
| 2209640 | 2240461 | 2261995 | T: sphincsf256harakarobust |
| 2294259 | 2316496 | 2334330 | picnicl1full |
| 2444553 | 2456763 | 2477631 | T: mqdss48 |
| 2485771 | 2501126 | 2510709 | T: ecdonaldk283 |
| 2493985 | 2507675 | 2520477 | T: qtesla3p |
| 2532798 | 2541641 | 2547598 | T: luov863256 |
| 2597178 | 2612052 | 2620118 | T: ecdonaldb283 |
| 2639358 | 2674582 | 2741848 | T: sphincss128shake256simple |
| 3037478 | 3068114 | 3085911 | picnicl1fs |
| 3842154 | 3919632 | 3976871 | T: sphincss192shake256simple |
| 3991634 | 4011133 | 4030077 | picnicl1ur |
| 4266063 | 4283712 | 4301805 | T: ecdonaldk409 |
| 4413323 | 4460646 | 4466344 | picnicl3full |
| 4458759 | 4490986 | 4512927 | T: ecdonaldb409 |
| 4872086 | 4954855 | 5016386 | T: sphincss256shake256simple |
| 4986490 | 5129347 | 5293368 | T: sphincss128shake256robust |
| 6271278 | 6434966 | 6541415 | T: sphincsf128shake256simple |
| 6674800 | 6734222 | 6765857 | T: mqdss64 |
| 7035365 | 7085241 | 7123943 | picnicl3fs |
| 7284079 | 7325482 | 7362926 | picnicl5full |
| 7433374 | 7499086 | 7672246 | T: sphincss192shake256robust |
| 7481844 | 7626810 | 7683494 | T: rainbow1acyclicc363232 |
| 7692300 | 7717682 | 7815288 | T: rainbow1acompres363232 |
| 8922994 | 8937794 | 8948820 | T: luov890351 |
| 9104775 | 9212445 | 9248002 | T: ecdonaldk571 |
| 9523837 | 9561318 | 9595247 | picnicl3ur |
| 9777953 | 9834600 | 9875744 | T: ecdonaldb571 |
| 9846921 | 9996919 | 10188135 | T: sphincss256shake256robust |
| 10074878 | 10169376 | 10295953 | T: sphincsf256shake256simple |
| 10130119 | 10191428 | 10335247 | T: sphincsf192shake256simple |
| 11740470 | 11823757 | 11891911 | picnic3l1 |
| 12363957 | 12608046 | 12785313 | T: sphincsf128shake256robust |
| 12583552 | 12687152 | 12745834 | picnicl5fs |
| 15345491 | 15433588 | 15699470 | T: luov8117404 |
| 16290508 | 16329173 | 16424152 | picnicl5ur |
| 19453009 | 19697542 | 19901486 | T: sphincsf192shake256robust |
| 19950807 | 20226124 | 20450751 | T: sphincsf256shake256robust |
| 21641115 | 21696319 | 21786488 | T: luov4849242 |
| 24429805 | 24583799 | 24782785 | picnic3l3 |
| 39756463 | 39837863 | 40058790 | picnic3l5 |
| 45379538 | 45655447 | 45885254 | T: rainbow3ccompres683248 |
| 45309571 | 45973795 | 46160164 | T: rainbow3ccyclicc683248 |
| 55449976 | 55649184 | 55842176 | T: picnic2l1fs |
| 58683221 | 58792519 | 58947697 | T: luov6468330 |
| 102945692 | 103712036 | 104409449 | T: rainbow5ccyclicc963664 |
| 103004337 | 104809345 | 105441712 | T: rainbow5ccompres963664 |
| 107286754 | 107601772 | 107935586 | T: luov8086399 |
| 129100807 | 129510360 | 130806803 | T: picnic2l3fs |
| 224934951 | 225536460 | 225991819 | T: picnic2l5fs |
|
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