VAMPIRE

eBACS: ECRYPT Benchmarking of Cryptographic Systems

ECRYPT II

Measurements of public-key signature systems, indexed by machine

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.

What do the graphs and tables mean?

• Time to verify a signed message.
• Time to sign a message.
• Time to compute a key pair.
• Space for a secret key.
• Space for a public key.
• Space for a signature on a short message.
• Space for a signature on a long message: more precisely, the difference between the space used by a long signed message and the space used by the original unsigned message. This can be smaller than the space for a signature on a short message for signature systems that support "message recovery."

Each computer also has a series of tables, eight tables for each computer. The first table shows the time, in cycles, to generate a key pair. Each row of the table lists

• the first quartile of many time measurements,
• the median of many time measurements,
• the third quartile of many time measurements, and
• the name of the signature system.

The computer name is linked to additional information about the implementations and compilers selected for benchmarking.

amd64; HW+AES (306c3); 2013 Intel Xeon E3-1275 V3; 4 x 3500MHz; titan0, supercop-20140622

Cycles to generate a key pair quartile median quartile system 30952 30988 31036 lattisigns512 59065 59134 59261 ed25519 107969 108536 109028 donald512 157733 158888 159883 ecdonaldp224 202851 203968 220643 hector 256676 258065 259265 ecdonaldp256 301313 301554 302016 donald1024 526454 533337 539035 ecdonaldp160 586475 590970 595664 ecdonaldk163 614936 618672 622452 ecdonaldb163 631793 637021 643213 ecdonaldp192 752310 755869 761380 ecdonaldk233 795099 799352 803237 ecdonaldb233 1045243 1049729 1052865 donald2048 1125877 1126863 1129317 ecdonaldp521 1382846 1387182 1400503 ecdonaldk283 1476645 1481036 1499855 ecdonaldb283 1964054 1973103 1983145 ecdonaldp384 2207601 2217508 2231359 ecdonaldk409 2375160 2384090 2409582 ecdonaldb409 2832495 2833168 2835122 sphincs256 5337592 5353320 5387570 ecdonaldk571 5800859 5813488 5852575 ecdonaldb571 6238603 6253159 6271830 3icp 6282166 6384074 6496581 ntrumls401x 7649594 7753519 7943391 ntrumls439x 8662985 8677489 8701375 rainbowbinary256181212 6712809? 10478902? 16411375? ronald512 13822150 13943372 14024023 ntrumls593x 19098210 19181534 19273642 tts6440 21510613 21704781 21957100 ntrumls743x 16278086? 23893803? 42848525? ronald768 26209069? 28916920? 45970353? rwb0fuz1024 32292194 32425841 32454344 rainbowbinary16242020 24341341? 40729634? 66905479? ronald1024 42134978 42370136 43527561 rainbow5640 49882113 49950302 50054968 pflash1 103592476 105876147 107287519 rainbow6440 78283467? 141660084? 203608306? ronald1536 167145264 167157504 167214466 sflashv2 141782322? 257953214? 403942527? ronald2048 377742662? 466654631? 637971012? mqqsig192 554979397 643594435 690491021 mqqsig224 581566333? 645554706? 771632242? mqqsig160 504598902? 795698752? 1323179048? ronald3072 1317634238? 2363445256? 3812240481? ronald4096 2517322890 2549612189 2627465287 mqqsig256

Cycles to sign 59 bytes quartile median quartile system 1695 1704 1716 mqqsig160 1853 1876 1936 mqqsig192 2151 2171 2196 mqqsig224 3026 3059 3145 mqqsig256 12755 12835 12942 rainbowbinary256181212 20360 20461 20568 tts6440 21375 21617 21813 rainbowbinary16242020 38214? 38535? 52286? rainbow5640 55559 55625 55693 ed25519 64906 65383 66018 rainbow6440 97657 98843 101798 sflashv2 154688 158247 160425 donald512 223470 224691 226037 ecdonaldp224 220452 235078 252081 hector 332756 336384 340122 donald1024 338693 340224 342616 ecdonaldp256 371485 376725 383120 ronald512 481636? 485228? 1262222? ntrumls439x 252884? 493248? 734452? lattisigns512 589835 593516 597511 ecdonaldp160 236118? 629502? 842865? 3icp 645585 648007 651843 ecdonaldk163 642356 651304 660517 ronald768 671124 673719 679244 ecdonaldb163 698168 703309 707724 ecdonaldp192 460996? 833468? 854611? ntrumls401x 827397 833667 838263 ecdonaldk233 864750 868566 875339 ecdonaldb233 1020543 1029289 1035044 donald2048 1029381 1029894 1030284 rwb0fuz1024 1050262 1065093 1072772 ronald1024 636309? 1106259? 1969481? pflash1 1106486? 1114621? 2069986? ntrumls743x 1319155 1321516 1323864 ecdonaldp521 1477649 1484128 1493964 ecdonaldk283 818303? 1517597? 2235818? ntrumls593x 1571968 1580156 1586635 ecdonaldb283 2105800 2113178 2126722 ecdonaldp384 2355506 2362169 2376491 ecdonaldk409 2379407 2393643 2409716 ronald1536 2525987 2534736 2547234 ecdonaldb409 4573970 4600585 4624724 ronald2048 5557243 5567797 5579256 ecdonaldk571 6033041 6040276 6059036 ecdonaldb571 12741916 12765355 12796608 ronald3072 27324774 27389412 27445862 ronald4096 45429392 45667416 45701058 sphincs256

Cycles to verify 59 bytes quartile median quartile system 8290 8311 8346 rwb0fuz1024 9791 10229 10247 rainbowbinary256181212 12877 12978 13401 rainbowbinary16242020 22945 23097 23419 ronald512 23315 23538 23979 mqqsig160 24998 25134 25840 ronald768 26767 26832 26886 3icp 29594 30398 30639 ronald1024 32131 32212 32489 rainbow5640 39689 39903 41112 mqqsig192 40695 41068 41225 tts6440 41190 41252 41690 rainbow6440 42880 42956 43048 lattisigns512 43543 44071 44299 ronald1536 51207 53519 56467 mqqsig224 60215 60444 61234 mqqsig256 59816 60533 60947 ronald2048 74602 74718 74989 sflashv2 109817 110120 110999 ronald3072 144564 145847 147137 donald512 165728 165939 166165 ed25519 176904 177460 178789 ronald4096 178613 178985 181747 pflash1 183403 183588 184809 ntrumls401x 192566 193608 195285 ntrumls439x 313320 313972 316132 ntrumls593x 357941 358978 363773 donald1024 392941 393680 394839 ntrumls743x 480566 481528 483974 ecdonaldp224 659343 661703 665000 ecdonaldp160 778451 782537 786281 ecdonaldp192 809873 813942 817231 ecdonaldp256 901418 902231 903286 hector 1174686 1183462 1195895 ecdonaldk163 1194909 1197339 1200217 donald2048 1260054 1263169 1270393 ecdonaldb163 1503776 1506606 1539127 sphincs256 1556913 1561536 1568840 ecdonaldk233 1624012 1634121 1640764 ecdonaldb233 2430629 2438279 2447152 ecdonaldp384 2840946 2847949 2859151 ecdonaldk283 3023064 3027399 3049650 ecdonaldp521 3019070 3037741 3049897 ecdonaldb283 4559172 4571330 4603704 ecdonaldk409 4880016 4893768 4910256 ecdonaldb409 10889915 10903021 10929869 ecdonaldk571 11855840 11877641 11923136 ecdonaldb571

Secret key bytes system 29 hector 60 ecdonaldp160 63 ecdonaldb163 63 ecdonaldk163 64 ed25519 72 ecdonaldp192 84 donald512 84 ecdonaldp224 90 ecdonaldb233 90 ecdonaldk233 96 ecdonaldp256 108 ecdonaldb283 108 ecdonaldk283 144 ecdonaldp384 148 donald1024 156 ecdonaldb409 156 ecdonaldk409 198 ecdonaldp521 216 ecdonaldb571 216 ecdonaldk571 256 lattisigns512 265 rwb0fuz1024 276 donald2048 401 mqqsig160 465 mqqsig192 512 ronald512 529 mqqsig224 593 mqqsig256 768 ronald768 1024 ronald1024 1088 sphincs256 1158 ntrumls401x 1305 ntrumls439x 1536 ronald1536 1742 ntrumls593x 2048 ronald2048 2267 ntrumls743x 2823 sflashv2 3072 ronald3072 4096 ronald4096 5550 pflash1 12768 3icp 16608 tts6440 23408 rainbowbinary256181212 86240 rainbow5640 94384 rainbowbinary16242020 150512 rainbow6440

Public key bytes system 32 ed25519 40 ecdonaldp160 42 ecdonaldb163 42 ecdonaldk163 48 ecdonaldp192 56 ecdonaldp224 60 ecdonaldb233 60 ecdonaldk233 60 hector 64 donald512 64 ecdonaldp256 64 ronald512 72 ecdonaldb283 72 ecdonaldk283 96 ecdonaldp384 96 ronald768 104 ecdonaldb409 104 ecdonaldk409 128 donald1024 128 ronald1024 128 rwb0fuz1024 132 ecdonaldp521 144 ecdonaldb571 144 ecdonaldk571 192 ronald1536 256 donald2048 256 ronald2048 384 ronald3072 512 ronald4096 972 ntrumls401x 1056 sphincs256 1112 ntrumls439x 1478 ntrumls593x 1536 lattisigns512 1927 ntrumls743x 19266 sflashv2 30240 rainbowbinary256181212 35712 3icp 44160 rainbow5640 57600 rainbow6440 57600 tts6440 72124 pflash1 102912 rainbowbinary16242020 206112 mqqsig160 333540 mqqsig192 529242 mqqsig224 789552 mqqsig256

Signing 0 bytes bytes system -1? ntrumls401x? ? -1? ntrumls439x? ? -1? ntrumls593x? ? -1? ntrumls743x? ? 20 mqqsig160 24 mqqsig192 28 mqqsig224 32 mqqsig256 32 rainbowbinary16242020 36 3icp 37 pflash1 37 rainbow5640 37 sflashv2 40 donald1024 40 donald2048 40 donald512 40 ecdonaldp160 42 ecdonaldb163 42 ecdonaldk163 42 rainbowbinary256181212 43 rainbow6440 43 tts6440 48 ecdonaldp192 56 ecdonaldp224 60 ecdonaldb233 60 ecdonaldk233 64 ecdonaldp256 64 ed25519 64 ronald512 65 rwb0fuz1024 72 ecdonaldb283 72 ecdonaldk283 87 hector 96 ecdonaldp384 96 ronald768 104 ecdonaldb409 104 ecdonaldk409 128 ronald1024 132 ecdonaldp521 144 ecdonaldb571 144 ecdonaldk571 192 ronald1536 256 ronald2048 384 ronald3072 512 ronald4096 1184 lattisigns512 41000 sphincs256

Signing 23 bytes bytes system 20 mqqsig160 24 mqqsig192 28 mqqsig224 32 mqqsig256 32 rainbowbinary16242020 36 3icp 37 pflash1 37 rainbow5640 37 sflashv2 40 donald1024 40 donald2048 40 donald512 40 ecdonaldp160 41 ronald512 42 ecdonaldb163 42 ecdonaldk163 42 rainbowbinary256181212 43 rainbow6440 43 tts6440 48 ecdonaldp192 56 ecdonaldp224 60 ecdonaldb233 60 ecdonaldk233 64 ecdonaldp256 64 ed25519 65 rwb0fuz1024 72 ecdonaldb283 72 ecdonaldk283 73 ronald768 87 hector 96 ecdonaldp384 104 ecdonaldb409 104 ecdonaldk409 105 ronald1024 132 ecdonaldp521 144 ecdonaldb571 144 ecdonaldk571 169 ronald1536 233 ronald2048 361 ronald3072 489 ronald4096 853 ntrumls401x 988 ntrumls439x 1184 lattisigns512 1335 ntrumls593x 1765 ntrumls743x 41000 sphincs256

Signing many bytes bytes system 20 mqqsig160 24 mqqsig192 28 mqqsig224 32 mqqsig256 32 rainbowbinary16242020 36 3icp 37 pflash1 37 rainbow5640 37 sflashv2 40 donald1024 40 donald2048 40 donald512 40 ecdonaldp160 42 ecdonaldb163 42 ecdonaldk163 42 rainbowbinary256181212 43 rainbow6440 43 ronald1024 43 ronald1536 43 ronald2048 43 ronald3072 43 ronald4096 43 ronald512 43 ronald768 43 tts6440 48 ecdonaldp192 56 ecdonaldp224 60 ecdonaldb233 60 ecdonaldk233 64 ecdonaldp256 64 ed25519 65 rwb0fuz1024 72 ecdonaldb283 72 ecdonaldk283 87 hector 96 ecdonaldp384 104 ecdonaldb409 104 ecdonaldk409 132 ecdonaldp521 144 ecdonaldb571 144 ecdonaldk571 853 ntrumls401x 988 ntrumls439x 1184 lattisigns512 1335 ntrumls593x 1765 ntrumls743x 41000 sphincs256

x86; normally amd64; HW+AES (306c3); 2013 Intel Xeon E3-1275 V3; 4 x 3500MHz; titan0, supercop-20140622

Cycles to generate a key pair quartile median quartile system 437443 437712 439055 ed25519 60347750 60602101 60857366 pflash1 434716377? 578680414? 860254905? mqqsig192 594573280? 685699464? 864785567? mqqsig160 641242614? 793761461? 871980804? mqqsig224 802562538? 926023360? 1028696474? mqqsig256

Cycles to sign 59 bytes quartile median quartile system 4790 4819 4864 mqqsig160 5025 5037 5058 mqqsig192 5245 5266 5332 mqqsig256 5353 5373 5398 mqqsig224 441914 442078 442242 ed25519 545347? 945465? 1676530? pflash1

Cycles to verify 59 bytes quartile median quartile system 26743 27077 27371 mqqsig160 44997 45348 45696 mqqsig192 55768 55985 56256 mqqsig224 66488 66688 67003 mqqsig256 152022 152576 154819 pflash1 1305783 1306257 1307085 ed25519

Secret key bytes system 64 ed25519 401 mqqsig160 465 mqqsig192 529 mqqsig224 593 mqqsig256 ntrumls401x 1158 1 ntrumls439x 1305 1 ntrumls593x 1742 1 ntrumls743x 2267 1 5550 pflash1

Public key bytes system 32 ed25519 ntrumls401x 972 1 ntrumls439x 1112 1 ntrumls593x 1478 1 ntrumls743x 1927 1 72124 pflash1 206112 mqqsig160 333540 mqqsig192 529242 mqqsig224 789552 mqqsig256

Signing 0 bytes bytes system ntrumls401x -1 1 ntrumls439x -1 1 ntrumls593x -1 1 ntrumls743x -1 1 20 mqqsig160 24 mqqsig192 28 mqqsig224 32 mqqsig256 37 pflash1 64 ed25519

Signing 23 bytes bytes system 20 mqqsig160 24 mqqsig192 28 mqqsig224 32 mqqsig256 37 pflash1 64 ed25519

Signing many bytes bytes system 20 mqqsig160 24 mqqsig192 28 mqqsig224 32 mqqsig256 37 pflash1 64 ed25519

amd64; HW+AES (306c3); 2013 Intel Core i7-4770; 4 x 3400MHz; wintermute, supercop-20140505

Cycles to generate a key pair quartile median quartile system 68184 68268 68344 ed25519 146568 148060 149612 donald512 250508 252060 271684 hector 354800 359344 362808 donald1024 729584 737708 750232 ecdonaldp160 836704 843892 853652 ecdonaldp192 845220 851516 862808 ecdonaldk163 875048 881232 893640 ecdonaldb163 1100192 1105644 1113860 ecdonaldk233 1103296 1112308 1125056 ecdonaldp224 1140520 1149376 1160824 ecdonaldb233 1205804 1207304 1210412 donald2048 1276032 1290260 1302064 ecdonaldp256 1822060 1833336 1843956 ecdonaldk283 1912408 1925536 1942120 ecdonaldb283 2484536 2498628 2512660 ecdonaldp384 2877384 2894436 2912180 ecdonaldk409 3028804 3044828 3063604 ecdonaldb409 5008168 5029312 5061156 ecdonaldp521 6408592 6421240 6455156 ecdonaldk571 6777040 6795736 6823492 ecdonaldb571 9367440? 14062232? 20630192? ronald512 21277188? 29957752? 45551492? ronald768 30657272? 37126448? 63187488? rwb0fuz1024 40523380? 65800276? 101685080? ronald1024 91777804? 148135708? 243685840? ronald1536 156618964? 262913304? 390478256? ronald2048 281983824 282767720 283401200 sflashv2 537680636? 962738304? 1467504968? ronald3072 1309088964? 1935746372? 3184277332? ronald4096

Cycles to sign 59 bytes quartile median quartile system 62728 62816 62888 ed25519 157340 158868 162924 sflashv2 221480 225380 230500 donald512 279248 296400 316612 hector 417032 421408 425816 donald1024 548472 559376 567568 ronald512 783144 788184 792472 ecdonaldp160 885076 896944 913280 ronald768 906136 909280 915392 ecdonaldk163 919524 923180 929708 ecdonaldp192 942476 945408 949156 ecdonaldb163 1169912 1177068 1223640 rwb0fuz1024 1188692 1196184 1202900 ecdonaldp224 1200172 1209400 1218128 ecdonaldk233 1203540 1214312 1222800 donald2048 1240596 1248908 1261832 ecdonaldb233 1374364 1381500 1388988 ecdonaldp256 1401824 1418308 1435932 ronald1024 1939460 1944216 1956628 ecdonaldk283 2027592 2043732 2047288 ecdonaldb283 2634896 2643760 2654464 ecdonaldp384 2977372 2997700 3039600 ronald1536 3057576 3067840 3076816 ecdonaldk409 3220072 3236624 3253104 ecdonaldb409 5232284 5249676 5277520 ecdonaldp521 5528976 5557996 5593092 ronald2048 6653844 6677448 6699632 ecdonaldk571 7038124 7050248 7063256 ecdonaldb571 14866792 14907968 14949652 ronald3072 31321856 31380052 31435684 ronald4096

Cycles to verify 59 bytes quartile median quartile system 14232 14348 15268 rwb0fuz1024 42944 44692 49160 ronald768 45564 48856 50100 ronald512 53232 54900 60440 ronald1024 67088 68236 77152 ronald1536 90864 93424 106616 ronald2048 143000 145836 152992 ronald3072 187516 187708 188064 ed25519 192272 192772 193020 sflashv2 204484 205788 207960 donald512 215376 222628 225992 ronald4096 438572 443760 448316 donald1024 872780 877680 883076 ecdonaldp160 1016944 1020776 1023764 ecdonaldp192 1063400 1063948 1065900 hector 1347880 1359576 1362608 ecdonaldp224 1397612 1406276 1413048 donald2048 1554748 1557880 1561360 ecdonaldp256 1678180 1681004 1686688 ecdonaldk163 1762304 1769620 1783344 ecdonaldb163 2242896 2249964 2264692 ecdonaldk233 2328388 2336232 2347188 ecdonaldb233 3006388 3024680 3033248 ecdonaldp384 3696248 3708312 3724000 ecdonaldk283 3874556 3905044 3915704 ecdonaldb283 5885308 5906364 5941604 ecdonaldk409 6072104 6083044 6101360 ecdonaldp521 6178980 6209936 6265580 ecdonaldb409 13079268 13103752 13136836 ecdonaldk571 13772868 13791360 13828560 ecdonaldb571

Secret key bytes system 29 hector 60 ecdonaldp160 63 ecdonaldb163 63 ecdonaldk163 64 ed25519 72 ecdonaldp192 84 donald512 84 ecdonaldp224 90 ecdonaldb233 90 ecdonaldk233 96 ecdonaldp256 108 ecdonaldb283 108 ecdonaldk283 144 ecdonaldp384 148 donald1024 156 ecdonaldb409 156 ecdonaldk409 198 ecdonaldp521 216 ecdonaldb571 216 ecdonaldk571 265 rwb0fuz1024 276 donald2048 512 ronald512 768 ronald768 1024 ronald1024 1536 ronald1536 2048 ronald2048 2823 sflashv2 3072 ronald3072 4096 ronald4096

Public key bytes system 32 ed25519 40 ecdonaldp160 42 ecdonaldb163 42 ecdonaldk163 48 ecdonaldp192 56 ecdonaldp224 60 ecdonaldb233 60 ecdonaldk233 60 hector 64 donald512 64 ecdonaldp256 64 ronald512 72 ecdonaldb283 72 ecdonaldk283 96 ecdonaldp384 96 ronald768 104 ecdonaldb409 104 ecdonaldk409 128 donald1024 128 ronald1024 128 rwb0fuz1024 132 ecdonaldp521 144 ecdonaldb571 144 ecdonaldk571 192 ronald1536 256 donald2048 256 ronald2048 384 ronald3072 512 ronald4096 19266 sflashv2

Signing 0 bytes bytes system 37 sflashv2 40 donald1024 40 donald2048 40 donald512 40 ecdonaldp160 42 ecdonaldb163 42 ecdonaldk163 48 ecdonaldp192 56 ecdonaldp224 60 ecdonaldb233 60 ecdonaldk233 64 ecdonaldp256 64 ed25519 64 ronald512 65 rwb0fuz1024 72 ecdonaldb283 72 ecdonaldk283 87 hector 96 ecdonaldp384 96 ronald768 104 ecdonaldb409 104 ecdonaldk409 128 ronald1024 132 ecdonaldp521 144 ecdonaldb571 144 ecdonaldk571 192 ronald1536 256 ronald2048 384 ronald3072 512 ronald4096

Signing 23 bytes bytes system 37 sflashv2 40 donald1024 40 donald2048 40 donald512 40 ecdonaldp160 41 ronald512 42 ecdonaldb163 42 ecdonaldk163 48 ecdonaldp192 56 ecdonaldp224 60 ecdonaldb233 60 ecdonaldk233 64 ecdonaldp256 64 ed25519 65 rwb0fuz1024 72 ecdonaldb283 72 ecdonaldk283 73 ronald768 87 hector 96 ecdonaldp384 104 ecdonaldb409 104 ecdonaldk409 105 ronald1024 132 ecdonaldp521 144 ecdonaldb571 144 ecdonaldk571 169 ronald1536 233 ronald2048 361 ronald3072 489 ronald4096

Signing many bytes bytes system 37 sflashv2 40 donald1024 40 donald2048 40 donald512 40 ecdonaldp160 42 ecdonaldb163 42 ecdonaldk163 43 ronald1024 43 ronald1536 43 ronald2048 43 ronald3072 43 ronald4096 43 ronald512 43 ronald768 48 ecdonaldp192 56 ecdonaldp224 60 ecdonaldb233 60 ecdonaldk233 64 ecdonaldp256 64 ed25519 65 rwb0fuz1024 72 ecdonaldb283 72 ecdonaldk283 87 hector 96 ecdonaldp384 104 ecdonaldb409 104 ecdonaldk409 132 ecdonaldp521 144 ecdonaldb571 144 ecdonaldk571

amd64; HW+AES (306c3); 2013 Intel Core i5-4570S; 4 x 2900MHz; haswell, supercop-20130419

Cycles to generate a key pair quartile median quartile system 32848 32928 35284 lattisigns512 64960 67102 67235 ed25519 119484 120860 127432 donald512 125900 128652 132196 ecdonaldp224 247404 253307 256302 ecdonaldp256 235625 261352 289572 hector 335492 336224 346911 donald1024 638944 654372 671980 ecdonaldp160 640736 655114 705578 ecdonaldk163 681193 693629 713080 ecdonaldb163 710048 731544 751109 ecdonaldp521 706052 744840 759564 ecdonaldp192 832143 847231 899314 ecdonaldk233 842928 851300 872361 ecdonaldb233 1169588 1209838 1298308 donald2048 1499681 1509504 1615764 ecdonaldk283 1546624 1656400 1715160 ecdonaldb283 2321475 2389436 2438232 ecdonaldp384 2454504 2536294 2572831 ecdonaldk409 2538468 2677592 2869898 ecdonaldb409 5806264 5996628 6106588 ecdonaldk571 6274744 6337848 6544810 ecdonaldb571 7242217 7418722 7719868 3icp 11789368 12562764 13081556 rainbowbinary256181212 9797092? 14177008? 20136736? ronald512 17245864? 29974476? 43093588? ronald768 31682752 32178371 32794148 tts6440 31303548? 37236061? 53019056? rwb0fuz1024 48129072 49205676 50390757 rainbowbinary16242020 54225478 56253396 58191608 rainbow5640 27405272? 57579510? 83558100? ronald1024 65151327 66479536 67798304 pflash1 101440705 103589806 106204777 rainbow 137013835 140330518 144120195 rainbow6440 96491056? 153570238? 222379056? ronald1536 192150589 194634520 197108961 sflashv2 177414392? 293007019? 396472160? ronald2048 398066437? 491624790? 667313588? mqqsig192 592281958 680504428 739967365 mqqsig224 710023730? 779718320? 914555250? mqqsig160 838802558 925130749 1003705383 mqqsig256 587093114? 988460495? 1915434775? ronald3072 1295371647? 2248559854? 3729226776? ronald4096

Cycles to sign 59 bytes quartile median quartile system 1786 1814 1856 mqqsig160 2138 2154 2244 mqqsig192 2274 2287 2324 mqqsig256 2432 2464 2636 mqqsig224 17676 18236 18370 rainbowbinary256181212 31846 32048 32260 rainbowbinary16242020 33928 34680 34899 tts6440 49372? 51078? 61952? rainbow5640 68420 68552 71116 ed25519 92282 92883 107132 rainbow6440 115672 118088 124752 sflashv2 181068 187424 192304 donald512 211876 218360 228260 ecdonaldp224 282404 296972 315690 hector 358688 373486 375728 ecdonaldp256 399276 402888 409804 donald1024 439677 458560 472124 ronald512 501996 511630 518090 rainbow 291814? 565384? 840336? lattisigns512 705724 726044 757308 ecdonaldp160 766379 780684 840224 ecdonaldb163 763632 780746 809872 ecdonaldk163 766109 782260 796812 ronald768 832688 851424 867266 ecdonaldp192 328864? 880079? 1168505? 3icp 921264 928766 991548 ecdonaldk233 957990 964013 1026608 ecdonaldp521 1004840 1029160 1041096 ecdonaldb233 1198006 1233544 1262286 donald2048 1261612 1272328 1311852 rwb0fuz1024 1245384 1279440 1305596 ronald1024 804692? 1354588? 2338188? pflash1 1606724 1618444 1666308 ecdonaldk283 1764080 1770968 1780528 ecdonaldb283 2563428 2639542 2665296 ecdonaldp384 2627168 2644304 2730386 ecdonaldk409 2738557 2850056 2946368 ecdonaldb409 2821658 2882716 2921436 ronald1536 5361238 5434694 5576660 ronald2048 6195183 6326768 6481126 ecdonaldk571 6362157 6556412 6595397 ecdonaldb571 14534594 14922741 15517536 ronald3072 32225106 33206157 34057924 ronald4096

Cycles to verify 59 bytes quartile median quartile system 10303 10700 10966 rwb0fuz1024 14712 15216 15240 rainbowbinary256181212 19546 19558 19586 rainbowbinary16242020 26480 26655 27532 ronald512 26813 27629 30456 mqqsig160 29315 30172 30312 ronald768 30711 31676 31832 3icp 34332 36428 36884 ronald1024 37166 38736 39814 rainbow5640 46944 48438 56604 rainbow6440 48630 48804 50540 lattisigns512 47436 48931 49171 tts6440 51352 51968 53970 ronald1536 53393 55528 58377 mqqsig192 68651 69127 70830 mqqsig256 73008 73516 75718 ronald2048 68908 74252 75116 mqqsig224 92052 92392 93012 sflashv2 123275 124091 137000 ronald3072 168921 174584 175476 donald512 206378 206886 214924 ed25519 197548 211992 227536 ronald4096 213328 214616 239805 pflash1 401760 408568 418378 ecdonaldp224 418333 426496 439304 donald1024 800968 839028 845784 ecdonaldp160 821404 850000 874934 ecdonaldp256 927400 935640 947072 ecdonaldp192 953252 988386 989846 rainbow 1097604 1135836 1173742 hector 1385280 1394983 1404076 donald2048 1351197 1431076 1492968 ecdonaldk163 1406918 1463568 1511356 ecdonaldb163 1722555 1788244 1829284 ecdonaldk233 1877820 1903349 1937528 ecdonaldb233 2035560 2108640 2186000 ecdonaldp521 2935104 2946356 2988201 ecdonaldp384 3086532 3109397 3197704 ecdonaldk283 3330634 3404052 3469520 ecdonaldb283 4984011 5120936 5293420 ecdonaldk409 5382570 5446034 5620401 ecdonaldb409 12036549 12356008 12551347 ecdonaldk571 12458777 12730166 12957704 ecdonaldb571

Secret key bytes system 29 hector 60 ecdonaldp160 63 ecdonaldb163 63 ecdonaldk163 64 ed25519 72 ecdonaldp192 84 donald512 84 ecdonaldp224 90 ecdonaldb233 90 ecdonaldk233 96 ecdonaldp256 108 ecdonaldb283 108 ecdonaldk283 144 ecdonaldp384 148 donald1024 156 ecdonaldb409 156 ecdonaldk409 198 ecdonaldp521 216 ecdonaldb571 216 ecdonaldk571 256 lattisigns512 265 rwb0fuz1024 276 donald2048 401 mqqsig160 465 mqqsig192 512 ronald512 529 mqqsig224 593 mqqsig256 768 ronald768 1024 ronald1024 1536 ronald1536 2048 ronald2048 2823 sflashv2 3072 ronald3072 4096 ronald4096 5550 pflash1 12768 3icp 16608 tts6440 20107 rainbow 23408 rainbowbinary256181212 86240 rainbow5640 94384 rainbowbinary16242020 150512 rainbow6440

Public key bytes system 32 ed25519 40 ecdonaldp160 42 ecdonaldb163 42 ecdonaldk163 48 ecdonaldp192 56 ecdonaldp224 60 ecdonaldb233 60 ecdonaldk233 60 hector 64 donald512 64 ecdonaldp256 64 ronald512 72 ecdonaldb283 72 ecdonaldk283 96 ecdonaldp384 96 ronald768 104 ecdonaldb409 104 ecdonaldk409 128 donald1024 128 ronald1024 128 rwb0fuz1024 132 ecdonaldp521 144 ecdonaldb571 144 ecdonaldk571 192 ronald1536 256 donald2048 256 ronald2048 384 ronald3072 512 ronald4096 1536 lattisigns512 19266 sflashv2 30240 rainbowbinary256181212 31680 rainbow 35712 3icp 44160 rainbow5640 57600 rainbow6440 57600 tts6440 72124 pflash1 102912 rainbowbinary16242020 206112 mqqsig160 333540 mqqsig192 529242 mqqsig224 789552 mqqsig256

Signing 0 bytes bytes system 20 mqqsig160 24 mqqsig192 28 mqqsig224 32 mqqsig256 36 3icp 37 pflash1 37 rainbow5640 37 sflashv2 40 donald1024 40 donald2048 40 donald512 40 ecdonaldp160 40 rainbowbinary16242020 42 ecdonaldb163 42 ecdonaldk163 42 rainbowbinary256181212 43 rainbow 43 rainbow6440 43 tts6440 48 ecdonaldp192 56 ecdonaldp224 60 ecdonaldb233 60 ecdonaldk233 64 ecdonaldp256 64 ed25519 64 ronald512 65 rwb0fuz1024 72 ecdonaldb283 72 ecdonaldk283 87 hector 96 ecdonaldp384 96 ronald768 104 ecdonaldb409 104 ecdonaldk409 128 ronald1024 132 ecdonaldp521 144 ecdonaldb571 144 ecdonaldk571 192 ronald1536 256 ronald2048 384 ronald3072 512 ronald4096 1184 lattisigns512

Signing 23 bytes bytes system 20 mqqsig160 24 mqqsig192 28 mqqsig224 32 mqqsig256 36 3icp 37 pflash1 37 rainbow5640 37 sflashv2 40 donald1024 40 donald2048 40 donald512 40 ecdonaldp160 40 rainbowbinary16242020 41 ronald512 42 ecdonaldb163 42 ecdonaldk163 42 rainbowbinary256181212 43 rainbow 43 rainbow6440 43 tts6440 48 ecdonaldp192 56 ecdonaldp224 60 ecdonaldb233 60 ecdonaldk233 64 ecdonaldp256 64 ed25519 65 rwb0fuz1024 72 ecdonaldb283 72 ecdonaldk283 73 ronald768 87 hector 96 ecdonaldp384 104 ecdonaldb409 104 ecdonaldk409 105 ronald1024 132 ecdonaldp521 144 ecdonaldb571 144 ecdonaldk571 169 ronald1536 233 ronald2048 361 ronald3072 489 ronald4096 1184 lattisigns512

Signing many bytes bytes system 20 mqqsig160 24 mqqsig192 28 mqqsig224 32 mqqsig256 36 3icp 37 pflash1 37 rainbow5640 37 sflashv2 40 donald1024 40 donald2048 40 donald512 40 ecdonaldp160 40 rainbowbinary16242020 42 ecdonaldb163 42 ecdonaldk163 42 rainbowbinary256181212 43 rainbow 43 rainbow6440 43 ronald1024 43 ronald1536 43 ronald2048 43 ronald3072 43 ronald4096 43 ronald512 43 ronald768 43 tts6440 48 ecdonaldp192 56 ecdonaldp224 60 ecdonaldb233 60 ecdonaldk233 64 ecdonaldp256 64 ed25519 65 rwb0fuz1024 72 ecdonaldb283 72 ecdonaldk283 87 hector 96 ecdonaldp384 104 ecdonaldb409 104 ecdonaldk409 132 ecdonaldp521 144 ecdonaldb571 144 ecdonaldk571 1184 lattisigns512

armeabi; Krait (511f04d3); 2012 Qualcomm Snapdragon S4 APQ8060A; 2 x 1512MHz; h9dragon, supercop-20130126

Cycles to generate a key pair quartile median quartile system 994245 994473 994746 ed25519 183276017 183614236 183970379 pflash1 277730297 277926145 278448776 rainbow 1113206983? 1272290384? 1561997482? mqqsig160 2176789175? 2366785721? 2781573392? mqqsig192 3520466320 3682405348 3783985777 mqqsig224 8081902623 8221642971 8395904154 mqqsig256

Cycles to sign 59 bytes quartile median quartile system 21866 22002 22089 mqqsig160 21883 22133 22181 mqqsig192 24585 24676 24812 mqqsig224 24247 24907 24951 mqqsig256 1035748 1035884 1036066 ed25519 1506951 1508082 1514710 rainbow 2537916? 4384563? 7853794? pflash1

Cycles to verify 59 bytes quartile median quartile system 282048 282229 282497 mqqsig160 341611 344740 355329 mqqsig256 594869 595667 596846 mqqsig192 682180 682244 682338 pflash1 852907 855174 880264 mqqsig224 2697016 2697245 2701939 rainbow 3002015 3002151 3004978 ed25519

Secret key bytes system 64 ed25519 401 mqqsig160 465 mqqsig192 529 mqqsig224 593 mqqsig256 5550 pflash1 20107 rainbow

Public key bytes system 32 ed25519 31680 rainbow 72124 pflash1 206112 mqqsig160 333540 mqqsig192 529242 mqqsig224 789552 mqqsig256

Signing 0 bytes bytes system 20 mqqsig160 24 mqqsig192 28 mqqsig224 32 mqqsig256 37 pflash1 43 rainbow 64 ed25519

Signing 23 bytes bytes system 20 mqqsig160 24 mqqsig192 28 mqqsig224 32 mqqsig256 37 pflash1 43 rainbow 64 ed25519

Signing many bytes bytes system 20 mqqsig160 24 mqqsig192 28 mqqsig224 32 mqqsig256 37 pflash1 43 rainbow 64 ed25519

armeabi; Cortex-A9+NEON (413fc090); 2012 VIA WonderMedia 8850; 1 x 1200MHz; h7green, supercop-20140622

Cycles to generate a key pair quartile median quartile system 622572 630512 639964 ed25519 851432 856050 869872 donald512 2028734 2057759 2099645 ecdonaldp160 2714799 2751300 2796700 ecdonaldp192 2830180 2864038 2878146 donald1024 3084300 3104858 3140948 ecdonaldk163 3288024 3330543 3359450 ecdonaldb163 3837904 3886728 3920862 ecdonaldp224 4594188 4643479 4679802 ecdonaldp256 5472374 5509318 5558153 ecdonaldk233 6002215 6035153 6061946 ecdonaldb233 10317141 10365140 10415144 ecdonaldk283 10408893 10428759 10454780 donald2048 11495998 11556960 11625033 ecdonaldb283 11537675 11602923 11680024 ecdonaldp384 22041962 22074328 22119381 ecdonaldk409 24835363 24956372 25098420 ecdonaldp521 24939756 24987176 25046758 ecdonaldb409 51478136 51560804 51647572 ecdonaldk571 58769192 58882254 59016331 ecdonaldb571 70405396? 102619359? 194284544? ronald512 207620404 207859636 208132982 pflash1 221487157? 355289130? 633322818? ronald768 377753320? 579205780? 967575620? ronald1024 905709206 916388333 919372952 sflashv2 878415420? 1513342246? 2173266432? ronald1536 1592487854? 1748273044? 2055431446? mqqsig192 1706541186 1828201668 2058879814 mqqsig160 2783328770 2902848866 2988996024 mqqsig224 1934716336? 3226309790? 4967638618? ronald2048 4366904978 4441463780 4544466022 mqqsig256 5764240482? 9200084752? 14315320146? ronald3072 17229451488? 25993873324? 43188636374? ronald4096

Cycles to sign 59 bytes quartile median quartile system 11595 11660 11777 mqqsig160 14265 14396 14459 mqqsig192 16228 16365 16507 mqqsig224 17123 17188 17311 mqqsig256 377080 381826 395932 sflashv2 646337 655907 665604 ed25519 1089547 1102350 1136131 donald512 2021073 2059660 2101295 ronald512 2217712 2246129 2278122 ecdonaldp160 2920785 2962811 3003708 ecdonaldp192 2961452 2987354 3022010 donald1024 3319514 3345746 3376584 ecdonaldk163 3519255 3542871 3574266 ecdonaldb163 4100636 4128830 4167554 ecdonaldp224 4106826 4161520 4217786 ronald768 2482428? 4289964? 7432164? pflash1 4872406 4904420 4948914 ecdonaldp256 5794364 5825629 5860424 ecdonaldk233 6316358 6341089 6373240 ecdonaldb233 7109191 7174166 7228883 ronald1024 10103096 10181484 10260098 donald2048 10694776 10737020 10774284 ecdonaldk283 11867902 11913846 11958914 ecdonaldb283 11949816 12012818 12090220 ecdonaldp384 18609580 18685660 18753242 ronald1536 22581650 22614870 22648585 ecdonaldk409 25507366 25540848 25567622 ecdonaldb409 25502123 25588342 25697438 ecdonaldp521 38471704 38575894 38645218 ronald2048 52419267 52484406 52549298 ecdonaldk571 59610832 59681006 59734542 ecdonaldb571 113746800 113882836 114113566 ronald3072 254396232 254770514 255349640 ronald4096

Cycles to verify 59 bytes quartile median quartile system 131778 132793 133991 ronald512 155342 156658 159443 ronald768 197951 198957 200166 ronald1024 312366 314100 316880 ronald1536 412614 413876 418686 mqqsig160 421956 422726 424868 mqqsig192 471094 473085 484166 ronald2048 648074 652186 656024 mqqsig256 662062 690040 783584 sflashv2 743394 744374 748786 mqqsig224 856736 859434 866664 pflash1 895798 899796 910784 ronald3072 1059284 1075714 1090374 donald512 1481611 1490915 1523990 ronald4096 1634234 1640748 1670701 ed25519 2485505 2518954 2547376 ecdonaldp160 3309508 3341764 3366636 donald1024 3371451 3413304 3451986 ecdonaldp192 4753053 4794892 4852892 ecdonaldp224 5683563 5754386 5813108 ecdonaldp256 6234234 6277073 6333798 ecdonaldk163 6715379 6757869 6782696 ecdonaldb163 11175368 11206908 11250686 ecdonaldk233 11543573 11734963 11861658 donald2048 12166692 12201624 12240838 ecdonaldb233 14178428 14251960 14338718 ecdonaldp384 20940874 20985587 21046354 ecdonaldk283 23241704 23328064 23430808 ecdonaldb283 30065837 30415896 30554825 ecdonaldp521 44568345 44626468 44669074 ecdonaldk409 50361050 50403336 50470865 ecdonaldb409 103496186 103925642 104026670 ecdonaldk571 118007863 118361664 118468496 ecdonaldb571

Secret key bytes system 60 ecdonaldp160 63 ecdonaldb163 63 ecdonaldk163 64 ed25519 72 ecdonaldp192 84 donald512 84 ecdonaldp224 90 ecdonaldb233 90 ecdonaldk233 96 ecdonaldp256 108 ecdonaldb283 108 ecdonaldk283 144 ecdonaldp384 148 donald1024 156 ecdonaldb409 156 ecdonaldk409 198 ecdonaldp521 216 ecdonaldb571 216 ecdonaldk571 276 donald2048 401 mqqsig160 465 mqqsig192 512 ronald512 529 mqqsig224 593 mqqsig256 768 ronald768 1024 ronald1024 ntrumls401x 1158 1 ntrumls439x 1305 1 1536 ronald1536 ntrumls593x 1742 1 2048 ronald2048 ntrumls743x 2267 1 2823 sflashv2 3072 ronald3072 4096 ronald4096 5550 pflash1

Public key bytes system 32 ed25519 40 ecdonaldp160 42 ecdonaldb163 42 ecdonaldk163 48 ecdonaldp192 56 ecdonaldp224 60 ecdonaldb233 60 ecdonaldk233 64 donald512 64 ecdonaldp256 64 ronald512 72 ecdonaldb283 72 ecdonaldk283 96 ecdonaldp384 96 ronald768 104 ecdonaldb409 104 ecdonaldk409 128 donald1024 128 ronald1024 132 ecdonaldp521 144 ecdonaldb571 144 ecdonaldk571 192 ronald1536 256 donald2048 256 ronald2048 384 ronald3072 512 ronald4096 ntrumls401x 972 1 ntrumls439x 1112 1 ntrumls593x 1478 1 ntrumls743x 1927 1 19266 sflashv2 72124 pflash1 206112 mqqsig160 333540 mqqsig192 529242 mqqsig224 789552 mqqsig256

Signing 0 bytes bytes system ntrumls401x -1 1 ntrumls439x -1 1 ntrumls593x -1 1 ntrumls743x -1 1 20 mqqsig160 24 mqqsig192 28 mqqsig224 32 mqqsig256 37 pflash1 37 sflashv2 40 donald1024 40 donald2048 40 donald512 40 ecdonaldp160 42 ecdonaldb163 42 ecdonaldk163 48 ecdonaldp192 56 ecdonaldp224 60 ecdonaldb233 60 ecdonaldk233 64 ecdonaldp256 64 ed25519 64 ronald512 72 ecdonaldb283 72 ecdonaldk283 96 ecdonaldp384 96 ronald768 104 ecdonaldb409 104 ecdonaldk409 128 ronald1024 132 ecdonaldp521 144 ecdonaldb571 144 ecdonaldk571 192 ronald1536 256 ronald2048 384 ronald3072 512 ronald4096

Signing 23 bytes bytes system 20 mqqsig160 24 mqqsig192 28 mqqsig224 32 mqqsig256 37 pflash1 37 sflashv2 40 donald1024 40 donald2048 40 donald512 40 ecdonaldp160 41 ronald512 42 ecdonaldb163 42 ecdonaldk163 48 ecdonaldp192 56 ecdonaldp224 60 ecdonaldb233 60 ecdonaldk233 64 ecdonaldp256 64 ed25519 72 ecdonaldb283 72 ecdonaldk283 73 ronald768 96 ecdonaldp384 104 ecdonaldb409 104 ecdonaldk409 105 ronald1024 132 ecdonaldp521 144 ecdonaldb571 144 ecdonaldk571 169 ronald1536 233 ronald2048 361 ronald3072 489 ronald4096

Signing many bytes bytes system 20 mqqsig160 24 mqqsig192 28 mqqsig224 32 mqqsig256 37 pflash1 37 sflashv2 40 donald1024 40 donald2048 40 donald512 40 ecdonaldp160 42 ecdonaldb163 42 ecdonaldk163 43 ronald1024 43 ronald1536 43 ronald2048 43 ronald3072 43 ronald4096 43 ronald512 43 ronald768 48 ecdonaldp192 56 ecdonaldp224 60 ecdonaldb233 60 ecdonaldk233 64 ecdonaldp256 64 ed25519 72 ecdonaldb283 72 ecdonaldk283 96 ecdonaldp384 104 ecdonaldb409 104 ecdonaldk409 132 ecdonaldp521 144 ecdonaldb571 144 ecdonaldk571

armeabi; Cortex-A8 (413fc082); 2012 TI Sitara XAM3359AZCZ100; 1 x 1000MHz; bblack, supercop-20130419

Cycles to generate a key pair quartile median quartile system 721403 736215 741217 ed25519 1014565 1034270 1036099 donald512 2152138 2173327 2200554 ecdonaldp160 2926274 2955181 2987928 ecdonaldp192 3347737 3350035 3399845 donald1024 3356223 3373106 3381546 ecdonaldk163 3593237 3612916 3622448 ecdonaldb163 3864047 3886549 3934788 ecdonaldp224 5078017 5110772 5155720 ecdonaldp256 5999512 6015891 6039799 ecdonaldk233 6630276 6659344 6676224 ecdonaldb233 10977454 11023306 11053204 ecdonaldk283 12154538 12200895 12229179 ecdonaldb283 12278201 12285743 12301783 donald2048 13159865 13229908 13296744 ecdonaldp384 23906611 23977653 24051500 ecdonaldk409 27390153 27446905 27489434 ecdonaldb409 29516212 29619364 29777812 ecdonaldp521 56008246 56104172 56206156 ecdonaldk571 64056121 64160689 64320753 ecdonaldb571 85056052? 119323982? 187529713? ronald512 187746753 188300022 189046032 pflash1 218541426 218817443 219166676 rainbow 259726772? 282086530? 420249623? rwb0fuz1024 190263640? 363425067? 485462202? ronald768 477957431 478616124 480470954 sflashv2 380279228? 596765874? 874309225? ronald1024 1311079152 1416871890 1613355380 mqqsig160 920497042? 1568802176? 2141162428? ronald1536 1611993719? 1756946856? 2069315452? mqqsig192 2817965878 2945809266 3031158410 mqqsig224 1941265114? 3464547337? 5243543480? ronald2048 4540622356 4619155430 4720820090 mqqsig256 5617170852? 8665660552? 13657886270? ronald3072 11361529470? 19122745348? 31863203764? ronald4096

Cycles to sign 59 bytes quartile median quartile system 11573 11610 11654 mqqsig160 13752 13790 13816 mqqsig192 15533 15549 15612 mqqsig224 15876 15887 15917 mqqsig256 284076 292266 307388 sflashv2 728605 732224 750771 ed25519 1109989 1121388 1140824 rainbow 1167722 1180350 1195425 donald512 1924960 1947642 1970758 ronald512 2318353 2342353 2374872 ecdonaldp160 3124667 3144936 3166258 ecdonaldp192 3353401 3378469 3405477 donald1024 3559832 3567811 3583887 ecdonaldk163 3774547 3780494 3821577 ecdonaldb163 4106306 4137939 4168719 ecdonaldp224 4232858 4270901 4304321 ronald768 2574642? 4447469? 7910152? pflash1 5331636 5356043 5381142 ecdonaldp256 6321497 6338817 6353717 ecdonaldk233 6874890 6890640 6915570 ecdonaldb233 7879158 7903776 7945098 ronald1024 10726693 10739616 10750786 rwb0fuz1024 11254404 11265670 11309226 ecdonaldk283 11781172 11854847 11936609 donald2048 12582986 12598196 12658125 ecdonaldb283 13587042 13639268 13699029 ecdonaldp384 20939746 21021996 21106005 ronald1536 24652425 24688436 24733947 ecdonaldk409 27718008 27747720 27791222 ecdonaldb409 30066350 30204955 30277223 ecdonaldp521 44212369 44320374 44420152 ronald2048 56480164 56538926 56651881 ecdonaldk571 64343878 64381971 64493962 ecdonaldb571 133031281 133179580 133305100 ronald3072 298949488 299244288 299496143 ronald4096

Cycles to verify 59 bytes quartile median quartile system 50266 50346 50528 rwb0fuz1024 132327 132979 133896 ronald512 166479 167244 168118 ronald768 217624 218886 220478 ronald1024 241413 248244 265024 sflashv2 249322 250980 260468 mqqsig160 327211 333164 359792 mqqsig192 359405 360520 363640 ronald1536 554146 556866 574472 ronald2048 587180 596842 641159 mqqsig224 695683 705466 717080 pflash1 988891 1045659 1056955 mqqsig256 1083944 1103464 1104889 ronald3072 1252457 1264845 1274580 donald512 1824806 1828723 1834513 ronald4096 2058199 2058703 2062791 rainbow 2137227 2137768 2139429 ed25519 2660658 2676907 2690764 ecdonaldp160 3637862 3648046 3670720 ecdonaldp192 3854597 3904965 3921889 donald1024 4773977 4820735 4839737 ecdonaldp224 6280294 6326625 6365522 ecdonaldp256 6702078 6732964 6779000 ecdonaldk163 7255740 7276350 7314811 ecdonaldb163 12209642 12268639 12311532 ecdonaldk233 13338746 13370077 13417485 ecdonaldb233 13664137 13882214 14224945 donald2048 15992133 16069431 16191522 ecdonaldp384 22025963 22095055 22154244 ecdonaldk283 24733162 24773234 24829715 ecdonaldb283 35828207 35952526 36406303 ecdonaldp521 48690790 48776753 48839496 ecdonaldk409 54790128 54863906 54951638 ecdonaldb409 112043878 112134769 112299192 ecdonaldk571 127495913 127740774 128069328 ecdonaldb571

Secret key bytes system 60 ecdonaldp160 63 ecdonaldb163 63 ecdonaldk163 64 ed25519 72 ecdonaldp192 84 donald512 84 ecdonaldp224 90 ecdonaldb233 90 ecdonaldk233 96 ecdonaldp256 108 ecdonaldb283 108 ecdonaldk283 144 ecdonaldp384 148 donald1024 156 ecdonaldb409 156 ecdonaldk409 198 ecdonaldp521 216 ecdonaldb571 216 ecdonaldk571 265 rwb0fuz1024 276 donald2048 401 mqqsig160 465 mqqsig192 512 ronald512 529 mqqsig224 593 mqqsig256 768 ronald768 1024 ronald1024 1536 ronald1536 2048 ronald2048 2823 sflashv2 3072 ronald3072 4096 ronald4096 5550 pflash1 20107 rainbow

Public key bytes system 32 ed25519 40 ecdonaldp160 42 ecdonaldb163 42 ecdonaldk163 48 ecdonaldp192 56 ecdonaldp224 60 ecdonaldb233 60 ecdonaldk233 64 donald512 64 ecdonaldp256 64 ronald512 72 ecdonaldb283 72 ecdonaldk283 96 ecdonaldp384 96 ronald768 104 ecdonaldb409 104 ecdonaldk409 128 donald1024 128 ronald1024 128 rwb0fuz1024 132 ecdonaldp521 144 ecdonaldb571 144 ecdonaldk571 192 ronald1536 256 donald2048 256 ronald2048 384 ronald3072 512 ronald4096 19266 sflashv2 31680 rainbow 72124 pflash1 206112 mqqsig160 333540 mqqsig192 529242 mqqsig224 789552 mqqsig256

Signing 0 bytes bytes system 20 mqqsig160 24 mqqsig192 28 mqqsig224 32 mqqsig256 37 pflash1 37 sflashv2 40 donald1024 40 donald2048 40 donald512 40 ecdonaldp160 42 ecdonaldb163 42 ecdonaldk163 43 rainbow 48 ecdonaldp192 56 ecdonaldp224 60 ecdonaldb233 60 ecdonaldk233 64 ecdonaldp256 64 ed25519 64 ronald512 65 rwb0fuz1024 72 ecdonaldb283 72 ecdonaldk283 96 ecdonaldp384 96 ronald768 104 ecdonaldb409 104 ecdonaldk409 128 ronald1024 132 ecdonaldp521 144 ecdonaldb571 144 ecdonaldk571 192 ronald1536 256 ronald2048 384 ronald3072 512 ronald4096

Signing 23 bytes bytes system 20 mqqsig160 24 mqqsig192 28 mqqsig224 32 mqqsig256 37 pflash1 37 sflashv2 40 donald1024 40 donald2048 40 donald512 40 ecdonaldp160 41 ronald512 42 ecdonaldb163 42 ecdonaldk163 43 rainbow 48 ecdonaldp192 56 ecdonaldp224 60 ecdonaldb233 60 ecdonaldk233 64 ecdonaldp256 64 ed25519 65 rwb0fuz1024 72 ecdonaldb283 72 ecdonaldk283 73 ronald768 96 ecdonaldp384 104 ecdonaldb409 104 ecdonaldk409 105 ronald1024 132 ecdonaldp521 144 ecdonaldb571 144 ecdonaldk571 169 ronald1536 233 ronald2048 361 ronald3072 489 ronald4096

Signing many bytes bytes system 20 mqqsig160 24 mqqsig192 28 mqqsig224 32 mqqsig256 37 pflash1 37 sflashv2 40 donald1024 40 donald2048 40 donald512 40 ecdonaldp160 42 ecdonaldb163 42 ecdonaldk163 43 rainbow 43 ronald1024 43 ronald1536 43 ronald2048 43 ronald3072 43 ronald4096 43 ronald512 43 ronald768 48 ecdonaldp192 56 ecdonaldp224 60 ecdonaldb233 60 ecdonaldk233 64 ecdonaldp256 64 ed25519 65 rwb0fuz1024 72 ecdonaldb283 72 ecdonaldk283 96 ecdonaldp384 104 ecdonaldb409 104 ecdonaldk409 132 ecdonaldp521 144 ecdonaldb571 144 ecdonaldk571