view libtomcrypt/notes/ecc_tv.txt @ 1856:8f28519e34b0

Don't include sk keys at all in KEX list
author Matt Johnston <matt@ucc.asn.au>
date Sun, 23 Jan 2022 17:29:39 +0800
parents 0cbe8f6dbf9e
children
line wrap: on
line source

ecc vectors.  These are for kG for k=1,3,9,27,...,3**n until k > order of the curve outputs are <k,x,y> triplets

ECC-112
1, 9487239995A5EE76B55F9C2F098, A89CE5AF8724C0A23E0E0FF77500
3, CFC1E3447FC33E5C2A7D2BF71298, 5BD6AC32F0A9E7AAB6AF722C3CB7
9, 3F37CF870B918CD41EE58F58DF14, CEC3FA5A53FF5A372B583CE40F20
1B, D5E45D28A47A0819F3AA3018E58, B05DB66559FB78876CF830A6ADB4
51, 869FEFA6DE5F619CA54CA719554B, BB93E27BBC3FAD016BC369766F4A
F3, BF1784B857F668E9459714D80D75, BEE55B564CB923C7018E855A2E05
2D9, 27067CAB2BC8C9201B1E8F1D54FE, 4A9BCE40D87B0C82EA66D645C931
88B, 4E9974D7B890442760FE4D05FB8E, 96BF4DDF0043AB6AB78E373DF010
19A1, 6CCE9122C482A8EDC2DE37142043, BC64E1D358F7293FC9B0C2B81D3A
4CE3, 48268EA8193D8BD0308108411368, 127A6D8E01399DD3F654F713B5AB
E6A9, 46154FB1028BFD86CB29749C1E4C, C4FAD064CA84566739451DC6DEF
2B3FB, 11F16DF4A122B5C99B897921688D, C2CE146C26BB79F7CEA74A40665A
81BF1, 86023D4E9A40252B9943323AC6C2, 98BC7CFD540529771336414B0240
1853D3, 9FFAADE7C13872809428B28FFEF1, A3383F446BEBF57C93213A70B155
48FB79, B16EE42EDA484E3E32BFCD300A56, 8D0FEEE47DAAACAA9D8BCF69D2FF
DAF26B, A5B330E8EA36077522FE1C6FB7C3, 88A84BB806A6F5A4BFF3E551AF00
290D741, 3C586EF3F731E651CA6002C7332F, D059BC68D7BDBD36CFC989CF7BF0
7B285C3, C2C91FA9E776ED3BA285AB5E107A, C93F41A8A39B2BACBE05E1F93428
17179149, 354AA3FE191A506359EFE3B9EBC0, 7BEDBBEDEC768086086C474FE9DC
4546B3DB, B0C34C7B4EC509BA7D128D7B880F, D176BF07B375EBE808FB57863382
CFD41B91, 6752AE66F3D3302EDE020EF64CF5, 7ABCCC45227CE3FBA57F036E5180
26F7C52B3, C292C0F2205C7DD85C160500C39F, 44704F5CE0FA803B44BA85BD4D26
74E74F819, 560A5FD4CBEB26EF2C4A81C3AB99, 9A685B6C7F8BD203764B64980068
15EB5EE84B, BFEC2498A5C662D7CE0EC0795D86, 81EFC44FFFBA1FE5C10EA50E805B
41C21CB8E1, 3EA8636EF746B6A7D42DA2E631DD, D23DB097D9F656B902E5BCAE5923
C546562AA3, 1189BF2ED2A10F7312F0DC6AC131, 67ACBE20F636DD4B5B342A3C76B9
24FD3027FE9, 288B4BBDC29EA71196301B8AFE99, 873196BCFCCAED2E2233525917E0
6EF79077FBB, C89009F3E7A92102202082A4BE35, 84DA334BD6DF4847B23A2204BA5E
14CE6B167F31, 1C3C9F6D15A9B366431579FB48CF, 9AFB81BE81FA8D1A6D067D7CC28
3E6B41437D93, D96F30DEFAE1F3445067E1BC5126, 5F94C2A388F7F4E7EC9B783DB0CC
BB41C3CA78B9, 5E85D2777031FE74B02214A898E9, 56BDEB0542BC36CC3F6A269667EC
231C54B5F6A2B, 150A2E2416E3AC315569A3820D92, 4DF8FC1F8ACD06B742E611626199
6954FE21E3E81, 541D5FCCFC84A2C05E8A0145BFC2, 28BFDB73DCF4206857D022AF52FC
13BFEFA65ABB83, A990A2BC3B113A648B9E00D8E750, 3DEB9F5B4AA6913CAB843B8F2BB2
3B3FCEF3103289, 9A0FC99B826CC66625274DF01B38, A0570619D2047C864B90C0513575
B1BF6CD930979B, 3BABB8E3761B38E004DB334E568D, 169B474A41D6D0605A39D45C0CE7
2153E468B91C6D1, B12E873F58C89718B6DD46DA6C05, BDC3684AD8177FFF90861DEF3497
63FBAD3A2B55473, 6B9B195EA91798FDFEABACC415B7, 40A0693CFF52DE53819A9704DCA8
12BF307AE81FFD59, 8A0AB24E8E9795B8482FA478A71E, BCC991821FFB5738E066733633F3
383D9170B85FF80B, 730E403E64D699C16FACD6738B21, 919761D719C12BD2BF229193746A
A8B8B452291FE821, 3333B47B85D23C6D8300F5229461, 48D6FECEA3083B9D31EC469C6B43
1FA2A1CF67B5FB863, C3F5AE461252F5B26EBC9DF1B5FA, 16DA58A6C565708C13823D1B2E58
5EE7E56E3721F2929, 6BAEED3E90E849B001207107F7B8, 5E1C7B8EB4B3E367A4CEAF4B73C6
11CB7B04AA565D7B7B, 3385AC6BBD490AFF201532286DBF, 7B027BFF07B56FDE6F0BCB37752A
3562710DFF03187271, 8146FD74592B1145492D39680AD8, 508AA9E106E7958CF011D8AA71E9
A0275329FD09495753, B0FE244CAEED9FAEC678BD22CCD2, C97B3257468A23C4F6E883737FBB
1E075F97DF71BDC05F9, 605DCAFF23DDF804CB1CE4FD847D, 68684076591F042B98CDF14148F0
5A161EC79E5539411EB, B65AA0ACF8A9C8E99A3F64930DF1, 34613D915630023826CAE908918C
10E425C56DAFFABC35C1, 16CFD49EE4D4850F1689FAB0041C, B50DD3663AFA67A306702BB0582E
32AC7150490FF034A143, 4E0EBC80756B99D91663DB7EE498, 6A22D944B1BAECE8B2EAD6AF3F3E
980553F0DB2FD09DE3C9, 603221615965C9EC9E587C34303D, DCB1EE7A0C41E65C08CA8D78983
1C80FFBD2918F71D9AB5B, AB82F4270F8C35C774344595F48B, 3B4007030E1D65C6F8544508F5F8
5582FF377B4AE558D0211, BAADF5F7E998465DBFEC5A7A4847, 1282C981EA4D0B8E7C77DE905D5B
10088FDA671E0B00A70633, 6D60A5CD3CA86F79C566F81AE66C, 22587D260CD8D45DAD2E5CE9C2EB
3019AF8F355A2101F51299, 6805F4FC0B350109728B3F56BC41, 63A9870300ED7D0852DA7163A9CC
904D0EADA00E6305DF37CB, 183156FCD56D11B82CE4B689323E, AB6145C5F793442B022B76251767
1B0E72C08E02B29119DA761, CD59AC87B06C5D8B1EEB8C59B29A, C956728D4A8CF105F2F15B7F128A
512B5841AA0817B34D8F623, 90AA398DA812A180FE8F6C8CCC41, 9EB2C705EC011EC23345E6148DF3
F38208C4FE184719E8AE269, 2198735C806266C1C47C8AC08161, 5FD1A06C68BE0F8D08A8EE9A2C4E
2DA861A4EFA48D54DBA0A73B, 2F7E0DFD695A6FB3085C4F3E8C91, A51B8EC5C0C1989073E756666E03
88F924EECEEDA7FE92E1F5B1, 782D992A0601EF4DAFF89C133151, D52680F34F0E03B54F76E4F49F52
19AEB6ECC6CC8F7FBB8A5E113, BB4C8DC0FE6FD008C8177F0D0C01, 57574AAB071C6338598333210100
4D0C24C65465AE7F329F1A339, A12F5BBFD3757AD57EBF19FA89AC, B5F12289CFBED9161324EA137009
E7246E52FD310B7D97DD4E9AB, 6FB82F9A01630129D70A2855DFFB, 32E0E55F5B39C0FD6042126860EA
2B56D4AF8F7932278C797EBD01, 37F034607B71FD0BE1F85ACB818E, 34CC63FF7DC6E54494BE65F82BD8
82047E0EAE6B9676A56C7C3703, 920ADE8D3AAF24783082AF163FA1, 13A02EC88C9AF237467FAECF980D
1860D7A2C0B42C363F04574A509, D2790CFD605F2D322D213092A58A, 1BD7AF8E6F3710909B7D400F3B51
492286E8421C84A2BD0D05DEF1B, 7F5E570FE30F7211AF05E245C3FC, 7EED46F891C350470AB27A1CD0F9
DB6794B8C6558DE83727119CD51, 7541506150DBB1D4C44CBBD8E025, C83F59D03595F97F6FAD1EF00D77
29236BE2A5300A9B8A57534D67F3, CA36DD2689FC281999437CC412E2, 577E04E806003AAC5A4E27D496B5
7B6A43A7EF901FD29F05F9E837D9, BA57BDF8F748B946F34F0CE6BA64, 6B9B5A5A98D4D1F0BBA56489B259
ECC-128
1, 161FF7528B899B2D0C28607CA52C5B86, CF5AC8395BAFEB13C02DA292DDED7A83
3, AD632F542942F23AA423B628A304B3B, 7AA67EE421C4E78851E4B4679BCDC41F
9, C732AE957882F6ADEEF94EF4FDFDB5A, 5F832D3A461B9BE0DAB9B6EFBDAAC16A
1B, C3E7FAA2B004CC66DD779D4D4CCC92A3, 898A5F77130726447D7C6A9FF7BB55CA
51, 882E79BE6E2A92F17FCC14EA8F4A004E, 81EFEB830764DE30840441087E0269A7
F3, FC8786E47911BEB448FC8614FF44F929, 5FE26C7837CAC0E72CC392ABC915BBE9
2D9, EB3002AF9DE4BCAB7F00CE22E61E638B, BA9555616D61C3DF55F940D9BB9407E6
88B, AA37332C95651AA27D6C14B1BDC4B9, E062A0B2F0CF02FD0859E2AD452E12CA
19A1, C5364D02273F5AE032FFE5C95BA33FB, 21359BF3D455E8E4FA1B6498CF03C667
4CE3, 565406637B339CD9E514048D0C1B6669, 33657B7FAE1D43ACB8A52F5D7F0D46F5
E6A9, F686D8593E675C596913DC20C39196AB, EC3DA164F561288B3BE727ABA99A5BA8
2B3FB, CBB20B834591ED538A32B71DE5AA1694, 84CC322D35B760E1422B85AB39500CC6
81BF1, 5768402750F948709BF083D3B43D7062, 7FCB8577F1466DD3B4ADDA5431E601C9
1853D3, C63158FF3359CE48ABFCC553F4D372B9, B6F020B6798EFB8AAF545D1B9CA83214
48FB79, C8B1549674C6B1BEEB462953869C1B89, 61EA95C1FBF57EED2FD7443E667D5EF8
DAF26B, 93D97715A671D51D5901C41772EC79DE, CBC8994EAF9C478A08B6D2E6F95CA1E9
290D741, 54C38EA59EDE54565FF3B44D0B805C51, 4DF1848B089AB3E49808DC6CFD682BC2
7B285C3, C51B5FB02D8FF4095E1AFB276A4B7636, E4403921DF02292B81A41CAAD9E2A686
17179149, 39AF1443D88EBAAFF645D16F7281728B, 79992D9CABB675B1A3067D7CB4C7D2
4546B3DB, 4B549361136416D85AEB0ED0FCEB3288, 7F1DAD94D1A72737286A3032B6D15639
CFD41B91, EC268299DEFC5CC003B593F8E9D9D496, F3744002B83FFFC6A545A7EAF0FEFF6A
26F7C52B3, 6710D002065B89EF2277E6CECA7DA7E6, AA5A24DCA5010A0A026F905D357CD35F
74E74F819, 909E50A61A9634AC70A1F36B5EEA62D6, 1EFA89A81D83CC9911CD5E9978878EED
15EB5EE84B, 76AD0DCDA97CE86AFA5578E05BE3EFC4, 7DAAD7E724AE5EB4B3C9D4D0FEB2D30E
41C21CB8E1, 58DB151CE74B0E1242065F332EBC50A2, 8E65CA6336413235C7C1AC14AE2A90C6
C546562AA3, 8440EBD3BCB98DBD710835CDA523B048, 3B0DA47B14728C63811054EC0F81E8F2
24FD3027FE9, CDD14651443254E413C608F12C61A7CC, 550272BFD6373BC4FC1831B37BD5ABE0
6EF79077FBB, 4C192607510F362548461733029B3ED5, B7979006BE6A92F246D7A099F769D35F
14CE6B167F31, DEAB8C0525BF41F5C7B0CBD67C2AAB50, AEBC99F2E54D009E5E2C320F60CAEB7
3E6B41437D93, 2FD0BB2280BC6C722FE5E80D12D195F, FCA37EAB062A9462C03CA98821509D09
BB41C3CA78B9, 8A3D3FCCFD5BBFC94D16B9829527ECC8, 7B9FD0406FD2080B8AD0CD3E1783991F
231C54B5F6A2B, 3810114B6C1FE3C3ACD5522AC46AAF97, EC32DBEE521BAA4F82EF77E0619F5C18
6954FE21E3E81, 405F7016C928A10BF66DA9B03044BB9F, D4698929696E3C37AC7AC9FBBFFA4472
13BFEFA65ABB83, D67FE4FDD2ECDC8BABAF926A6781F95B, D1D6DC7CCD9136ED7F1A317C32CB21FE
3B3FCEF3103289, 19891D1CCCB0D82DC07E55D8AFD84043, F94A2B60F3612F2F93F089F4C7A7D651
B1BF6CD930979B, 420D29204148F5C5AE3E01F851DA4999, CED9F97FFBBFD48DC47A73029CCDD177
2153E468B91C6D1, DAACDE05B55CBF0390619094A2008488, 56EA7F89E84711803150BDB0421763E7
63FBAD3A2B55473, 6E5E8684280C87E1C00AD9E3D61CDF6, 52874C99CB842257C0B0F379B8BAEC93
12BF307AE81FFD59, 202E8278E8C3F2C1AF84F5A0F76F2385, 6844CC669644B1AB8EE0FDFD9EB957FB
383D9170B85FF80B, 1076688ADD5CAA1B9DF02110172F23A3, E42D03AE9241C34F9835B58086176E24
A8B8B452291FE821, 44D019D2CCEAC749E03FED3C21604CFB, FCE1C2B98417DCA06124B3AE6BB791C0
1FA2A1CF67B5FB863, 127A50F7AB7BEB412F93D71A5CF60EE3, B48160DDAD09C097CB759E77DA097FEC
5EE7E56E3721F2929, B039E3D5C41FCCF03D679CA633E467BB, FD56EF249B88F9F8E94B55531DD41DBA
11CB7B04AA565D7B7B, 604E6D877AEE8F5F9269C930C127D7D8, BE50FC8BE50F050B06110DF717825357
3562710DFF03187271, E226E23826D762D6F35BC3B3BD3DB950, CFB94DB91B375BF813D12D85245388F7
A0275329FD09495753, 83501B5274973F7AAC7E3F79952B13EE, C990598F4525E33B280624A451CCAEA4
1E075F97DF71BDC05F9, DC941F53E570141D154C8A8F6BE9696D, 69E268FD63702FA8EEB92245A64173FD
5A161EC79E5539411EB, 95582E3BA2B92671D1C55968FBFFDADD, B2D2867D6E68519E4972E107222CC2
10E425C56DAFFABC35C1, 9E55507068B0AA334B61061B55A3FA4C, 76326CA07A608EAF2E44B2850BEEE7D
32AC7150490FF034A143, 645C473D1D29E12DEB103E33788AFC31, 6DBC857B8511CBEE87DBCEE51F1BAFFC
980553F0DB2FD09DE3C9, 972FD74F9090821E1BD8282DAA179367, 31594172934FC8099FE3243C7093A6E7
1C80FFBD2918F71D9AB5B, 72508D40467FA52802A5E3EAE46A17CB, 6CDBB3294FCC463054987835AA2CF69F
5582FF377B4AE558D0211, F44B0CE30AE8581BF0276E6154BAACF0, 9DEEF0EF522DEB481A57AA528A9EF389
10088FDA671E0B00A70633, 7CAD62F23B498A629F61C277B78F53DA, 8F848CA28D10758AF2620948FE7FB18D
3019AF8F355A2101F51299, 674D4F80D1E6E600660FE8C745C35137, 8113E9FEFEE67BFA1C5F84DA37B85AC4
904D0EADA00E6305DF37CB, A2E3298F5B8D5BA408FBD59A0BCF21E7, E19DEA06A7CB2513672EEC09747311A0
1B0E72C08E02B29119DA761, 82D4054101D260AF59BC6B34D9F7EF0, 44B2678278DB6E19D6D7F679C64E2A83
512B5841AA0817B34D8F623, 7FF216DEBB005D7D53E8FD83CC0B7399, E326E0E156FF26FE96EB3D139849C187
F38208C4FE184719E8AE269, 98A614DBD92CAD5D17A0A51BBA6651C, 6168C46592C07BAF794C2018483DF4E0
2DA861A4EFA48D54DBA0A73B, E15AE151CFFFF7C9BAB06C0C4E02189A, 4FD57A693728B5851B96176BE8A020CA
88F924EECEEDA7FE92E1F5B1, 626AD277498319CEAB580C3DAD611364, D635A54D313CA01AE564D15090E8DDEB
19AEB6ECC6CC8F7FBB8A5E113, FBB841D08716F39105F0C6A0E6B44D34, B23848958CE5573D5E61D77AE65AFBA5
4D0C24C65465AE7F329F1A339, ED6A4EC608872EDDF0DCCFAB98CAEED0, 380D8EB7DFD27459673189FD0985857C
E7246E52FD310B7D97DD4E9AB, CD713A6FA65C4DECB2E919D81FA26EE3, 7C76DE743916BFD44823F21C97FE6F17
2B56D4AF8F7932278C797EBD01, 129F5F40B7015CA3182E56DB5BB94527, B547386942DC53B940ABB4D710C573B
82047E0EAE6B9676A56C7C3703, D61FE443E8768B4A7C75C51DFC79B3C1, 3D4EB1AA062D55772A54FA4082629402
1860D7A2C0B42C363F04574A509, B65B5424B49167FAF49F45D0F95E6BF5, F5B3477C391B4A0DF92B5F54A633225
492286E8421C84A2BD0D05DEF1B, 9DA44051B7F939BBD5A4D0156AB26975, 9E9A77EA27C4B6281A04C2E8B20C2440
DB6794B8C6558DE83727119CD51, 4C6F67B418FB5E4E354DCB622F55893, 9CE7E4249148A54EF9F75A23BFF7E163
29236BE2A5300A9B8A57534D67F3, 84FBDE461ABFB4C47D9F9EF607390113, 2DB9ED91647C0BB98985BFF0BC652C94
7B6A43A7EF901FD29F05F9E837D9, 111A425699A95CD6E6CFC8B2DE7982A8, DE3C25EB858FF46CFCD755C465EE0EA7
1723ECAF7CEB05F77DD11EDB8A78B, 418DDDF6455242DC8E3CF706F7357A31, 9874EFD9B781E72D6DEA50907E09F9F5
456BC60E76C111E679735C929F6A1, 24B1B158EB838752EB7EE82661942D6B, D630B06558D5C804203229D23CB97B1B
D043522B644335B36C5A15B7DE3E3, AA62C51A16D74D572E05D72465A9EAE8, BA546EF43C8432DD112F6F3F33484FA6
270C9F6822CC9A11A450E41279ABA9, B17D5A63D3E50E0759FACE17139F4C9B, 59F0D096D23A72BCF3990DDDF9B135F
7525DE386865CE34ECF2AC376D02FB, C394A85DDDF3E8DF5A784CC2D94B87B7, 4B812AEC48DCD1A8856522862CE11FED
15F719AA939316A9EC6D804A64708F1, DA54D51C35FBF5D55CE16C5D3551A64F, B5B46E38541FA7D4E8B300F3ECF46299
41E54CFFBAB943FDC54880DF2D51AD3, D52F7E4371E70669479959E67426F091, AA001B1E7714D0E2B6DE83A839CF3083
C5AFE6FF302BCBF94FD9829D87F5079, 81C87D44A112676C129F7F0A8AB2FC2E, 734E4D8902E68F34655AD425DE9C4D8F
2510FB4FD908363EBEF8C87D897DF16B, 56CD2AEED77F0DB901402C32DFF4C325, 4AC2237E19DA29D0F281B2B4F18953A0
6F32F1EF8B18A2BC3CEA59789C79D441, 356212C5077F17620E6A781AF20CD65, D45C73449F6B5F7F271DBDCB09AE90C0
ECC-160
1, 4A96B5688EF573284664698968C38BB913CBFC82, 23A628553168947D59DCC912042351377AC5FB32
3, 7B76FF541EF363F2DF13DE1650BD48DAA958BC59, C915CA790D8C8877B55BE0079D12854FFE9F6F5A
9, 25393E48E2B7B5DF8142CF731E3F00664D93BBB, E75DE5DF76185C0D233F23A2E7B973A954694156
1B, A3E33AEB16B8B30F28BE00A54ED1D1278EF7E4C3, EA331BABC1F9C850CB6FE00C6E8D595A2F0A526A
51, 734F0EC134FA53E573BE31828ECDCFE969230F18, B39736E2FE9A766947CC8F236627E6551C74F1A3
F3, B5C70987F380C3A1482499B7E38DE108E49B1B7, DA72E3B069331A4CCCA6C6770C1B0E95BED8F3BB
2D9, A2DCEB63F2DA16B8ACD68B6EFFCC730BC767D400, 23D6DEFF4A0C085D623627D28E991EE25D5AE745
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