libtomcrypt/notes/ecc_tv.txt
2018-05-22 23:02:44 +02:00

5349 lines
986 KiB
Plaintext

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
1.3.132.0.6
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
1.3.132.0.7
1, 4BA30AB5E892B4E1649DD0928643, ADCD46F5882E3747DEF36E956E97
3, 2460E4660D50E2991A2EB14B651, 7B40184A9E57AA0B667E2EDB937C
9, C757CA0E0B97AC1AC3767D626A41, 8E4FC7670105AF602971706064A
1B, 23DFB7F18DBE0608DB17D030BDB1, 9A25F67AB3AB3639C076E8D30D50
51, FDFCF33E6BC11D97ADE54F1F8C, 3A37AC069618758FD5575DAB52EF
F3, 3254CAD88A7C802398A54B1B3206, 4CA71EB30B530A8E59A80F9D08E1
2D9, 8CB6EDDD24FA31FD753E7B34CC92, C3158F9BA92438FC6FDC6662CE8A
88B, 35F47BD8BD1A121F325189F3AAF2, 7CDD5010F79B83424128746E29CE
19A1, C0965DD5EA7BCE0A7376004D1D54, 7CD4341B01BF825DC2BEDA0F82BD
4CE3, BA3F2CC26665AD335EA2D955E6AC, 6DB89C523E0732201EE3C088B98A
E6A9, 9C70FECBA6F4211234D30C42A2DF, 88279A96C31A7296E75B781E1079
2B3FB, C6FA76D5D61260CE22D35BE8C09C, 6E1788E96739A7A9181CEA5D160A
81BF1, 2AB1FE15E611C80C2AB53EB3A0BF, 1A88422244C1C9AE9334EEC07C28
1853D3, 91A7502C6B46BDB4F73A61F46318, A6F2FC0781A644894C7ACF1CCADA
48FB79, 92DC94CBE6B82F2135219C646A8D, 54B5618C9D7CB8A930E3D26DC3CE
DAF26B, 1ABE512B3E5BC91EA4874778491, 291813757A1C4E8DDB0F297F0716
290D741, 9E5A612D9A1D2D2C7C79BC671925, 4BEC20AA0A52F6DDC38A56A6CDB4
7B285C3, 6E05210074480237F2365347056A, 69536229394470F1B9F3A61A6CE1
17179149, AC202FBB4BC57FE132B012FC1DC0, 3A2225F434A52ACC7F237D25DC04
4546B3DB, 75B076A7D684C728F2D5D217A2A6, 51951B6C56D8332ED0894C6C63A2
CFD41B91, 7670AC37AA58AE5E65917F1A27D3, C92E8E6477B1BF4C2842C573570F
26F7C52B3, 4BA093DAACC0759E52C357FB2C33, 853BC25C76808FD211CD76056A8
74E74F819, 5CE5000D83D4AC37C44018153ABB, 243F470F990874FD4E7387BB47ED
15EB5EE84B, 6EA7B2221B02523DF354EF1092F8, 50891935A326E6D5336E8AD96914
41C21CB8E1, 54A5860805DEEF05B5CABDB14321, 1BA6D2EB742EBF24E79E7E3655AB
C546562AA3, 10DB27222729F6E8CEC71EF99201, 4E65F5CACD48D81E487C65FA0365
24FD3027FE9, B4FB19346FEC5580C387CFBFB50F, B956A3C42E6BAEBFD0D39F5AD18A
6EF79077FBB, CD9CFDFE316896B2CA52A08D754F, 4635E87E6F9241286F7D5F17FAD2
14CE6B167F31, B2992BD8861C073C4F917EC7C337, 715BC483E2C1D9454DEA0E4D860B
3E6B41437D93, BE92B113A8918C69618FFA0565CE, 70EFE72312CFA68ADF5E914C1A5C
BB41C3CA78B9, AF46F30DB7969EE65B460E596897, 32D0F80F32E7C11A42C9C485A4F6
231C54B5F6A2B, 7B73CE5B930BA725607798E0744D, 16A95CFCD69067184F486B2510F0
6954FE21E3E81, 92E4B00F6CBC5853334511EF4A61, 9C698DA9B598E6284FA6A3D11A62
13BFEFA65ABB83, 831749B85F732B48DF557C9BE461, 1332B9500E382F9D61E26704B474
3B3FCEF3103289, A86E16CB33C499C7F4C1F56EEA7E, 1E7089164528169DB6BEE36EAEA0
B1BF6CD930979B, 81F05B177E59BC532C76323797B1, 84479AD7CF25F5032F0ECE6309
2153E468B91C6D1, CBDE2FFFFA4F931B09C9842EBE47, 2D0D86769BEBFA57FEBBEF536012
63FBAD3A2B55473, D41A91A1E2190E75B8AC3BB7E3F, 655919928A6C94FDD20E482450B8
12BF307AE81FFD59, 2A63AC25CA707CCEE9840B69788, 90B15B4B3A1445479EDC119C3F2B
383D9170B85FF80B, 70DF0C2D8991534685DE563B4295, 221D026CB3FF8C8EB456484F8CD6
A8B8B452291FE821, FCA980B613D55BE705823F4B1A, 6BCEA67A519A7174980FB2A07629
1FA2A1CF67B5FB863, 9F6B0554DBEC91073D2A79564D08, 8B14BBD7B716A4D5CF05C4C8ABBA
5EE7E56E3721F2929, BE505ED847040875AAF73A8670D7, 6FD4C4B538C6D942C9743C763932
11CB7B04AA565D7B7B, D1953D214E93682F706B5B84773, BD88D61E1440265BF173AD2E8569
3562710DFF03187271, 687D19E2F7AD7227E7DFC8A6BDE3, 492406B8679BA66E6D21AF633CBA
A0275329FD09495753, 9EDB14A3D79EBC4B9957F15C020, 75E865ABDADBF4F2953A00EFD4CD
1E075F97DF71BDC05F9, 5D393B1BC713EF9568E8666A021D, 408BD844B66F53DEED2B8726739F
5A161EC79E5539411EB, 315CD2D819EA32C8561E3CD7BCF1, 4D683FCD622D33A78103CDE80BBB
10E425C56DAFFABC35C1, 4E28D9FE8EDD24B43ED9AA6B7CEE, A8D87B0A38F87D59BE530187D601
32AC7150490FF034A143, 299158EF18C0C041EEFDBB9E4494, CBA501ED0DDD3F9FFF8EC74C8950
980553F0DB2FD09DE3C9, 309578096C757AFFE2BBB412EC5D, 4993090F4742235DBA2120956C1D
1C80FFBD2918F71D9AB5B, 7897793758EEB5468B762CA199AA, 7FD9E378BFC57E935326F5E26380
5582FF377B4AE558D0211, 25D254F2D8A148A655936EB8C665, BB358454A0FC5764F5715DF52524
10088FDA671E0B00A70633, 31F9FCAE03963D7C78FC1DE8D832, 99B292CCB05003C1BBE5C6D1EB89
3019AF8F355A2101F51299, 3355364A7A04D4E7F1B29790C062, 79A7DA31AD6E5E852DA5F512F6DE
904D0EADA00E6305DF37CB, AC5FE3E3C6BF6F2828D80C4602A4, 35B8974B9F164EDACA0D3A41E9C3
1B0E72C08E02B29119DA761, 8E290DEAB3B4BA792D256C40768F, 41A214C760766A8F8B9558466BBA
512B5841AA0817B34D8F623, 3C6A5680CCEF735A09EF86A4BED8, 91C6FD100A23E39C940665405B1E
F38208C4FE184719E8AE269, 944C73A570DAAE091B5068D1E7D3, 22718CC3A221FFCFF04DA4AB7069
2DA861A4EFA48D54DBA0A73B, 9634C9B0E336CCE8E4B0080E0AE2, AC82B14D964173F738E61CE10969
88F924EECEEDA7FE92E1F5B1, 7B33211FD0B839C91FE3DF87C2F6, 92213D05E10CF5D14A857E9885EC
19AEB6ECC6CC8F7FBB8A5E113, C3CB8F04AD9A20A5698F2AA89AEF, 66A156EB20B36F90D96C758C1C11
4D0C24C65465AE7F329F1A339, 3B12B7F7FA68EA14F404E9653287, 13C0229BA76559F18519A132119F
E7246E52FD310B7D97DD4E9AB, D09BA6F1C21D1E66861E02279648, D802DB81270FD587BE5F5ABEE170
2B56D4AF8F7932278C797EBD01, AEB2FB5BB7FD190CAB0D415AE84C, 9CB9371F146F612F971BC9FF0520
82047E0EAE6B9676A56C7C3703, 1CA8F0CFD6262A6898FBB63B5318, 38D1CE4A5BE1953DE09C6135FB84
1860D7A2C0B42C363F04574A509, 76D056A0774DCCB434B18C67BB87, 7506033BA038A5C9ABF627BA3112
492286E8421C84A2BD0D05DEF1B, B7DE99C602ADDCFB11BA0712CB7E, 9BEAEB84BD618BADCF6147582A26
DB6794B8C6558DE83727119CD51, 5EBAA803ED31429AFF1EEE08FE2B, 2E229189386B53839FF70FA49BCB
29236BE2A5300A9B8A57534D67F3, 261CA4C5ADB2A21EEC0E35E3E451, 521565A441082FAD05C4EF7A35AE
1.3.132.0.28
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
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