Elliptic-Curves
是否有可用的 Secp256k1 ECDSA 測試範例？
是否有任何可用的測試案例來測試橢圓曲線，例如 secp256k1（來自http://www.secg.org/collat eral/sec2_final.pdf 的 Korblitz 曲線）？對於像 P192 這樣的曲線，例如有這些值： http: //point-at-infinity.org/ecc/nisttv。
此外，還有什麼其他方法可以測試橢圓曲線的實現，以確保它在加密軟體中使用的所有場景中都能正常工作？
是否有任何易於理解的關於如何程式和測試線上可用的橢圓曲線算法的範例/教程？
本著您引用的測試向量的精神，以下是 secp256k1 的一些測試向量：
Curve: secp256k1 ------------- k = 1 x = 79BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798 y = 483ADA7726A3C4655DA4FBFC0E1108A8FD17B448A68554199C47D08FFB10D4B8 k = 2 x = C6047F9441ED7D6D3045406E95C07CD85C778E4B8CEF3CA7ABAC09B95C709EE5 y = 1AE168FEA63DC339A3C58419466CEAEEF7F632653266D0E1236431A950CFE52A k = 3 x = F9308A019258C31049344F85F89D5229B531C845836F99B08601F113BCE036F9 y = 388F7B0F632DE8140FE337E62A37F3566500A99934C2231B6CB9FD7584B8E672 k = 4 x = E493DBF1C10D80F3581E4904930B1404CC6C13900EE0758474FA94ABE8C4CD13 y = 51ED993EA0D455B75642E2098EA51448D967AE33BFBDFE40CFE97BDC47739922 k = 5 x = 2F8BDE4D1A07209355B4A7250A5C5128E88B84BDDC619AB7CBA8D569B240EFE4 y = D8AC222636E5E3D6D4DBA9DDA6C9C426F788271BAB0D6840DCA87D3AA6AC62D6 k = 6 x = FFF97BD5755EEEA420453A14355235D382F6472F8568A18B2F057A1460297556 y = AE12777AACFBB620F3BE96017F45C560DE80F0F6518FE4A03C870C36B075F297 k = 7 x = 5CBDF0646E5DB4EAA398F365F2EA7A0E3D419B7E0330E39CE92BDDEDCAC4F9BC y = 6AEBCA40BA255960A3178D6D861A54DBA813D0B813FDE7B5A5082628087264DA k = 8 x = 2F01E5E15CCA351DAFF3843FB70F3C2F0A1BDD05E5AF888A67784EF3E10A2A01 y = 5C4DA8A741539949293D082A132D13B4C2E213D6BA5B7617B5DA2CB76CBDE904 k = 9 x = ACD484E2F0C7F65309AD178A9F559ABDE09796974C57E714C35F110DFC27CCBE y = CC338921B0A7D9FD64380971763B61E9ADD888A4375F8E0F05CC262AC64F9C37 k = 10 x = A0434D9E47F3C86235477C7B1AE6AE5D3442D49B1943C2B752A68E2A47E247C7 y = 893ABA425419BC27A3B6C7E693A24C696F794C2ED877A1593CBEE53B037368D7 k = 11 x = 774AE7F858A9411E5EF4246B70C65AAC5649980BE5C17891BBEC17895DA008CB y = D984A032EB6B5E190243DD56D7B7B365372DB1E2DFF9D6A8301D74C9C953C61B k = 12 x = D01115D548E7561B15C38F004D734633687CF4419620095BC5B0F47070AFE85A y = A9F34FFDC815E0D7A8B64537E17BD81579238C5DD9A86D526B051B13F4062327 k = 13 x = F28773C2D975288BC7D1D205C3748651B075FBC6610E58CDDEEDDF8F19405AA8 y = 0AB0902E8D880A89758212EB65CDAF473A1A06DA521FA91F29B5CB52DB03ED81 k = 14 x = 499FDF9E895E719CFD64E67F07D38E3226AA7B63678949E6E49B241A60E823E4 y = CAC2F6C4B54E855190F044E4A7B3D464464279C27A3F95BCC65F40D403A13F5B k = 15 x = D7924D4F7D43EA965A465AE3095FF41131E5946F3C85F79E44ADBCF8E27E080E y = 581E2872A86C72A683842EC228CC6DEFEA40AF2BD896D3A5C504DC9FF6A26B58 k = 16 x = E60FCE93B59E9EC53011AABC21C23E97B2A31369B87A5AE9C44EE89E2A6DEC0A y = F7E3507399E595929DB99F34F57937101296891E44D23F0BE1F32CCE69616821 k = 17 x = DEFDEA4CDB677750A420FEE807EACF21EB9898AE79B9768766E4FAA04A2D4A34 y = 4211AB0694635168E997B0EAD2A93DAECED1F4A04A95C0F6CFB199F69E56EB77 k = 18 x = 5601570CB47F238D2B0286DB4A990FA0F3BA28D1A319F5E7CF55C2A2444DA7CC y = C136C1DC0CBEB930E9E298043589351D81D8E0BC736AE2A1F5192E5E8B061D58 k = 19 x = 2B4EA0A797A443D293EF5CFF444F4979F06ACFEBD7E86D277475656138385B6C y = 85E89BC037945D93B343083B5A1C86131A01F60C50269763B570C854E5C09B7A k = 20 x = 4CE119C96E2FA357200B559B2F7DD5A5F02D5290AFF74B03F3E471B273211C97 y = 12BA26DCB10EC1625DA61FA10A844C676162948271D96967450288EE9233DC3A k = 112233445566778899 x = A90CC3D3F3E146DAADFC74CA1372207CB4B725AE708CEF713A98EDD73D99EF29 y = 5A79D6B289610C68BC3B47F3D72F9788A26A06868B4D8E433E1E2AD76FB7DC76 k = 112233445566778899112233445566778899 x = E5A2636BCFD412EBF36EC45B19BFB68A1BC5F8632E678132B885F7DF99C5E9B3 y = 736C1CE161AE27B405CAFD2A7520370153C2C861AC51D6C1D5985D9606B45F39 k = 28948022309329048855892746252171976963209391069768726095651290785379540373584 x = A6B594B38FB3E77C6EDF78161FADE2041F4E09FD8497DB776E546C41567FEB3C y = 71444009192228730CD8237A490FEBA2AFE3D27D7CC1136BC97E439D13330D55 k = 57896044618658097711785492504343953926418782139537452191302581570759080747168 x = 00000000000000000000003B78CE563F89A0ED9414F5AA28AD0D96D6795F9C63 y = 3F3979BF72AE8202983DC989AEC7F2FF2ED91BDD69CE02FC0700CA100E59DDF3 k = 86844066927987146567678238756515930889628173209306178286953872356138621120752 x = E24CE4BEEE294AA6350FAA67512B99D388693AE4E7F53D19882A6EA169FC1CE1 y = 8B71E83545FC2B5872589F99D948C03108D36797C4DE363EBD3FF6A9E1A95B10 k = 115792089237316195423570985008687907852837564279074904382605163141518161494317 x = 4CE119C96E2FA357200B559B2F7DD5A5F02D5290AFF74B03F3E471B273211C97 y = ED45D9234EF13E9DA259E05EF57BB3989E9D6B7D8E269698BAFD77106DCC1FF5 k = 115792089237316195423570985008687907852837564279074904382605163141518161494318 x = 2B4EA0A797A443D293EF5CFF444F4979F06ACFEBD7E86D277475656138385B6C y = 7A17643FC86BA26C4CBCF7C4A5E379ECE5FE09F3AFD9689C4A8F37AA1A3F60B5 k = 115792089237316195423570985008687907852837564279074904382605163141518161494319 x = 5601570CB47F238D2B0286DB4A990FA0F3BA28D1A319F5E7CF55C2A2444DA7CC y = 3EC93E23F34146CF161D67FBCA76CAE27E271F438C951D5E0AE6D1A074F9DED7 k = 115792089237316195423570985008687907852837564279074904382605163141518161494320 x = DEFDEA4CDB677750A420FEE807EACF21EB9898AE79B9768766E4FAA04A2D4A34 y = BDEE54F96B9CAE9716684F152D56C251312E0B5FB56A3F09304E660861A910B8 k = 115792089237316195423570985008687907852837564279074904382605163141518161494321 x = E60FCE93B59E9EC53011AABC21C23E97B2A31369B87A5AE9C44EE89E2A6DEC0A y = 081CAF8C661A6A6D624660CB0A86C8EFED6976E1BB2DC0F41E0CD330969E940E k = 115792089237316195423570985008687907852837564279074904382605163141518161494322 x = D7924D4F7D43EA965A465AE3095FF41131E5946F3C85F79E44ADBCF8E27E080E y = A7E1D78D57938D597C7BD13DD733921015BF50D427692C5A3AFB235F095D90D7 k = 115792089237316195423570985008687907852837564279074904382605163141518161494323 x = 499FDF9E895E719CFD64E67F07D38E3226AA7B63678949E6E49B241A60E823E4 y = 353D093B4AB17AAE6F0FBB1B584C2B9BB9BD863D85C06A4339A0BF2AFC5EBCD4 k = 115792089237316195423570985008687907852837564279074904382605163141518161494324 x = F28773C2D975288BC7D1D205C3748651B075FBC6610E58CDDEEDDF8F19405AA8 y = F54F6FD17277F5768A7DED149A3250B8C5E5F925ADE056E0D64A34AC24FC0EAE k = 115792089237316195423570985008687907852837564279074904382605163141518161494325 x = D01115D548E7561B15C38F004D734633687CF4419620095BC5B0F47070AFE85A y = 560CB00237EA1F285749BAC81E8427EA86DC73A2265792AD94FAE4EB0BF9D908 k = 115792089237316195423570985008687907852837564279074904382605163141518161494326 x = 774AE7F858A9411E5EF4246B70C65AAC5649980BE5C17891BBEC17895DA008CB y = 267B5FCD1494A1E6FDBC22A928484C9AC8D24E1D20062957CFE28B3536AC3614 k = 115792089237316195423570985008687907852837564279074904382605163141518161494327 x = A0434D9E47F3C86235477C7B1AE6AE5D3442D49B1943C2B752A68E2A47E247C7 y = 76C545BDABE643D85C4938196C5DB3969086B3D127885EA6C3411AC3FC8C9358 k = 115792089237316195423570985008687907852837564279074904382605163141518161494328 x = ACD484E2F0C7F65309AD178A9F559ABDE09796974C57E714C35F110DFC27CCBE y = 33CC76DE4F5826029BC7F68E89C49E165227775BC8A071F0FA33D9D439B05FF8 k = 115792089237316195423570985008687907852837564279074904382605163141518161494329 x = 2F01E5E15CCA351DAFF3843FB70F3C2F0A1BDD05E5AF888A67784EF3E10A2A01 y = A3B25758BEAC66B6D6C2F7D5ECD2EC4B3D1DEC2945A489E84A25D3479342132B k = 115792089237316195423570985008687907852837564279074904382605163141518161494330 x = 5CBDF0646E5DB4EAA398F365F2EA7A0E3D419B7E0330E39CE92BDDEDCAC4F9BC y = 951435BF45DAA69F5CE8729279E5AB2457EC2F47EC02184A5AF7D9D6F78D9755 k = 115792089237316195423570985008687907852837564279074904382605163141518161494331 x = FFF97BD5755EEEA420453A14355235D382F6472F8568A18B2F057A1460297556 y = 51ED8885530449DF0C4169FE80BA3A9F217F0F09AE701B5FC378F3C84F8A0998 k = 115792089237316195423570985008687907852837564279074904382605163141518161494332 x = 2F8BDE4D1A07209355B4A7250A5C5128E88B84BDDC619AB7CBA8D569B240EFE4 y = 2753DDD9C91A1C292B24562259363BD90877D8E454F297BF235782C459539959 k = 115792089237316195423570985008687907852837564279074904382605163141518161494333 x = E493DBF1C10D80F3581E4904930B1404CC6C13900EE0758474FA94ABE8C4CD13 y = AE1266C15F2BAA48A9BD1DF6715AEBB7269851CC404201BF30168422B88C630D k = 115792089237316195423570985008687907852837564279074904382605163141518161494334 x = F9308A019258C31049344F85F89D5229B531C845836F99B08601F113BCE036F9 y = C77084F09CD217EBF01CC819D5C80CA99AFF5666CB3DDCE4934602897B4715BD k = 115792089237316195423570985008687907852837564279074904382605163141518161494335 x = C6047F9441ED7D6D3045406E95C07CD85C778E4B8CEF3CA7ABAC09B95C709EE5 y = E51E970159C23CC65C3A7BE6B99315110809CD9ACD992F1EDC9BCE55AF301705 k = 115792089237316195423570985008687907852837564279074904382605163141518161494336 x = 79BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798 y = B7C52588D95C3B9AA25B0403F1EEF75702E84BB7597AABE663B82F6F04EF2777這些向量是使用開源庫hxBitcoin生成的。
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