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ec_curve.c
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上传日期：2020-08-09
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其他游戏

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Visual C++

ec_curve.c：源码内容
  1. /* crypto/ec/ec_curve.c */
  2. /*
  3.  * Written by Nils Larsch for the OpenSSL project.
  4.  */
  5. /* ====================================================================
  6.  * Copyright (c) 1998-2004 The OpenSSL Project.  All rights reserved.
  7.  *
  8.  * Redistribution and use in source and binary forms, with or without
  9.  * modification, are permitted provided that the following conditions
  10.  * are met:
  11.  *
  12.  * 1. Redistributions of source code must retain the above copyright
  13.  *    notice, this list of conditions and the following disclaimer. 
  14.  *
  15.  * 2. Redistributions in binary form must reproduce the above copyright
  16.  *    notice, this list of conditions and the following disclaimer in
  17.  *    the documentation and/or other materials provided with the
  18.  *    distribution.
  19.  *
  20.  * 3. All advertising materials mentioning features or use of this
  21.  *    software must display the following acknowledgment:
  22.  *    "This product includes software developed by the OpenSSL Project
  23.  *    for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
  24.  *
  25.  * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
  26.  *    endorse or promote products derived from this software without
  27.  *    prior written permission. For written permission, please contact
  28.  *    openssl-core@openssl.org.
  29.  *
  30.  * 5. Products derived from this software may not be called "OpenSSL"
  31.  *    nor may "OpenSSL" appear in their names without prior written
  32.  *    permission of the OpenSSL Project.
  33.  *
  34.  * 6. Redistributions of any form whatsoever must retain the following
  35.  *    acknowledgment:
  36.  *    "This product includes software developed by the OpenSSL Project
  37.  *    for use in the OpenSSL Toolkit (http://www.openssl.org/)"
  38.  *
  39.  * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
  40.  * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
  41.  * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
  42.  * PURPOSE ARE DISCLAIMED.  IN NO EVENT SHALL THE OpenSSL PROJECT OR
  43.  * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
  44.  * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
  45.  * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
  46.  * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
  47.  * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
  48.  * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
  49.  * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
  50.  * OF THE POSSIBILITY OF SUCH DAMAGE.
  51.  * ====================================================================
  52.  *
  53.  * This product includes cryptographic software written by Eric Young
  54.  * (eay@cryptsoft.com).  This product includes software written by Tim
  55.  * Hudson (tjh@cryptsoft.com).
  56.  *
  57.  */
  58. /* ====================================================================
  59.  * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
  60.  *
  61.  * Portions of the attached software ("Contribution") are developed by 
  62.  * SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project.
  63.  *
  64.  * The Contribution is licensed pursuant to the OpenSSL open source
  65.  * license provided above.
  66.  *
  67.  * The elliptic curve binary polynomial software is originally written by 
  68.  * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories.
  69.  *
  70.  */
  72. #include "ec_lcl.h"
  73. #include <openssl/err.h>
  74. #include <openssl/obj_mac.h>
  76. typedef struct ec_curve_data_st {
  77. int field_type; /* either NID_X9_62_prime_field or
  78.  * NID_X9_62_characteristic_two_field */
  79. const char *p; /* either a prime number or a polynomial */
  80. const char *a;
  81. const char *b;
  82. const char *x; /* the x coordinate of the generator */
  83. const char *y; /* the y coordinate of the generator */
  84. const char *order; /* the order of the group generated by the
  85.  * generator */
  86. const BN_ULONG cofactor;/* the cofactor */
  87. const unsigned char *seed;/* the seed (optional) */
  88. size_t seed_len;
  89. const char *comment; /* a short description of the curve */
  90. } EC_CURVE_DATA;
  92. /* the nist prime curves */
  93. static const unsigned char _EC_NIST_PRIME_192_SEED[] = {
  94. 0x30,0x45,0xAE,0x6F,0xC8,0x42,0x2F,0x64,0xED,0x57,
  95. 0x95,0x28,0xD3,0x81,0x20,0xEA,0xE1,0x21,0x96,0xD5};
  96. static const EC_CURVE_DATA _EC_NIST_PRIME_192 = {
  97. NID_X9_62_prime_field,
  98. "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF",
  99. "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC",
  100. "64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1",
  101. "188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF1012",
  102. "07192b95ffc8da78631011ed6b24cdd573f977a11e794811",
  103. "FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831",1,
  104. _EC_NIST_PRIME_192_SEED, 20,
  105. "NIST/X9.62/SECG curve over a 192 bit prime field"
  106. };
  108. static const unsigned char _EC_NIST_PRIME_224_SEED[] = {
  109. 0xBD,0x71,0x34,0x47,0x99,0xD5,0xC7,0xFC,0xDC,0x45,
  110. 0xB5,0x9F,0xA3,0xB9,0xAB,0x8F,0x6A,0x94,0x8B,0xC5};
  111. static const EC_CURVE_DATA _EC_NIST_PRIME_224 = {
  112. NID_X9_62_prime_field,
  113. "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001",
  114. "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE",
  115. "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4",
  116. "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21",
  117. "bd376388b5f723fb4c22dfe6cd4375a05a07476444d5819985007e34",
  118. "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D",1,
  119. _EC_NIST_PRIME_224_SEED, 20,
  120. "NIST/SECG curve over a 224 bit prime field"
  121. };
  123. static const unsigned char _EC_NIST_PRIME_384_SEED[] = {
  124. 0xA3,0x35,0x92,0x6A,0xA3,0x19,0xA2,0x7A,0x1D,0x00,
  125. 0x89,0x6A,0x67,0x73,0xA4,0x82,0x7A,0xCD,0xAC,0x73};
  126. static const EC_CURVE_DATA _EC_NIST_PRIME_384 = {
  127. NID_X9_62_prime_field,
  128. "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFF"
  129. "FFF0000000000000000FFFFFFFF",
  130. "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFF"
  131. "FFF0000000000000000FFFFFFFC",
  132. "B3312FA7E23EE7E4988E056BE3F82D19181D9C6EFE8141120314088F5013875AC6563"
  133. "98D8A2ED19D2A85C8EDD3EC2AEF",
  134. "AA87CA22BE8B05378EB1C71EF320AD746E1D3B628BA79B9859F741E082542A385502F"
  135. "25DBF55296C3A545E3872760AB7",
  136. "3617de4a96262c6f5d9e98bf9292dc29f8f41dbd289a147ce9da3113b5f0b8c00a60b"
  137. "1ce1d7e819d7a431d7c90ea0e5f",
  138. "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC7634D81F4372DDF581A0"
  139. "DB248B0A77AECEC196ACCC52973",1,
  140. _EC_NIST_PRIME_384_SEED, 20,
  141. "NIST/SECG curve over a 384 bit prime field"
  142. };
  144. static const unsigned char _EC_NIST_PRIME_521_SEED[] = {
  145. 0xD0,0x9E,0x88,0x00,0x29,0x1C,0xB8,0x53,0x96,0xCC,
  146. 0x67,0x17,0x39,0x32,0x84,0xAA,0xA0,0xDA,0x64,0xBA};
  147. static const EC_CURVE_DATA _EC_NIST_PRIME_521 = {
  148. NID_X9_62_prime_field,
  149. "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
  150. "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
  151. "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
  152. "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC",
  153. "051953EB9618E1C9A1F929A21A0B68540EEA2DA725B99B315F3B8B489918EF109E156"
  154. "193951EC7E937B1652C0BD3BB1BF073573DF883D2C34F1EF451FD46B503F00",
  155. "C6858E06B70404E9CD9E3ECB662395B4429C648139053FB521F828AF606B4D3DBAA14"
  156. "B5E77EFE75928FE1DC127A2FFA8DE3348B3C1856A429BF97E7E31C2E5BD66",
  157. "011839296a789a3bc0045c8a5fb42c7d1bd998f54449579b446817afbd17273e662c9"
  158. "7ee72995ef42640c550b9013fad0761353c7086a272c24088be94769fd16650",
  159. "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFA51"
  160. "868783BF2F966B7FCC0148F709A5D03BB5C9B8899C47AEBB6FB71E91386409",1,
  161. _EC_NIST_PRIME_521_SEED, 20,
  162. "NIST/SECG curve over a 521 bit prime field"
  163. };
  164. /* the x9.62 prime curves (minus the nist prime curves) */
  165. static const unsigned char _EC_X9_62_PRIME_192V2_SEED[] = {
  166. 0x31,0xA9,0x2E,0xE2,0x02,0x9F,0xD1,0x0D,0x90,0x1B,
  167. 0x11,0x3E,0x99,0x07,0x10,0xF0,0xD2,0x1A,0xC6,0xB6};
  168. static const EC_CURVE_DATA _EC_X9_62_PRIME_192V2 = {
  169. NID_X9_62_prime_field,
  170. "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF",
  171. "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC",
  172. "CC22D6DFB95C6B25E49C0D6364A4E5980C393AA21668D953",
  173. "EEA2BAE7E1497842F2DE7769CFE9C989C072AD696F48034A",
  174. "6574d11d69b6ec7a672bb82a083df2f2b0847de970b2de15",
  175. "FFFFFFFFFFFFFFFFFFFFFFFE5FB1A724DC80418648D8DD31",1,
  176. _EC_X9_62_PRIME_192V2_SEED, 20,
  177. "X9.62 curve over a 192 bit prime field"
  178. };
  180. static const unsigned char _EC_X9_62_PRIME_192V3_SEED[] = {
  181. 0xC4,0x69,0x68,0x44,0x35,0xDE,0xB3,0x78,0xC4,0xB6,
  182. 0x5C,0xA9,0x59,0x1E,0x2A,0x57,0x63,0x05,0x9A,0x2E};
  183. static const EC_CURVE_DATA _EC_X9_62_PRIME_192V3 = {
  184. NID_X9_62_prime_field,
  185. "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF",
  186. "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC",
  187. "22123DC2395A05CAA7423DAECCC94760A7D462256BD56916",
  188. "7D29778100C65A1DA1783716588DCE2B8B4AEE8E228F1896",
  189. "38a90f22637337334b49dcb66a6dc8f9978aca7648a943b0",
  190. "FFFFFFFFFFFFFFFFFFFFFFFF7A62D031C83F4294F640EC13",1,
  191. _EC_X9_62_PRIME_192V3_SEED, 20,
  192. "X9.62 curve over a 192 bit prime field"
  193. };
  195. static const unsigned char _EC_X9_62_PRIME_239V1_SEED[] = {
  196. 0xE4,0x3B,0xB4,0x60,0xF0,0xB8,0x0C,0xC0,0xC0,0xB0,
  197. 0x75,0x79,0x8E,0x94,0x80,0x60,0xF8,0x32,0x1B,0x7D};
  198. static const EC_CURVE_DATA _EC_X9_62_PRIME_239V1 = {
  199. NID_X9_62_prime_field,
  200. "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFF",
  201. "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFC",
  202. "6B016C3BDCF18941D0D654921475CA71A9DB2FB27D1D37796185C2942C0A",
  203. "0FFA963CDCA8816CCC33B8642BEDF905C3D358573D3F27FBBD3B3CB9AAAF",
  204. "7debe8e4e90a5dae6e4054ca530ba04654b36818ce226b39fccb7b02f1ae",
  205. "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFF9E5E9A9F5D9071FBD1522688909D0B",1,
  206. _EC_X9_62_PRIME_239V1_SEED, 20,
  207. "X9.62 curve over a 239 bit prime field"
  208. };
  210. static const unsigned char _EC_X9_62_PRIME_239V2_SEED[] = {
  211. 0xE8,0xB4,0x01,0x16,0x04,0x09,0x53,0x03,0xCA,0x3B,
  212. 0x80,0x99,0x98,0x2B,0xE0,0x9F,0xCB,0x9A,0xE6,0x16};
  213. static const EC_CURVE_DATA _EC_X9_62_PRIME_239V2 = {
  214. NID_X9_62_prime_field,
  215. "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFF",
  216. "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFC",
  217. "617FAB6832576CBBFED50D99F0249C3FEE58B94BA0038C7AE84C8C832F2C",
  218. "38AF09D98727705120C921BB5E9E26296A3CDCF2F35757A0EAFD87B830E7",
  219. "5b0125e4dbea0ec7206da0fc01d9b081329fb555de6ef460237dff8be4ba",
  220. "7FFFFFFFFFFFFFFFFFFFFFFF800000CFA7E8594377D414C03821BC582063",1,
  221. _EC_X9_62_PRIME_239V2_SEED, 20,
  222. "X9.62 curve over a 239 bit prime field"
  223. };
  225. static const unsigned char _EC_X9_62_PRIME_239V3_SEED[] = {
  226. 0x7D,0x73,0x74,0x16,0x8F,0xFE,0x34,0x71,0xB6,0x0A,
  227. 0x85,0x76,0x86,0xA1,0x94,0x75,0xD3,0xBF,0xA2,0xFF};
  228. static const EC_CURVE_DATA _EC_X9_62_PRIME_239V3 = {
  229. NID_X9_62_prime_field,
  230. "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFF",
  231. "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFC",
  232. "255705FA2A306654B1F4CB03D6A750A30C250102D4988717D9BA15AB6D3E",
  233. "6768AE8E18BB92CFCF005C949AA2C6D94853D0E660BBF854B1C9505FE95A",
  234. "1607e6898f390c06bc1d552bad226f3b6fcfe48b6e818499af18e3ed6cf3",
  235. "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFF975DEB41B3A6057C3C432146526551",1,
  236. _EC_X9_62_PRIME_239V3_SEED, 20,
  237. "X9.62 curve over a 239 bit prime field"
  238. };
  240. static const unsigned char _EC_X9_62_PRIME_256V1_SEED[] = {
  241. 0xC4,0x9D,0x36,0x08,0x86,0xE7,0x04,0x93,0x6A,0x66,
  242. 0x78,0xE1,0x13,0x9D,0x26,0xB7,0x81,0x9F,0x7E,0x90};
  243. static const EC_CURVE_DATA _EC_X9_62_PRIME_256V1 = {
  244. NID_X9_62_prime_field,
  245. "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF",
  246. "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC",
  247. "5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B",
  248. "6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296",
  249. "4fe342e2fe1a7f9b8ee7eb4a7c0f9e162bce33576b315ececbb6406837bf51f5",
  250. "FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E84F3B9CAC2FC632551",1,
  251. _EC_X9_62_PRIME_256V1_SEED, 20,
  252. "X9.62/SECG curve over a 256 bit prime field"
  253. };
  254. /* the secg prime curves (minus the nist and x9.62 prime curves) */
  255. static const unsigned char _EC_SECG_PRIME_112R1_SEED[] = {
  256. 0x00,0xF5,0x0B,0x02,0x8E,0x4D,0x69,0x6E,0x67,0x68,
  257. 0x75,0x61,0x51,0x75,0x29,0x04,0x72,0x78,0x3F,0xB1};
  258. static const EC_CURVE_DATA _EC_SECG_PRIME_112R1 = {
  259. NID_X9_62_prime_field,
  260. "DB7C2ABF62E35E668076BEAD208B",
  261. "DB7C2ABF62E35E668076BEAD2088",
  262. "659EF8BA043916EEDE8911702B22",
  263. "09487239995A5EE76B55F9C2F098",
  264. "a89ce5af8724c0a23e0e0ff77500",
  265. "DB7C2ABF62E35E7628DFAC6561C5",1,
  266. _EC_SECG_PRIME_112R1_SEED, 20,
  267. "SECG/WTLS curve over a 112 bit prime field"
  268. };
  270. static const unsigned char _EC_SECG_PRIME_112R2_SEED[] = {
  271. 0x00,0x27,0x57,0xA1,0x11,0x4D,0x69,0x6E,0x67,0x68,
  272. 0x75,0x61,0x51,0x75,0x53,0x16,0xC0,0x5E,0x0B,0xD4};
  273. static const EC_CURVE_DATA _EC_SECG_PRIME_112R2 = {
  274. NID_X9_62_prime_field,
  275. "DB7C2ABF62E35E668076BEAD208B",
  276. "6127C24C05F38A0AAAF65C0EF02C",
  277. "51DEF1815DB5ED74FCC34C85D709",
  278. "4BA30AB5E892B4E1649DD0928643",
  279. "adcd46f5882e3747def36e956e97",
  280. "36DF0AAFD8B8D7597CA10520D04B",4, 
  281. _EC_SECG_PRIME_112R2_SEED, 20,
  282. "SECG curve over a 112 bit prime field"
  283. };
  285. static const unsigned char _EC_SECG_PRIME_128R1_SEED[] = {
  286. 0x00,0x0E,0x0D,0x4D,0x69,0x6E,0x67,0x68,0x75,0x61,
  287. 0x51,0x75,0x0C,0xC0,0x3A,0x44,0x73,0xD0,0x36,0x79};
  288. static const EC_CURVE_DATA _EC_SECG_PRIME_128R1 = {
  289. NID_X9_62_prime_field,
  290. "FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFF",
  291. "FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFC",
  292. "E87579C11079F43DD824993C2CEE5ED3",
  293. "161FF7528B899B2D0C28607CA52C5B86",
  294. "cf5ac8395bafeb13c02da292dded7a83",
  295. "FFFFFFFE0000000075A30D1B9038A115",1,
  296. _EC_SECG_PRIME_128R1_SEED, 20,
  297. "SECG curve over a 128 bit prime field"
  298. };
  300. static const unsigned char _EC_SECG_PRIME_128R2_SEED[] = {
  301. 0x00,0x4D,0x69,0x6E,0x67,0x68,0x75,0x61,0x51,0x75,
  302. 0x12,0xD8,0xF0,0x34,0x31,0xFC,0xE6,0x3B,0x88,0xF4};
  303. static const EC_CURVE_DATA _EC_SECG_PRIME_128R2 = {
  304. NID_X9_62_prime_field,
  305. "FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFF",
  306. "D6031998D1B3BBFEBF59CC9BBFF9AEE1",
  307. "5EEEFCA380D02919DC2C6558BB6D8A5D",
  308. "7B6AA5D85E572983E6FB32A7CDEBC140",
  309. "27b6916a894d3aee7106fe805fc34b44",
  310. "3FFFFFFF7FFFFFFFBE0024720613B5A3",4,
  311. _EC_SECG_PRIME_128R2_SEED, 20,
  312. "SECG curve over a 128 bit prime field"
  313. };
  315. static const EC_CURVE_DATA _EC_SECG_PRIME_160K1 = {
  316. NID_X9_62_prime_field,
  317. "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC73",
  318. "0",
  319. "7",
  320. "3B4C382CE37AA192A4019E763036F4F5DD4D7EBB",
  321. "938cf935318fdced6bc28286531733c3f03c4fee",
  322. "0100000000000000000001B8FA16DFAB9ACA16B6B3",1,
  323. NULL, 0,
  324. "SECG curve over a 160 bit prime field"
  325. };
  327. static const unsigned char _EC_SECG_PRIME_160R1_SEED[] = {
  328. 0x10,0x53,0xCD,0xE4,0x2C,0x14,0xD6,0x96,0xE6,0x76,
  329. 0x87,0x56,0x15,0x17,0x53,0x3B,0xF3,0xF8,0x33,0x45};
  330. static const EC_CURVE_DATA _EC_SECG_PRIME_160R1 = {
  331. NID_X9_62_prime_field,
  332. "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFF",
  333. "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFC",
  334. "1C97BEFC54BD7A8B65ACF89F81D4D4ADC565FA45",
  335. "4A96B5688EF573284664698968C38BB913CBFC82",
  336. "23a628553168947d59dcc912042351377ac5fb32",
  337. "0100000000000000000001F4C8F927AED3CA752257",1,
  338. _EC_SECG_PRIME_160R1_SEED, 20,
  339. "SECG curve over a 160 bit prime field"
  340. };
  342. static const unsigned char _EC_SECG_PRIME_160R2_SEED[] = {
  343. 0xB9,0x9B,0x99,0xB0,0x99,0xB3,0x23,0xE0,0x27,0x09,
  344. 0xA4,0xD6,0x96,0xE6,0x76,0x87,0x56,0x15,0x17,0x51};
  345. static const EC_CURVE_DATA _EC_SECG_PRIME_160R2 = {
  346. NID_X9_62_prime_field,
  347. "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC73",
  348. "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC70",
  349. "B4E134D3FB59EB8BAB57274904664D5AF50388BA",
  350. "52DCB034293A117E1F4FF11B30F7199D3144CE6D",
  351. "feaffef2e331f296e071fa0df9982cfea7d43f2e",
  352. "0100000000000000000000351EE786A818F3A1A16B",1,
  353. _EC_SECG_PRIME_160R2_SEED, 20,
  354. "SECG/WTLS curve over a 160 bit prime field"
  355. };
  357. static const EC_CURVE_DATA _EC_SECG_PRIME_192K1 = {
  358. NID_X9_62_prime_field,
  359. "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFEE37",
  360. "0",
  361. "3",
  362. "DB4FF10EC057E9AE26B07D0280B7F4341DA5D1B1EAE06C7D",
  363. "9b2f2f6d9c5628a7844163d015be86344082aa88d95e2f9d",
  364. "FFFFFFFFFFFFFFFFFFFFFFFE26F2FC170F69466A74DEFD8D",1,
  365. NULL, 20,
  366. "SECG curve over a 192 bit prime field"
  367. };
  369. static const EC_CURVE_DATA _EC_SECG_PRIME_224K1 = {
  370. NID_X9_62_prime_field,
  371. "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFE56D",
  372. "0",
  373. "5",
  374. "A1455B334DF099DF30FC28A169A467E9E47075A90F7E650EB6B7A45C",
  375. "7e089fed7fba344282cafbd6f7e319f7c0b0bd59e2ca4bdb556d61a5",
  376. "010000000000000000000000000001DCE8D2EC6184CAF0A971769FB1F7",1,
  377. NULL, 20,
  378. "SECG curve over a 224 bit prime field"
  379. };
  381. static const EC_CURVE_DATA _EC_SECG_PRIME_256K1 = {
  382. NID_X9_62_prime_field,
  383. "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFC2F",
  384. "0",
  385. "7",
  386. "79BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798",
  387. "483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8",
  388. "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141",1,
  389. NULL, 20,
  390. "SECG curve over a 256 bit prime field"
  391. };
  393. /* some wap/wtls curves */
  394. static const EC_CURVE_DATA _EC_WTLS_8 = {
  395. NID_X9_62_prime_field,
  396. "FFFFFFFFFFFFFFFFFFFFFFFFFDE7",
  397. "0",
  398. "3",
  399. "1",
  400. "2",
  401. "0100000000000001ECEA551AD837E9",1,
  402. NULL, 20,
  403. "WTLS curve over a 112 bit prime field"
  404. };
  406. static const EC_CURVE_DATA _EC_WTLS_9 = {
  407. NID_X9_62_prime_field,
  408. "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC808F",
  409. "0",
  410. "3",
  411. "1",
  412. "2",
  413. "0100000000000000000001CDC98AE0E2DE574ABF33",1,
  414. NULL, 20,
  415. "WTLS curve over a 160 bit prime field"
  416. };
  418. static const EC_CURVE_DATA _EC_WTLS_12 = {
  419. NID_X9_62_prime_field,
  420. "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001",
  421. "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE",
  422. "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4",
  423. "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21",
  424. "bd376388b5f723fb4c22dfe6cd4375a05a07476444d5819985007e34",
  425. "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D", 1,
  426. NULL, 0,
  427. "WTLS curvs over a 224 bit prime field"
  428. };
  430. /* characteristic two curves */
  431. static const unsigned char _EC_SECG_CHAR2_113R1_SEED[] = {
  432. 0x10,0xE7,0x23,0xAB,0x14,0xD6,0x96,0xE6,0x76,0x87,
  433. 0x56,0x15,0x17,0x56,0xFE,0xBF,0x8F,0xCB,0x49,0xA9};
  434. static const EC_CURVE_DATA _EC_SECG_CHAR2_113R1 = {
  435. NID_X9_62_characteristic_two_field,
  436. "020000000000000000000000000201",
  437. "003088250CA6E7C7FE649CE85820F7",
  438. "00E8BEE4D3E2260744188BE0E9C723",
  439. "009D73616F35F4AB1407D73562C10F",
  440. "00A52830277958EE84D1315ED31886",
  441. "0100000000000000D9CCEC8A39E56F", 2,
  442. _EC_SECG_CHAR2_113R1_SEED, 20,
  443. "SECG curve over a 113 bit binary field"
  444. };
  446. static const unsigned char _EC_SECG_CHAR2_113R2_SEED[] = {
  447. 0x10,0xC0,0xFB,0x15,0x76,0x08,0x60,0xDE,0xF1,0xEE,
  448. 0xF4,0xD6,0x96,0xE6,0x76,0x87,0x56,0x15,0x17,0x5D};
  449. static const EC_CURVE_DATA _EC_SECG_CHAR2_113R2 = {
  450. NID_X9_62_characteristic_two_field,
  451. "020000000000000000000000000201",
  452. "00689918DBEC7E5A0DD6DFC0AA55C7",
  453. "0095E9A9EC9B297BD4BF36E059184F",
  454. "01A57A6A7B26CA5EF52FCDB8164797",
  455. "00B3ADC94ED1FE674C06E695BABA1D",
  456. "010000000000000108789B2496AF93", 2,
  457. _EC_SECG_CHAR2_113R2_SEED, 20,
  458. "SECG curve over a 113 bit binary field"
  459. };
  461. static const unsigned char _EC_SECG_CHAR2_131R1_SEED[] = {
  462. 0x4D,0x69,0x6E,0x67,0x68,0x75,0x61,0x51,0x75,0x98,
  463. 0x5B,0xD3,0xAD,0xBA,0xDA,0x21,0xB4,0x3A,0x97,0xE2};
  464. static const EC_CURVE_DATA _EC_SECG_CHAR2_131R1 = {
  465. NID_X9_62_characteristic_two_field,
  466. "080000000000000000000000000000010D",
  467. "07A11B09A76B562144418FF3FF8C2570B8",
  468. "0217C05610884B63B9C6C7291678F9D341",
  469. "0081BAF91FDF9833C40F9C181343638399",
  470. "078C6E7EA38C001F73C8134B1B4EF9E150",
  471. "0400000000000000023123953A9464B54D", 2,
  472. _EC_SECG_CHAR2_131R1_SEED, 20,
  473. "SECG/WTLS curve over a 131 bit binary field"
  474. };
  476. static const unsigned char _EC_SECG_CHAR2_131R2_SEED[] = {
  477. 0x98,0x5B,0xD3,0xAD,0xBA,0xD4,0xD6,0x96,0xE6,0x76,
  478. 0x87,0x56,0x15,0x17,0x5A,0x21,0xB4,0x3A,0x97,0xE3};
  479. static const EC_CURVE_DATA _EC_SECG_CHAR2_131R2 = {
  480. NID_X9_62_characteristic_two_field,
  481. "080000000000000000000000000000010D",
  482. "03E5A88919D7CAFCBF415F07C2176573B2",
  483. "04B8266A46C55657AC734CE38F018F2192",
  484. "0356DCD8F2F95031AD652D23951BB366A8",
  485. "0648F06D867940A5366D9E265DE9EB240F",
  486. "0400000000000000016954A233049BA98F", 2,
  487. _EC_SECG_CHAR2_131R2_SEED, 20,
  488. "SECG curve over a 131 bit binary field"
  489. };
  491. static const EC_CURVE_DATA _EC_NIST_CHAR2_163K = {
  492. NID_X9_62_characteristic_two_field,
  493. "0800000000000000000000000000000000000000C9",
  494. "1",
  495. "1",
  496. "02FE13C0537BBC11ACAA07D793DE4E6D5E5C94EEE8",
  497. "0289070FB05D38FF58321F2E800536D538CCDAA3D9",
  498. "04000000000000000000020108A2E0CC0D99F8A5EF", 2,
  499. NULL, 0,
  500. "NIST/SECG/WTLS curve over a 163 bit binary field"
  501. };
  503. static const unsigned char _EC_SECG_CHAR2_163R1_SEED[] = {
  504. 0x24,0xB7,0xB1,0x37,0xC8,0xA1,0x4D,0x69,0x6E,0x67,
  505. 0x68,0x75,0x61,0x51,0x75,0x6F,0xD0,0xDA,0x2E,0x5C};
  506. static const EC_CURVE_DATA _EC_SECG_CHAR2_163R1 = {
  507. NID_X9_62_characteristic_two_field,
  508. "0800000000000000000000000000000000000000C9",
  509. "07B6882CAAEFA84F9554FF8428BD88E246D2782AE2",
  510. "0713612DCDDCB40AAB946BDA29CA91F73AF958AFD9",
  511. "0369979697AB43897789566789567F787A7876A654",
  512. "00435EDB42EFAFB2989D51FEFCE3C80988F41FF883",
  513. "03FFFFFFFFFFFFFFFFFFFF48AAB689C29CA710279B", 2,
  514. /* The algorithm used to derive the curve parameters from
  515.  * the seed used here is slightly different than the
  516.  * algorithm described in X9.62 .
  517.  */
  518. #if 0
  519. _EC_SECG_CHAR2_163R1_SEED, 20,
  520. #else
  521. NULL, 0,
  522. #endif
  523. "SECG curve over a 163 bit binary field"
  524. };
  526. static const unsigned char _EC_NIST_CHAR2_163B_SEED[] = {
  527. 0x85,0xE2,0x5B,0xFE,0x5C,0x86,0x22,0x6C,0xDB,0x12,
  528. 0x01,0x6F,0x75,0x53,0xF9,0xD0,0xE6,0x93,0xA2,0x68};
  529. static const EC_CURVE_DATA _EC_NIST_CHAR2_163B ={
  530. NID_X9_62_characteristic_two_field,
  531. "0800000000000000000000000000000000000000C9",
  532. "1",
  533. "020A601907B8C953CA1481EB10512F78744A3205FD",
  534. "03F0EBA16286A2D57EA0991168D4994637E8343E36",
  535. "00D51FBC6C71A0094FA2CDD545B11C5C0C797324F1",
  536. "040000000000000000000292FE77E70C12A4234C33", 2,
  537. /* The seed here was used to created the curve parameters in normal
  538.  * basis representation (and not the polynomial representation used here) 
  539.  */
  540. #if 0
  541. _EC_NIST_CHAR2_163B_SEED, 20,
  542. #else
  543. NULL, 0,
  544. #endif
  545. "NIST/SECG curve over a 163 bit binary field"
  546. };
  548. static const unsigned char _EC_SECG_CHAR2_193R1_SEED[] = {
  549. 0x10,0x3F,0xAE,0xC7,0x4D,0x69,0x6E,0x67,0x68,0x75,
  550. 0x61,0x51,0x75,0x77,0x7F,0xC5,0xB1,0x91,0xEF,0x30};
  551. static const EC_CURVE_DATA _EC_SECG_CHAR2_193R1 = {
  552. NID_X9_62_characteristic_two_field,
  553. "02000000000000000000000000000000000000000000008001",
  554. "0017858FEB7A98975169E171F77B4087DE098AC8A911DF7B01",
  555. "00FDFB49BFE6C3A89FACADAA7A1E5BBC7CC1C2E5D831478814",
  556. "01F481BC5F0FF84A74AD6CDF6FDEF4BF6179625372D8C0C5E1",
  557. "0025E399F2903712CCF3EA9E3A1AD17FB0B3201B6AF7CE1B05",
  558. "01000000000000000000000000C7F34A778F443ACC920EBA49", 2,
  559. _EC_SECG_CHAR2_193R1_SEED, 20,
  560. "SECG curve over a 193 bit binary field"
  561. };
  563. static const unsigned char _EC_SECG_CHAR2_193R2_SEED[] = {
  564. 0x10,0xB7,0xB4,0xD6,0x96,0xE6,0x76,0x87,0x56,0x15,
  565. 0x17,0x51,0x37,0xC8,0xA1,0x6F,0xD0,0xDA,0x22,0x11};
  566. static const EC_CURVE_DATA _EC_SECG_CHAR2_193R2 = {
  567. NID_X9_62_characteristic_two_field,
  568. "02000000000000000000000000000000000000000000008001",
  569. "0163F35A5137C2CE3EA6ED8667190B0BC43ECD69977702709B",
  570. "00C9BB9E8927D4D64C377E2AB2856A5B16E3EFB7F61D4316AE",
  571. "00D9B67D192E0367C803F39E1A7E82CA14A651350AAE617E8F",
  572. "01CE94335607C304AC29E7DEFBD9CA01F596F927224CDECF6C",
  573. "010000000000000000000000015AAB561B005413CCD4EE99D5", 2,
  574. _EC_SECG_CHAR2_193R2_SEED, 20,
  575. "SECG curve over a 193 bit binary field"
  576. };
  578. static const EC_CURVE_DATA _EC_NIST_CHAR2_233K = {
  579. NID_X9_62_characteristic_two_field,
  580. "020000000000000000000000000000000000000004000000000000000001",
  581. "0",
  582. "1",
  583. "017232BA853A7E731AF129F22FF4149563A419C26BF50A4C9D6EEFAD6126",
  584. "01DB537DECE819B7F70F555A67C427A8CD9BF18AEB9B56E0C11056FAE6A3",
  585. "008000000000000000000000000000069D5BB915BCD46EFB1AD5F173ABDF", 4,
  586. NULL, 0,
  587. "NIST/SECG/WTLS curve over a 233 bit binary field"
  588. };
  590. static const unsigned char _EC_NIST_CHAR2_233B_SEED[] = {
  591. 0x74,0xD5,0x9F,0xF0,0x7F,0x6B,0x41,0x3D,0x0E,0xA1,
  592. 0x4B,0x34,0x4B,0x20,0xA2,0xDB,0x04,0x9B,0x50,0xC3};
  593. static const EC_CURVE_DATA _EC_NIST_CHAR2_233B = {
  594. NID_X9_62_characteristic_two_field,
  595. "020000000000000000000000000000000000000004000000000000000001",
  596. "000000000000000000000000000000000000000000000000000000000001",
  597. "0066647EDE6C332C7F8C0923BB58213B333B20E9CE4281FE115F7D8F90AD",
  598. "00FAC9DFCBAC8313BB2139F1BB755FEF65BC391F8B36F8F8EB7371FD558B",
  599. "01006A08A41903350678E58528BEBF8A0BEFF867A7CA36716F7E01F81052",
  600. "01000000000000000000000000000013E974E72F8A6922031D2603CFE0D7", 2,
  601. _EC_NIST_CHAR2_233B_SEED, 20,
  602. "NIST/SECG/WTLS curve over a 233 bit binary field"
  603. };
  605. static const EC_CURVE_DATA _EC_SECG_CHAR2_239K1 = {
  606. NID_X9_62_characteristic_two_field,
  607. "800000000000000000004000000000000000000000000000000000000001",
  608. "0",
  609. "1",
  610. "29A0B6A887A983E9730988A68727A8B2D126C44CC2CC7B2A6555193035DC",
  611. "76310804F12E549BDB011C103089E73510ACB275FC312A5DC6B76553F0CA",
  612. "2000000000000000000000000000005A79FEC67CB6E91F1C1DA800E478A5", 4,
  613. NULL, 0,
  614. "SECG curve over a 239 bit binary field"
  615. };
  617. static const EC_CURVE_DATA _EC_NIST_CHAR2_283K = {
  618. NID_X9_62_characteristic_two_field,
  619. "080000000000000000000000000000000000000000000000000000000000000000001"
  620. "0A1",
  621. "0",
  622. "1",
  623. "0503213F78CA44883F1A3B8162F188E553CD265F23C1567A16876913B0C2AC2458492"
  624. "836",
  625. "01CCDA380F1C9E318D90F95D07E5426FE87E45C0E8184698E45962364E34116177DD2"
  626. "259",
  627. "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE9AE2ED07577265DFF7F94451E061E163"
  628. "C61", 4,
  629. NULL, 20,
  630. "NIST/SECG curve over a 283 bit binary field"
  631. };
  633. static const unsigned char _EC_NIST_CHAR2_283B_SEED[] = {
  634. 0x77,0xE2,0xB0,0x73,0x70,0xEB,0x0F,0x83,0x2A,0x6D,
  635. 0xD5,0xB6,0x2D,0xFC,0x88,0xCD,0x06,0xBB,0x84,0xBE};
  636. static const EC_CURVE_DATA _EC_NIST_CHAR2_283B = {
  637. NID_X9_62_characteristic_two_field,
  638. "080000000000000000000000000000000000000000000000000000000000000000001"
  639. "0A1",
  640. "000000000000000000000000000000000000000000000000000000000000000000000"
  641. "001",
  642. "027B680AC8B8596DA5A4AF8A19A0303FCA97FD7645309FA2A581485AF6263E313B79A"
  643. "2F5",
  644. "05F939258DB7DD90E1934F8C70B0DFEC2EED25B8557EAC9C80E2E198F8CDBECD86B12"
  645. "053",
  646. "03676854FE24141CB98FE6D4B20D02B4516FF702350EDDB0826779C813F0DF45BE811"
  647. "2F4",
  648. "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEF90399660FC938A90165B042A7CEFADB"
  649. "307", 2,
  650. _EC_NIST_CHAR2_283B_SEED, 20,
  651. "NIST/SECG curve over a 283 bit binary field"
  652. };
  654. static const EC_CURVE_DATA _EC_NIST_CHAR2_409K = {
  655. NID_X9_62_characteristic_two_field,
  656. "020000000000000000000000000000000000000000000000000000000000000000000"
  657. "00000000000008000000000000000000001",
  658. "0",
  659. "1",
  660. "0060F05F658F49C1AD3AB1890F7184210EFD0987E307C84C27ACCFB8F9F67CC2C4601"
  661. "89EB5AAAA62EE222EB1B35540CFE9023746",
  662. "01E369050B7C4E42ACBA1DACBF04299C3460782F918EA427E6325165E9EA10E3DA5F6"
  663. "C42E9C55215AA9CA27A5863EC48D8E0286B",
  664. "007FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE5F83B2D4EA20400"
  665. "EC4557D5ED3E3E7CA5B4B5C83B8E01E5FCF", 4,
  666. NULL, 0,
  667. "NIST/SECG curve over a 409 bit binary field"
  668. };
  670. static const unsigned char _EC_NIST_CHAR2_409B_SEED[] = {
  671. 0x40,0x99,0xB5,0xA4,0x57,0xF9,0xD6,0x9F,0x79,0x21,
  672. 0x3D,0x09,0x4C,0x4B,0xCD,0x4D,0x42,0x62,0x21,0x0B};
  673. static const EC_CURVE_DATA _EC_NIST_CHAR2_409B = {
  674. NID_X9_62_characteristic_two_field,
  675. "020000000000000000000000000000000000000000000000000000000000000000000"
  676. "00000000000008000000000000000000001",
  677. "000000000000000000000000000000000000000000000000000000000000000000000"
  678. "00000000000000000000000000000000001",
  679. "0021A5C2C8EE9FEB5C4B9A753B7B476B7FD6422EF1F3DD674761FA99D6AC27C8A9A19"
  680. "7B272822F6CD57A55AA4F50AE317B13545F",
  681. "015D4860D088DDB3496B0C6064756260441CDE4AF1771D4DB01FFE5B34E59703DC255"
  682. "A868A1180515603AEAB60794E54BB7996A7",
  683. "0061B1CFAB6BE5F32BBFA78324ED106A7636B9C5A7BD198D0158AA4F5488D08F38514"
  684. "F1FDF4B4F40D2181B3681C364BA0273C706",
  685. "010000000000000000000000000000000000000000000000000001E2AAD6A612F3330"
  686. "7BE5FA47C3C9E052F838164CD37D9A21173", 2,
  687. _EC_NIST_CHAR2_409B_SEED, 20,
  688. "NIST/SECG curve over a 409 bit binary field"
  689. };
  691. static const EC_CURVE_DATA _EC_NIST_CHAR2_571K = {
  692. NID_X9_62_characteristic_two_field,
  693. "800000000000000000000000000000000000000000000000000000000000000000000"
  694. "000000000000000000000000000000000000000000000000000000000000000000000"
  695. "00425",
  696. "0",
  697. "1",
  698. "026EB7A859923FBC82189631F8103FE4AC9CA2970012D5D46024804801841CA443709"
  699. "58493B205E647DA304DB4CEB08CBBD1BA39494776FB988B47174DCA88C7E2945283A0"
  700. "1C8972",
  701. "0349DC807F4FBF374F4AEADE3BCA95314DD58CEC9F307A54FFC61EFC006D8A2C9D497"
  702. "9C0AC44AEA74FBEBBB9F772AEDCB620B01A7BA7AF1B320430C8591984F601CD4C143E"
  703. "F1C7A3",
  704. "020000000000000000000000000000000000000000000000000000000000000000000"
  705. "000131850E1F19A63E4B391A8DB917F4138B630D84BE5D639381E91DEB45CFE778F63"
  706. "7C1001", 4,
  707. NULL, 0,
  708. "NIST/SECG curve over a 571 bit binary field"
  709. };
  711. static const unsigned char _EC_NIST_CHAR2_571B_SEED[] = {
  712. 0x2A,0xA0,0x58,0xF7,0x3A,0x0E,0x33,0xAB,0x48,0x6B,
  713. 0x0F,0x61,0x04,0x10,0xC5,0x3A,0x7F,0x13,0x23,0x10};
  714. static const EC_CURVE_DATA _EC_NIST_CHAR2_571B = {
  715. NID_X9_62_characteristic_two_field,
  716. "800000000000000000000000000000000000000000000000000000000000000000000"
  717. "000000000000000000000000000000000000000000000000000000000000000000000"
  718. "00425",
  719. "000000000000000000000000000000000000000000000000000000000000000000000"
  720. "000000000000000000000000000000000000000000000000000000000000000000000"
  721. "000001",
  722. "02F40E7E2221F295DE297117B7F3D62F5C6A97FFCB8CEFF1CD6BA8CE4A9A18AD84FFA"
  723. "BBD8EFA59332BE7AD6756A66E294AFD185A78FF12AA520E4DE739BACA0C7FFEFF7F29"
  724. "55727A",
  725. "0303001D34B856296C16C0D40D3CD7750A93D1D2955FA80AA5F40FC8DB7B2ABDBDE53"
  726. "950F4C0D293CDD711A35B67FB1499AE60038614F1394ABFA3B4C850D927E1E7769C8E"
  727. "EC2D19",
  728. "037BF27342DA639B6DCCFFFEB73D69D78C6C27A6009CBBCA1980F8533921E8A684423"
  729. "E43BAB08A576291AF8F461BB2A8B3531D2F0485C19B16E2F1516E23DD3C1A4827AF1B"
  730. "8AC15B",
  731. "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
  732. "FFFE661CE18FF55987308059B186823851EC7DD9CA1161DE93D5174D66E8382E9BB2F"
  733. "E84E47", 2,
  734. _EC_NIST_CHAR2_571B_SEED, 20,
  735. "NIST/SECG curve over a 571 bit binary field"
  736. };
  738. static const unsigned char _EC_X9_62_CHAR2_163V1_SEED[] = {
  739. 0xD2,0xC0,0xFB,0x15,0x76,0x08,0x60,0xDE,0xF1,0xEE,
  740. 0xF4,0xD6,0x96,0xE6,0x76,0x87,0x56,0x15,0x17,0x54};
  741. static const EC_CURVE_DATA _EC_X9_62_CHAR2_163V1 = {
  742. NID_X9_62_characteristic_two_field,
  743. "080000000000000000000000000000000000000107",
  744. "072546B5435234A422E0789675F432C89435DE5242",
  745. "00C9517D06D5240D3CFF38C74B20B6CD4D6F9DD4D9",
  746. "07AF69989546103D79329FCC3D74880F33BBE803CB",
  747. "01EC23211B5966ADEA1D3F87F7EA5848AEF0B7CA9F",
  748. "0400000000000000000001E60FC8821CC74DAEAFC1", 2,
  749. _EC_X9_62_CHAR2_163V1_SEED, 20,
  750. "X9.62 curve over a 163 bit binary field"
  751. };
  753. static const unsigned char _EC_X9_62_CHAR2_163V2_SEED[] = {
  754. 0x53,0x81,0x4C,0x05,0x0D,0x44,0xD6,0x96,0xE6,0x76,
  755. 0x87,0x56,0x15,0x17,0x58,0x0C,0xA4,0xE2,0x9F,0xFD};
  756. static const EC_CURVE_DATA _EC_X9_62_CHAR2_163V2 = {
  757. NID_X9_62_characteristic_two_field,
  758.   "080000000000000000000000000000000000000107",
  759. "0108B39E77C4B108BED981ED0E890E117C511CF072",
  760. "0667ACEB38AF4E488C407433FFAE4F1C811638DF20",
  761. "0024266E4EB5106D0A964D92C4860E2671DB9B6CC5",
  762. "079F684DDF6684C5CD258B3890021B2386DFD19FC5",
  763. "03FFFFFFFFFFFFFFFFFFFDF64DE1151ADBB78F10A7", 2,
  764. _EC_X9_62_CHAR2_163V2_SEED, 20,
  765. "X9.62 curve over a 163 bit binary field"
  766. };
  768. static const unsigned char _EC_X9_62_CHAR2_163V3_SEED[] = {
  769. 0x50,0xCB,0xF1,0xD9,0x5C,0xA9,0x4D,0x69,0x6E,0x67,
  770. 0x68,0x75,0x61,0x51,0x75,0xF1,0x6A,0x36,0xA3,0xB8};
  771. static const EC_CURVE_DATA _EC_X9_62_CHAR2_163V3 = {
  772. NID_X9_62_characteristic_two_field,
  773. "080000000000000000000000000000000000000107",
  774. "07A526C63D3E25A256A007699F5447E32AE456B50E",
  775. "03F7061798EB99E238FD6F1BF95B48FEEB4854252B",
  776. "02F9F87B7C574D0BDECF8A22E6524775F98CDEBDCB",
  777. "05B935590C155E17EA48EB3FF3718B893DF59A05D0",
  778. "03FFFFFFFFFFFFFFFFFFFE1AEE140F110AFF961309", 2,
  779. _EC_X9_62_CHAR2_163V3_SEED, 20,
  780. "X9.62 curve over a 163 bit binary field"
  781. };
  783. static const EC_CURVE_DATA _EC_X9_62_CHAR2_176V1 = {
  784. NID_X9_62_characteristic_two_field,
  785. "0100000000000000000000000000000000080000000007",
  786. "E4E6DB2995065C407D9D39B8D0967B96704BA8E9C90B",
  787. "5DDA470ABE6414DE8EC133AE28E9BBD7FCEC0AE0FFF2",
  788. "8D16C2866798B600F9F08BB4A8E860F3298CE04A5798",
  789. "6FA4539C2DADDDD6BAB5167D61B436E1D92BB16A562C",
  790. "00010092537397ECA4F6145799D62B0A19CE06FE26AD", 0xFF6E,
  791. NULL, 0,
  792. "X9.62 curve over a 176 bit binary field"
  793. };
  795. static const unsigned char _EC_X9_62_CHAR2_191V1_SEED[] = {
  796. 0x4E,0x13,0xCA,0x54,0x27,0x44,0xD6,0x96,0xE6,0x76,
  797. 0x87,0x56,0x15,0x17,0x55,0x2F,0x27,0x9A,0x8C,0x84};
  798. static const EC_CURVE_DATA _EC_X9_62_CHAR2_191V1 = {
  799. NID_X9_62_characteristic_two_field,
  800. "800000000000000000000000000000000000000000000201",
  801. "2866537B676752636A68F56554E12640276B649EF7526267",
  802. "2E45EF571F00786F67B0081B9495A3D95462F5DE0AA185EC",
  803. "36B3DAF8A23206F9C4F299D7B21A9C369137F2C84AE1AA0D",
  804. "765BE73433B3F95E332932E70EA245CA2418EA0EF98018FB",
  805. "40000000000000000000000004A20E90C39067C893BBB9A5", 2,
  806. _EC_X9_62_CHAR2_191V1_SEED, 20,
  807. "X9.62 curve over a 191 bit binary field"
  808. };
  810. static const unsigned char _EC_X9_62_CHAR2_191V2_SEED[] = {
  811. 0x08,0x71,0xEF,0x2F,0xEF,0x24,0xD6,0x96,0xE6,0x76,
  812. 0x87,0x56,0x15,0x17,0x58,0xBE,0xE0,0xD9,0x5C,0x15};
  813. static const EC_CURVE_DATA _EC_X9_62_CHAR2_191V2 = {
  814. NID_X9_62_characteristic_two_field,
  815. "800000000000000000000000000000000000000000000201",
  816. "401028774D7777C7B7666D1366EA432071274F89FF01E718",
  817. "0620048D28BCBD03B6249C99182B7C8CD19700C362C46A01",
  818. "3809B2B7CC1B28CC5A87926AAD83FD28789E81E2C9E3BF10",
  819. "17434386626D14F3DBF01760D9213A3E1CF37AEC437D668A",
  820. "20000000000000000000000050508CB89F652824E06B8173", 4,
  821. _EC_X9_62_CHAR2_191V2_SEED, 20,
  822. "X9.62 curve over a 191 bit binary field"
  823. };
  825. static const unsigned char _EC_X9_62_CHAR2_191V3_SEED[] = {
  826. 0xE0,0x53,0x51,0x2D,0xC6,0x84,0xD6,0x96,0xE6,0x76,
  827. 0x87,0x56,0x15,0x17,0x50,0x67,0xAE,0x78,0x6D,0x1F};
  828. static const EC_CURVE_DATA _EC_X9_62_CHAR2_191V3 = {
  829. NID_X9_62_characteristic_two_field,
  830. "800000000000000000000000000000000000000000000201",
  831. "6C01074756099122221056911C77D77E77A777E7E7E77FCB",
  832. "71FE1AF926CF847989EFEF8DB459F66394D90F32AD3F15E8",
  833. "375D4CE24FDE434489DE8746E71786015009E66E38A926DD",
  834. "545A39176196575D985999366E6AD34CE0A77CD7127B06BE",
  835. "155555555555555555555555610C0B196812BFB6288A3EA3", 6,
  836. _EC_X9_62_CHAR2_191V3_SEED, 20,
  837. "X9.62 curve over a 191 bit binary field"
  838. };
  840. static const EC_CURVE_DATA _EC_X9_62_CHAR2_208W1 = {
  841. NID_X9_62_characteristic_two_field,
  842. "010000000000000000000000000000000800000000000000000007",
  843. "0000000000000000000000000000000000000000000000000000",
  844. "C8619ED45A62E6212E1160349E2BFA844439FAFC2A3FD1638F9E",
  845. "89FDFBE4ABE193DF9559ECF07AC0CE78554E2784EB8C1ED1A57A",
  846. "0F55B51A06E78E9AC38A035FF520D8B01781BEB1A6BB08617DE3",
  847. "000101BAF95C9723C57B6C21DA2EFF2D5ED588BDD5717E212F9D", 0xFE48,
  848. NULL, 0,
  849. "X9.62 curve over a 208 bit binary field"
  850. };
  852. static const unsigned char _EC_X9_62_CHAR2_239V1_SEED[] = {
  853. 0xD3,0x4B,0x9A,0x4D,0x69,0x6E,0x67,0x68,0x75,0x61,
  854. 0x51,0x75,0xCA,0x71,0xB9,0x20,0xBF,0xEF,0xB0,0x5D};
  855. static const EC_CURVE_DATA _EC_X9_62_CHAR2_239V1 = {
  856. NID_X9_62_characteristic_two_field,
  857. "800000000000000000000000000000000000000000000000001000000001",
  858. "32010857077C5431123A46B808906756F543423E8D27877578125778AC76",
  859. "790408F2EEDAF392B012EDEFB3392F30F4327C0CA3F31FC383C422AA8C16",
  860. "57927098FA932E7C0A96D3FD5B706EF7E5F5C156E16B7E7C86038552E91D",
  861. "61D8EE5077C33FECF6F1A16B268DE469C3C7744EA9A971649FC7A9616305",
  862. "2000000000000000000000000000000F4D42FFE1492A4993F1CAD666E447", 4,
  863. _EC_X9_62_CHAR2_239V1_SEED, 20,
  864. "X9.62 curve over a 239 bit binary field"
  865. };
  867. static const unsigned char _EC_X9_62_CHAR2_239V2_SEED[] = {
  868. 0x2A,0xA6,0x98,0x2F,0xDF,0xA4,0xD6,0x96,0xE6,0x76,
  869. 0x87,0x56,0x15,0x17,0x5D,0x26,0x67,0x27,0x27,0x7D};
  870. static const EC_CURVE_DATA _EC_X9_62_CHAR2_239V2 = {
  871. NID_X9_62_characteristic_two_field,
  872. "800000000000000000000000000000000000000000000000001000000001",
  873. "4230017757A767FAE42398569B746325D45313AF0766266479B75654E65F",
  874. "5037EA654196CFF0CD82B2C14A2FCF2E3FF8775285B545722F03EACDB74B",
  875. "28F9D04E900069C8DC47A08534FE76D2B900B7D7EF31F5709F200C4CA205",
  876. "5667334C45AFF3B5A03BAD9DD75E2C71A99362567D5453F7FA6E227EC833",
  877. "1555555555555555555555555555553C6F2885259C31E3FCDF154624522D", 6,
  878. _EC_X9_62_CHAR2_239V2_SEED, 20,
  879. "X9.62 curve over a 239 bit binary field"
  880. };
  882. static const unsigned char _EC_X9_62_CHAR2_239V3_SEED[] = {
  883. 0x9E,0x07,0x6F,0x4D,0x69,0x6E,0x67,0x68,0x75,0x61,
  884. 0x51,0x75,0xE1,0x1E,0x9F,0xDD,0x77,0xF9,0x20,0x41};
  885. static const EC_CURVE_DATA _EC_X9_62_CHAR2_239V3 = {
  886. NID_X9_62_characteristic_two_field,
  887. "800000000000000000000000000000000000000000000000001000000001",
  888. "01238774666A67766D6676F778E676B66999176666E687666D8766C66A9F",
  889. "6A941977BA9F6A435199ACFC51067ED587F519C5ECB541B8E44111DE1D40",
  890. "70F6E9D04D289C4E89913CE3530BFDE903977D42B146D539BF1BDE4E9C92",
  891. "2E5A0EAF6E5E1305B9004DCE5C0ED7FE59A35608F33837C816D80B79F461",
  892. "0CCCCCCCCCCCCCCCCCCCCCCCCCCCCCAC4912D2D9DF903EF9888B8A0E4CFF", 0xA,
  893. _EC_X9_62_CHAR2_239V3_SEED, 20,
  894. "X9.62 curve over a 239 bit binary field"
  895. };
  897. static const EC_CURVE_DATA _EC_X9_62_CHAR2_272W1 = {
  898. NID_X9_62_characteristic_two_field,
  899. "010000000000000000000000000000000000000000000000000000010000000000000"
  900. "B",
  901. "91A091F03B5FBA4AB2CCF49C4EDD220FB028712D42BE752B2C40094DBACDB586FB20",
  902. "7167EFC92BB2E3CE7C8AAAFF34E12A9C557003D7C73A6FAF003F99F6CC8482E540F7",
  903. "6108BABB2CEEBCF787058A056CBE0CFE622D7723A289E08A07AE13EF0D10D171DD8D",
  904. "10C7695716851EEF6BA7F6872E6142FBD241B830FF5EFCACECCAB05E02005DDE9D23",
  905. "000100FAF51354E0E39E4892DF6E319C72C8161603FA45AA7B998A167B8F1E629521",
  906. 0xFF06,
  907. NULL, 0,
  908. "X9.62 curve over a 272 bit binary field"
  909. };
  911. static const EC_CURVE_DATA _EC_X9_62_CHAR2_304W1 = {
  912. NID_X9_62_characteristic_two_field,
  913. "010000000000000000000000000000000000000000000000000000000000000000000"
  914. "000000807",
  915. "FD0D693149A118F651E6DCE6802085377E5F882D1B510B44160074C1288078365A039"
  916. "6C8E681",
  917. "BDDB97E555A50A908E43B01C798EA5DAA6788F1EA2794EFCF57166B8C14039601E558"
  918. "27340BE",
  919. "197B07845E9BE2D96ADB0F5F3C7F2CFFBD7A3EB8B6FEC35C7FD67F26DDF6285A644F7"
  920. "40A2614",
  921. "E19FBEB76E0DA171517ECF401B50289BF014103288527A9B416A105E80260B549FDC1"
  922. "B92C03B",
  923. "000101D556572AABAC800101D556572AABAC8001022D5C91DD173F8FB561DA6899164"
  924. "443051D", 0xFE2E,
  925. NULL, 0,
  926. "X9.62 curve over a 304 bit binary field"
  927. };
  929. static const unsigned char _EC_X9_62_CHAR2_359V1_SEED[] = {
  930. 0x2B,0x35,0x49,0x20,0xB7,0x24,0xD6,0x96,0xE6,0x76,
  931. 0x87,0x56,0x15,0x17,0x58,0x5B,0xA1,0x33,0x2D,0xC6};
  932. static const EC_CURVE_DATA _EC_X9_62_CHAR2_359V1 = {
  933. NID_X9_62_characteristic_two_field,
  934. "800000000000000000000000000000000000000000000000000000000000000000000"
  935. "000100000000000000001",
  936. "5667676A654B20754F356EA92017D946567C46675556F19556A04616B567D223A5E05"
  937. "656FB549016A96656A557",
  938. "2472E2D0197C49363F1FE7F5B6DB075D52B6947D135D8CA445805D39BC34562608968"
  939. "7742B6329E70680231988",
  940. "3C258EF3047767E7EDE0F1FDAA79DAEE3841366A132E163ACED4ED2401DF9C6BDCDE9"
  941. "8E8E707C07A2239B1B097",
  942. "53D7E08529547048121E9C95F3791DD804963948F34FAE7BF44EA82365DC7868FE57E"
  943. "4AE2DE211305A407104BD",
  944. "01AF286BCA1AF286BCA1AF286BCA1AF286BCA1AF286BC9FB8F6B85C556892C20A7EB9"
  945. "64FE7719E74F490758D3B", 0x4C,
  946. _EC_X9_62_CHAR2_359V1_SEED, 20,
  947. "X9.62 curve over a 359 bit binary field"
  948. };
  950. static const EC_CURVE_DATA _EC_X9_62_CHAR2_368W1 = {
  951. NID_X9_62_characteristic_two_field,
  952. "010000000000000000000000000000000000000000000000000000000000000000000"
  953. "0002000000000000000000007",
  954. "E0D2EE25095206F5E2A4F9ED229F1F256E79A0E2B455970D8D0D865BD94778C576D62"
  955. "F0AB7519CCD2A1A906AE30D",
  956. "FC1217D4320A90452C760A58EDCD30C8DD069B3C34453837A34ED50CB54917E1C2112"
  957. "D84D164F444F8F74786046A",
  958. "1085E2755381DCCCE3C1557AFA10C2F0C0C2825646C5B34A394CBCFA8BC16B22E7E78"
  959. "9E927BE216F02E1FB136A5F",
  960. "7B3EB1BDDCBA62D5D8B2059B525797FC73822C59059C623A45FF3843CEE8F87CD1855"
  961. "ADAA81E2A0750B80FDA2310",
  962. "00010090512DA9AF72B08349D98A5DD4C7B0532ECA51CE03E2D10F3B7AC579BD87E90"
  963. "9AE40A6F131E9CFCE5BD967", 0xFF70,
  964. NULL, 0,
  965. "X9.62 curve over a 368 bit binary field"
  966. };
  968. static const EC_CURVE_DATA _EC_X9_62_CHAR2_431R1 = {
  969. NID_X9_62_characteristic_two_field,
  970. "800000000000000000000000000000000000000000000000000000000000000000000"
  971. "000000001000000000000000000000000000001",
  972. "1A827EF00DD6FC0E234CAF046C6A5D8A85395B236CC4AD2CF32A0CADBDC9DDF620B0E"
  973. "B9906D0957F6C6FEACD615468DF104DE296CD8F",
  974. "10D9B4A3D9047D8B154359ABFB1B7F5485B04CEB868237DDC9DEDA982A679A5A919B6"
  975. "26D4E50A8DD731B107A9962381FB5D807BF2618",
  976. "120FC05D3C67A99DE161D2F4092622FECA701BE4F50F4758714E8A87BBF2A658EF8C2"
  977. "1E7C5EFE965361F6C2999C0C247B0DBD70CE6B7",
  978. "20D0AF8903A96F8D5FA2C255745D3C451B302C9346D9B7E485E7BCE41F6B591F3E8F6"
  979. "ADDCBB0BC4C2F947A7DE1A89B625D6A598B3760",
  980. "0340340340340340340340340340340340340340340340340340340323C313FAB5058"
  981. "9703B5EC68D3587FEC60D161CC149C1AD4A91", 0x2760,
  982. NULL, 0,
  983. "X9.62 curve over a 431 bit binary field"
  984. };
  986. static const EC_CURVE_DATA _EC_WTLS_1 = {
  987. NID_X9_62_characteristic_two_field,
  988. "020000000000000000000000000201",
  989. "1",
  990. "1",
  991. "01667979A40BA497E5D5C270780617",
  992. "00F44B4AF1ECC2630E08785CEBCC15",
  993. "00FFFFFFFFFFFFFFFDBF91AF6DEA73", 2,
  994. NULL, 0,
  995. "WTLS curve over a 113 bit binary field"
  996. };
  998. /* IPSec curves */
  999. /* NOTE: The of curves over a extension field of non prime degree
  1000.  * is not recommended (Weil-descent).
  1001.  * As the group order is not a prime this curve is not suitable
  1002.  * for ECDSA.
  1003.  */
  1004. static const EC_CURVE_DATA _EC_IPSEC_155_ID3 = {
  1005. NID_X9_62_characteristic_two_field,
  1006. "0800000000000000000000004000000000000001",
  1007. "0",
  1008. "07338f",
  1009. "7b",
  1010. "1c8",
  1011. "2AAAAAAAAAAAAAAAAAAC7F3C7881BD0868FA86C",3,
  1012. NULL, 0,
  1013. "ntIPSec/IKE/Oakley curve #3 over a 155 bit binary field.n"
  1014. "tNot suitable for ECDSA.ntQuestionable extension field!"
  1015. };
  1017. /* NOTE: The of curves over a extension field of non prime degree
  1018.  * is not recommended (Weil-descent).
  1019.  * As the group order is not a prime this curve is not suitable
  1020.  * for ECDSA.
  1021.  */
  1022. static const EC_CURVE_DATA _EC_IPSEC_185_ID4 = {
  1023. NID_X9_62_characteristic_two_field,
  1024. "020000000000000000000000000000200000000000000001",
  1025. "0",
  1026. "1ee9",
  1027. "18",
  1028. "0d",
  1029. "FFFFFFFFFFFFFFFFFFFFFFEDF97C44DB9F2420BAFCA75E",2,
  1030. NULL, 0,
  1031. "ntIPSec/IKE/Oakley curve #4 over a 185 bit binary field.n"
  1032. "tNot suitable for ECDSA.ntQuestionable extension field!"
  1033. };
  1035. typedef struct _ec_list_element_st {
  1036. int nid;
  1037. const EC_CURVE_DATA *data;
  1038. } ec_list_element;
  1040. static const ec_list_element curve_list[] = {
  1041. /* prime field curves */
  1042. /* secg curves */
  1043. { NID_secp112r1, &_EC_SECG_PRIME_112R1},
  1044. { NID_secp112r2, &_EC_SECG_PRIME_112R2},
  1045. { NID_secp128r1, &_EC_SECG_PRIME_128R1},
  1046. { NID_secp128r2, &_EC_SECG_PRIME_128R2},
  1047. { NID_secp160k1, &_EC_SECG_PRIME_160K1},
  1048. { NID_secp160r1, &_EC_SECG_PRIME_160R1},
  1049. { NID_secp160r2, &_EC_SECG_PRIME_160R2},
  1050. /* SECG secp192r1 is the same as X9.62 prime192v1 and hence omitted */
  1051. { NID_secp192k1, &_EC_SECG_PRIME_192K1},
  1052. { NID_secp224k1, &_EC_SECG_PRIME_224K1},
  1053. { NID_secp224r1, &_EC_NIST_PRIME_224},
  1054. { NID_secp256k1, &_EC_SECG_PRIME_256K1},
  1055. /* SECG secp256r1 is the same as X9.62 prime256v1 and hence omitted */
  1056. { NID_secp384r1, &_EC_NIST_PRIME_384},
  1057. { NID_secp521r1, &_EC_NIST_PRIME_521},
  1058. /* X9.62 curves */
  1059. { NID_X9_62_prime192v1, &_EC_NIST_PRIME_192},
  1060. { NID_X9_62_prime192v2, &_EC_X9_62_PRIME_192V2},
  1061. { NID_X9_62_prime192v3, &_EC_X9_62_PRIME_192V3},
  1062. { NID_X9_62_prime239v1, &_EC_X9_62_PRIME_239V1},
  1063. { NID_X9_62_prime239v2, &_EC_X9_62_PRIME_239V2},
  1064. { NID_X9_62_prime239v3, &_EC_X9_62_PRIME_239V3},
  1065. { NID_X9_62_prime256v1, &_EC_X9_62_PRIME_256V1},
  1066. /* characteristic two field curves */
  1067. /* NIST/SECG curves */
  1068. { NID_sect113r1, &_EC_SECG_CHAR2_113R1},
  1069. { NID_sect113r2, &_EC_SECG_CHAR2_113R2},
  1070. { NID_sect131r1, &_EC_SECG_CHAR2_131R1},
  1071. { NID_sect131r2, &_EC_SECG_CHAR2_131R2},
  1072. { NID_sect163k1, &_EC_NIST_CHAR2_163K },
  1073. { NID_sect163r1, &_EC_SECG_CHAR2_163R1},
  1074. { NID_sect163r2, &_EC_NIST_CHAR2_163B },
  1075. { NID_sect193r1, &_EC_SECG_CHAR2_193R1},
  1076. { NID_sect193r2, &_EC_SECG_CHAR2_193R2},
  1077. { NID_sect233k1, &_EC_NIST_CHAR2_233K },
  1078. { NID_sect233r1, &_EC_NIST_CHAR2_233B },
  1079. { NID_sect239k1, &_EC_SECG_CHAR2_239K1},
  1080. { NID_sect283k1, &_EC_NIST_CHAR2_283K },
  1081. { NID_sect283r1, &_EC_NIST_CHAR2_283B },
  1082. { NID_sect409k1, &_EC_NIST_CHAR2_409K },
  1083. { NID_sect409r1, &_EC_NIST_CHAR2_409B },
  1084. { NID_sect571k1, &_EC_NIST_CHAR2_571K },
  1085. { NID_sect571r1, &_EC_NIST_CHAR2_571B },
  1086. /* X9.62 curves */
  1087. { NID_X9_62_c2pnb163v1, &_EC_X9_62_CHAR2_163V1},
  1088. { NID_X9_62_c2pnb163v2, &_EC_X9_62_CHAR2_163V2},
  1089. { NID_X9_62_c2pnb163v3, &_EC_X9_62_CHAR2_163V3},
  1090. { NID_X9_62_c2pnb176v1, &_EC_X9_62_CHAR2_176V1},
  1091. { NID_X9_62_c2tnb191v1, &_EC_X9_62_CHAR2_191V1},
  1092. { NID_X9_62_c2tnb191v2, &_EC_X9_62_CHAR2_191V2},
  1093. { NID_X9_62_c2tnb191v3, &_EC_X9_62_CHAR2_191V3},
  1094. { NID_X9_62_c2pnb208w1, &_EC_X9_62_CHAR2_208W1},
  1095. { NID_X9_62_c2tnb239v1, &_EC_X9_62_CHAR2_239V1},
  1096. { NID_X9_62_c2tnb239v2, &_EC_X9_62_CHAR2_239V2},
  1097. { NID_X9_62_c2tnb239v3, &_EC_X9_62_CHAR2_239V3},
  1098. { NID_X9_62_c2pnb272w1, &_EC_X9_62_CHAR2_272W1},
  1099. { NID_X9_62_c2pnb304w1, &_EC_X9_62_CHAR2_304W1},
  1100. { NID_X9_62_c2tnb359v1, &_EC_X9_62_CHAR2_359V1},
  1101. { NID_X9_62_c2pnb368w1, &_EC_X9_62_CHAR2_368W1},
  1102. { NID_X9_62_c2tnb431r1, &_EC_X9_62_CHAR2_431R1},
  1103. /* the WAP/WTLS curves
  1104.  * [unlike SECG, spec has its own OIDs for curves from X9.62] */
  1105. { NID_wap_wsg_idm_ecid_wtls1, &_EC_WTLS_1},
  1106. { NID_wap_wsg_idm_ecid_wtls3, &_EC_NIST_CHAR2_163K},
  1107. { NID_wap_wsg_idm_ecid_wtls4, &_EC_SECG_CHAR2_113R1},
  1108. { NID_wap_wsg_idm_ecid_wtls5, &_EC_X9_62_CHAR2_163V1},
  1109. { NID_wap_wsg_idm_ecid_wtls6, &_EC_SECG_PRIME_112R1},
  1110. { NID_wap_wsg_idm_ecid_wtls7, &_EC_SECG_PRIME_160R2},
  1111. { NID_wap_wsg_idm_ecid_wtls8, &_EC_WTLS_8},
  1112. { NID_wap_wsg_idm_ecid_wtls9, &_EC_WTLS_9 },
  1113. { NID_wap_wsg_idm_ecid_wtls10, &_EC_NIST_CHAR2_233K},
  1114. { NID_wap_wsg_idm_ecid_wtls11, &_EC_NIST_CHAR2_233B},
  1115. { NID_wap_wsg_idm_ecid_wtls12, &_EC_WTLS_12},
  1116. /* IPSec curves */
  1117. { NID_ipsec3, &_EC_IPSEC_155_ID3},
  1118. { NID_ipsec4, &_EC_IPSEC_185_ID4},
  1119. };
  1121. static size_t curve_list_length = sizeof(curve_list)/sizeof(ec_list_element);
  1123. static EC_GROUP *ec_group_new_from_data(const EC_CURVE_DATA *data)
  1124. {
  1125. EC_GROUP *group=NULL;
  1126. EC_POINT *P=NULL;
  1127. BN_CTX  *ctx=NULL;
  1128. BIGNUM   *p=NULL, *a=NULL, *b=NULL, *x=NULL, *y=NULL, *order=NULL;
  1129. int  ok=0;
  1131. if ((ctx = BN_CTX_new()) == NULL)
  1132. {
  1133. ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_MALLOC_FAILURE);
  1134. goto err;
  1135. }
  1136. if ((p = BN_new()) == NULL || (a = BN_new()) == NULL || 
  1137. (b = BN_new()) == NULL || (x = BN_new()) == NULL ||
  1138. (y = BN_new()) == NULL || (order = BN_new()) == NULL)
  1139. {
  1140. ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_MALLOC_FAILURE);
  1141. goto err;
  1142. }
  1144. if (!BN_hex2bn(&p, data->p) || !BN_hex2bn(&a, data->a)
  1145. || !BN_hex2bn(&b, data->b))
  1146. {
  1147. ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_BN_LIB);
  1148. goto err;
  1149. }
  1151. if (data->field_type == NID_X9_62_prime_field)
  1152. {
  1153. if ((group = EC_GROUP_new_curve_GFp(p, a, b, ctx)) == NULL)
  1154. {
  1155. ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_EC_LIB);
  1156. goto err;
  1157. }
  1158. }
  1159. else
  1160. { /* field_type == NID_X9_62_characteristic_two_field */
  1161. if ((group = EC_GROUP_new_curve_GF2m(p, a, b, ctx)) == NULL)
  1162. {
  1163. ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_EC_LIB);
  1164. goto err;
  1165. }
  1166. }
  1168. if ((P = EC_POINT_new(group)) == NULL)
  1169. {
  1170. ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_EC_LIB);
  1171. goto err;
  1172. }
  1174. if (!BN_hex2bn(&x, data->x) || !BN_hex2bn(&y, data->y))
  1175. {
  1176. ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_BN_LIB);
  1177. goto err;
  1178. }
  1179. if (!EC_POINT_set_affine_coordinates_GF2m(group, P, x, y, ctx))
  1180. {
  1181. ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_EC_LIB);
  1182. goto err;
  1183. }
  1184. if (!BN_hex2bn(&order, data->order) || !BN_set_word(x, data->cofactor))
  1185. {
  1186. ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_BN_LIB);
  1187. goto err;
  1188. }
  1189. if (!EC_GROUP_set_generator(group, P, order, x))
  1190. {
  1191. ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_EC_LIB);
  1192. goto err;
  1193. }
  1194. if (data->seed)
  1195. {
  1196. if (!EC_GROUP_set_seed(group, data->seed, data->seed_len))
  1197. {
  1198. ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_EC_LIB);
  1199. goto err;
  1200. }
  1201. }
  1202. ok=1;
  1203. err:
  1204. if (!ok)
  1205. {
  1206. EC_GROUP_free(group);
  1207. group = NULL;
  1208. }
  1209. if (P)
  1210. EC_POINT_free(P);
  1211. if (ctx)
  1212. BN_CTX_free(ctx);
  1213. if (p)
  1214. BN_free(p);
  1215. if (a)
  1216. BN_free(a);
  1217. if (b)
  1218. BN_free(b);
  1219. if (order)
  1220. BN_free(order);
  1221. if (x)
  1222. BN_free(x);
  1223. if (y)
  1224. BN_free(y);
  1225. return group;
  1226. }
  1228. EC_GROUP *EC_GROUP_new_by_curve_name(int nid)
  1229. {
  1230. size_t i;
  1231. EC_GROUP *ret = NULL;
  1233. if (nid <= 0)
  1234. return NULL;
  1236. for (i=0; i<curve_list_length; i++)
  1237. if (curve_list[i].nid == nid)
  1238. {
  1239. ret = ec_group_new_from_data(curve_list[i].data);
  1240. break;
  1241. }
  1243. if (ret == NULL)
  1244. {
  1245. ECerr(EC_F_EC_GROUP_NEW_BY_CURVE_NAME, EC_R_UNKNOWN_GROUP);
  1246. return NULL;
  1247. }
  1249. EC_GROUP_set_curve_name(ret, nid);
  1251. return ret;
  1252. }
  1254. size_t EC_get_builtin_curves(EC_builtin_curve *r, size_t nitems)
  1255. {
  1256. size_t i, min;
  1258. if (r == NULL || nitems == 0)
  1259. return curve_list_length;
  1261. min = nitems < curve_list_length ? nitems : curve_list_length;
  1263. for (i = 0; i < min; i++)
  1264. {
  1265. r[i].nid = curve_list[i].nid;
  1266. r[i].comment = curve_list[i].data->comment;
  1267. }
  1269. return curve_list_length;
  1270. }