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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 */
71
72#include "ec_lcl.h"
73#include <openssl/err.h>
74#include <openssl/obj_mac.h>
75
76typedef 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;
91
92/* the nist prime curves */
93static 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};
96static 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 };
107
108static 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};
111static 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 };
122
123static 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};
126static 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 };
143
144static 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};
147static 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) */
165static 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};
168static 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 };
179
180static 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};
183static 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 };
194
195static 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};
198static 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 };
209
210static 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};
213static 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 };
224
225static 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};
228static 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 };
239
240static 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};
243static 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) */
255static 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};
258static 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 };
269
270static 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};
273static 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 };
284
285static 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};
288static 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 };
299
300static 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};
303static 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 };
314
315static 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 };
326
327static 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};
330static 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 };
341
342static 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};
345static 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 };
356
357static 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 };
368
369static 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 };
380
381static 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 };
392
393/* some wap/wtls curves */
394static 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 };
405
406static 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 };
417
418static 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 };
429
430/* characteristic two curves */
431static 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};
434static 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 };
445
446static 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};
449static 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 };
460
461static 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};
464static 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 };
475
476static 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};
479static 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 };
490
491static 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 };
502
503static 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};
506static 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 };
525
526static 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};
529static 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 };
547
548static 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};
551static 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 };
562
563static 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};
566static 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 };
577
578static 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 };
589
590static 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};
593static 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 };
604
605static 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 };
616
617static 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 };
632
633static 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};
636static 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 };
653
654static 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 };
669
670static 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};
673static 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 };
690
691static 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 };
710
711static 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};
714static 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 };
737
738static 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};
741static 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 };
752
753static 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};
756static 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 };
767
768static 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};
771static 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 };
782
783static 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 };
794
795static 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};
798static 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 };
809
810static 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};
813static 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 };
824
825static 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};
828static 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 };
839
840static 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 };
851
852static 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};
855static 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 };
866
867static 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};
870static 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 };
881
882static 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};
885static 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 };
896
897static 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 };
910
911static 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 };
928
929static 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};
932static 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 };
949
950static 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 };
967
968static 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 };
985
986static 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 };
997
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 */
1004static 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 "\n\tIPSec/IKE/Oakley curve #3 over a 155 bit binary field.\n"
1014 "\tNot suitable for ECDSA.\n\tQuestionable extension field!"
1015 };
1016
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 */
1022static 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 "\n\tIPSec/IKE/Oakley curve #4 over a 185 bit binary field.\n"
1032 "\tNot suitable for ECDSA.\n\tQuestionable extension field!"
1033 };
1034
1035typedef struct _ec_list_element_st {
1036 int nid;
1037 const EC_CURVE_DATA *data;
1038 } ec_list_element;
1039
1040static 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};
1120
1121static size_t curve_list_length = sizeof(curve_list)/sizeof(ec_list_element);
1122
1123static 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;
1130
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 }
1143
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 }
1150
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 }
1167
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 }
1173
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;
1203err:
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 }
1227
1228EC_GROUP *EC_GROUP_new_by_curve_name(int nid)
1229 {
1230 size_t i;
1231 EC_GROUP *ret = NULL;
1232
1233 if (nid <= 0)
1234 return NULL;
1235
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 }
1242
1243 if (ret == NULL)
1244 {
1245 ECerr(EC_F_EC_GROUP_NEW_BY_CURVE_NAME, EC_R_UNKNOWN_GROUP);
1246 return NULL;
1247 }
1248
1249 EC_GROUP_set_curve_name(ret, nid);
1250
1251 return ret;
1252 }
1253
1254size_t EC_get_builtin_curves(EC_builtin_curve *r, size_t nitems)
1255 {
1256 size_t i, min;
1257
1258 if (r == NULL || nitems == 0)
1259 return curve_list_length;
1260
1261 min = nitems < curve_list_length ? nitems : curve_list_length;
1262
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 }
1268
1269 return curve_list_length;
1270 }
generated by cgit v1.2.3-55-g6feb (git 2.39.1) at 2025-04-04 23:49:46 +0000