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945e15a2 | 1 | /* crypto/ec/ec_curve.c */ |
7eb18f12 BM |
2 | /* |
3 | * Written by Nils Larsch for the OpenSSL project. | |
4 | */ | |
945e15a2 | 5 | /* ==================================================================== |
ace3ebd6 | 6 | * Copyright (c) 1998-2004 The OpenSSL Project. All rights reserved. |
945e15a2 BM |
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 | */ | |
7793f30e BM |
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 | * | |
7793f30e BM |
67 | * The elliptic curve binary polynomial software is originally written by |
68 | * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories. | |
69 | * | |
70 | */ | |
945e15a2 BM |
71 | |
72 | #include "ec_lcl.h" | |
73 | #include <openssl/err.h> | |
74 | #include <openssl/obj_mac.h> | |
945e15a2 | 75 | |
7eb18f12 BM |
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; | |
51487109 | 89 | const char *comment; /* a short description of the curve */ |
7eb18f12 BM |
90 | } EC_CURVE_DATA; |
91 | ||
9bc44854 | 92 | /* the nist prime curves */ |
7eb18f12 BM |
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, | |
ace3ebd6 | 105 | "NIST/X9.62/SECG curve over a 192 bit prime field" |
7eb18f12 BM |
106 | }; |
107 | ||
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, | |
ace3ebd6 | 120 | "NIST/SECG curve over a 224 bit prime field" |
7eb18f12 BM |
121 | }; |
122 | ||
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, | |
ace3ebd6 | 141 | "NIST/SECG curve over a 384 bit prime field" |
7eb18f12 BM |
142 | }; |
143 | ||
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, | |
ace3ebd6 | 162 | "NIST/SECG curve over a 521 bit prime field" |
7eb18f12 | 163 | }; |
709c51c4 | 164 | /* the x9.62 prime curves (minus the nist prime curves) */ |
7eb18f12 BM |
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, | |
ace3ebd6 | 177 | "X9.62 curve over a 192 bit prime field" |
7eb18f12 BM |
178 | }; |
179 | ||
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, | |
ace3ebd6 | 192 | "X9.62 curve over a 192 bit prime field" |
7eb18f12 BM |
193 | }; |
194 | ||
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, | |
ace3ebd6 | 207 | "X9.62 curve over a 239 bit prime field" |
7eb18f12 BM |
208 | }; |
209 | ||
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, | |
ace3ebd6 | 222 | "X9.62 curve over a 239 bit prime field" |
7eb18f12 BM |
223 | }; |
224 | ||
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, | |
ace3ebd6 | 237 | "X9.62 curve over a 239 bit prime field" |
7eb18f12 BM |
238 | }; |
239 | ||
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, | |
ace3ebd6 | 252 | "X9.62/SECG curve over a 256 bit prime field" |
7eb18f12 | 253 | }; |
709c51c4 | 254 | /* the secg prime curves (minus the nist and x9.62 prime curves) */ |
7eb18f12 BM |
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, | |
ace3ebd6 | 267 | "SECG/WTLS curve over a 112 bit prime field" |
7eb18f12 BM |
268 | }; |
269 | ||
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, | |
ace3ebd6 | 282 | "SECG curve over a 112 bit prime field" |
7eb18f12 BM |
283 | }; |
284 | ||
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, | |
ace3ebd6 | 297 | "SECG curve over a 128 bit prime field" |
7eb18f12 BM |
298 | }; |
299 | ||
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, | |
ace3ebd6 | 312 | "SECG curve over a 128 bit prime field" |
7eb18f12 BM |
313 | }; |
314 | ||
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, | |
ace3ebd6 | 324 | "SECG curve over a 160 bit prime field" |
7eb18f12 BM |
325 | }; |
326 | ||
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, | |
ace3ebd6 | 339 | "SECG curve over a 160 bit prime field" |
7eb18f12 BM |
340 | }; |
341 | ||
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, | |
ace3ebd6 | 354 | "SECG/WTLS curve over a 160 bit prime field" |
7eb18f12 BM |
355 | }; |
356 | ||
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, | |
ace3ebd6 | 366 | "SECG curve over a 192 bit prime field" |
7eb18f12 BM |
367 | }; |
368 | ||
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, | |
ace3ebd6 | 378 | "SECG curve over a 224 bit prime field" |
7eb18f12 BM |
379 | }; |
380 | ||
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, | |
ace3ebd6 | 390 | "SECG curve over a 256 bit prime field" |
7eb18f12 BM |
391 | }; |
392 | ||
af28dd6c | 393 | /* some wap/wtls curves */ |
7eb18f12 BM |
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, | |
ace3ebd6 | 403 | "WTLS curve over a 112 bit prime field" |
7eb18f12 | 404 | }; |
945e15a2 | 405 | |
7eb18f12 BM |
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, | |
ace3ebd6 | 415 | "WTLS curve over a 160 bit prime field" |
7eb18f12 | 416 | }; |
945e15a2 | 417 | |
7eb18f12 BM |
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, | |
ace3ebd6 | 427 | "WTLS curvs over a 224 bit prime field" |
7eb18f12 BM |
428 | }; |
429 | ||
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, | |
ace3ebd6 | 443 | "SECG curve over a 113 bit binary field" |
7eb18f12 BM |
444 | }; |
445 | ||
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, | |
ace3ebd6 | 458 | "SECG curve over a 113 bit binary field" |
7eb18f12 BM |
459 | }; |
460 | ||
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, | |
ace3ebd6 | 473 | "SECG/WTLS curve over a 131 bit binary field" |
7eb18f12 BM |
474 | }; |
475 | ||
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, | |
ace3ebd6 | 488 | "SECG curve over a 131 bit binary field" |
7eb18f12 BM |
489 | }; |
490 | ||
ace3ebd6 | 491 | static const EC_CURVE_DATA _EC_NIST_CHAR2_163K = { |
7eb18f12 BM |
492 | NID_X9_62_characteristic_two_field, |
493 | "0800000000000000000000000000000000000000C9", | |
494 | "1", | |
495 | "1", | |
496 | "02FE13C0537BBC11ACAA07D793DE4E6D5E5C94EEE8", | |
497 | "0289070FB05D38FF58321F2E800536D538CCDAA3D9", | |
498 | "04000000000000000000020108A2E0CC0D99F8A5EF", 2, | |
499 | NULL, 0, | |
ace3ebd6 | 500 | "NIST/SECG/WTLS curve over a 163 bit binary field" |
7eb18f12 BM |
501 | }; |
502 | ||
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, | |
51487109 GT |
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 | |
7eb18f12 | 519 | _EC_SECG_CHAR2_163R1_SEED, 20, |
51487109 GT |
520 | #else |
521 | NULL, 0, | |
522 | #endif | |
ace3ebd6 | 523 | "SECG curve over a 163 bit binary field" |
7eb18f12 BM |
524 | }; |
525 | ||
ace3ebd6 | 526 | static const unsigned char _EC_NIST_CHAR2_163B_SEED[] = { |
7eb18f12 BM |
527 | 0x85,0xE2,0x5B,0xFE,0x5C,0x86,0x22,0x6C,0xDB,0x12, |
528 | 0x01,0x6F,0x75,0x53,0xF9,0xD0,0xE6,0x93,0xA2,0x68}; | |
ace3ebd6 | 529 | static const EC_CURVE_DATA _EC_NIST_CHAR2_163B ={ |
7eb18f12 BM |
530 | NID_X9_62_characteristic_two_field, |
531 | "0800000000000000000000000000000000000000C9", | |
532 | "1", | |
533 | "020A601907B8C953CA1481EB10512F78744A3205FD", | |
534 | "03F0EBA16286A2D57EA0991168D4994637E8343E36", | |
535 | "00D51FBC6C71A0094FA2CDD545B11C5C0C797324F1", | |
536 | "040000000000000000000292FE77E70C12A4234C33", 2, | |
51487109 GT |
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 | |
ace3ebd6 | 541 | _EC_NIST_CHAR2_163B_SEED, 20, |
51487109 GT |
542 | #else |
543 | NULL, 0, | |
544 | #endif | |
ace3ebd6 | 545 | "NIST/SECG curve over a 163 bit binary field" |
7eb18f12 BM |
546 | }; |
547 | ||
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, | |
ace3ebd6 | 560 | "SECG curve over a 193 bit binary field" |
7eb18f12 BM |
561 | }; |
562 | ||
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, | |
ace3ebd6 | 575 | "SECG curve over a 193 bit binary field" |
7eb18f12 BM |
576 | }; |
577 | ||
ace3ebd6 | 578 | static const EC_CURVE_DATA _EC_NIST_CHAR2_233K = { |
7eb18f12 BM |
579 | NID_X9_62_characteristic_two_field, |
580 | "020000000000000000000000000000000000000004000000000000000001", | |
581 | "0", | |
582 | "1", | |
583 | "017232BA853A7E731AF129F22FF4149563A419C26BF50A4C9D6EEFAD6126", | |
584 | "01DB537DECE819B7F70F555A67C427A8CD9BF18AEB9B56E0C11056FAE6A3", | |
585 | "008000000000000000000000000000069D5BB915BCD46EFB1AD5F173ABDF", 4, | |
586 | NULL, 0, | |
ace3ebd6 | 587 | "NIST/SECG/WTLS curve over a 233 bit binary field" |
7eb18f12 BM |
588 | }; |
589 | ||
ace3ebd6 | 590 | static const unsigned char _EC_NIST_CHAR2_233B_SEED[] = { |
7eb18f12 BM |
591 | 0x74,0xD5,0x9F,0xF0,0x7F,0x6B,0x41,0x3D,0x0E,0xA1, |
592 | 0x4B,0x34,0x4B,0x20,0xA2,0xDB,0x04,0x9B,0x50,0xC3}; | |
ace3ebd6 | 593 | static const EC_CURVE_DATA _EC_NIST_CHAR2_233B = { |
7eb18f12 BM |
594 | NID_X9_62_characteristic_two_field, |
595 | "020000000000000000000000000000000000000004000000000000000001", | |
596 | "000000000000000000000000000000000000000000000000000000000001", | |
597 | "0066647EDE6C332C7F8C0923BB58213B333B20E9CE4281FE115F7D8F90AD", | |
598 | "00FAC9DFCBAC8313BB2139F1BB755FEF65BC391F8B36F8F8EB7371FD558B", | |
599 | "01006A08A41903350678E58528BEBF8A0BEFF867A7CA36716F7E01F81052", | |
600 | "01000000000000000000000000000013E974E72F8A6922031D2603CFE0D7", 2, | |
ace3ebd6 GT |
601 | _EC_NIST_CHAR2_233B_SEED, 20, |
602 | "NIST/SECG/WTLS curve over a 233 bit binary field" | |
7eb18f12 BM |
603 | }; |
604 | ||
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, | |
ace3ebd6 | 614 | "SECG curve over a 239 bit binary field" |
7eb18f12 BM |
615 | }; |
616 | ||
ace3ebd6 | 617 | static const EC_CURVE_DATA _EC_NIST_CHAR2_283K = { |
7eb18f12 BM |
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, | |
ace3ebd6 | 630 | "NIST/SECG curve over a 283 bit binary field" |
7eb18f12 BM |
631 | }; |
632 | ||
ace3ebd6 | 633 | static const unsigned char _EC_NIST_CHAR2_283B_SEED[] = { |
7eb18f12 BM |
634 | 0x77,0xE2,0xB0,0x73,0x70,0xEB,0x0F,0x83,0x2A,0x6D, |
635 | 0xD5,0xB6,0x2D,0xFC,0x88,0xCD,0x06,0xBB,0x84,0xBE}; | |
ace3ebd6 | 636 | static const EC_CURVE_DATA _EC_NIST_CHAR2_283B = { |
7eb18f12 BM |
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, | |
ace3ebd6 GT |
650 | _EC_NIST_CHAR2_283B_SEED, 20, |
651 | "NIST/SECG curve over a 283 bit binary field" | |
7eb18f12 BM |
652 | }; |
653 | ||
ace3ebd6 | 654 | static const EC_CURVE_DATA _EC_NIST_CHAR2_409K = { |
7eb18f12 BM |
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, | |
ace3ebd6 | 667 | "NIST/SECG curve over a 409 bit binary field" |
7eb18f12 BM |
668 | }; |
669 | ||
ace3ebd6 | 670 | static const unsigned char _EC_NIST_CHAR2_409B_SEED[] = { |
7eb18f12 BM |
671 | 0x40,0x99,0xB5,0xA4,0x57,0xF9,0xD6,0x9F,0x79,0x21, |
672 | 0x3D,0x09,0x4C,0x4B,0xCD,0x4D,0x42,0x62,0x21,0x0B}; | |
ace3ebd6 | 673 | static const EC_CURVE_DATA _EC_NIST_CHAR2_409B = { |
7eb18f12 BM |
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, | |
ace3ebd6 GT |
687 | _EC_NIST_CHAR2_409B_SEED, 20, |
688 | "NIST/SECG curve over a 409 bit binary field" | |
7eb18f12 BM |
689 | }; |
690 | ||
ace3ebd6 | 691 | static const EC_CURVE_DATA _EC_NIST_CHAR2_571K = { |
7eb18f12 BM |
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, | |
ace3ebd6 | 708 | "NIST/SECG curve over a 571 bit binary field" |
7eb18f12 BM |
709 | }; |
710 | ||
ace3ebd6 | 711 | static const unsigned char _EC_NIST_CHAR2_571B_SEED[] = { |
7eb18f12 BM |
712 | 0x2A,0xA0,0x58,0xF7,0x3A,0x0E,0x33,0xAB,0x48,0x6B, |
713 | 0x0F,0x61,0x04,0x10,0xC5,0x3A,0x7F,0x13,0x23,0x10}; | |
ace3ebd6 | 714 | static const EC_CURVE_DATA _EC_NIST_CHAR2_571B = { |
7eb18f12 BM |
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, | |
ace3ebd6 GT |
734 | _EC_NIST_CHAR2_571B_SEED, 20, |
735 | "NIST/SECG curve over a 571 bit binary field" | |
7eb18f12 BM |
736 | }; |
737 | ||
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, | |
97a06ad9 | 743 | "080000000000000000000000000000000000000107", |
7eb18f12 BM |
744 | "072546B5435234A422E0789675F432C89435DE5242", |
745 | "00C9517D06D5240D3CFF38C74B20B6CD4D6F9DD4D9", | |
746 | "07AF69989546103D79329FCC3D74880F33BBE803CB", | |
97a06ad9 | 747 | "01EC23211B5966ADEA1D3F87F7EA5848AEF0B7CA9F", |
7eb18f12 BM |
748 | "0400000000000000000001E60FC8821CC74DAEAFC1", 2, |
749 | _EC_X9_62_CHAR2_163V1_SEED, 20, | |
ace3ebd6 | 750 | "X9.62 curve over a 163 bit binary field" |
7eb18f12 BM |
751 | }; |
752 | ||
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, | |
97a06ad9 | 758 | "080000000000000000000000000000000000000107", |
7eb18f12 BM |
759 | "0108B39E77C4B108BED981ED0E890E117C511CF072", |
760 | "0667ACEB38AF4E488C407433FFAE4F1C811638DF20", | |
761 | "0024266E4EB5106D0A964D92C4860E2671DB9B6CC5", | |
97a06ad9 | 762 | "079F684DDF6684C5CD258B3890021B2386DFD19FC5", |
7eb18f12 BM |
763 | "03FFFFFFFFFFFFFFFFFFFDF64DE1151ADBB78F10A7", 2, |
764 | _EC_X9_62_CHAR2_163V2_SEED, 20, | |
ace3ebd6 | 765 | "X9.62 curve over a 163 bit binary field" |
7eb18f12 BM |
766 | }; |
767 | ||
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, | |
97a06ad9 | 773 | "080000000000000000000000000000000000000107", |
7eb18f12 BM |
774 | "07A526C63D3E25A256A007699F5447E32AE456B50E", |
775 | "03F7061798EB99E238FD6F1BF95B48FEEB4854252B", | |
776 | "02F9F87B7C574D0BDECF8A22E6524775F98CDEBDCB", | |
97a06ad9 | 777 | "05B935590C155E17EA48EB3FF3718B893DF59A05D0", |
7eb18f12 BM |
778 | "03FFFFFFFFFFFFFFFFFFFE1AEE140F110AFF961309", 2, |
779 | _EC_X9_62_CHAR2_163V3_SEED, 20, | |
ace3ebd6 | 780 | "X9.62 curve over a 163 bit binary field" |
7eb18f12 BM |
781 | }; |
782 | ||
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, | |
ace3ebd6 | 792 | "X9.62 curve over a 176 bit binary field" |
7eb18f12 BM |
793 | }; |
794 | ||
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, | |
ace3ebd6 | 807 | "X9.62 curve over a 191 bit binary field" |
7eb18f12 BM |
808 | }; |
809 | ||
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, | |
ace3ebd6 | 822 | "X9.62 curve over a 191 bit binary field" |
7eb18f12 | 823 | }; |
945e15a2 | 824 | |
7eb18f12 BM |
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, | |
ace3ebd6 | 837 | "X9.62 curve over a 191 bit binary field" |
7eb18f12 BM |
838 | }; |
839 | ||
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, | |
ace3ebd6 | 849 | "X9.62 curve over a 208 bit binary field" |
7eb18f12 BM |
850 | }; |
851 | ||
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, | |
ace3ebd6 | 864 | "X9.62 curve over a 239 bit binary field" |
7eb18f12 BM |
865 | }; |
866 | ||
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, | |
ace3ebd6 | 879 | "X9.62 curve over a 239 bit binary field" |
7eb18f12 BM |
880 | }; |
881 | ||
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, | |
ace3ebd6 | 894 | "X9.62 curve over a 239 bit binary field" |
7eb18f12 BM |
895 | }; |
896 | ||
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, | |
ace3ebd6 | 908 | "X9.62 curve over a 272 bit binary field" |
7eb18f12 BM |
909 | }; |
910 | ||
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, | |
ace3ebd6 | 926 | "X9.62 curve over a 304 bit binary field" |
7eb18f12 BM |
927 | }; |
928 | ||
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, | |
ace3ebd6 | 947 | "X9.62 curve over a 359 bit binary field" |
7eb18f12 BM |
948 | }; |
949 | ||
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, | |
ace3ebd6 | 965 | "X9.62 curve over a 368 bit binary field" |
7eb18f12 BM |
966 | }; |
967 | ||
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, | |
ace3ebd6 | 983 | "X9.62 curve over a 431 bit binary field" |
7eb18f12 BM |
984 | }; |
985 | ||
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, | |
ace3ebd6 | 995 | "WTLS curve over a 113 bit binary field" |
7eb18f12 BM |
996 | }; |
997 | ||
0d78bc33 | 998 | /* IPSec curves */ |
51487109 GT |
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 | */ | |
0d78bc33 RL |
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, | |
51487109 GT |
1013 | "\n\tIPSec/IKE/Oakley curve #3 over a 155 bit binary field.\n" |
1014 | "\tNot suitable for ECDSA.\n\tQuestionable extension field!" | |
0d78bc33 RL |
1015 | }; |
1016 | ||
51487109 GT |
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 | */ | |
0d78bc33 RL |
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, | |
51487109 GT |
1031 | "\n\tIPSec/IKE/Oakley curve #4 over a 185 bit binary field.\n" |
1032 | "\tNot suitable for ECDSA.\n\tQuestionable extension field!" | |
0d78bc33 RL |
1033 | }; |
1034 | ||
7eb18f12 BM |
1035 | typedef struct _ec_list_element_st { |
1036 | int nid; | |
1037 | const EC_CURVE_DATA *data; | |
1038 | } ec_list_element; | |
1039 | ||
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}, | |
d745af4b | 1050 | /* SECG secp192r1 is the same as X9.62 prime192v1 and hence omitted */ |
7eb18f12 BM |
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}, | |
d745af4b | 1055 | /* SECG secp256r1 is the same as X9.62 prime256v1 and hence omitted */ |
7eb18f12 BM |
1056 | { NID_secp384r1, &_EC_NIST_PRIME_384}, |
1057 | { NID_secp521r1, &_EC_NIST_PRIME_521}, | |
1058 | /* X9.62 curves */ | |
d745af4b | 1059 | { NID_X9_62_prime192v1, &_EC_NIST_PRIME_192}, |
7eb18f12 BM |
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 */ | |
ace3ebd6 | 1067 | /* NIST/SECG curves */ |
7eb18f12 BM |
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}, | |
ace3ebd6 | 1072 | { NID_sect163k1, &_EC_NIST_CHAR2_163K }, |
7eb18f12 | 1073 | { NID_sect163r1, &_EC_SECG_CHAR2_163R1}, |
ace3ebd6 | 1074 | { NID_sect163r2, &_EC_NIST_CHAR2_163B }, |
7eb18f12 BM |
1075 | { NID_sect193r1, &_EC_SECG_CHAR2_193R1}, |
1076 | { NID_sect193r2, &_EC_SECG_CHAR2_193R2}, | |
ace3ebd6 GT |
1077 | { NID_sect233k1, &_EC_NIST_CHAR2_233K }, |
1078 | { NID_sect233r1, &_EC_NIST_CHAR2_233B }, | |
7eb18f12 | 1079 | { NID_sect239k1, &_EC_SECG_CHAR2_239K1}, |
ace3ebd6 GT |
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 }, | |
7eb18f12 BM |
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 | { NID_wap_wsg_idm_ecid_wtls1, &_EC_WTLS_1}, | |
ace3ebd6 | 1105 | { NID_wap_wsg_idm_ecid_wtls3, &_EC_NIST_CHAR2_163K}, |
7eb18f12 BM |
1106 | { NID_wap_wsg_idm_ecid_wtls4, &_EC_SECG_CHAR2_113R1}, |
1107 | { NID_wap_wsg_idm_ecid_wtls5, &_EC_X9_62_CHAR2_163V1}, | |
1108 | { NID_wap_wsg_idm_ecid_wtls6, &_EC_SECG_PRIME_112R1}, | |
1109 | { NID_wap_wsg_idm_ecid_wtls7, &_EC_SECG_PRIME_160R2}, | |
1110 | { NID_wap_wsg_idm_ecid_wtls8, &_EC_WTLS_8}, | |
1111 | { NID_wap_wsg_idm_ecid_wtls9, &_EC_WTLS_9 }, | |
ace3ebd6 GT |
1112 | { NID_wap_wsg_idm_ecid_wtls10, &_EC_NIST_CHAR2_233K}, |
1113 | { NID_wap_wsg_idm_ecid_wtls11, &_EC_NIST_CHAR2_233B}, | |
7eb18f12 | 1114 | { NID_wap_wsg_idm_ecid_wtls12, &_EC_WTLS_12}, |
0d78bc33 RL |
1115 | /* IPSec curves */ |
1116 | { NID_ipsec3, &_EC_IPSEC_155_ID3}, | |
1117 | { NID_ipsec4, &_EC_IPSEC_185_ID4}, | |
7eb18f12 BM |
1118 | }; |
1119 | ||
1120 | static size_t curve_list_length = sizeof(curve_list)/sizeof(ec_list_element); | |
1121 | ||
1122 | static EC_GROUP *ec_group_new_from_data(const EC_CURVE_DATA *data) | |
7793f30e BM |
1123 | { |
1124 | EC_GROUP *group=NULL; | |
1125 | EC_POINT *P=NULL; | |
1126 | BN_CTX *ctx=NULL; | |
7eb18f12 | 1127 | BIGNUM *p=NULL, *a=NULL, *b=NULL, *x=NULL, *y=NULL, *order=NULL; |
7793f30e BM |
1128 | int ok=0; |
1129 | ||
7eb18f12 BM |
1130 | if ((ctx = BN_CTX_new()) == NULL) |
1131 | { | |
1132 | ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_MALLOC_FAILURE); | |
1133 | goto err; | |
1134 | } | |
1135 | if ((p = BN_new()) == NULL || (a = BN_new()) == NULL || | |
1136 | (b = BN_new()) == NULL || (x = BN_new()) == NULL || | |
1137 | (y = BN_new()) == NULL || (order = BN_new()) == NULL) | |
1138 | { | |
1139 | ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_MALLOC_FAILURE); | |
1140 | goto err; | |
1141 | } | |
7793f30e | 1142 | |
7eb18f12 BM |
1143 | if (!BN_hex2bn(&p, data->p) || !BN_hex2bn(&a, data->a) |
1144 | || !BN_hex2bn(&b, data->b)) | |
1145 | { | |
1146 | ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_BN_LIB); | |
1147 | goto err; | |
1148 | } | |
7793f30e | 1149 | |
7eb18f12 BM |
1150 | if (data->field_type == NID_X9_62_prime_field) |
1151 | { | |
1152 | if ((group = EC_GROUP_new_curve_GFp(p, a, b, ctx)) == NULL) | |
1153 | { | |
1154 | ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_EC_LIB); | |
1155 | goto err; | |
1156 | } | |
1157 | } | |
1158 | else | |
1159 | { /* field_type == NID_X9_62_characteristic_two_field */ | |
1160 | if ((group = EC_GROUP_new_curve_GF2m(p, a, b, ctx)) == NULL) | |
1161 | { | |
1162 | ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_EC_LIB); | |
1163 | goto err; | |
1164 | } | |
1165 | } | |
1166 | ||
1167 | if ((P = EC_POINT_new(group)) == NULL) | |
1168 | { | |
1169 | ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_EC_LIB); | |
1170 | goto err; | |
1171 | } | |
7793f30e | 1172 | |
7eb18f12 BM |
1173 | if (!BN_hex2bn(&x, data->x) || !BN_hex2bn(&y, data->y)) |
1174 | { | |
1175 | ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_BN_LIB); | |
1176 | goto err; | |
1177 | } | |
1178 | if (!EC_POINT_set_affine_coordinates_GF2m(group, P, x, y, ctx)) | |
1179 | { | |
1180 | ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_EC_LIB); | |
1181 | goto err; | |
1182 | } | |
1183 | if (!BN_hex2bn(&order, data->order) || !BN_set_word(x, data->cofactor)) | |
1184 | { | |
1185 | ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_BN_LIB); | |
1186 | goto err; | |
1187 | } | |
1188 | if (!EC_GROUP_set_generator(group, P, order, x)) | |
1189 | { | |
1190 | ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_EC_LIB); | |
1191 | goto err; | |
1192 | } | |
1193 | if (data->seed) | |
1194 | { | |
1195 | if (!EC_GROUP_set_seed(group, data->seed, data->seed_len)) | |
1196 | { | |
1197 | ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_EC_LIB); | |
1198 | goto err; | |
1199 | } | |
1200 | } | |
7793f30e | 1201 | ok=1; |
7793f30e BM |
1202 | err: |
1203 | if (!ok) | |
1204 | { | |
1205 | EC_GROUP_free(group); | |
1206 | group = NULL; | |
1207 | } | |
7eb18f12 BM |
1208 | if (P) |
1209 | EC_POINT_free(P); | |
1210 | if (ctx) | |
1211 | BN_CTX_free(ctx); | |
1212 | if (p) | |
1213 | BN_free(p); | |
1214 | if (a) | |
1215 | BN_free(a); | |
1216 | if (b) | |
1217 | BN_free(b); | |
1218 | if (order) | |
1219 | BN_free(order); | |
1220 | if (x) | |
1221 | BN_free(x); | |
1222 | if (y) | |
1223 | BN_free(y); | |
1224 | return group; | |
7793f30e BM |
1225 | } |
1226 | ||
8b15c740 | 1227 | EC_GROUP *EC_GROUP_new_by_curve_name(int nid) |
945e15a2 | 1228 | { |
7eb18f12 | 1229 | size_t i; |
945e15a2 | 1230 | EC_GROUP *ret = NULL; |
7eb18f12 BM |
1231 | |
1232 | if (nid <= 0) | |
945e15a2 BM |
1233 | return NULL; |
1234 | ||
7eb18f12 BM |
1235 | for (i=0; i<curve_list_length; i++) |
1236 | if (curve_list[i].nid == nid) | |
1237 | { | |
1238 | ret = ec_group_new_from_data(curve_list[i].data); | |
1239 | break; | |
1240 | } | |
60d8bae3 | 1241 | |
9bc44854 | 1242 | if (ret == NULL) |
60d8bae3 | 1243 | { |
8b15c740 | 1244 | ECerr(EC_F_EC_GROUP_NEW_BY_CURVE_NAME, EC_R_UNKNOWN_GROUP); |
9bc44854 | 1245 | return NULL; |
60d8bae3 | 1246 | } |
7eb18f12 | 1247 | |
7dc17a6c | 1248 | EC_GROUP_set_curve_name(ret, nid); |
7eb18f12 | 1249 | |
9bc44854 | 1250 | return ret; |
60d8bae3 BM |
1251 | } |
1252 | ||
65b1d31d | 1253 | size_t EC_get_builtin_curves(EC_builtin_curve *r, size_t nitems) |
7eb18f12 | 1254 | { |
65b1d31d | 1255 | size_t i, min; |
60d8bae3 | 1256 | |
65b1d31d BM |
1257 | if (r == NULL || nitems == 0) |
1258 | return curve_list_length; | |
7eb18f12 | 1259 | |
65b1d31d BM |
1260 | min = nitems < curve_list_length ? nitems : curve_list_length; |
1261 | ||
1262 | for (i = 0; i < min; i++) | |
1263 | { | |
1264 | r[i].nid = curve_list[i].nid; | |
1265 | r[i].comment = curve_list[i].data->comment; | |
1266 | } | |
1267 | ||
1268 | return curve_list_length; | |
60d8bae3 | 1269 | } |