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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 | |
40720ce3 | 13 | * notice, this list of conditions and the following disclaimer. |
945e15a2 BM |
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 | * | |
40720ce3 | 61 | * Portions of the attached software ("Contribution") are developed by |
7793f30e BM |
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 | * | |
40720ce3 | 67 | * The elliptic curve binary polynomial software is originally written by |
7793f30e BM |
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 | 76 | typedef struct ec_curve_data_st { |
40720ce3 MC |
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 */ | |
7eb18f12 BM |
90 | } EC_CURVE_DATA; |
91 | ||
9bc44854 | 92 | /* the nist prime curves */ |
7eb18f12 | 93 | static const unsigned char _EC_NIST_PRIME_192_SEED[] = { |
40720ce3 MC |
94 | 0x30, 0x45, 0xAE, 0x6F, 0xC8, 0x42, 0x2F, 0x64, 0xED, 0x57, |
95 | 0x95, 0x28, 0xD3, 0x81, 0x20, 0xEA, 0xE1, 0x21, 0x96, 0xD5 | |
96 | }; | |
97 | ||
7eb18f12 | 98 | static const EC_CURVE_DATA _EC_NIST_PRIME_192 = { |
40720ce3 MC |
99 | NID_X9_62_prime_field, |
100 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF", | |
101 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC", | |
102 | "64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1", | |
103 | "188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF1012", | |
104 | "07192b95ffc8da78631011ed6b24cdd573f977a11e794811", | |
105 | "FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831", 1, | |
106 | _EC_NIST_PRIME_192_SEED, 20, | |
107 | "NIST/X9.62/SECG curve over a 192 bit prime field" | |
108 | }; | |
7eb18f12 BM |
109 | |
110 | static const unsigned char _EC_NIST_PRIME_224_SEED[] = { | |
40720ce3 MC |
111 | 0xBD, 0x71, 0x34, 0x47, 0x99, 0xD5, 0xC7, 0xFC, 0xDC, 0x45, |
112 | 0xB5, 0x9F, 0xA3, 0xB9, 0xAB, 0x8F, 0x6A, 0x94, 0x8B, 0xC5 | |
113 | }; | |
114 | ||
7eb18f12 | 115 | static const EC_CURVE_DATA _EC_NIST_PRIME_224 = { |
40720ce3 MC |
116 | NID_X9_62_prime_field, |
117 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001", | |
118 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE", | |
119 | "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4", | |
120 | "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21", | |
121 | "bd376388b5f723fb4c22dfe6cd4375a05a07476444d5819985007e34", | |
122 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D", 1, | |
123 | _EC_NIST_PRIME_224_SEED, 20, | |
124 | "NIST/SECG curve over a 224 bit prime field" | |
125 | }; | |
7eb18f12 BM |
126 | |
127 | static const unsigned char _EC_NIST_PRIME_384_SEED[] = { | |
40720ce3 MC |
128 | 0xA3, 0x35, 0x92, 0x6A, 0xA3, 0x19, 0xA2, 0x7A, 0x1D, 0x00, |
129 | 0x89, 0x6A, 0x67, 0x73, 0xA4, 0x82, 0x7A, 0xCD, 0xAC, 0x73 | |
130 | }; | |
131 | ||
7eb18f12 | 132 | static const EC_CURVE_DATA _EC_NIST_PRIME_384 = { |
40720ce3 MC |
133 | NID_X9_62_prime_field, |
134 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFF" | |
135 | "FFF0000000000000000FFFFFFFF", | |
136 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFF" | |
137 | "FFF0000000000000000FFFFFFFC", | |
138 | "B3312FA7E23EE7E4988E056BE3F82D19181D9C6EFE8141120314088F5013875AC6563" | |
139 | "98D8A2ED19D2A85C8EDD3EC2AEF", | |
140 | "AA87CA22BE8B05378EB1C71EF320AD746E1D3B628BA79B9859F741E082542A385502F" | |
141 | "25DBF55296C3A545E3872760AB7", | |
142 | "3617de4a96262c6f5d9e98bf9292dc29f8f41dbd289a147ce9da3113b5f0b8c00a60b" | |
143 | "1ce1d7e819d7a431d7c90ea0e5f", | |
144 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC7634D81F4372DDF581A0" | |
145 | "DB248B0A77AECEC196ACCC52973", 1, | |
146 | _EC_NIST_PRIME_384_SEED, 20, | |
147 | "NIST/SECG curve over a 384 bit prime field" | |
148 | }; | |
7eb18f12 BM |
149 | |
150 | static const unsigned char _EC_NIST_PRIME_521_SEED[] = { | |
40720ce3 MC |
151 | 0xD0, 0x9E, 0x88, 0x00, 0x29, 0x1C, 0xB8, 0x53, 0x96, 0xCC, |
152 | 0x67, 0x17, 0x39, 0x32, 0x84, 0xAA, 0xA0, 0xDA, 0x64, 0xBA | |
153 | }; | |
154 | ||
7eb18f12 | 155 | static const EC_CURVE_DATA _EC_NIST_PRIME_521 = { |
40720ce3 MC |
156 | NID_X9_62_prime_field, |
157 | "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" | |
158 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", | |
159 | "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" | |
160 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC", | |
161 | "051953EB9618E1C9A1F929A21A0B68540EEA2DA725B99B315F3B8B489918EF109E156" | |
162 | "193951EC7E937B1652C0BD3BB1BF073573DF883D2C34F1EF451FD46B503F00", | |
163 | "C6858E06B70404E9CD9E3ECB662395B4429C648139053FB521F828AF606B4D3DBAA14" | |
164 | "B5E77EFE75928FE1DC127A2FFA8DE3348B3C1856A429BF97E7E31C2E5BD66", | |
165 | "011839296a789a3bc0045c8a5fb42c7d1bd998f54449579b446817afbd17273e662c9" | |
166 | "7ee72995ef42640c550b9013fad0761353c7086a272c24088be94769fd16650", | |
167 | "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFA51" | |
168 | "868783BF2F966B7FCC0148F709A5D03BB5C9B8899C47AEBB6FB71E91386409", 1, | |
169 | _EC_NIST_PRIME_521_SEED, 20, | |
170 | "NIST/SECG curve over a 521 bit prime field" | |
171 | }; | |
172 | ||
709c51c4 | 173 | /* the x9.62 prime curves (minus the nist prime curves) */ |
7eb18f12 | 174 | static const unsigned char _EC_X9_62_PRIME_192V2_SEED[] = { |
40720ce3 MC |
175 | 0x31, 0xA9, 0x2E, 0xE2, 0x02, 0x9F, 0xD1, 0x0D, 0x90, 0x1B, |
176 | 0x11, 0x3E, 0x99, 0x07, 0x10, 0xF0, 0xD2, 0x1A, 0xC6, 0xB6 | |
177 | }; | |
178 | ||
7eb18f12 | 179 | static const EC_CURVE_DATA _EC_X9_62_PRIME_192V2 = { |
40720ce3 MC |
180 | NID_X9_62_prime_field, |
181 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF", | |
182 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC", | |
183 | "CC22D6DFB95C6B25E49C0D6364A4E5980C393AA21668D953", | |
184 | "EEA2BAE7E1497842F2DE7769CFE9C989C072AD696F48034A", | |
185 | "6574d11d69b6ec7a672bb82a083df2f2b0847de970b2de15", | |
186 | "FFFFFFFFFFFFFFFFFFFFFFFE5FB1A724DC80418648D8DD31", 1, | |
187 | _EC_X9_62_PRIME_192V2_SEED, 20, | |
188 | "X9.62 curve over a 192 bit prime field" | |
189 | }; | |
7eb18f12 BM |
190 | |
191 | static const unsigned char _EC_X9_62_PRIME_192V3_SEED[] = { | |
40720ce3 MC |
192 | 0xC4, 0x69, 0x68, 0x44, 0x35, 0xDE, 0xB3, 0x78, 0xC4, 0xB6, |
193 | 0x5C, 0xA9, 0x59, 0x1E, 0x2A, 0x57, 0x63, 0x05, 0x9A, 0x2E | |
194 | }; | |
195 | ||
7eb18f12 | 196 | static const EC_CURVE_DATA _EC_X9_62_PRIME_192V3 = { |
40720ce3 MC |
197 | NID_X9_62_prime_field, |
198 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF", | |
199 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC", | |
200 | "22123DC2395A05CAA7423DAECCC94760A7D462256BD56916", | |
201 | "7D29778100C65A1DA1783716588DCE2B8B4AEE8E228F1896", | |
202 | "38a90f22637337334b49dcb66a6dc8f9978aca7648a943b0", | |
203 | "FFFFFFFFFFFFFFFFFFFFFFFF7A62D031C83F4294F640EC13", 1, | |
204 | _EC_X9_62_PRIME_192V3_SEED, 20, | |
205 | "X9.62 curve over a 192 bit prime field" | |
206 | }; | |
7eb18f12 BM |
207 | |
208 | static const unsigned char _EC_X9_62_PRIME_239V1_SEED[] = { | |
40720ce3 MC |
209 | 0xE4, 0x3B, 0xB4, 0x60, 0xF0, 0xB8, 0x0C, 0xC0, 0xC0, 0xB0, |
210 | 0x75, 0x79, 0x8E, 0x94, 0x80, 0x60, 0xF8, 0x32, 0x1B, 0x7D | |
211 | }; | |
212 | ||
7eb18f12 | 213 | static const EC_CURVE_DATA _EC_X9_62_PRIME_239V1 = { |
40720ce3 MC |
214 | NID_X9_62_prime_field, |
215 | "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFF", | |
216 | "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFC", | |
217 | "6B016C3BDCF18941D0D654921475CA71A9DB2FB27D1D37796185C2942C0A", | |
218 | "0FFA963CDCA8816CCC33B8642BEDF905C3D358573D3F27FBBD3B3CB9AAAF", | |
219 | "7debe8e4e90a5dae6e4054ca530ba04654b36818ce226b39fccb7b02f1ae", | |
220 | "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFF9E5E9A9F5D9071FBD1522688909D0B", 1, | |
221 | _EC_X9_62_PRIME_239V1_SEED, 20, | |
222 | "X9.62 curve over a 239 bit prime field" | |
223 | }; | |
7eb18f12 BM |
224 | |
225 | static const unsigned char _EC_X9_62_PRIME_239V2_SEED[] = { | |
40720ce3 MC |
226 | 0xE8, 0xB4, 0x01, 0x16, 0x04, 0x09, 0x53, 0x03, 0xCA, 0x3B, |
227 | 0x80, 0x99, 0x98, 0x2B, 0xE0, 0x9F, 0xCB, 0x9A, 0xE6, 0x16 | |
228 | }; | |
229 | ||
7eb18f12 | 230 | static const EC_CURVE_DATA _EC_X9_62_PRIME_239V2 = { |
40720ce3 MC |
231 | NID_X9_62_prime_field, |
232 | "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFF", | |
233 | "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFC", | |
234 | "617FAB6832576CBBFED50D99F0249C3FEE58B94BA0038C7AE84C8C832F2C", | |
235 | "38AF09D98727705120C921BB5E9E26296A3CDCF2F35757A0EAFD87B830E7", | |
236 | "5b0125e4dbea0ec7206da0fc01d9b081329fb555de6ef460237dff8be4ba", | |
237 | "7FFFFFFFFFFFFFFFFFFFFFFF800000CFA7E8594377D414C03821BC582063", 1, | |
238 | _EC_X9_62_PRIME_239V2_SEED, 20, | |
239 | "X9.62 curve over a 239 bit prime field" | |
240 | }; | |
7eb18f12 BM |
241 | |
242 | static const unsigned char _EC_X9_62_PRIME_239V3_SEED[] = { | |
40720ce3 MC |
243 | 0x7D, 0x73, 0x74, 0x16, 0x8F, 0xFE, 0x34, 0x71, 0xB6, 0x0A, |
244 | 0x85, 0x76, 0x86, 0xA1, 0x94, 0x75, 0xD3, 0xBF, 0xA2, 0xFF | |
245 | }; | |
246 | ||
7eb18f12 | 247 | static const EC_CURVE_DATA _EC_X9_62_PRIME_239V3 = { |
40720ce3 MC |
248 | NID_X9_62_prime_field, |
249 | "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFF", | |
250 | "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFC", | |
251 | "255705FA2A306654B1F4CB03D6A750A30C250102D4988717D9BA15AB6D3E", | |
252 | "6768AE8E18BB92CFCF005C949AA2C6D94853D0E660BBF854B1C9505FE95A", | |
253 | "1607e6898f390c06bc1d552bad226f3b6fcfe48b6e818499af18e3ed6cf3", | |
254 | "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFF975DEB41B3A6057C3C432146526551", 1, | |
255 | _EC_X9_62_PRIME_239V3_SEED, 20, | |
256 | "X9.62 curve over a 239 bit prime field" | |
257 | }; | |
7eb18f12 BM |
258 | |
259 | static const unsigned char _EC_X9_62_PRIME_256V1_SEED[] = { | |
40720ce3 MC |
260 | 0xC4, 0x9D, 0x36, 0x08, 0x86, 0xE7, 0x04, 0x93, 0x6A, 0x66, |
261 | 0x78, 0xE1, 0x13, 0x9D, 0x26, 0xB7, 0x81, 0x9F, 0x7E, 0x90 | |
262 | }; | |
263 | ||
7eb18f12 | 264 | static const EC_CURVE_DATA _EC_X9_62_PRIME_256V1 = { |
40720ce3 MC |
265 | NID_X9_62_prime_field, |
266 | "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF", | |
267 | "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC", | |
268 | "5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B", | |
269 | "6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296", | |
270 | "4fe342e2fe1a7f9b8ee7eb4a7c0f9e162bce33576b315ececbb6406837bf51f5", | |
271 | "FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E84F3B9CAC2FC632551", 1, | |
272 | _EC_X9_62_PRIME_256V1_SEED, 20, | |
273 | "X9.62/SECG curve over a 256 bit prime field" | |
274 | }; | |
275 | ||
709c51c4 | 276 | /* the secg prime curves (minus the nist and x9.62 prime curves) */ |
7eb18f12 | 277 | static const unsigned char _EC_SECG_PRIME_112R1_SEED[] = { |
40720ce3 MC |
278 | 0x00, 0xF5, 0x0B, 0x02, 0x8E, 0x4D, 0x69, 0x6E, 0x67, 0x68, |
279 | 0x75, 0x61, 0x51, 0x75, 0x29, 0x04, 0x72, 0x78, 0x3F, 0xB1 | |
280 | }; | |
281 | ||
7eb18f12 | 282 | static const EC_CURVE_DATA _EC_SECG_PRIME_112R1 = { |
40720ce3 MC |
283 | NID_X9_62_prime_field, |
284 | "DB7C2ABF62E35E668076BEAD208B", | |
285 | "DB7C2ABF62E35E668076BEAD2088", | |
286 | "659EF8BA043916EEDE8911702B22", | |
287 | "09487239995A5EE76B55F9C2F098", | |
288 | "a89ce5af8724c0a23e0e0ff77500", | |
289 | "DB7C2ABF62E35E7628DFAC6561C5", 1, | |
290 | _EC_SECG_PRIME_112R1_SEED, 20, | |
291 | "SECG/WTLS curve over a 112 bit prime field" | |
292 | }; | |
7eb18f12 BM |
293 | |
294 | static const unsigned char _EC_SECG_PRIME_112R2_SEED[] = { | |
40720ce3 MC |
295 | 0x00, 0x27, 0x57, 0xA1, 0x11, 0x4D, 0x69, 0x6E, 0x67, 0x68, |
296 | 0x75, 0x61, 0x51, 0x75, 0x53, 0x16, 0xC0, 0x5E, 0x0B, 0xD4 | |
297 | }; | |
298 | ||
7eb18f12 | 299 | static const EC_CURVE_DATA _EC_SECG_PRIME_112R2 = { |
40720ce3 MC |
300 | NID_X9_62_prime_field, |
301 | "DB7C2ABF62E35E668076BEAD208B", | |
302 | "6127C24C05F38A0AAAF65C0EF02C", | |
303 | "51DEF1815DB5ED74FCC34C85D709", | |
304 | "4BA30AB5E892B4E1649DD0928643", | |
305 | "adcd46f5882e3747def36e956e97", | |
306 | "36DF0AAFD8B8D7597CA10520D04B", 4, | |
307 | _EC_SECG_PRIME_112R2_SEED, 20, | |
308 | "SECG curve over a 112 bit prime field" | |
309 | }; | |
7eb18f12 BM |
310 | |
311 | static const unsigned char _EC_SECG_PRIME_128R1_SEED[] = { | |
40720ce3 MC |
312 | 0x00, 0x0E, 0x0D, 0x4D, 0x69, 0x6E, 0x67, 0x68, 0x75, 0x61, |
313 | 0x51, 0x75, 0x0C, 0xC0, 0x3A, 0x44, 0x73, 0xD0, 0x36, 0x79 | |
314 | }; | |
315 | ||
7eb18f12 | 316 | static const EC_CURVE_DATA _EC_SECG_PRIME_128R1 = { |
40720ce3 MC |
317 | NID_X9_62_prime_field, |
318 | "FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFF", | |
319 | "FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFC", | |
320 | "E87579C11079F43DD824993C2CEE5ED3", | |
321 | "161FF7528B899B2D0C28607CA52C5B86", | |
322 | "cf5ac8395bafeb13c02da292dded7a83", | |
323 | "FFFFFFFE0000000075A30D1B9038A115", 1, | |
324 | _EC_SECG_PRIME_128R1_SEED, 20, | |
325 | "SECG curve over a 128 bit prime field" | |
326 | }; | |
7eb18f12 BM |
327 | |
328 | static const unsigned char _EC_SECG_PRIME_128R2_SEED[] = { | |
40720ce3 MC |
329 | 0x00, 0x4D, 0x69, 0x6E, 0x67, 0x68, 0x75, 0x61, 0x51, 0x75, |
330 | 0x12, 0xD8, 0xF0, 0x34, 0x31, 0xFC, 0xE6, 0x3B, 0x88, 0xF4 | |
331 | }; | |
332 | ||
7eb18f12 | 333 | static const EC_CURVE_DATA _EC_SECG_PRIME_128R2 = { |
40720ce3 MC |
334 | NID_X9_62_prime_field, |
335 | "FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFF", | |
336 | "D6031998D1B3BBFEBF59CC9BBFF9AEE1", | |
337 | "5EEEFCA380D02919DC2C6558BB6D8A5D", | |
338 | "7B6AA5D85E572983E6FB32A7CDEBC140", | |
339 | "27b6916a894d3aee7106fe805fc34b44", | |
340 | "3FFFFFFF7FFFFFFFBE0024720613B5A3", 4, | |
341 | _EC_SECG_PRIME_128R2_SEED, 20, | |
342 | "SECG curve over a 128 bit prime field" | |
343 | }; | |
7eb18f12 BM |
344 | |
345 | static const EC_CURVE_DATA _EC_SECG_PRIME_160K1 = { | |
40720ce3 MC |
346 | NID_X9_62_prime_field, |
347 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC73", | |
348 | "0", | |
349 | "7", | |
350 | "3B4C382CE37AA192A4019E763036F4F5DD4D7EBB", | |
351 | "938cf935318fdced6bc28286531733c3f03c4fee", | |
352 | "0100000000000000000001B8FA16DFAB9ACA16B6B3", 1, | |
353 | NULL, 0, | |
354 | "SECG curve over a 160 bit prime field" | |
355 | }; | |
7eb18f12 BM |
356 | |
357 | static const unsigned char _EC_SECG_PRIME_160R1_SEED[] = { | |
40720ce3 MC |
358 | 0x10, 0x53, 0xCD, 0xE4, 0x2C, 0x14, 0xD6, 0x96, 0xE6, 0x76, |
359 | 0x87, 0x56, 0x15, 0x17, 0x53, 0x3B, 0xF3, 0xF8, 0x33, 0x45 | |
360 | }; | |
361 | ||
7eb18f12 | 362 | static const EC_CURVE_DATA _EC_SECG_PRIME_160R1 = { |
40720ce3 MC |
363 | NID_X9_62_prime_field, |
364 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFF", | |
365 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFC", | |
366 | "1C97BEFC54BD7A8B65ACF89F81D4D4ADC565FA45", | |
367 | "4A96B5688EF573284664698968C38BB913CBFC82", | |
368 | "23a628553168947d59dcc912042351377ac5fb32", | |
369 | "0100000000000000000001F4C8F927AED3CA752257", 1, | |
370 | _EC_SECG_PRIME_160R1_SEED, 20, | |
371 | "SECG curve over a 160 bit prime field" | |
372 | }; | |
7eb18f12 BM |
373 | |
374 | static const unsigned char _EC_SECG_PRIME_160R2_SEED[] = { | |
40720ce3 MC |
375 | 0xB9, 0x9B, 0x99, 0xB0, 0x99, 0xB3, 0x23, 0xE0, 0x27, 0x09, |
376 | 0xA4, 0xD6, 0x96, 0xE6, 0x76, 0x87, 0x56, 0x15, 0x17, 0x51 | |
377 | }; | |
378 | ||
7eb18f12 | 379 | static const EC_CURVE_DATA _EC_SECG_PRIME_160R2 = { |
40720ce3 MC |
380 | NID_X9_62_prime_field, |
381 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC73", | |
382 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC70", | |
383 | "B4E134D3FB59EB8BAB57274904664D5AF50388BA", | |
384 | "52DCB034293A117E1F4FF11B30F7199D3144CE6D", | |
385 | "feaffef2e331f296e071fa0df9982cfea7d43f2e", | |
386 | "0100000000000000000000351EE786A818F3A1A16B", 1, | |
387 | _EC_SECG_PRIME_160R2_SEED, 20, | |
388 | "SECG/WTLS curve over a 160 bit prime field" | |
389 | }; | |
7eb18f12 BM |
390 | |
391 | static const EC_CURVE_DATA _EC_SECG_PRIME_192K1 = { | |
40720ce3 MC |
392 | NID_X9_62_prime_field, |
393 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFEE37", | |
394 | "0", | |
395 | "3", | |
396 | "DB4FF10EC057E9AE26B07D0280B7F4341DA5D1B1EAE06C7D", | |
397 | "9b2f2f6d9c5628a7844163d015be86344082aa88d95e2f9d", | |
398 | "FFFFFFFFFFFFFFFFFFFFFFFE26F2FC170F69466A74DEFD8D", 1, | |
399 | NULL, 20, | |
400 | "SECG curve over a 192 bit prime field" | |
401 | }; | |
7eb18f12 BM |
402 | |
403 | static const EC_CURVE_DATA _EC_SECG_PRIME_224K1 = { | |
40720ce3 MC |
404 | NID_X9_62_prime_field, |
405 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFE56D", | |
406 | "0", | |
407 | "5", | |
408 | "A1455B334DF099DF30FC28A169A467E9E47075A90F7E650EB6B7A45C", | |
409 | "7e089fed7fba344282cafbd6f7e319f7c0b0bd59e2ca4bdb556d61a5", | |
410 | "010000000000000000000000000001DCE8D2EC6184CAF0A971769FB1F7", 1, | |
411 | NULL, 20, | |
412 | "SECG curve over a 224 bit prime field" | |
413 | }; | |
7eb18f12 BM |
414 | |
415 | static const EC_CURVE_DATA _EC_SECG_PRIME_256K1 = { | |
40720ce3 MC |
416 | NID_X9_62_prime_field, |
417 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFC2F", | |
418 | "0", | |
419 | "7", | |
420 | "79BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798", | |
421 | "483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8", | |
422 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141", 1, | |
423 | NULL, 20, | |
424 | "SECG curve over a 256 bit prime field" | |
425 | }; | |
7eb18f12 | 426 | |
af28dd6c | 427 | /* some wap/wtls curves */ |
7eb18f12 | 428 | static const EC_CURVE_DATA _EC_WTLS_8 = { |
40720ce3 MC |
429 | NID_X9_62_prime_field, |
430 | "FFFFFFFFFFFFFFFFFFFFFFFFFDE7", | |
431 | "0", | |
432 | "3", | |
433 | "1", | |
434 | "2", | |
435 | "0100000000000001ECEA551AD837E9", 1, | |
436 | NULL, 20, | |
437 | "WTLS curve over a 112 bit prime field" | |
438 | }; | |
945e15a2 | 439 | |
7eb18f12 | 440 | static const EC_CURVE_DATA _EC_WTLS_9 = { |
40720ce3 MC |
441 | NID_X9_62_prime_field, |
442 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC808F", | |
443 | "0", | |
444 | "3", | |
445 | "1", | |
446 | "2", | |
447 | "0100000000000000000001CDC98AE0E2DE574ABF33", 1, | |
448 | NULL, 20, | |
449 | "WTLS curve over a 160 bit prime field" | |
450 | }; | |
945e15a2 | 451 | |
7eb18f12 | 452 | static const EC_CURVE_DATA _EC_WTLS_12 = { |
40720ce3 MC |
453 | NID_X9_62_prime_field, |
454 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001", | |
455 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE", | |
456 | "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4", | |
457 | "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21", | |
458 | "bd376388b5f723fb4c22dfe6cd4375a05a07476444d5819985007e34", | |
459 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D", 1, | |
460 | NULL, 0, | |
461 | "WTLS curvs over a 224 bit prime field" | |
462 | }; | |
7eb18f12 BM |
463 | |
464 | /* characteristic two curves */ | |
465 | static const unsigned char _EC_SECG_CHAR2_113R1_SEED[] = { | |
40720ce3 MC |
466 | 0x10, 0xE7, 0x23, 0xAB, 0x14, 0xD6, 0x96, 0xE6, 0x76, 0x87, |
467 | 0x56, 0x15, 0x17, 0x56, 0xFE, 0xBF, 0x8F, 0xCB, 0x49, 0xA9 | |
468 | }; | |
469 | ||
7eb18f12 | 470 | static const EC_CURVE_DATA _EC_SECG_CHAR2_113R1 = { |
40720ce3 MC |
471 | NID_X9_62_characteristic_two_field, |
472 | "020000000000000000000000000201", | |
473 | "003088250CA6E7C7FE649CE85820F7", | |
474 | "00E8BEE4D3E2260744188BE0E9C723", | |
475 | "009D73616F35F4AB1407D73562C10F", | |
476 | "00A52830277958EE84D1315ED31886", | |
477 | "0100000000000000D9CCEC8A39E56F", 2, | |
478 | _EC_SECG_CHAR2_113R1_SEED, 20, | |
479 | "SECG curve over a 113 bit binary field" | |
480 | }; | |
7eb18f12 BM |
481 | |
482 | static const unsigned char _EC_SECG_CHAR2_113R2_SEED[] = { | |
40720ce3 MC |
483 | 0x10, 0xC0, 0xFB, 0x15, 0x76, 0x08, 0x60, 0xDE, 0xF1, 0xEE, |
484 | 0xF4, 0xD6, 0x96, 0xE6, 0x76, 0x87, 0x56, 0x15, 0x17, 0x5D | |
485 | }; | |
486 | ||
7eb18f12 | 487 | static const EC_CURVE_DATA _EC_SECG_CHAR2_113R2 = { |
40720ce3 MC |
488 | NID_X9_62_characteristic_two_field, |
489 | "020000000000000000000000000201", | |
490 | "00689918DBEC7E5A0DD6DFC0AA55C7", | |
491 | "0095E9A9EC9B297BD4BF36E059184F", | |
492 | "01A57A6A7B26CA5EF52FCDB8164797", | |
493 | "00B3ADC94ED1FE674C06E695BABA1D", | |
494 | "010000000000000108789B2496AF93", 2, | |
495 | _EC_SECG_CHAR2_113R2_SEED, 20, | |
496 | "SECG curve over a 113 bit binary field" | |
497 | }; | |
7eb18f12 BM |
498 | |
499 | static const unsigned char _EC_SECG_CHAR2_131R1_SEED[] = { | |
40720ce3 MC |
500 | 0x4D, 0x69, 0x6E, 0x67, 0x68, 0x75, 0x61, 0x51, 0x75, 0x98, |
501 | 0x5B, 0xD3, 0xAD, 0xBA, 0xDA, 0x21, 0xB4, 0x3A, 0x97, 0xE2 | |
502 | }; | |
503 | ||
7eb18f12 | 504 | static const EC_CURVE_DATA _EC_SECG_CHAR2_131R1 = { |
40720ce3 MC |
505 | NID_X9_62_characteristic_two_field, |
506 | "080000000000000000000000000000010D", | |
507 | "07A11B09A76B562144418FF3FF8C2570B8", | |
508 | "0217C05610884B63B9C6C7291678F9D341", | |
509 | "0081BAF91FDF9833C40F9C181343638399", | |
510 | "078C6E7EA38C001F73C8134B1B4EF9E150", | |
511 | "0400000000000000023123953A9464B54D", 2, | |
512 | _EC_SECG_CHAR2_131R1_SEED, 20, | |
513 | "SECG/WTLS curve over a 131 bit binary field" | |
514 | }; | |
7eb18f12 BM |
515 | |
516 | static const unsigned char _EC_SECG_CHAR2_131R2_SEED[] = { | |
40720ce3 MC |
517 | 0x98, 0x5B, 0xD3, 0xAD, 0xBA, 0xD4, 0xD6, 0x96, 0xE6, 0x76, |
518 | 0x87, 0x56, 0x15, 0x17, 0x5A, 0x21, 0xB4, 0x3A, 0x97, 0xE3 | |
519 | }; | |
520 | ||
7eb18f12 | 521 | static const EC_CURVE_DATA _EC_SECG_CHAR2_131R2 = { |
40720ce3 MC |
522 | NID_X9_62_characteristic_two_field, |
523 | "080000000000000000000000000000010D", | |
524 | "03E5A88919D7CAFCBF415F07C2176573B2", | |
525 | "04B8266A46C55657AC734CE38F018F2192", | |
526 | "0356DCD8F2F95031AD652D23951BB366A8", | |
527 | "0648F06D867940A5366D9E265DE9EB240F", | |
528 | "0400000000000000016954A233049BA98F", 2, | |
529 | _EC_SECG_CHAR2_131R2_SEED, 20, | |
530 | "SECG curve over a 131 bit binary field" | |
531 | }; | |
7eb18f12 | 532 | |
ace3ebd6 | 533 | static const EC_CURVE_DATA _EC_NIST_CHAR2_163K = { |
40720ce3 MC |
534 | NID_X9_62_characteristic_two_field, |
535 | "0800000000000000000000000000000000000000C9", | |
536 | "1", | |
537 | "1", | |
538 | "02FE13C0537BBC11ACAA07D793DE4E6D5E5C94EEE8", | |
539 | "0289070FB05D38FF58321F2E800536D538CCDAA3D9", | |
540 | "04000000000000000000020108A2E0CC0D99F8A5EF", 2, | |
541 | NULL, 0, | |
542 | "NIST/SECG/WTLS curve over a 163 bit binary field" | |
543 | }; | |
7eb18f12 BM |
544 | |
545 | static const unsigned char _EC_SECG_CHAR2_163R1_SEED[] = { | |
40720ce3 MC |
546 | 0x24, 0xB7, 0xB1, 0x37, 0xC8, 0xA1, 0x4D, 0x69, 0x6E, 0x67, |
547 | 0x68, 0x75, 0x61, 0x51, 0x75, 0x6F, 0xD0, 0xDA, 0x2E, 0x5C | |
548 | }; | |
549 | ||
7eb18f12 | 550 | static const EC_CURVE_DATA _EC_SECG_CHAR2_163R1 = { |
40720ce3 MC |
551 | NID_X9_62_characteristic_two_field, |
552 | "0800000000000000000000000000000000000000C9", | |
553 | "07B6882CAAEFA84F9554FF8428BD88E246D2782AE2", | |
554 | "0713612DCDDCB40AAB946BDA29CA91F73AF958AFD9", | |
555 | "0369979697AB43897789566789567F787A7876A654", | |
556 | "00435EDB42EFAFB2989D51FEFCE3C80988F41FF883", | |
557 | "03FFFFFFFFFFFFFFFFFFFF48AAB689C29CA710279B", 2, | |
558 | /* | |
559 | * The algorithm used to derive the curve parameters from the seed used | |
560 | * here is slightly different than the algorithm described in X9.62 . | |
561 | */ | |
51487109 | 562 | #if 0 |
40720ce3 | 563 | _EC_SECG_CHAR2_163R1_SEED, 20, |
51487109 | 564 | #else |
40720ce3 | 565 | NULL, 0, |
51487109 | 566 | #endif |
40720ce3 MC |
567 | "SECG curve over a 163 bit binary field" |
568 | }; | |
7eb18f12 | 569 | |
ace3ebd6 | 570 | static const unsigned char _EC_NIST_CHAR2_163B_SEED[] = { |
40720ce3 MC |
571 | 0x85, 0xE2, 0x5B, 0xFE, 0x5C, 0x86, 0x22, 0x6C, 0xDB, 0x12, |
572 | 0x01, 0x6F, 0x75, 0x53, 0xF9, 0xD0, 0xE6, 0x93, 0xA2, 0x68 | |
573 | }; | |
574 | ||
575 | static const EC_CURVE_DATA _EC_NIST_CHAR2_163B = { | |
576 | NID_X9_62_characteristic_two_field, | |
577 | "0800000000000000000000000000000000000000C9", | |
578 | "1", | |
579 | "020A601907B8C953CA1481EB10512F78744A3205FD", | |
580 | "03F0EBA16286A2D57EA0991168D4994637E8343E36", | |
581 | "00D51FBC6C71A0094FA2CDD545B11C5C0C797324F1", | |
582 | "040000000000000000000292FE77E70C12A4234C33", 2, | |
583 | /* | |
584 | * The seed here was used to created the curve parameters in normal basis | |
585 | * representation (and not the polynomial representation used here) | |
586 | */ | |
51487109 | 587 | #if 0 |
40720ce3 | 588 | _EC_NIST_CHAR2_163B_SEED, 20, |
51487109 | 589 | #else |
40720ce3 | 590 | NULL, 0, |
51487109 | 591 | #endif |
40720ce3 MC |
592 | "NIST/SECG curve over a 163 bit binary field" |
593 | }; | |
7eb18f12 BM |
594 | |
595 | static const unsigned char _EC_SECG_CHAR2_193R1_SEED[] = { | |
40720ce3 MC |
596 | 0x10, 0x3F, 0xAE, 0xC7, 0x4D, 0x69, 0x6E, 0x67, 0x68, 0x75, |
597 | 0x61, 0x51, 0x75, 0x77, 0x7F, 0xC5, 0xB1, 0x91, 0xEF, 0x30 | |
598 | }; | |
599 | ||
7eb18f12 | 600 | static const EC_CURVE_DATA _EC_SECG_CHAR2_193R1 = { |
40720ce3 MC |
601 | NID_X9_62_characteristic_two_field, |
602 | "02000000000000000000000000000000000000000000008001", | |
603 | "0017858FEB7A98975169E171F77B4087DE098AC8A911DF7B01", | |
604 | "00FDFB49BFE6C3A89FACADAA7A1E5BBC7CC1C2E5D831478814", | |
605 | "01F481BC5F0FF84A74AD6CDF6FDEF4BF6179625372D8C0C5E1", | |
606 | "0025E399F2903712CCF3EA9E3A1AD17FB0B3201B6AF7CE1B05", | |
607 | "01000000000000000000000000C7F34A778F443ACC920EBA49", 2, | |
608 | _EC_SECG_CHAR2_193R1_SEED, 20, | |
609 | "SECG curve over a 193 bit binary field" | |
610 | }; | |
7eb18f12 BM |
611 | |
612 | static const unsigned char _EC_SECG_CHAR2_193R2_SEED[] = { | |
40720ce3 MC |
613 | 0x10, 0xB7, 0xB4, 0xD6, 0x96, 0xE6, 0x76, 0x87, 0x56, 0x15, |
614 | 0x17, 0x51, 0x37, 0xC8, 0xA1, 0x6F, 0xD0, 0xDA, 0x22, 0x11 | |
615 | }; | |
616 | ||
7eb18f12 | 617 | static const EC_CURVE_DATA _EC_SECG_CHAR2_193R2 = { |
40720ce3 MC |
618 | NID_X9_62_characteristic_two_field, |
619 | "02000000000000000000000000000000000000000000008001", | |
620 | "0163F35A5137C2CE3EA6ED8667190B0BC43ECD69977702709B", | |
621 | "00C9BB9E8927D4D64C377E2AB2856A5B16E3EFB7F61D4316AE", | |
622 | "00D9B67D192E0367C803F39E1A7E82CA14A651350AAE617E8F", | |
623 | "01CE94335607C304AC29E7DEFBD9CA01F596F927224CDECF6C", | |
624 | "010000000000000000000000015AAB561B005413CCD4EE99D5", 2, | |
625 | _EC_SECG_CHAR2_193R2_SEED, 20, | |
626 | "SECG curve over a 193 bit binary field" | |
627 | }; | |
7eb18f12 | 628 | |
ace3ebd6 | 629 | static const EC_CURVE_DATA _EC_NIST_CHAR2_233K = { |
40720ce3 MC |
630 | NID_X9_62_characteristic_two_field, |
631 | "020000000000000000000000000000000000000004000000000000000001", | |
632 | "0", | |
633 | "1", | |
634 | "017232BA853A7E731AF129F22FF4149563A419C26BF50A4C9D6EEFAD6126", | |
635 | "01DB537DECE819B7F70F555A67C427A8CD9BF18AEB9B56E0C11056FAE6A3", | |
636 | "008000000000000000000000000000069D5BB915BCD46EFB1AD5F173ABDF", 4, | |
637 | NULL, 0, | |
638 | "NIST/SECG/WTLS curve over a 233 bit binary field" | |
639 | }; | |
7eb18f12 | 640 | |
ace3ebd6 | 641 | static const unsigned char _EC_NIST_CHAR2_233B_SEED[] = { |
40720ce3 MC |
642 | 0x74, 0xD5, 0x9F, 0xF0, 0x7F, 0x6B, 0x41, 0x3D, 0x0E, 0xA1, |
643 | 0x4B, 0x34, 0x4B, 0x20, 0xA2, 0xDB, 0x04, 0x9B, 0x50, 0xC3 | |
644 | }; | |
645 | ||
ace3ebd6 | 646 | static const EC_CURVE_DATA _EC_NIST_CHAR2_233B = { |
40720ce3 MC |
647 | NID_X9_62_characteristic_two_field, |
648 | "020000000000000000000000000000000000000004000000000000000001", | |
649 | "000000000000000000000000000000000000000000000000000000000001", | |
650 | "0066647EDE6C332C7F8C0923BB58213B333B20E9CE4281FE115F7D8F90AD", | |
651 | "00FAC9DFCBAC8313BB2139F1BB755FEF65BC391F8B36F8F8EB7371FD558B", | |
652 | "01006A08A41903350678E58528BEBF8A0BEFF867A7CA36716F7E01F81052", | |
653 | "01000000000000000000000000000013E974E72F8A6922031D2603CFE0D7", 2, | |
654 | _EC_NIST_CHAR2_233B_SEED, 20, | |
655 | "NIST/SECG/WTLS curve over a 233 bit binary field" | |
656 | }; | |
7eb18f12 BM |
657 | |
658 | static const EC_CURVE_DATA _EC_SECG_CHAR2_239K1 = { | |
40720ce3 MC |
659 | NID_X9_62_characteristic_two_field, |
660 | "800000000000000000004000000000000000000000000000000000000001", | |
661 | "0", | |
662 | "1", | |
663 | "29A0B6A887A983E9730988A68727A8B2D126C44CC2CC7B2A6555193035DC", | |
664 | "76310804F12E549BDB011C103089E73510ACB275FC312A5DC6B76553F0CA", | |
665 | "2000000000000000000000000000005A79FEC67CB6E91F1C1DA800E478A5", 4, | |
666 | NULL, 0, | |
667 | "SECG curve over a 239 bit binary field" | |
668 | }; | |
7eb18f12 | 669 | |
ace3ebd6 | 670 | static const EC_CURVE_DATA _EC_NIST_CHAR2_283K = { |
40720ce3 MC |
671 | NID_X9_62_characteristic_two_field, |
672 | "080000000000000000000000000000000000000000000000000000000000000000001" | |
673 | "0A1", | |
674 | "0", | |
675 | "1", | |
676 | "0503213F78CA44883F1A3B8162F188E553CD265F23C1567A16876913B0C2AC2458492" | |
677 | "836", | |
678 | "01CCDA380F1C9E318D90F95D07E5426FE87E45C0E8184698E45962364E34116177DD2" | |
679 | "259", | |
680 | "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE9AE2ED07577265DFF7F94451E061E163" | |
681 | "C61", 4, | |
682 | NULL, 20, | |
683 | "NIST/SECG curve over a 283 bit binary field" | |
684 | }; | |
7eb18f12 | 685 | |
ace3ebd6 | 686 | static const unsigned char _EC_NIST_CHAR2_283B_SEED[] = { |
40720ce3 MC |
687 | 0x77, 0xE2, 0xB0, 0x73, 0x70, 0xEB, 0x0F, 0x83, 0x2A, 0x6D, |
688 | 0xD5, 0xB6, 0x2D, 0xFC, 0x88, 0xCD, 0x06, 0xBB, 0x84, 0xBE | |
689 | }; | |
690 | ||
ace3ebd6 | 691 | static const EC_CURVE_DATA _EC_NIST_CHAR2_283B = { |
40720ce3 MC |
692 | NID_X9_62_characteristic_two_field, |
693 | "080000000000000000000000000000000000000000000000000000000000000000001" | |
694 | "0A1", | |
695 | "000000000000000000000000000000000000000000000000000000000000000000000" | |
696 | "001", | |
697 | "027B680AC8B8596DA5A4AF8A19A0303FCA97FD7645309FA2A581485AF6263E313B79A" | |
698 | "2F5", | |
699 | "05F939258DB7DD90E1934F8C70B0DFEC2EED25B8557EAC9C80E2E198F8CDBECD86B12" | |
700 | "053", | |
701 | "03676854FE24141CB98FE6D4B20D02B4516FF702350EDDB0826779C813F0DF45BE811" | |
702 | "2F4", | |
703 | "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEF90399660FC938A90165B042A7CEFADB" | |
704 | "307", 2, | |
705 | _EC_NIST_CHAR2_283B_SEED, 20, | |
706 | "NIST/SECG curve over a 283 bit binary field" | |
707 | }; | |
7eb18f12 | 708 | |
ace3ebd6 | 709 | static const EC_CURVE_DATA _EC_NIST_CHAR2_409K = { |
40720ce3 MC |
710 | NID_X9_62_characteristic_two_field, |
711 | "020000000000000000000000000000000000000000000000000000000000000000000" | |
712 | "00000000000008000000000000000000001", | |
713 | "0", | |
714 | "1", | |
715 | "0060F05F658F49C1AD3AB1890F7184210EFD0987E307C84C27ACCFB8F9F67CC2C4601" | |
716 | "89EB5AAAA62EE222EB1B35540CFE9023746", | |
717 | "01E369050B7C4E42ACBA1DACBF04299C3460782F918EA427E6325165E9EA10E3DA5F6" | |
718 | "C42E9C55215AA9CA27A5863EC48D8E0286B", | |
719 | "007FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE5F83B2D4EA20400" | |
720 | "EC4557D5ED3E3E7CA5B4B5C83B8E01E5FCF", 4, | |
721 | NULL, 0, | |
722 | "NIST/SECG curve over a 409 bit binary field" | |
723 | }; | |
7eb18f12 | 724 | |
ace3ebd6 | 725 | static const unsigned char _EC_NIST_CHAR2_409B_SEED[] = { |
40720ce3 MC |
726 | 0x40, 0x99, 0xB5, 0xA4, 0x57, 0xF9, 0xD6, 0x9F, 0x79, 0x21, |
727 | 0x3D, 0x09, 0x4C, 0x4B, 0xCD, 0x4D, 0x42, 0x62, 0x21, 0x0B | |
728 | }; | |
729 | ||
ace3ebd6 | 730 | static const EC_CURVE_DATA _EC_NIST_CHAR2_409B = { |
40720ce3 MC |
731 | NID_X9_62_characteristic_two_field, |
732 | "020000000000000000000000000000000000000000000000000000000000000000000" | |
733 | "00000000000008000000000000000000001", | |
734 | "000000000000000000000000000000000000000000000000000000000000000000000" | |
735 | "00000000000000000000000000000000001", | |
736 | "0021A5C2C8EE9FEB5C4B9A753B7B476B7FD6422EF1F3DD674761FA99D6AC27C8A9A19" | |
737 | "7B272822F6CD57A55AA4F50AE317B13545F", | |
738 | "015D4860D088DDB3496B0C6064756260441CDE4AF1771D4DB01FFE5B34E59703DC255" | |
739 | "A868A1180515603AEAB60794E54BB7996A7", | |
740 | "0061B1CFAB6BE5F32BBFA78324ED106A7636B9C5A7BD198D0158AA4F5488D08F38514" | |
741 | "F1FDF4B4F40D2181B3681C364BA0273C706", | |
742 | "010000000000000000000000000000000000000000000000000001E2AAD6A612F3330" | |
743 | "7BE5FA47C3C9E052F838164CD37D9A21173", 2, | |
744 | _EC_NIST_CHAR2_409B_SEED, 20, | |
745 | "NIST/SECG curve over a 409 bit binary field" | |
746 | }; | |
7eb18f12 | 747 | |
ace3ebd6 | 748 | static const EC_CURVE_DATA _EC_NIST_CHAR2_571K = { |
40720ce3 MC |
749 | NID_X9_62_characteristic_two_field, |
750 | "800000000000000000000000000000000000000000000000000000000000000000000" | |
751 | "000000000000000000000000000000000000000000000000000000000000000000000" | |
752 | "00425", | |
753 | "0", | |
754 | "1", | |
755 | "026EB7A859923FBC82189631F8103FE4AC9CA2970012D5D46024804801841CA443709" | |
756 | "58493B205E647DA304DB4CEB08CBBD1BA39494776FB988B47174DCA88C7E2945283A0" | |
757 | "1C8972", | |
758 | "0349DC807F4FBF374F4AEADE3BCA95314DD58CEC9F307A54FFC61EFC006D8A2C9D497" | |
759 | "9C0AC44AEA74FBEBBB9F772AEDCB620B01A7BA7AF1B320430C8591984F601CD4C143E" | |
760 | "F1C7A3", | |
761 | "020000000000000000000000000000000000000000000000000000000000000000000" | |
762 | "000131850E1F19A63E4B391A8DB917F4138B630D84BE5D639381E91DEB45CFE778F63" | |
763 | "7C1001", 4, | |
764 | NULL, 0, | |
765 | "NIST/SECG curve over a 571 bit binary field" | |
766 | }; | |
7eb18f12 | 767 | |
ace3ebd6 | 768 | static const unsigned char _EC_NIST_CHAR2_571B_SEED[] = { |
40720ce3 MC |
769 | 0x2A, 0xA0, 0x58, 0xF7, 0x3A, 0x0E, 0x33, 0xAB, 0x48, 0x6B, |
770 | 0x0F, 0x61, 0x04, 0x10, 0xC5, 0x3A, 0x7F, 0x13, 0x23, 0x10 | |
771 | }; | |
772 | ||
ace3ebd6 | 773 | static const EC_CURVE_DATA _EC_NIST_CHAR2_571B = { |
40720ce3 MC |
774 | NID_X9_62_characteristic_two_field, |
775 | "800000000000000000000000000000000000000000000000000000000000000000000" | |
776 | "000000000000000000000000000000000000000000000000000000000000000000000" | |
777 | "00425", | |
778 | "000000000000000000000000000000000000000000000000000000000000000000000" | |
779 | "000000000000000000000000000000000000000000000000000000000000000000000" | |
780 | "000001", | |
781 | "02F40E7E2221F295DE297117B7F3D62F5C6A97FFCB8CEFF1CD6BA8CE4A9A18AD84FFA" | |
782 | "BBD8EFA59332BE7AD6756A66E294AFD185A78FF12AA520E4DE739BACA0C7FFEFF7F29" | |
783 | "55727A", | |
784 | "0303001D34B856296C16C0D40D3CD7750A93D1D2955FA80AA5F40FC8DB7B2ABDBDE53" | |
785 | "950F4C0D293CDD711A35B67FB1499AE60038614F1394ABFA3B4C850D927E1E7769C8E" | |
786 | "EC2D19", | |
787 | "037BF27342DA639B6DCCFFFEB73D69D78C6C27A6009CBBCA1980F8533921E8A684423" | |
788 | "E43BAB08A576291AF8F461BB2A8B3531D2F0485C19B16E2F1516E23DD3C1A4827AF1B" | |
789 | "8AC15B", | |
790 | "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" | |
791 | "FFFE661CE18FF55987308059B186823851EC7DD9CA1161DE93D5174D66E8382E9BB2F" | |
792 | "E84E47", 2, | |
793 | _EC_NIST_CHAR2_571B_SEED, 20, | |
794 | "NIST/SECG curve over a 571 bit binary field" | |
795 | }; | |
7eb18f12 BM |
796 | |
797 | static const unsigned char _EC_X9_62_CHAR2_163V1_SEED[] = { | |
40720ce3 MC |
798 | 0xD2, 0xC0, 0xFB, 0x15, 0x76, 0x08, 0x60, 0xDE, 0xF1, 0xEE, |
799 | 0xF4, 0xD6, 0x96, 0xE6, 0x76, 0x87, 0x56, 0x15, 0x17, 0x54 | |
800 | }; | |
801 | ||
7eb18f12 | 802 | static const EC_CURVE_DATA _EC_X9_62_CHAR2_163V1 = { |
40720ce3 MC |
803 | NID_X9_62_characteristic_two_field, |
804 | "080000000000000000000000000000000000000107", | |
805 | "072546B5435234A422E0789675F432C89435DE5242", | |
806 | "00C9517D06D5240D3CFF38C74B20B6CD4D6F9DD4D9", | |
807 | "07AF69989546103D79329FCC3D74880F33BBE803CB", | |
808 | "01EC23211B5966ADEA1D3F87F7EA5848AEF0B7CA9F", | |
809 | "0400000000000000000001E60FC8821CC74DAEAFC1", 2, | |
810 | _EC_X9_62_CHAR2_163V1_SEED, 20, | |
811 | "X9.62 curve over a 163 bit binary field" | |
812 | }; | |
7eb18f12 BM |
813 | |
814 | static const unsigned char _EC_X9_62_CHAR2_163V2_SEED[] = { | |
40720ce3 MC |
815 | 0x53, 0x81, 0x4C, 0x05, 0x0D, 0x44, 0xD6, 0x96, 0xE6, 0x76, |
816 | 0x87, 0x56, 0x15, 0x17, 0x58, 0x0C, 0xA4, 0xE2, 0x9F, 0xFD | |
817 | }; | |
818 | ||
7eb18f12 | 819 | static const EC_CURVE_DATA _EC_X9_62_CHAR2_163V2 = { |
40720ce3 MC |
820 | NID_X9_62_characteristic_two_field, |
821 | "080000000000000000000000000000000000000107", | |
822 | "0108B39E77C4B108BED981ED0E890E117C511CF072", | |
823 | "0667ACEB38AF4E488C407433FFAE4F1C811638DF20", | |
824 | "0024266E4EB5106D0A964D92C4860E2671DB9B6CC5", | |
825 | "079F684DDF6684C5CD258B3890021B2386DFD19FC5", | |
826 | "03FFFFFFFFFFFFFFFFFFFDF64DE1151ADBB78F10A7", 2, | |
827 | _EC_X9_62_CHAR2_163V2_SEED, 20, | |
828 | "X9.62 curve over a 163 bit binary field" | |
829 | }; | |
7eb18f12 BM |
830 | |
831 | static const unsigned char _EC_X9_62_CHAR2_163V3_SEED[] = { | |
40720ce3 MC |
832 | 0x50, 0xCB, 0xF1, 0xD9, 0x5C, 0xA9, 0x4D, 0x69, 0x6E, 0x67, |
833 | 0x68, 0x75, 0x61, 0x51, 0x75, 0xF1, 0x6A, 0x36, 0xA3, 0xB8 | |
834 | }; | |
835 | ||
7eb18f12 | 836 | static const EC_CURVE_DATA _EC_X9_62_CHAR2_163V3 = { |
40720ce3 MC |
837 | NID_X9_62_characteristic_two_field, |
838 | "080000000000000000000000000000000000000107", | |
839 | "07A526C63D3E25A256A007699F5447E32AE456B50E", | |
840 | "03F7061798EB99E238FD6F1BF95B48FEEB4854252B", | |
841 | "02F9F87B7C574D0BDECF8A22E6524775F98CDEBDCB", | |
842 | "05B935590C155E17EA48EB3FF3718B893DF59A05D0", | |
843 | "03FFFFFFFFFFFFFFFFFFFE1AEE140F110AFF961309", 2, | |
844 | _EC_X9_62_CHAR2_163V3_SEED, 20, | |
845 | "X9.62 curve over a 163 bit binary field" | |
846 | }; | |
7eb18f12 BM |
847 | |
848 | static const EC_CURVE_DATA _EC_X9_62_CHAR2_176V1 = { | |
40720ce3 MC |
849 | NID_X9_62_characteristic_two_field, |
850 | "0100000000000000000000000000000000080000000007", | |
851 | "E4E6DB2995065C407D9D39B8D0967B96704BA8E9C90B", | |
852 | "5DDA470ABE6414DE8EC133AE28E9BBD7FCEC0AE0FFF2", | |
853 | "8D16C2866798B600F9F08BB4A8E860F3298CE04A5798", | |
854 | "6FA4539C2DADDDD6BAB5167D61B436E1D92BB16A562C", | |
855 | "00010092537397ECA4F6145799D62B0A19CE06FE26AD", 0xFF6E, | |
856 | NULL, 0, | |
857 | "X9.62 curve over a 176 bit binary field" | |
858 | }; | |
7eb18f12 BM |
859 | |
860 | static const unsigned char _EC_X9_62_CHAR2_191V1_SEED[] = { | |
40720ce3 MC |
861 | 0x4E, 0x13, 0xCA, 0x54, 0x27, 0x44, 0xD6, 0x96, 0xE6, 0x76, |
862 | 0x87, 0x56, 0x15, 0x17, 0x55, 0x2F, 0x27, 0x9A, 0x8C, 0x84 | |
863 | }; | |
864 | ||
7eb18f12 | 865 | static const EC_CURVE_DATA _EC_X9_62_CHAR2_191V1 = { |
40720ce3 MC |
866 | NID_X9_62_characteristic_two_field, |
867 | "800000000000000000000000000000000000000000000201", | |
868 | "2866537B676752636A68F56554E12640276B649EF7526267", | |
869 | "2E45EF571F00786F67B0081B9495A3D95462F5DE0AA185EC", | |
870 | "36B3DAF8A23206F9C4F299D7B21A9C369137F2C84AE1AA0D", | |
871 | "765BE73433B3F95E332932E70EA245CA2418EA0EF98018FB", | |
872 | "40000000000000000000000004A20E90C39067C893BBB9A5", 2, | |
873 | _EC_X9_62_CHAR2_191V1_SEED, 20, | |
874 | "X9.62 curve over a 191 bit binary field" | |
875 | }; | |
7eb18f12 BM |
876 | |
877 | static const unsigned char _EC_X9_62_CHAR2_191V2_SEED[] = { | |
40720ce3 MC |
878 | 0x08, 0x71, 0xEF, 0x2F, 0xEF, 0x24, 0xD6, 0x96, 0xE6, 0x76, |
879 | 0x87, 0x56, 0x15, 0x17, 0x58, 0xBE, 0xE0, 0xD9, 0x5C, 0x15 | |
880 | }; | |
881 | ||
7eb18f12 | 882 | static const EC_CURVE_DATA _EC_X9_62_CHAR2_191V2 = { |
40720ce3 MC |
883 | NID_X9_62_characteristic_two_field, |
884 | "800000000000000000000000000000000000000000000201", | |
885 | "401028774D7777C7B7666D1366EA432071274F89FF01E718", | |
886 | "0620048D28BCBD03B6249C99182B7C8CD19700C362C46A01", | |
887 | "3809B2B7CC1B28CC5A87926AAD83FD28789E81E2C9E3BF10", | |
888 | "17434386626D14F3DBF01760D9213A3E1CF37AEC437D668A", | |
889 | "20000000000000000000000050508CB89F652824E06B8173", 4, | |
890 | _EC_X9_62_CHAR2_191V2_SEED, 20, | |
891 | "X9.62 curve over a 191 bit binary field" | |
892 | }; | |
945e15a2 | 893 | |
7eb18f12 | 894 | static const unsigned char _EC_X9_62_CHAR2_191V3_SEED[] = { |
40720ce3 MC |
895 | 0xE0, 0x53, 0x51, 0x2D, 0xC6, 0x84, 0xD6, 0x96, 0xE6, 0x76, |
896 | 0x87, 0x56, 0x15, 0x17, 0x50, 0x67, 0xAE, 0x78, 0x6D, 0x1F | |
897 | }; | |
898 | ||
7eb18f12 | 899 | static const EC_CURVE_DATA _EC_X9_62_CHAR2_191V3 = { |
40720ce3 MC |
900 | NID_X9_62_characteristic_two_field, |
901 | "800000000000000000000000000000000000000000000201", | |
902 | "6C01074756099122221056911C77D77E77A777E7E7E77FCB", | |
903 | "71FE1AF926CF847989EFEF8DB459F66394D90F32AD3F15E8", | |
904 | "375D4CE24FDE434489DE8746E71786015009E66E38A926DD", | |
905 | "545A39176196575D985999366E6AD34CE0A77CD7127B06BE", | |
906 | "155555555555555555555555610C0B196812BFB6288A3EA3", 6, | |
907 | _EC_X9_62_CHAR2_191V3_SEED, 20, | |
908 | "X9.62 curve over a 191 bit binary field" | |
909 | }; | |
7eb18f12 BM |
910 | |
911 | static const EC_CURVE_DATA _EC_X9_62_CHAR2_208W1 = { | |
40720ce3 MC |
912 | NID_X9_62_characteristic_two_field, |
913 | "010000000000000000000000000000000800000000000000000007", | |
914 | "0000000000000000000000000000000000000000000000000000", | |
915 | "C8619ED45A62E6212E1160349E2BFA844439FAFC2A3FD1638F9E", | |
916 | "89FDFBE4ABE193DF9559ECF07AC0CE78554E2784EB8C1ED1A57A", | |
917 | "0F55B51A06E78E9AC38A035FF520D8B01781BEB1A6BB08617DE3", | |
918 | "000101BAF95C9723C57B6C21DA2EFF2D5ED588BDD5717E212F9D", 0xFE48, | |
919 | NULL, 0, | |
920 | "X9.62 curve over a 208 bit binary field" | |
921 | }; | |
7eb18f12 BM |
922 | |
923 | static const unsigned char _EC_X9_62_CHAR2_239V1_SEED[] = { | |
40720ce3 MC |
924 | 0xD3, 0x4B, 0x9A, 0x4D, 0x69, 0x6E, 0x67, 0x68, 0x75, 0x61, |
925 | 0x51, 0x75, 0xCA, 0x71, 0xB9, 0x20, 0xBF, 0xEF, 0xB0, 0x5D | |
926 | }; | |
927 | ||
7eb18f12 | 928 | static const EC_CURVE_DATA _EC_X9_62_CHAR2_239V1 = { |
40720ce3 MC |
929 | NID_X9_62_characteristic_two_field, |
930 | "800000000000000000000000000000000000000000000000001000000001", | |
931 | "32010857077C5431123A46B808906756F543423E8D27877578125778AC76", | |
932 | "790408F2EEDAF392B012EDEFB3392F30F4327C0CA3F31FC383C422AA8C16", | |
933 | "57927098FA932E7C0A96D3FD5B706EF7E5F5C156E16B7E7C86038552E91D", | |
934 | "61D8EE5077C33FECF6F1A16B268DE469C3C7744EA9A971649FC7A9616305", | |
935 | "2000000000000000000000000000000F4D42FFE1492A4993F1CAD666E447", 4, | |
936 | _EC_X9_62_CHAR2_239V1_SEED, 20, | |
937 | "X9.62 curve over a 239 bit binary field" | |
938 | }; | |
7eb18f12 BM |
939 | |
940 | static const unsigned char _EC_X9_62_CHAR2_239V2_SEED[] = { | |
40720ce3 MC |
941 | 0x2A, 0xA6, 0x98, 0x2F, 0xDF, 0xA4, 0xD6, 0x96, 0xE6, 0x76, |
942 | 0x87, 0x56, 0x15, 0x17, 0x5D, 0x26, 0x67, 0x27, 0x27, 0x7D | |
943 | }; | |
944 | ||
7eb18f12 | 945 | static const EC_CURVE_DATA _EC_X9_62_CHAR2_239V2 = { |
40720ce3 MC |
946 | NID_X9_62_characteristic_two_field, |
947 | "800000000000000000000000000000000000000000000000001000000001", | |
948 | "4230017757A767FAE42398569B746325D45313AF0766266479B75654E65F", | |
949 | "5037EA654196CFF0CD82B2C14A2FCF2E3FF8775285B545722F03EACDB74B", | |
950 | "28F9D04E900069C8DC47A08534FE76D2B900B7D7EF31F5709F200C4CA205", | |
951 | "5667334C45AFF3B5A03BAD9DD75E2C71A99362567D5453F7FA6E227EC833", | |
952 | "1555555555555555555555555555553C6F2885259C31E3FCDF154624522D", 6, | |
953 | _EC_X9_62_CHAR2_239V2_SEED, 20, | |
954 | "X9.62 curve over a 239 bit binary field" | |
955 | }; | |
7eb18f12 BM |
956 | |
957 | static const unsigned char _EC_X9_62_CHAR2_239V3_SEED[] = { | |
40720ce3 MC |
958 | 0x9E, 0x07, 0x6F, 0x4D, 0x69, 0x6E, 0x67, 0x68, 0x75, 0x61, |
959 | 0x51, 0x75, 0xE1, 0x1E, 0x9F, 0xDD, 0x77, 0xF9, 0x20, 0x41 | |
960 | }; | |
961 | ||
7eb18f12 | 962 | static const EC_CURVE_DATA _EC_X9_62_CHAR2_239V3 = { |
40720ce3 MC |
963 | NID_X9_62_characteristic_two_field, |
964 | "800000000000000000000000000000000000000000000000001000000001", | |
965 | "01238774666A67766D6676F778E676B66999176666E687666D8766C66A9F", | |
966 | "6A941977BA9F6A435199ACFC51067ED587F519C5ECB541B8E44111DE1D40", | |
967 | "70F6E9D04D289C4E89913CE3530BFDE903977D42B146D539BF1BDE4E9C92", | |
968 | "2E5A0EAF6E5E1305B9004DCE5C0ED7FE59A35608F33837C816D80B79F461", | |
969 | "0CCCCCCCCCCCCCCCCCCCCCCCCCCCCCAC4912D2D9DF903EF9888B8A0E4CFF", 0xA, | |
970 | _EC_X9_62_CHAR2_239V3_SEED, 20, | |
971 | "X9.62 curve over a 239 bit binary field" | |
972 | }; | |
7eb18f12 BM |
973 | |
974 | static const EC_CURVE_DATA _EC_X9_62_CHAR2_272W1 = { | |
40720ce3 MC |
975 | NID_X9_62_characteristic_two_field, |
976 | "010000000000000000000000000000000000000000000000000000010000000000000" | |
977 | "B", | |
978 | "91A091F03B5FBA4AB2CCF49C4EDD220FB028712D42BE752B2C40094DBACDB586FB20", | |
979 | "7167EFC92BB2E3CE7C8AAAFF34E12A9C557003D7C73A6FAF003F99F6CC8482E540F7", | |
980 | "6108BABB2CEEBCF787058A056CBE0CFE622D7723A289E08A07AE13EF0D10D171DD8D", | |
981 | "10C7695716851EEF6BA7F6872E6142FBD241B830FF5EFCACECCAB05E02005DDE9D23", | |
982 | "000100FAF51354E0E39E4892DF6E319C72C8161603FA45AA7B998A167B8F1E629521", | |
983 | 0xFF06, | |
984 | NULL, 0, | |
985 | "X9.62 curve over a 272 bit binary field" | |
986 | }; | |
7eb18f12 BM |
987 | |
988 | static const EC_CURVE_DATA _EC_X9_62_CHAR2_304W1 = { | |
40720ce3 MC |
989 | NID_X9_62_characteristic_two_field, |
990 | "010000000000000000000000000000000000000000000000000000000000000000000" | |
991 | "000000807", | |
992 | "FD0D693149A118F651E6DCE6802085377E5F882D1B510B44160074C1288078365A039" | |
993 | "6C8E681", | |
994 | "BDDB97E555A50A908E43B01C798EA5DAA6788F1EA2794EFCF57166B8C14039601E558" | |
995 | "27340BE", | |
996 | "197B07845E9BE2D96ADB0F5F3C7F2CFFBD7A3EB8B6FEC35C7FD67F26DDF6285A644F7" | |
997 | "40A2614", | |
998 | "E19FBEB76E0DA171517ECF401B50289BF014103288527A9B416A105E80260B549FDC1" | |
999 | "B92C03B", | |
1000 | "000101D556572AABAC800101D556572AABAC8001022D5C91DD173F8FB561DA6899164" | |
1001 | "443051D", 0xFE2E, | |
1002 | NULL, 0, | |
1003 | "X9.62 curve over a 304 bit binary field" | |
1004 | }; | |
7eb18f12 BM |
1005 | |
1006 | static const unsigned char _EC_X9_62_CHAR2_359V1_SEED[] = { | |
40720ce3 MC |
1007 | 0x2B, 0x35, 0x49, 0x20, 0xB7, 0x24, 0xD6, 0x96, 0xE6, 0x76, |
1008 | 0x87, 0x56, 0x15, 0x17, 0x58, 0x5B, 0xA1, 0x33, 0x2D, 0xC6 | |
1009 | }; | |
1010 | ||
7eb18f12 | 1011 | static const EC_CURVE_DATA _EC_X9_62_CHAR2_359V1 = { |
40720ce3 MC |
1012 | NID_X9_62_characteristic_two_field, |
1013 | "800000000000000000000000000000000000000000000000000000000000000000000" | |
1014 | "000100000000000000001", | |
1015 | "5667676A654B20754F356EA92017D946567C46675556F19556A04616B567D223A5E05" | |
1016 | "656FB549016A96656A557", | |
1017 | "2472E2D0197C49363F1FE7F5B6DB075D52B6947D135D8CA445805D39BC34562608968" | |
1018 | "7742B6329E70680231988", | |
1019 | "3C258EF3047767E7EDE0F1FDAA79DAEE3841366A132E163ACED4ED2401DF9C6BDCDE9" | |
1020 | "8E8E707C07A2239B1B097", | |
1021 | "53D7E08529547048121E9C95F3791DD804963948F34FAE7BF44EA82365DC7868FE57E" | |
1022 | "4AE2DE211305A407104BD", | |
1023 | "01AF286BCA1AF286BCA1AF286BCA1AF286BCA1AF286BC9FB8F6B85C556892C20A7EB9" | |
1024 | "64FE7719E74F490758D3B", 0x4C, | |
1025 | _EC_X9_62_CHAR2_359V1_SEED, 20, | |
1026 | "X9.62 curve over a 359 bit binary field" | |
1027 | }; | |
7eb18f12 BM |
1028 | |
1029 | static const EC_CURVE_DATA _EC_X9_62_CHAR2_368W1 = { | |
40720ce3 MC |
1030 | NID_X9_62_characteristic_two_field, |
1031 | "010000000000000000000000000000000000000000000000000000000000000000000" | |
1032 | "0002000000000000000000007", | |
1033 | "E0D2EE25095206F5E2A4F9ED229F1F256E79A0E2B455970D8D0D865BD94778C576D62" | |
1034 | "F0AB7519CCD2A1A906AE30D", | |
1035 | "FC1217D4320A90452C760A58EDCD30C8DD069B3C34453837A34ED50CB54917E1C2112" | |
1036 | "D84D164F444F8F74786046A", | |
1037 | "1085E2755381DCCCE3C1557AFA10C2F0C0C2825646C5B34A394CBCFA8BC16B22E7E78" | |
1038 | "9E927BE216F02E1FB136A5F", | |
1039 | "7B3EB1BDDCBA62D5D8B2059B525797FC73822C59059C623A45FF3843CEE8F87CD1855" | |
1040 | "ADAA81E2A0750B80FDA2310", | |
1041 | "00010090512DA9AF72B08349D98A5DD4C7B0532ECA51CE03E2D10F3B7AC579BD87E90" | |
1042 | "9AE40A6F131E9CFCE5BD967", 0xFF70, | |
1043 | NULL, 0, | |
1044 | "X9.62 curve over a 368 bit binary field" | |
1045 | }; | |
7eb18f12 BM |
1046 | |
1047 | static const EC_CURVE_DATA _EC_X9_62_CHAR2_431R1 = { | |
40720ce3 MC |
1048 | NID_X9_62_characteristic_two_field, |
1049 | "800000000000000000000000000000000000000000000000000000000000000000000" | |
1050 | "000000001000000000000000000000000000001", | |
1051 | "1A827EF00DD6FC0E234CAF046C6A5D8A85395B236CC4AD2CF32A0CADBDC9DDF620B0E" | |
1052 | "B9906D0957F6C6FEACD615468DF104DE296CD8F", | |
1053 | "10D9B4A3D9047D8B154359ABFB1B7F5485B04CEB868237DDC9DEDA982A679A5A919B6" | |
1054 | "26D4E50A8DD731B107A9962381FB5D807BF2618", | |
1055 | "120FC05D3C67A99DE161D2F4092622FECA701BE4F50F4758714E8A87BBF2A658EF8C2" | |
1056 | "1E7C5EFE965361F6C2999C0C247B0DBD70CE6B7", | |
1057 | "20D0AF8903A96F8D5FA2C255745D3C451B302C9346D9B7E485E7BCE41F6B591F3E8F6" | |
1058 | "ADDCBB0BC4C2F947A7DE1A89B625D6A598B3760", | |
1059 | "0340340340340340340340340340340340340340340340340340340323C313FAB5058" | |
1060 | "9703B5EC68D3587FEC60D161CC149C1AD4A91", 0x2760, | |
1061 | NULL, 0, | |
1062 | "X9.62 curve over a 431 bit binary field" | |
1063 | }; | |
7eb18f12 BM |
1064 | |
1065 | static const EC_CURVE_DATA _EC_WTLS_1 = { | |
40720ce3 MC |
1066 | NID_X9_62_characteristic_two_field, |
1067 | "020000000000000000000000000201", | |
1068 | "1", | |
1069 | "1", | |
1070 | "01667979A40BA497E5D5C270780617", | |
1071 | "00F44B4AF1ECC2630E08785CEBCC15", | |
1072 | "00FFFFFFFFFFFFFFFDBF91AF6DEA73", 2, | |
1073 | NULL, 0, | |
1074 | "WTLS curve over a 113 bit binary field" | |
1075 | }; | |
7eb18f12 | 1076 | |
0d78bc33 | 1077 | /* IPSec curves */ |
40720ce3 MC |
1078 | /* |
1079 | * NOTE: The of curves over a extension field of non prime degree is not | |
1080 | * recommended (Weil-descent). As the group order is not a prime this curve | |
1081 | * is not suitable for ECDSA. | |
51487109 | 1082 | */ |
0d78bc33 | 1083 | static const EC_CURVE_DATA _EC_IPSEC_155_ID3 = { |
40720ce3 MC |
1084 | NID_X9_62_characteristic_two_field, |
1085 | "0800000000000000000000004000000000000001", | |
1086 | "0", | |
1087 | "07338f", | |
1088 | "7b", | |
1089 | "1c8", | |
1090 | "2AAAAAAAAAAAAAAAAAAC7F3C7881BD0868FA86C", 3, | |
1091 | NULL, 0, | |
1092 | "\n\tIPSec/IKE/Oakley curve #3 over a 155 bit binary field.\n" | |
1093 | "\tNot suitable for ECDSA.\n\tQuestionable extension field!" | |
1094 | }; | |
1095 | ||
1096 | /* | |
1097 | * NOTE: The of curves over a extension field of non prime degree is not | |
1098 | * recommended (Weil-descent). As the group order is not a prime this curve | |
1099 | * is not suitable for ECDSA. | |
51487109 | 1100 | */ |
0d78bc33 | 1101 | static const EC_CURVE_DATA _EC_IPSEC_185_ID4 = { |
40720ce3 MC |
1102 | NID_X9_62_characteristic_two_field, |
1103 | "020000000000000000000000000000200000000000000001", | |
1104 | "0", | |
1105 | "1ee9", | |
1106 | "18", | |
1107 | "0d", | |
1108 | "FFFFFFFFFFFFFFFFFFFFFFEDF97C44DB9F2420BAFCA75E", 2, | |
1109 | NULL, 0, | |
1110 | "\n\tIPSec/IKE/Oakley curve #4 over a 185 bit binary field.\n" | |
1111 | "\tNot suitable for ECDSA.\n\tQuestionable extension field!" | |
1112 | }; | |
0d78bc33 | 1113 | |
7eb18f12 | 1114 | typedef struct _ec_list_element_st { |
40720ce3 MC |
1115 | int nid; |
1116 | const EC_CURVE_DATA *data; | |
1117 | } ec_list_element; | |
7eb18f12 BM |
1118 | |
1119 | static const ec_list_element curve_list[] = { | |
40720ce3 MC |
1120 | /* prime field curves */ |
1121 | /* secg curves */ | |
1122 | {NID_secp112r1, &_EC_SECG_PRIME_112R1}, | |
1123 | {NID_secp112r2, &_EC_SECG_PRIME_112R2}, | |
1124 | {NID_secp128r1, &_EC_SECG_PRIME_128R1}, | |
1125 | {NID_secp128r2, &_EC_SECG_PRIME_128R2}, | |
1126 | {NID_secp160k1, &_EC_SECG_PRIME_160K1}, | |
1127 | {NID_secp160r1, &_EC_SECG_PRIME_160R1}, | |
1128 | {NID_secp160r2, &_EC_SECG_PRIME_160R2}, | |
1129 | /* SECG secp192r1 is the same as X9.62 prime192v1 and hence omitted */ | |
1130 | {NID_secp192k1, &_EC_SECG_PRIME_192K1}, | |
1131 | {NID_secp224k1, &_EC_SECG_PRIME_224K1}, | |
1132 | {NID_secp224r1, &_EC_NIST_PRIME_224}, | |
1133 | {NID_secp256k1, &_EC_SECG_PRIME_256K1}, | |
1134 | /* SECG secp256r1 is the same as X9.62 prime256v1 and hence omitted */ | |
1135 | {NID_secp384r1, &_EC_NIST_PRIME_384}, | |
1136 | {NID_secp521r1, &_EC_NIST_PRIME_521}, | |
1137 | /* X9.62 curves */ | |
1138 | {NID_X9_62_prime192v1, &_EC_NIST_PRIME_192}, | |
1139 | {NID_X9_62_prime192v2, &_EC_X9_62_PRIME_192V2}, | |
1140 | {NID_X9_62_prime192v3, &_EC_X9_62_PRIME_192V3}, | |
1141 | {NID_X9_62_prime239v1, &_EC_X9_62_PRIME_239V1}, | |
1142 | {NID_X9_62_prime239v2, &_EC_X9_62_PRIME_239V2}, | |
1143 | {NID_X9_62_prime239v3, &_EC_X9_62_PRIME_239V3}, | |
1144 | {NID_X9_62_prime256v1, &_EC_X9_62_PRIME_256V1}, | |
1145 | /* characteristic two field curves */ | |
1146 | /* NIST/SECG curves */ | |
1147 | {NID_sect113r1, &_EC_SECG_CHAR2_113R1}, | |
1148 | {NID_sect113r2, &_EC_SECG_CHAR2_113R2}, | |
1149 | {NID_sect131r1, &_EC_SECG_CHAR2_131R1}, | |
1150 | {NID_sect131r2, &_EC_SECG_CHAR2_131R2}, | |
1151 | {NID_sect163k1, &_EC_NIST_CHAR2_163K}, | |
1152 | {NID_sect163r1, &_EC_SECG_CHAR2_163R1}, | |
1153 | {NID_sect163r2, &_EC_NIST_CHAR2_163B}, | |
1154 | {NID_sect193r1, &_EC_SECG_CHAR2_193R1}, | |
1155 | {NID_sect193r2, &_EC_SECG_CHAR2_193R2}, | |
1156 | {NID_sect233k1, &_EC_NIST_CHAR2_233K}, | |
1157 | {NID_sect233r1, &_EC_NIST_CHAR2_233B}, | |
1158 | {NID_sect239k1, &_EC_SECG_CHAR2_239K1}, | |
1159 | {NID_sect283k1, &_EC_NIST_CHAR2_283K}, | |
1160 | {NID_sect283r1, &_EC_NIST_CHAR2_283B}, | |
1161 | {NID_sect409k1, &_EC_NIST_CHAR2_409K}, | |
1162 | {NID_sect409r1, &_EC_NIST_CHAR2_409B}, | |
1163 | {NID_sect571k1, &_EC_NIST_CHAR2_571K}, | |
1164 | {NID_sect571r1, &_EC_NIST_CHAR2_571B}, | |
1165 | /* X9.62 curves */ | |
1166 | {NID_X9_62_c2pnb163v1, &_EC_X9_62_CHAR2_163V1}, | |
1167 | {NID_X9_62_c2pnb163v2, &_EC_X9_62_CHAR2_163V2}, | |
1168 | {NID_X9_62_c2pnb163v3, &_EC_X9_62_CHAR2_163V3}, | |
1169 | {NID_X9_62_c2pnb176v1, &_EC_X9_62_CHAR2_176V1}, | |
1170 | {NID_X9_62_c2tnb191v1, &_EC_X9_62_CHAR2_191V1}, | |
1171 | {NID_X9_62_c2tnb191v2, &_EC_X9_62_CHAR2_191V2}, | |
1172 | {NID_X9_62_c2tnb191v3, &_EC_X9_62_CHAR2_191V3}, | |
1173 | {NID_X9_62_c2pnb208w1, &_EC_X9_62_CHAR2_208W1}, | |
1174 | {NID_X9_62_c2tnb239v1, &_EC_X9_62_CHAR2_239V1}, | |
1175 | {NID_X9_62_c2tnb239v2, &_EC_X9_62_CHAR2_239V2}, | |
1176 | {NID_X9_62_c2tnb239v3, &_EC_X9_62_CHAR2_239V3}, | |
1177 | {NID_X9_62_c2pnb272w1, &_EC_X9_62_CHAR2_272W1}, | |
1178 | {NID_X9_62_c2pnb304w1, &_EC_X9_62_CHAR2_304W1}, | |
1179 | {NID_X9_62_c2tnb359v1, &_EC_X9_62_CHAR2_359V1}, | |
1180 | {NID_X9_62_c2pnb368w1, &_EC_X9_62_CHAR2_368W1}, | |
1181 | {NID_X9_62_c2tnb431r1, &_EC_X9_62_CHAR2_431R1}, | |
1182 | /* | |
1183 | * the WAP/WTLS curves [unlike SECG, spec has its own OIDs for curves | |
1184 | * from X9.62] | |
1185 | */ | |
1186 | {NID_wap_wsg_idm_ecid_wtls1, &_EC_WTLS_1}, | |
1187 | {NID_wap_wsg_idm_ecid_wtls3, &_EC_NIST_CHAR2_163K}, | |
1188 | {NID_wap_wsg_idm_ecid_wtls4, &_EC_SECG_CHAR2_113R1}, | |
1189 | {NID_wap_wsg_idm_ecid_wtls5, &_EC_X9_62_CHAR2_163V1}, | |
1190 | {NID_wap_wsg_idm_ecid_wtls6, &_EC_SECG_PRIME_112R1}, | |
1191 | {NID_wap_wsg_idm_ecid_wtls7, &_EC_SECG_PRIME_160R2}, | |
1192 | {NID_wap_wsg_idm_ecid_wtls8, &_EC_WTLS_8}, | |
1193 | {NID_wap_wsg_idm_ecid_wtls9, &_EC_WTLS_9}, | |
1194 | {NID_wap_wsg_idm_ecid_wtls10, &_EC_NIST_CHAR2_233K}, | |
1195 | {NID_wap_wsg_idm_ecid_wtls11, &_EC_NIST_CHAR2_233B}, | |
1196 | {NID_wap_wsg_idm_ecid_wtls12, &_EC_WTLS_12}, | |
1197 | /* IPSec curves */ | |
1198 | {NID_ipsec3, &_EC_IPSEC_155_ID3}, | |
1199 | {NID_ipsec4, &_EC_IPSEC_185_ID4}, | |
1200 | }; | |
1201 | ||
1202 | static size_t curve_list_length = | |
1203 | sizeof(curve_list) / sizeof(ec_list_element); | |
1204 | ||
1205 | static EC_GROUP *ec_group_new_from_data(const EC_CURVE_DATA * data) | |
1206 | { | |
1207 | EC_GROUP *group = NULL; | |
1208 | EC_POINT *P = NULL; | |
1209 | BN_CTX *ctx = NULL; | |
1210 | BIGNUM *p = NULL, *a = NULL, *b = NULL, *x = NULL, *y = NULL, *order = | |
1211 | NULL; | |
1212 | int ok = 0; | |
1213 | ||
1214 | if ((ctx = BN_CTX_new()) == NULL) { | |
1215 | ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_MALLOC_FAILURE); | |
1216 | goto err; | |
1217 | } | |
1218 | if ((p = BN_new()) == NULL || (a = BN_new()) == NULL || | |
1219 | (b = BN_new()) == NULL || (x = BN_new()) == NULL || | |
1220 | (y = BN_new()) == NULL || (order = BN_new()) == NULL) { | |
1221 | ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_MALLOC_FAILURE); | |
1222 | goto err; | |
1223 | } | |
1224 | ||
1225 | if (!BN_hex2bn(&p, data->p) || !BN_hex2bn(&a, data->a) | |
1226 | || !BN_hex2bn(&b, data->b)) { | |
1227 | ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_BN_LIB); | |
1228 | goto err; | |
1229 | } | |
1230 | ||
1231 | if (data->field_type == NID_X9_62_prime_field) { | |
1232 | if ((group = EC_GROUP_new_curve_GFp(p, a, b, ctx)) == NULL) { | |
1233 | ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_EC_LIB); | |
1234 | goto err; | |
1235 | } | |
1236 | } else { /* field_type == | |
1237 | * NID_X9_62_characteristic_two_field */ | |
1238 | if ((group = EC_GROUP_new_curve_GF2m(p, a, b, ctx)) == NULL) { | |
1239 | ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_EC_LIB); | |
1240 | goto err; | |
1241 | } | |
1242 | } | |
1243 | ||
1244 | if ((P = EC_POINT_new(group)) == NULL) { | |
1245 | ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_EC_LIB); | |
1246 | goto err; | |
1247 | } | |
1248 | ||
1249 | if (!BN_hex2bn(&x, data->x) || !BN_hex2bn(&y, data->y)) { | |
1250 | ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_BN_LIB); | |
1251 | goto err; | |
1252 | } | |
1253 | if (!EC_POINT_set_affine_coordinates_GF2m(group, P, x, y, ctx)) { | |
1254 | ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_EC_LIB); | |
1255 | goto err; | |
1256 | } | |
1257 | if (!BN_hex2bn(&order, data->order) || !BN_set_word(x, data->cofactor)) { | |
1258 | ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_BN_LIB); | |
1259 | goto err; | |
1260 | } | |
1261 | if (!EC_GROUP_set_generator(group, P, order, x)) { | |
1262 | ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_EC_LIB); | |
1263 | goto err; | |
1264 | } | |
1265 | if (data->seed) { | |
1266 | if (!EC_GROUP_set_seed(group, data->seed, data->seed_len)) { | |
1267 | ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_EC_LIB); | |
1268 | goto err; | |
1269 | } | |
1270 | } | |
1271 | ok = 1; | |
1272 | err: | |
1273 | if (!ok) { | |
1274 | EC_GROUP_free(group); | |
1275 | group = NULL; | |
1276 | } | |
1277 | if (P) | |
1278 | EC_POINT_free(P); | |
1279 | if (ctx) | |
1280 | BN_CTX_free(ctx); | |
1281 | if (p) | |
1282 | BN_free(p); | |
1283 | if (a) | |
1284 | BN_free(a); | |
1285 | if (b) | |
1286 | BN_free(b); | |
1287 | if (order) | |
1288 | BN_free(order); | |
1289 | if (x) | |
1290 | BN_free(x); | |
1291 | if (y) | |
1292 | BN_free(y); | |
1293 | return group; | |
1294 | } | |
7793f30e | 1295 | |
8b15c740 | 1296 | EC_GROUP *EC_GROUP_new_by_curve_name(int nid) |
40720ce3 MC |
1297 | { |
1298 | size_t i; | |
1299 | EC_GROUP *ret = NULL; | |
7eb18f12 | 1300 | |
40720ce3 MC |
1301 | if (nid <= 0) |
1302 | return NULL; | |
945e15a2 | 1303 | |
40720ce3 MC |
1304 | for (i = 0; i < curve_list_length; i++) |
1305 | if (curve_list[i].nid == nid) { | |
1306 | ret = ec_group_new_from_data(curve_list[i].data); | |
1307 | break; | |
1308 | } | |
60d8bae3 | 1309 | |
40720ce3 MC |
1310 | if (ret == NULL) { |
1311 | ECerr(EC_F_EC_GROUP_NEW_BY_CURVE_NAME, EC_R_UNKNOWN_GROUP); | |
1312 | return NULL; | |
1313 | } | |
7eb18f12 | 1314 | |
40720ce3 | 1315 | EC_GROUP_set_curve_name(ret, nid); |
7eb18f12 | 1316 | |
40720ce3 MC |
1317 | return ret; |
1318 | } | |
60d8bae3 | 1319 | |
65b1d31d | 1320 | size_t EC_get_builtin_curves(EC_builtin_curve *r, size_t nitems) |
40720ce3 MC |
1321 | { |
1322 | size_t i, min; | |
60d8bae3 | 1323 | |
40720ce3 MC |
1324 | if (r == NULL || nitems == 0) |
1325 | return curve_list_length; | |
7eb18f12 | 1326 | |
40720ce3 | 1327 | min = nitems < curve_list_length ? nitems : curve_list_length; |
65b1d31d | 1328 | |
40720ce3 MC |
1329 | for (i = 0; i < min; i++) { |
1330 | r[i].nid = curve_list[i].nid; | |
1331 | r[i].comment = curve_list[i].data->comment; | |
1332 | } | |
65b1d31d | 1333 | |
40720ce3 MC |
1334 | return curve_list_length; |
1335 | } |