1 /* crypto/ec/ec_curve.c */
2 /* ====================================================================
3 * Copyright (c) 1998-2002 The OpenSSL Project. All rights reserved.
5 * Redistribution and use in source and binary forms, with or without
6 * modification, are permitted provided that the following conditions
9 * 1. Redistributions of source code must retain the above copyright
10 * notice, this list of conditions and the following disclaimer.
12 * 2. Redistributions in binary form must reproduce the above copyright
13 * notice, this list of conditions and the following disclaimer in
14 * the documentation and/or other materials provided with the
17 * 3. All advertising materials mentioning features or use of this
18 * software must display the following acknowledgment:
19 * "This product includes software developed by the OpenSSL Project
20 * for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
22 * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
23 * endorse or promote products derived from this software without
24 * prior written permission. For written permission, please contact
25 * openssl-core@openssl.org.
27 * 5. Products derived from this software may not be called "OpenSSL"
28 * nor may "OpenSSL" appear in their names without prior written
29 * permission of the OpenSSL Project.
31 * 6. Redistributions of any form whatsoever must retain the following
33 * "This product includes software developed by the OpenSSL Project
34 * for use in the OpenSSL Toolkit (http://www.openssl.org/)"
36 * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
37 * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
38 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
39 * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR
40 * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
41 * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
42 * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
43 * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
44 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
45 * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
46 * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
47 * OF THE POSSIBILITY OF SUCH DAMAGE.
48 * ====================================================================
50 * This product includes cryptographic software written by Eric Young
51 * (eay@cryptsoft.com). This product includes software written by Tim
52 * Hudson (tjh@cryptsoft.com).
57 #include <openssl/err.h>
58 #include <openssl/obj_mac.h>
59 #include <openssl/asn1.h>
60 #include <openssl/asn1t.h>
62 static EC_GROUP *ec_group_new_GFp_from_hex(const char *prime_in,
63 const char *a_in, const char *b_in,
64 const char *x_in, const int y_bit, const char *order_in)
69 BIGNUM *prime=NULL,*a=NULL,*b=NULL,*x=NULL,*order=NULL;
72 if ((ctx = BN_CTX_new()) == NULL) goto bn_err;
73 if ((prime = BN_new()) == NULL || (a = BN_new()) == NULL || (b = BN_new()) == NULL ||
74 (x = BN_new()) == NULL || (order = BN_new()) == NULL) goto bn_err;
76 if (!BN_hex2bn(&prime, prime_in)) goto bn_err;
77 if (!BN_hex2bn(&a, a_in)) goto bn_err;
78 if (!BN_hex2bn(&b, b_in)) goto bn_err;
80 if ((group = EC_GROUP_new_curve_GFp(prime, a, b, ctx)) == NULL) goto err;
81 if ((P = EC_POINT_new(group)) == NULL) goto err;
83 if (!BN_hex2bn(&x, x_in)) goto bn_err;
84 if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, y_bit, ctx)) goto err;
85 if (!BN_hex2bn(&order, order_in)) goto bn_err;
86 if (!EC_GROUP_set_generator(group, P, order, BN_value_one())) goto err;
90 ECerr(EC_F_EC_GROUP_NEW_GFP_FROM_HEX, ERR_R_BN_LIB);
97 if (P) EC_POINT_free(P);
98 if (ctx) BN_CTX_free(ctx);
99 if (prime) BN_free(prime);
102 if (order) BN_free(order);
107 EC_GROUP *EC_GROUP_new_by_name(int name)
109 EC_GROUP *ret = NULL;
112 case EC_GROUP_NO_CURVE:
115 case EC_GROUP_NIST_PRIME_224:
116 return ec_group_new_GFp_from_hex(
117 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001",
118 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE",
119 "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4",
120 "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21",0,
121 "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D");
123 case EC_GROUP_NIST_PRIME_384:
124 return ec_group_new_GFp_from_hex(
125 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFF",
126 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFC",
127 "B3312FA7E23EE7E4988E056BE3F82D19181D9C6EFE8141120314088F5013875AC656398D8A2ED19D2A85C8EDD3EC2AEF",
128 "AA87CA22BE8B05378EB1C71EF320AD746E1D3B628BA79B9859F741E082542A385502F25DBF55296C3A545E3872760AB7",1,
129 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC7634D81F4372DDF581A0DB248B0A77AECEC196ACCC52973");
131 case EC_GROUP_NIST_PRIME_521:
132 return ec_group_new_GFp_from_hex(
133 "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
134 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
135 "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
136 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC",
137 "051953EB9618E1C9A1F929A21A0B68540EEA2DA725B99B"
138 "315F3B8B489918EF109E156193951EC7E937B1652C0BD3BB1BF073573DF883D2C34F1EF451FD46B503F00",
139 "C6858E06B70404E9CD9E3ECB662395B4429C648139053F"
140 "B521F828AF606B4D3DBAA14B5E77EFE75928FE1DC127A2FFA8DE3348B3C1856A429BF97E7E31C2E5BD66",0,
141 "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
142 "FFFFFFFFFFFFFFFFFFFFA51868783BF2F966B7FCC0148F709A5D03BB5C9B8899C47AEBB6FB71E91386409");
144 case EC_GROUP_NIST_PRIME_192:
145 case EC_GROUP_X9_62_PRIME_192V1:
146 ret = ec_group_new_GFp_from_hex(
147 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF",
148 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC",
149 "64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1",
150 "188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF1012",1,
151 "FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831");
152 EC_GROUP_set_nid(ret, NID_X9_62_prime192v1);
155 case EC_GROUP_X9_62_PRIME_192V2:
156 ret = ec_group_new_GFp_from_hex(
157 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF",
158 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC",
159 "CC22D6DFB95C6B25E49C0D6364A4E5980C393AA21668D953",
160 "EEA2BAE7E1497842F2DE7769CFE9C989C072AD696F48034A",1,
161 "FFFFFFFFFFFFFFFFFFFFFFFE5FB1A724DC80418648D8DD31");
162 EC_GROUP_set_nid(ret, NID_X9_62_prime192v2);
165 case EC_GROUP_X9_62_PRIME_192V3:
166 ret = ec_group_new_GFp_from_hex(
167 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF",
168 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC",
169 "22123DC2395A05CAA7423DAECCC94760A7D462256BD56916",
170 "7D29778100C65A1DA1783716588DCE2B8B4AEE8E228F1896",0,
171 "FFFFFFFFFFFFFFFFFFFFFFFF7A62D031C83F4294F640EC13");
172 EC_GROUP_set_nid(ret, NID_X9_62_prime192v3);
175 case EC_GROUP_X9_62_PRIME_239V1:
176 ret = ec_group_new_GFp_from_hex(
177 "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFF",
178 "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFC",
179 "6B016C3BDCF18941D0D654921475CA71A9DB2FB27D1D37796185C2942C0A",
180 "0FFA963CDCA8816CCC33B8642BEDF905C3D358573D3F27FBBD3B3CB9AAAF",0,
181 "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFF9E5E9A9F5D9071FBD1522688909D0B");
182 EC_GROUP_set_nid(ret, NID_X9_62_prime239v1);
185 case EC_GROUP_X9_62_PRIME_239V2:
186 ret = ec_group_new_GFp_from_hex(
187 "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFF",
188 "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFC",
189 "617FAB6832576CBBFED50D99F0249C3FEE58B94BA0038C7AE84C8C832F2C",
190 "38AF09D98727705120C921BB5E9E26296A3CDCF2F35757A0EAFD87B830E7",0,
191 "7FFFFFFFFFFFFFFFFFFFFFFF800000CFA7E8594377D414C03821BC582063");
192 EC_GROUP_set_nid(ret, NID_X9_62_prime239v2);
195 case EC_GROUP_X9_62_PRIME_239V3:
196 ret = ec_group_new_GFp_from_hex(
197 "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFF",
198 "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFC",
199 "255705FA2A306654B1F4CB03D6A750A30C250102D4988717D9BA15AB6D3E",
200 "6768AE8E18BB92CFCF005C949AA2C6D94853D0E660BBF854B1C9505FE95A",1,
201 "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFF975DEB41B3A6057C3C432146526551");
202 EC_GROUP_set_nid(ret, NID_X9_62_prime239v3);
205 case EC_GROUP_NIST_PRIME_256:
206 case EC_GROUP_X9_62_PRIME_256V1:
207 ret = ec_group_new_GFp_from_hex(
208 "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF",
209 "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC",
210 "5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B",
211 "6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296",1,
212 "FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E84F3B9CAC2FC632551");
213 EC_GROUP_set_nid(ret, NID_X9_62_prime256v1);
217 ECerr(EC_F_EC_GROUP_NEW_BY_NAME, EC_R_UNKNOWN_GROUP);
222 EC_GROUP *EC_GROUP_new_by_nid(const int nid)
226 case NID_X9_62_prime192v1:
227 return EC_GROUP_new_by_name(EC_GROUP_X9_62_PRIME_192V1);
228 case NID_X9_62_prime192v2:
229 return EC_GROUP_new_by_name(EC_GROUP_X9_62_PRIME_192V2);
230 case NID_X9_62_prime192v3:
231 return EC_GROUP_new_by_name(EC_GROUP_X9_62_PRIME_192V3);
232 case NID_X9_62_prime239v1:
233 return EC_GROUP_new_by_name(EC_GROUP_X9_62_PRIME_239V1);
234 case NID_X9_62_prime239v2:
235 return EC_GROUP_new_by_name(EC_GROUP_X9_62_PRIME_239V2);
236 case NID_X9_62_prime239v3:
237 return EC_GROUP_new_by_name(EC_GROUP_X9_62_PRIME_239V3);
238 case NID_X9_62_prime256v1:
239 return EC_GROUP_new_by_name(EC_GROUP_X9_62_PRIME_256V1);
241 ECerr(EC_F_EC_GROUP_NEW_BY_NID, EC_R_UNKNOWN_NID);
247 int EC_GROUP_group2nid(const EC_GROUP *group)
249 return EC_GROUP_get_nid(group);
252 /* TODO: a real compare function for EC_GROUPs */
253 #define EC_GROUP_cmp(a,b) ((a) != (b))
257 ECerr(EC_F_EC_GROUP_GROUP2NID, EC_R_MISSING_PARAMETERS);
260 if (!EC_GROUP_cmp(group, EC_GROUP_GET_X9_62_192V1_GROUP()))
261 return NID_X9_62_prime192v1;
262 else if (!EC_GROUP_cmp(group, EC_GROUP_get_x9_62_192v2_group()))
263 return NID_X9_62_prime192v2;
264 else if (!EC_GROUP_cmp(group, EC_GROUP_get_x9_62_192v3_group()))
265 return NID_X9_62_prime192v3;
266 else if (!EC_GROUP_cmp(group, EC_GROUP_get_x9_62_239v1_group()))
267 return NID_X9_62_prime239v1;
268 else if (!EC_GROUP_cmp(group, EC_GROUP_get_x9_62_239v2_group()))
269 return NID_X9_62_prime239v2;
270 else if (!EC_GROUP_cmp(group, EC_GROUP_get_x9_62_239v3_group()))
271 return NID_X9_62_prime239v3;
272 else if (!EC_GROUP_cmp(group, EC_GROUP_get_x9_62_256v1_group()))
273 return NID_X9_62_prime256v1;
274 ECerr(EC_F_EC_GROUP_GROUP2NID, EC_R_UNKNOWN_GROUP);