/* crypto/ec/ec_curve.c */ /* ==================================================================== * Copyright (c) 1998-2002 The OpenSSL Project. All rights reserved. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions * are met: * * 1. Redistributions of source code must retain the above copyright * notice, this list of conditions and the following disclaimer. * * 2. Redistributions in binary form must reproduce the above copyright * notice, this list of conditions and the following disclaimer in * the documentation and/or other materials provided with the * distribution. * * 3. All advertising materials mentioning features or use of this * software must display the following acknowledgment: * "This product includes software developed by the OpenSSL Project * for use in the OpenSSL Toolkit. (http://www.openssl.org/)" * * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to * endorse or promote products derived from this software without * prior written permission. For written permission, please contact * openssl-core@openssl.org. * * 5. Products derived from this software may not be called "OpenSSL" * nor may "OpenSSL" appear in their names without prior written * permission of the OpenSSL Project. * * 6. Redistributions of any form whatsoever must retain the following * acknowledgment: * "This product includes software developed by the OpenSSL Project * for use in the OpenSSL Toolkit (http://www.openssl.org/)" * * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED * OF THE POSSIBILITY OF SUCH DAMAGE. * ==================================================================== * * This product includes cryptographic software written by Eric Young * (eay@cryptsoft.com). This product includes software written by Tim * Hudson (tjh@cryptsoft.com). * */ #include "ec_lcl.h" #include #include #include #include static EC_GROUP *ec_group_new_GFp_from_hex(const char *prime_in, const char *a_in, const char *b_in, const char *x_in, const int y_bit, const char *order_in) { EC_GROUP *group=NULL; EC_POINT *P=NULL; BN_CTX *ctx=NULL; BIGNUM *prime=NULL,*a=NULL,*b=NULL,*x=NULL,*order=NULL; int ok=0; if ((ctx = BN_CTX_new()) == NULL) goto bn_err; if ((prime = BN_new()) == NULL || (a = BN_new()) == NULL || (b = BN_new()) == NULL || (x = BN_new()) == NULL || (order = BN_new()) == NULL) goto bn_err; if (!BN_hex2bn(&prime, prime_in)) goto bn_err; if (!BN_hex2bn(&a, a_in)) goto bn_err; if (!BN_hex2bn(&b, b_in)) goto bn_err; if ((group = EC_GROUP_new_curve_GFp(prime, a, b, ctx)) == NULL) goto err; if ((P = EC_POINT_new(group)) == NULL) goto err; if (!BN_hex2bn(&x, x_in)) goto bn_err; if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, y_bit, ctx)) goto err; if (!BN_hex2bn(&order, order_in)) goto bn_err; if (!EC_GROUP_set_generator(group, P, order, BN_value_one())) goto err; ok=1; bn_err: if (!ok) ECerr(EC_F_EC_GROUP_NEW_GFP_FROM_HEX, ERR_R_BN_LIB); err: if (!ok) { EC_GROUP_free(group); group = NULL; } if (P) EC_POINT_free(P); if (ctx) BN_CTX_free(ctx); if (prime) BN_free(prime); if (a) BN_free(a); if (b) BN_free(b); if (order) BN_free(order); if (x) BN_free(x); return(group); } EC_GROUP *EC_GROUP_new_by_name(int name) { EC_GROUP *ret = NULL; switch (name) { case EC_GROUP_NO_CURVE: return NULL; case EC_GROUP_NIST_PRIME_224: return ec_group_new_GFp_from_hex( "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001", "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE", "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4", "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21",0, "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D"); case EC_GROUP_NIST_PRIME_384: return ec_group_new_GFp_from_hex( "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFF", "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFC", "B3312FA7E23EE7E4988E056BE3F82D19181D9C6EFE8141120314088F5013875AC656398D8A2ED19D2A85C8EDD3EC2AEF", "AA87CA22BE8B05378EB1C71EF320AD746E1D3B628BA79B9859F741E082542A385502F25DBF55296C3A545E3872760AB7",1, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC7634D81F4372DDF581A0DB248B0A77AECEC196ACCC52973"); case EC_GROUP_NIST_PRIME_521: return ec_group_new_GFp_from_hex( "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC", "051953EB9618E1C9A1F929A21A0B68540EEA2DA725B99B" "315F3B8B489918EF109E156193951EC7E937B1652C0BD3BB1BF073573DF883D2C34F1EF451FD46B503F00", "C6858E06B70404E9CD9E3ECB662395B4429C648139053F" "B521F828AF606B4D3DBAA14B5E77EFE75928FE1DC127A2FFA8DE3348B3C1856A429BF97E7E31C2E5BD66",0, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" "FFFFFFFFFFFFFFFFFFFFA51868783BF2F966B7FCC0148F709A5D03BB5C9B8899C47AEBB6FB71E91386409"); case EC_GROUP_NIST_PRIME_192: case EC_GROUP_X9_62_PRIME_192V1: ret = ec_group_new_GFp_from_hex( "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF", "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC", "64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1", "188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF1012",1, "FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831"); EC_GROUP_set_nid(ret, NID_X9_62_prime192v1); return ret; case EC_GROUP_X9_62_PRIME_192V2: ret = ec_group_new_GFp_from_hex( "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF", "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC", "CC22D6DFB95C6B25E49C0D6364A4E5980C393AA21668D953", "EEA2BAE7E1497842F2DE7769CFE9C989C072AD696F48034A",1, "FFFFFFFFFFFFFFFFFFFFFFFE5FB1A724DC80418648D8DD31"); EC_GROUP_set_nid(ret, NID_X9_62_prime192v2); return ret; case EC_GROUP_X9_62_PRIME_192V3: ret = ec_group_new_GFp_from_hex( "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF", "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC", "22123DC2395A05CAA7423DAECCC94760A7D462256BD56916", "7D29778100C65A1DA1783716588DCE2B8B4AEE8E228F1896",0, "FFFFFFFFFFFFFFFFFFFFFFFF7A62D031C83F4294F640EC13"); EC_GROUP_set_nid(ret, NID_X9_62_prime192v3); return ret; case EC_GROUP_X9_62_PRIME_239V1: ret = ec_group_new_GFp_from_hex( "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFF", "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFC", "6B016C3BDCF18941D0D654921475CA71A9DB2FB27D1D37796185C2942C0A", "0FFA963CDCA8816CCC33B8642BEDF905C3D358573D3F27FBBD3B3CB9AAAF",0, "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFF9E5E9A9F5D9071FBD1522688909D0B"); EC_GROUP_set_nid(ret, NID_X9_62_prime239v1); return ret; case EC_GROUP_X9_62_PRIME_239V2: ret = ec_group_new_GFp_from_hex( "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFF", "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFC", "617FAB6832576CBBFED50D99F0249C3FEE58B94BA0038C7AE84C8C832F2C", "38AF09D98727705120C921BB5E9E26296A3CDCF2F35757A0EAFD87B830E7",0, "7FFFFFFFFFFFFFFFFFFFFFFF800000CFA7E8594377D414C03821BC582063"); EC_GROUP_set_nid(ret, NID_X9_62_prime239v2); return ret; case EC_GROUP_X9_62_PRIME_239V3: ret = ec_group_new_GFp_from_hex( "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFF", "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFC", "255705FA2A306654B1F4CB03D6A750A30C250102D4988717D9BA15AB6D3E", "6768AE8E18BB92CFCF005C949AA2C6D94853D0E660BBF854B1C9505FE95A",1, "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFF975DEB41B3A6057C3C432146526551"); EC_GROUP_set_nid(ret, NID_X9_62_prime239v3); return ret; case EC_GROUP_NIST_PRIME_256: case EC_GROUP_X9_62_PRIME_256V1: ret = ec_group_new_GFp_from_hex( "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF", "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC", "5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B", "6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296",1, "FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E84F3B9CAC2FC632551"); EC_GROUP_set_nid(ret, NID_X9_62_prime256v1); return ret; } ECerr(EC_F_EC_GROUP_NEW_BY_NAME, EC_R_UNKNOWN_GROUP); return NULL; } EC_GROUP *EC_GROUP_new_by_nid(const int nid) { switch(nid) { case NID_X9_62_prime192v1: return EC_GROUP_new_by_name(EC_GROUP_X9_62_PRIME_192V1); case NID_X9_62_prime192v2: return EC_GROUP_new_by_name(EC_GROUP_X9_62_PRIME_192V2); case NID_X9_62_prime192v3: return EC_GROUP_new_by_name(EC_GROUP_X9_62_PRIME_192V3); case NID_X9_62_prime239v1: return EC_GROUP_new_by_name(EC_GROUP_X9_62_PRIME_239V1); case NID_X9_62_prime239v2: return EC_GROUP_new_by_name(EC_GROUP_X9_62_PRIME_239V2); case NID_X9_62_prime239v3: return EC_GROUP_new_by_name(EC_GROUP_X9_62_PRIME_239V3); case NID_X9_62_prime256v1: return EC_GROUP_new_by_name(EC_GROUP_X9_62_PRIME_256V1); } ECerr(EC_F_EC_GROUP_NEW_BY_NID, EC_R_UNKNOWN_NID); return NULL; } #if 0 int EC_GROUP_group2nid(const EC_GROUP *group) { return EC_GROUP_get_nid(group); #if 0 /* TODO: a real compare function for EC_GROUPs */ #define EC_GROUP_cmp(a,b) ((a) != (b)) if (group == NULL) { ECerr(EC_F_EC_GROUP_GROUP2NID, EC_R_MISSING_PARAMETERS); return 0; } if (!EC_GROUP_cmp(group, EC_GROUP_GET_X9_62_192V1_GROUP())) return NID_X9_62_prime192v1; else if (!EC_GROUP_cmp(group, EC_GROUP_get_x9_62_192v2_group())) return NID_X9_62_prime192v2; else if (!EC_GROUP_cmp(group, EC_GROUP_get_x9_62_192v3_group())) return NID_X9_62_prime192v3; else if (!EC_GROUP_cmp(group, EC_GROUP_get_x9_62_239v1_group())) return NID_X9_62_prime239v1; else if (!EC_GROUP_cmp(group, EC_GROUP_get_x9_62_239v2_group())) return NID_X9_62_prime239v2; else if (!EC_GROUP_cmp(group, EC_GROUP_get_x9_62_239v3_group())) return NID_X9_62_prime239v3; else if (!EC_GROUP_cmp(group, EC_GROUP_get_x9_62_256v1_group())) return NID_X9_62_prime256v1; ECerr(EC_F_EC_GROUP_GROUP2NID, EC_R_UNKNOWN_GROUP); return 0; #endif } #endif