EC curve stuff
[openssl.git] / crypto / ec / ec_curve.c
index a1388b472fa56cec1945099dbf2a479638a9efa3..8e1f038c3d0de313dbb6403d60ca815ab9d5f0c0 100644 (file)
 #include <openssl/asn1.h>
 #include <openssl/asn1t.h>
 
+/* #define _EC_GROUP_EXAMPLE_PRIME_CURVE       \
+ *             "the prime number p", "a", "b", "the compressed base point", "y-bit", "order", "cofacor"
+ */
+/* the nist prime curves */
+#define _EC_GROUP_NIST_PRIME_192       \
+               "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF",\
+               "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC",\
+               "64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1",\
+               "188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF1012",1,\
+               "FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831",1
+#define _EC_GROUP_NIST_PRIME_224       \
+               "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001",\
+               "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE",\
+               "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4",\
+               "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21",0,\
+               "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D",1
+#define _EC_GROUP_NIST_PRIME_384       \
+               "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFF",\
+               "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFC",\
+               "B3312FA7E23EE7E4988E056BE3F82D19181D9C6EFE8141120314088F5013875AC656398D8A2ED19D2A85C8EDD3EC2AEF",\
+               "AA87CA22BE8B05378EB1C71EF320AD746E1D3B628BA79B9859F741E082542A385502F25DBF55296C3A545E3872760AB7",1,\
+               "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC7634D81F4372DDF581A0DB248B0A77AECEC196ACCC52973",1
+#define _EC_GROUP_NIST_PRIME_521       \
+               "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"\
+               "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",\
+               "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"\
+               "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC",\
+               "051953EB9618E1C9A1F929A21A0B68540EEA2DA725B99B"\
+               "315F3B8B489918EF109E156193951EC7E937B1652C0BD3BB1BF073573DF883D2C34F1EF451FD46B503F00",\
+               "C6858E06B70404E9CD9E3ECB662395B4429C648139053F"\
+               "B521F828AF606B4D3DBAA14B5E77EFE75928FE1DC127A2FFA8DE3348B3C1856A429BF97E7E31C2E5BD66",0,\
+               "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"\
+               "FFFFFFFFFFFFFFFFFFFFA51868783BF2F966B7FCC0148F709A5D03BB5C9B8899C47AEBB6FB71E91386409",1
+/* the x9.62 prime curves (minus the nist prime curves) */
+#define _EC_GROUP_X9_62_PRIME_192V2    \
+               "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF",\
+               "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC",\
+               "CC22D6DFB95C6B25E49C0D6364A4E5980C393AA21668D953",\
+               "EEA2BAE7E1497842F2DE7769CFE9C989C072AD696F48034A",1,\
+               "FFFFFFFFFFFFFFFFFFFFFFFE5FB1A724DC80418648D8DD31",1
+#define _EC_GROUP_X9_62_PRIME_192V3    \
+               "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF",\
+               "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC",\
+               "22123DC2395A05CAA7423DAECCC94760A7D462256BD56916",\
+               "7D29778100C65A1DA1783716588DCE2B8B4AEE8E228F1896",0,\
+               "FFFFFFFFFFFFFFFFFFFFFFFF7A62D031C83F4294F640EC13",1
+#define _EC_GROUP_X9_62_PRIME_239V1    \
+               "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFF",\
+               "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFC",\
+               "6B016C3BDCF18941D0D654921475CA71A9DB2FB27D1D37796185C2942C0A",\
+               "0FFA963CDCA8816CCC33B8642BEDF905C3D358573D3F27FBBD3B3CB9AAAF",0,\
+               "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFF9E5E9A9F5D9071FBD1522688909D0B",1
+#define _EC_GROUP_X9_62_PRIME_239V2    \
+               "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFF",\
+               "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFC",\
+               "617FAB6832576CBBFED50D99F0249C3FEE58B94BA0038C7AE84C8C832F2C",\
+               "38AF09D98727705120C921BB5E9E26296A3CDCF2F35757A0EAFD87B830E7",0,\
+               "7FFFFFFFFFFFFFFFFFFFFFFF800000CFA7E8594377D414C03821BC582063",1
+#define _EC_GROUP_X9_62_PRIME_239V3    \
+               "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFF",\
+               "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFC",\
+               "255705FA2A306654B1F4CB03D6A750A30C250102D4988717D9BA15AB6D3E",\
+               "6768AE8E18BB92CFCF005C949AA2C6D94853D0E660BBF854B1C9505FE95A",1,\
+               "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFF975DEB41B3A6057C3C432146526551",1
+#define _EC_GROUP_X9_62_PRIME_256V1    \
+               "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF",\
+               "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC",\
+               "5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B",\
+               "6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296",1,\
+               "FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E84F3B9CAC2FC632551",1
+/* the secg prime curves (minus the nist and x9.62 prime curves) */
+#define _EC_GROUP_SECG_PRIME_112R1     \
+               "DB7C2ABF62E35E668076BEAD208B",\
+               "DB7C2ABF62E35E668076BEAD2088",\
+               "659EF8BA043916EEDE8911702B22",\
+               "09487239995A5EE76B55F9C2F098",0,\
+               "DB7C2ABF62E35E7628DFAC6561C5",1
+#define _EC_GROUP_SECG_PRIME_112R2     \
+               "DB7C2ABF62E35E668076BEAD208B",\
+               "6127C24C05F38A0AAAF65C0EF02C",\
+               "51DEF1815DB5ED74FCC34C85D709",\
+               "4BA30AB5E892B4E1649DD0928643",1,\
+               "36DF0AAFD8B8D7597CA10520D04B",4
+#define _EC_GROUP_SECG_PRIME_128R1     \
+               "FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFF",\
+               "FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFC",\
+               "E87579C11079F43DD824993C2CEE5ED3",\
+               "161FF7528B899B2D0C28607CA52C5B86",1,\
+               "FFFFFFFE0000000075A30D1B9038A115",1
+#define _EC_GROUP_SECG_PRIME_128R2     \
+               "FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFF",\
+               "D6031998D1B3BBFEBF59CC9BBFF9AEE1",\
+               "5EEEFCA380D02919DC2C6558BB6D8A5D",\
+               "7B6AA5D85E572983E6FB32A7CDEBC140",0,\
+               "3FFFFFFF7FFFFFFFBE0024720613B5A3",4
+#define _EC_GROUP_SECG_PRIME_160K1     \
+               "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC73",\
+               "0",\
+               "7",\
+               "3B4C382CE37AA192A4019E763036F4F5DD4D7EBB",0,\
+               "0100000000000000000001B8FA16DFAB9ACA16B6B3",1
+#define _EC_GROUP_SECG_PRIME_160R1     \
+               "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFF",\
+               "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFC",\
+               "1C97BEFC54BD7A8B65ACF89F81D4D4ADC565FA45",\
+               "4A96B5688EF573284664698968C38BB913CBFC82",0,\
+               "0100000000000000000001F4C8F927AED3CA752257",1
+#define _EC_GROUP_SECG_PRIME_160R2     \
+               "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC73",\
+               "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC70",\
+               "B4E134D3FB59EB8BAB57274904664D5AF50388BA",\
+               "52DCB034293A117E1F4FF11B30F7199D3144CE6D",0,\
+               "0100000000000000000000351EE786A818F3A1A16B",1
+#define _EC_GROUP_SECG_PRIME_192K1     \
+               "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFEE37",\
+               "0",\
+               "3",\
+               "DB4FF10EC057E9AE26B07D0280B7F4341DA5D1B1EAE06C7D",1,\
+               "FFFFFFFFFFFFFFFFFFFFFFFE26F2FC170F69466A74DEFD8D",1
+#define _EC_GROUP_SECG_PRIME_224K1     \
+               "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFE56D",\
+               "0",\
+               "5",\
+               "A1455B334DF099DF30FC28A169A467E9E47075A90F7E650EB6B7A45C",1,\
+               "010000000000000000000000000001DCE8D2EC6184CAF0A971769FB1F7",1
+#define _EC_GROUP_SECG_PRIME_256K1     \
+               "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFC2F",\
+               "0",\
+               "7",\
+               "79BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798",0,\
+               "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141",1
+
 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)
+           const char *x_in, const int y_bit, const char *order_in, const BN_ULONG cofac_in)
        {
        EC_GROUP *group=NULL;
        EC_POINT *P=NULL;
@@ -83,7 +215,8 @@ static EC_GROUP *ec_group_new_GFp_from_hex(const char *prime_in,
        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;
+       if (!BN_set_word(x, cofac_in)) goto bn_err;
+       if (!EC_GROUP_set_generator(group, P, order, x)) goto err;
        ok=1;
 bn_err:
        if (!ok)
@@ -111,168 +244,92 @@ EC_GROUP *EC_GROUP_new_by_name(int name)
                {
        case EC_GROUP_NO_CURVE:
                return NULL;
+       /* some nist curves */
+       case EC_GROUP_NIST_PRIME_224: /* EC_GROUP_NIST_PRIME_224 == EC_GROUP_SECG_PRIME_224R1 */
+               ret = ec_group_new_GFp_from_hex(_EC_GROUP_NIST_PRIME_224);
+               break;
 
-       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_384: /* EC_GROUP_NIST_PRIME_384 == EC_GROUP_SECG_PRIME_384R1 */
+               ret = ec_group_new_GFp_from_hex(_EC_GROUP_NIST_PRIME_384);
+               break;
 
-       case EC_GROUP_NIST_PRIME_192:
+       case EC_GROUP_NIST_PRIME_521: /* EC_GROUP_NIST_PRIME_521 == EC_GROUP_SECG_PRIME_521R1 */
+               ret = ec_group_new_GFp_from_hex(_EC_GROUP_NIST_PRIME_521);
+               break;
+       /* x9.62 prime curves */
+       case EC_GROUP_NIST_PRIME_192: /* EC_GROUP_NIST_PRIME_192 == EC_GROUP_SECG_PRIME_192R1 */
        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;
+               ret = ec_group_new_GFp_from_hex(_EC_GROUP_NIST_PRIME_192);
+               break;
 
        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;
+               ret = ec_group_new_GFp_from_hex(_EC_GROUP_X9_62_PRIME_192V2);
+               break;
 
        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;
+               ret = ec_group_new_GFp_from_hex(_EC_GROUP_X9_62_PRIME_192V3);
+               break;
 
        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;
+               ret = ec_group_new_GFp_from_hex(_EC_GROUP_X9_62_PRIME_239V1);
+               break;
 
        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;
+               ret = ec_group_new_GFp_from_hex(_EC_GROUP_X9_62_PRIME_239V2);
+               break;
 
        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;
+               ret = ec_group_new_GFp_from_hex(_EC_GROUP_X9_62_PRIME_239V3);
+               break;
 
-       case EC_GROUP_NIST_PRIME_256:
+       case EC_GROUP_NIST_PRIME_256: /* EC_GROUP_NIST_PRIME_256 == EC_GROUP_SECG_PRIME_256R1 */
        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;
-       }
-
+               ret = ec_group_new_GFp_from_hex(_EC_GROUP_X9_62_PRIME_256V1);
+               break;
+       /* the remaining secg curves */
+       case EC_GROUP_SECG_PRIME_112R1:
+               ret = ec_group_new_GFp_from_hex(_EC_GROUP_SECG_PRIME_112R1);
+               break;
+       case EC_GROUP_SECG_PRIME_112R2:
+               ret = ec_group_new_GFp_from_hex(_EC_GROUP_SECG_PRIME_112R2);
+               break;
+       case EC_GROUP_SECG_PRIME_128R1:
+               ret = ec_group_new_GFp_from_hex(_EC_GROUP_SECG_PRIME_128R1);
+               break;
+       case EC_GROUP_SECG_PRIME_128R2:
+               ret = ec_group_new_GFp_from_hex(_EC_GROUP_SECG_PRIME_128R2);
+               break;
+       case EC_GROUP_SECG_PRIME_160K1:
+               ret = ec_group_new_GFp_from_hex(_EC_GROUP_SECG_PRIME_160K1);
+               break;
+       case EC_GROUP_SECG_PRIME_160R1:
+               ret = ec_group_new_GFp_from_hex(_EC_GROUP_SECG_PRIME_160R1);
+               break;
+       case EC_GROUP_SECG_PRIME_160R2:
+               ret = ec_group_new_GFp_from_hex(_EC_GROUP_SECG_PRIME_160R2);
+               break;
+       case EC_GROUP_SECG_PRIME_192K1:
+               ret = ec_group_new_GFp_from_hex(_EC_GROUP_SECG_PRIME_192K1);
+               break;
+       case EC_GROUP_SECG_PRIME_224K1:
+               ret = ec_group_new_GFp_from_hex(_EC_GROUP_SECG_PRIME_224K1);
+               break;
+       case EC_GROUP_SECG_PRIME_256K1:
+               ret = ec_group_new_GFp_from_hex(_EC_GROUP_SECG_PRIME_256K1);
+               break;
 
-EC_GROUP *EC_GROUP_new_by_nid(const int nid)
-       {
-       switch(nid)
+               }
+       if (ret == NULL)
                {
-       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_NAME, EC_R_UNKNOWN_GROUP);
+               return NULL;
                }
-       ECerr(EC_F_EC_GROUP_NEW_BY_NID, EC_R_UNKNOWN_NID);
-       return NULL;
+       EC_GROUP_set_nid(ret, name);
+       return ret;
        }
 
 
-#if 0
-int EC_GROUP_group2nid(const EC_GROUP *group)
+EC_GROUP *EC_GROUP_new_by_nid(int nid)
        {
-       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
+       return EC_GROUP_new_by_name(nid);
        }
-#endif