Add support for DH 'modp' group parameters (RFC 3526)

Reviewed-by: Matt Caswell <matt@openssl.org>
(Merged from https://github.com/openssl/openssl/pull/10897)

1 files changed, 10 insertions, 410 deletions

diff --git a/crypto/bn/bn_const.c b/crypto/bn/bn_const.c
index 414ea2a6c8..d7c0084cc7 100644
--- a/crypto/bn/bn_const.c
+++ b/crypto/bn/bn_const.c
@@ -8,6 +8,10 @@
  */
 
 #include <openssl/bn.h>
+#include "crypto/bn_dh.h"
+
+#define COPY_BN(dst, src) (dst != NULL) ? BN_copy(dst, &src) : BN_dup(&src)
+
 
 /*-
  * "First Oakley Default Group" from RFC2409, section 6.1.
@@ -80,33 +84,7 @@ BIGNUM *BN_get_rfc2409_prime_1024(BIGNUM *bn)
 
 BIGNUM *BN_get_rfc3526_prime_1536(BIGNUM *bn)
 {
-    static const unsigned char RFC3526_PRIME_1536[] = {
-        0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
-        0xC9, 0x0F, 0xDA, 0xA2, 0x21, 0x68, 0xC2, 0x34,
-        0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1,
-        0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74,
-        0x02, 0x0B, 0xBE, 0xA6, 0x3B, 0x13, 0x9B, 0x22,
-        0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD,
-        0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B,
-        0x30, 0x2B, 0x0A, 0x6D, 0xF2, 0x5F, 0x14, 0x37,
-        0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45,
-        0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6,
-        0xF4, 0x4C, 0x42, 0xE9, 0xA6, 0x37, 0xED, 0x6B,
-        0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED,
-        0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5,
-        0xAE, 0x9F, 0x24, 0x11, 0x7C, 0x4B, 0x1F, 0xE6,
-        0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D,
-        0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05,
-        0x98, 0xDA, 0x48, 0x36, 0x1C, 0x55, 0xD3, 0x9A,
-        0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F,
-        0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96,
-        0x1C, 0x62, 0xF3, 0x56, 0x20, 0x85, 0x52, 0xBB,
-        0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D,
-        0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04,
-        0xF1, 0x74, 0x6C, 0x08, 0xCA, 0x23, 0x73, 0x27,
-        0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
-    };
-    return BN_bin2bn(RFC3526_PRIME_1536, sizeof(RFC3526_PRIME_1536), bn);
+    return COPY_BN(bn, _bignum_modp_1536_p);
 }
 
 /*-
@@ -119,41 +97,7 @@ BIGNUM *BN_get_rfc3526_prime_1536(BIGNUM *bn)
 
 BIGNUM *BN_get_rfc3526_prime_2048(BIGNUM *bn)
 {
-    static const unsigned char RFC3526_PRIME_2048[] = {
-        0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
-        0xC9, 0x0F, 0xDA, 0xA2, 0x21, 0x68, 0xC2, 0x34,
-        0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1,
-        0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74,
-        0x02, 0x0B, 0xBE, 0xA6, 0x3B, 0x13, 0x9B, 0x22,
-        0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD,
-        0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B,
-        0x30, 0x2B, 0x0A, 0x6D, 0xF2, 0x5F, 0x14, 0x37,
-        0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45,
-        0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6,
-        0xF4, 0x4C, 0x42, 0xE9, 0xA6, 0x37, 0xED, 0x6B,
-        0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED,
-        0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5,
-        0xAE, 0x9F, 0x24, 0x11, 0x7C, 0x4B, 0x1F, 0xE6,
-        0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D,
-        0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05,
-        0x98, 0xDA, 0x48, 0x36, 0x1C, 0x55, 0xD3, 0x9A,
-        0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F,
-        0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96,
-        0x1C, 0x62, 0xF3, 0x56, 0x20, 0x85, 0x52, 0xBB,
-        0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D,
-        0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04,
-        0xF1, 0x74, 0x6C, 0x08, 0xCA, 0x18, 0x21, 0x7C,
-        0x32, 0x90, 0x5E, 0x46, 0x2E, 0x36, 0xCE, 0x3B,
-        0xE3, 0x9E, 0x77, 0x2C, 0x18, 0x0E, 0x86, 0x03,
-        0x9B, 0x27, 0x83, 0xA2, 0xEC, 0x07, 0xA2, 0x8F,
-        0xB5, 0xC5, 0x5D, 0xF0, 0x6F, 0x4C, 0x52, 0xC9,
-        0xDE, 0x2B, 0xCB, 0xF6, 0x95, 0x58, 0x17, 0x18,
-        0x39, 0x95, 0x49, 0x7C, 0xEA, 0x95, 0x6A, 0xE5,
-        0x15, 0xD2, 0x26, 0x18, 0x98, 0xFA, 0x05, 0x10,
-        0x15, 0x72, 0x8E, 0x5A, 0x8A, 0xAC, 0xAA, 0x68,
-        0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
-    };
-    return BN_bin2bn(RFC3526_PRIME_2048, sizeof(RFC3526_PRIME_2048), bn);
+    return COPY_BN(bn, _bignum_modp_2048_p);
 }
 
 /*-
@@ -166,57 +110,7 @@ BIGNUM *BN_get_rfc3526_prime_2048(BIGNUM *bn)
 
 BIGNUM *BN_get_rfc3526_prime_3072(BIGNUM *bn)
 {
-    static const unsigned char RFC3526_PRIME_3072[] = {
-        0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
-        0xC9, 0x0F, 0xDA, 0xA2, 0x21, 0x68, 0xC2, 0x34,
-        0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1,
-        0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74,
-        0x02, 0x0B, 0xBE, 0xA6, 0x3B, 0x13, 0x9B, 0x22,
-        0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD,
-        0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B,
-        0x30, 0x2B, 0x0A, 0x6D, 0xF2, 0x5F, 0x14, 0x37,
-        0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45,
-        0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6,
-        0xF4, 0x4C, 0x42, 0xE9, 0xA6, 0x37, 0xED, 0x6B,
-        0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED,
-        0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5,
-        0xAE, 0x9F, 0x24, 0x11, 0x7C, 0x4B, 0x1F, 0xE6,
-        0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D,
-        0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05,
-        0x98, 0xDA, 0x48, 0x36, 0x1C, 0x55, 0xD3, 0x9A,
-        0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F,
-        0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96,
-        0x1C, 0x62, 0xF3, 0x56, 0x20, 0x85, 0x52, 0xBB,
-        0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D,
-        0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04,
-        0xF1, 0x74, 0x6C, 0x08, 0xCA, 0x18, 0x21, 0x7C,
-        0x32, 0x90, 0x5E, 0x46, 0x2E, 0x36, 0xCE, 0x3B,
-        0xE3, 0x9E, 0x77, 0x2C, 0x18, 0x0E, 0x86, 0x03,
-        0x9B, 0x27, 0x83, 0xA2, 0xEC, 0x07, 0xA2, 0x8F,
-        0xB5, 0xC5, 0x5D, 0xF0, 0x6F, 0x4C, 0x52, 0xC9,
-        0xDE, 0x2B, 0xCB, 0xF6, 0x95, 0x58, 0x17, 0x18,
-        0x39, 0x95, 0x49, 0x7C, 0xEA, 0x95, 0x6A, 0xE5,
-        0x15, 0xD2, 0x26, 0x18, 0x98, 0xFA, 0x05, 0x10,
-        0x15, 0x72, 0x8E, 0x5A, 0x8A, 0xAA, 0xC4, 0x2D,
-        0xAD, 0x33, 0x17, 0x0D, 0x04, 0x50, 0x7A, 0x33,
-        0xA8, 0x55, 0x21, 0xAB, 0xDF, 0x1C, 0xBA, 0x64,
-        0xEC, 0xFB, 0x85, 0x04, 0x58, 0xDB, 0xEF, 0x0A,
-        0x8A, 0xEA, 0x71, 0x57, 0x5D, 0x06, 0x0C, 0x7D,
-        0xB3, 0x97, 0x0F, 0x85, 0xA6, 0xE1, 0xE4, 0xC7,
-        0xAB, 0xF5, 0xAE, 0x8C, 0xDB, 0x09, 0x33, 0xD7,
-        0x1E, 0x8C, 0x94, 0xE0, 0x4A, 0x25, 0x61, 0x9D,
-        0xCE, 0xE3, 0xD2, 0x26, 0x1A, 0xD2, 0xEE, 0x6B,
-        0xF1, 0x2F, 0xFA, 0x06, 0xD9, 0x8A, 0x08, 0x64,
-        0xD8, 0x76, 0x02, 0x73, 0x3E, 0xC8, 0x6A, 0x64,
-        0x52, 0x1F, 0x2B, 0x18, 0x17, 0x7B, 0x20, 0x0C,
-        0xBB, 0xE1, 0x17, 0x57, 0x7A, 0x61, 0x5D, 0x6C,
-        0x77, 0x09, 0x88, 0xC0, 0xBA, 0xD9, 0x46, 0xE2,
-        0x08, 0xE2, 0x4F, 0xA0, 0x74, 0xE5, 0xAB, 0x31,
-        0x43, 0xDB, 0x5B, 0xFC, 0xE0, 0xFD, 0x10, 0x8E,
-        0x4B, 0x82, 0xD1, 0x20, 0xA9, 0x3A, 0xD2, 0xCA,
-        0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
-    };
-    return BN_bin2bn(RFC3526_PRIME_3072, sizeof(RFC3526_PRIME_3072), bn);
+    return COPY_BN(bn, _bignum_modp_3072_p);
 }
 
 /*-
@@ -229,73 +123,7 @@ BIGNUM *BN_get_rfc3526_prime_3072(BIGNUM *bn)
 
 BIGNUM *BN_get_rfc3526_prime_4096(BIGNUM *bn)
 {
-    static const unsigned char RFC3526_PRIME_4096[] = {
-        0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
-        0xC9, 0x0F, 0xDA, 0xA2, 0x21, 0x68, 0xC2, 0x34,
-        0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1,
-        0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74,
-        0x02, 0x0B, 0xBE, 0xA6, 0x3B, 0x13, 0x9B, 0x22,
-        0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD,
-        0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B,
-        0x30, 0x2B, 0x0A, 0x6D, 0xF2, 0x5F, 0x14, 0x37,
-        0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45,
-        0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6,
-        0xF4, 0x4C, 0x42, 0xE9, 0xA6, 0x37, 0xED, 0x6B,
-        0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED,
-        0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5,
-        0xAE, 0x9F, 0x24, 0x11, 0x7C, 0x4B, 0x1F, 0xE6,
-        0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D,
-        0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05,
-        0x98, 0xDA, 0x48, 0x36, 0x1C, 0x55, 0xD3, 0x9A,
-        0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F,
-        0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96,
-        0x1C, 0x62, 0xF3, 0x56, 0x20, 0x85, 0x52, 0xBB,
-        0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D,
-        0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04,
-        0xF1, 0x74, 0x6C, 0x08, 0xCA, 0x18, 0x21, 0x7C,
-        0x32, 0x90, 0x5E, 0x46, 0x2E, 0x36, 0xCE, 0x3B,
-        0xE3, 0x9E, 0x77, 0x2C, 0x18, 0x0E, 0x86, 0x03,
-        0x9B, 0x27, 0x83, 0xA2, 0xEC, 0x07, 0xA2, 0x8F,
-        0xB5, 0xC5, 0x5D, 0xF0, 0x6F, 0x4C, 0x52, 0xC9,
-        0xDE, 0x2B, 0xCB, 0xF6, 0x95, 0x58, 0x17, 0x18,
-        0x39, 0x95, 0x49, 0x7C, 0xEA, 0x95, 0x6A, 0xE5,
-        0x15, 0xD2, 0x26, 0x18, 0x98, 0xFA, 0x05, 0x10,
-        0x15, 0x72, 0x8E, 0x5A, 0x8A, 0xAA, 0xC4, 0x2D,
-        0xAD, 0x33, 0x17, 0x0D, 0x04, 0x50, 0x7A, 0x33,
-        0xA8, 0x55, 0x21, 0xAB, 0xDF, 0x1C, 0xBA, 0x64,
-        0xEC, 0xFB, 0x85, 0x04, 0x58, 0xDB, 0xEF, 0x0A,
-        0x8A, 0xEA, 0x71, 0x57, 0x5D, 0x06, 0x0C, 0x7D,
-        0xB3, 0x97, 0x0F, 0x85, 0xA6, 0xE1, 0xE4, 0xC7,
-        0xAB, 0xF5, 0xAE, 0x8C, 0xDB, 0x09, 0x33, 0xD7,
-        0x1E, 0x8C, 0x94, 0xE0, 0x4A, 0x25, 0x61, 0x9D,
-        0xCE, 0xE3, 0xD2, 0x26, 0x1A, 0xD2, 0xEE, 0x6B,
-        0xF1, 0x2F, 0xFA, 0x06, 0xD9, 0x8A, 0x08, 0x64,
-        0xD8, 0x76, 0x02, 0x73, 0x3E, 0xC8, 0x6A, 0x64,
-        0x52, 0x1F, 0x2B, 0x18, 0x17, 0x7B, 0x20, 0x0C,
-        0xBB, 0xE1, 0x17, 0x57, 0x7A, 0x61, 0x5D, 0x6C,
-        0x77, 0x09, 0x88, 0xC0, 0xBA, 0xD9, 0x46, 0xE2,
-        0x08, 0xE2, 0x4F, 0xA0, 0x74, 0xE5, 0xAB, 0x31,
-        0x43, 0xDB, 0x5B, 0xFC, 0xE0, 0xFD, 0x10, 0x8E,
-        0x4B, 0x82, 0xD1, 0x20, 0xA9, 0x21, 0x08, 0x01,
-        0x1A, 0x72, 0x3C, 0x12, 0xA7, 0x87, 0xE6, 0xD7,
-        0x88, 0x71, 0x9A, 0x10, 0xBD, 0xBA, 0x5B, 0x26,
-        0x99, 0xC3, 0x27, 0x18, 0x6A, 0xF4, 0xE2, 0x3C,
-        0x1A, 0x94, 0x68, 0x34, 0xB6, 0x15, 0x0B, 0xDA,
-        0x25, 0x83, 0xE9, 0xCA, 0x2A, 0xD4, 0x4C, 0xE8,
-        0xDB, 0xBB, 0xC2, 0xDB, 0x04, 0xDE, 0x8E, 0xF9,
-        0x2E, 0x8E, 0xFC, 0x14, 0x1F, 0xBE, 0xCA, 0xA6,
-        0x28, 0x7C, 0x59, 0x47, 0x4E, 0x6B, 0xC0, 0x5D,
-        0x99, 0xB2, 0x96, 0x4F, 0xA0, 0x90, 0xC3, 0xA2,
-        0x23, 0x3B, 0xA1, 0x86, 0x51, 0x5B, 0xE7, 0xED,
-        0x1F, 0x61, 0x29, 0x70, 0xCE, 0xE2, 0xD7, 0xAF,
-        0xB8, 0x1B, 0xDD, 0x76, 0x21, 0x70, 0x48, 0x1C,
-        0xD0, 0x06, 0x91, 0x27, 0xD5, 0xB0, 0x5A, 0xA9,
-        0x93, 0xB4, 0xEA, 0x98, 0x8D, 0x8F, 0xDD, 0xC1,
-        0x86, 0xFF, 0xB7, 0xDC, 0x90, 0xA6, 0xC0, 0x8F,
-        0x4D, 0xF4, 0x35, 0xC9, 0x34, 0x06, 0x31, 0x99,
-        0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
-    };
-    return BN_bin2bn(RFC3526_PRIME_4096, sizeof(RFC3526_PRIME_4096), bn);
+    return COPY_BN(bn, _bignum_modp_4096_p);
 }
 
 /*-
@@ -308,105 +136,7 @@ BIGNUM *BN_get_rfc3526_prime_4096(BIGNUM *bn)
 
 BIGNUM *BN_get_rfc3526_prime_6144(BIGNUM *bn)
 {
-    static const unsigned char RFC3526_PRIME_6144[] = {
-        0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
-        0xC9, 0x0F, 0xDA, 0xA2, 0x21, 0x68, 0xC2, 0x34,
-        0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1,
-        0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74,
-        0x02, 0x0B, 0xBE, 0xA6, 0x3B, 0x13, 0x9B, 0x22,
-        0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD,
-        0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B,
-        0x30, 0x2B, 0x0A, 0x6D, 0xF2, 0x5F, 0x14, 0x37,
-        0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45,
-        0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6,
-        0xF4, 0x4C, 0x42, 0xE9, 0xA6, 0x37, 0xED, 0x6B,
-        0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED,
-        0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5,
-        0xAE, 0x9F, 0x24, 0x11, 0x7C, 0x4B, 0x1F, 0xE6,
-        0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D,
-        0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05,
-        0x98, 0xDA, 0x48, 0x36, 0x1C, 0x55, 0xD3, 0x9A,
-        0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F,
-        0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96,
-        0x1C, 0x62, 0xF3, 0x56, 0x20, 0x85, 0x52, 0xBB,
-        0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D,
-        0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04,
-        0xF1, 0x74, 0x6C, 0x08, 0xCA, 0x18, 0x21, 0x7C,
-        0x32, 0x90, 0x5E, 0x46, 0x2E, 0x36, 0xCE, 0x3B,
-        0xE3, 0x9E, 0x77, 0x2C, 0x18, 0x0E, 0x86, 0x03,
-        0x9B, 0x27, 0x83, 0xA2, 0xEC, 0x07, 0xA2, 0x8F,
-        0xB5, 0xC5, 0x5D, 0xF0, 0x6F, 0x4C, 0x52, 0xC9,
-        0xDE, 0x2B, 0xCB, 0xF6, 0x95, 0x58, 0x17, 0x18,
-        0x39, 0x95, 0x49, 0x7C, 0xEA, 0x95, 0x6A, 0xE5,
-        0x15, 0xD2, 0x26, 0x18, 0x98, 0xFA, 0x05, 0x10,
-        0x15, 0x72, 0x8E, 0x5A, 0x8A, 0xAA, 0xC4, 0x2D,
-        0xAD, 0x33, 0x17, 0x0D, 0x04, 0x50, 0x7A, 0x33,
-        0xA8, 0x55, 0x21, 0xAB, 0xDF, 0x1C, 0xBA, 0x64,
-        0xEC, 0xFB, 0x85, 0x04, 0x58, 0xDB, 0xEF, 0x0A,
-        0x8A, 0xEA, 0x71, 0x57, 0x5D, 0x06, 0x0C, 0x7D,
-        0xB3, 0x97, 0x0F, 0x85, 0xA6, 0xE1, 0xE4, 0xC7,
-        0xAB, 0xF5, 0xAE, 0x8C, 0xDB, 0x09, 0x33, 0xD7,
-        0x1E, 0x8C, 0x94, 0xE0, 0x4A, 0x25, 0x61, 0x9D,
-        0xCE, 0xE3, 0xD2, 0x26, 0x1A, 0xD2, 0xEE, 0x6B,
-        0xF1, 0x2F, 0xFA, 0x06, 0xD9, 0x8A, 0x08, 0x64,
-        0xD8, 0x76, 0x02, 0x73, 0x3E, 0xC8, 0x6A, 0x64,
-        0x52, 0x1F, 0x2B, 0x18, 0x17, 0x7B, 0x20, 0x0C,
-        0xBB, 0xE1, 0x17, 0x57, 0x7A, 0x61, 0x5D, 0x6C,
-        0x77, 0x09, 0x88, 0xC0, 0xBA, 0xD9, 0x46, 0xE2,
-        0x08, 0xE2, 0x4F, 0xA0, 0x74, 0xE5, 0xAB, 0x31,
-        0x43, 0xDB, 0x5B, 0xFC, 0xE0, 0xFD, 0x10, 0x8E,
-        0x4B, 0x82, 0xD1, 0x20, 0xA9, 0x21, 0x08, 0x01,
-        0x1A, 0x72, 0x3C, 0x12, 0xA7, 0x87, 0xE6, 0xD7,
-        0x88, 0x71, 0x9A, 0x10, 0xBD, 0xBA, 0x5B, 0x26,
-        0x99, 0xC3, 0x27, 0x18, 0x6A, 0xF4, 0xE2, 0x3C,
-        0x1A, 0x94, 0x68, 0x34, 0xB6, 0x15, 0x0B, 0xDA,
-        0x25, 0x83, 0xE9, 0xCA, 0x2A, 0xD4, 0x4C, 0xE8,
-        0xDB, 0xBB, 0xC2, 0xDB, 0x04, 0xDE, 0x8E, 0xF9,
-        0x2E, 0x8E, 0xFC, 0x14, 0x1F, 0xBE, 0xCA, 0xA6,
-        0x28, 0x7C, 0x59, 0x47, 0x4E, 0x6B, 0xC0, 0x5D,
-        0x99, 0xB2, 0x96, 0x4F, 0xA0, 0x90, 0xC3, 0xA2,
-        0x23, 0x3B, 0xA1, 0x86, 0x51, 0x5B, 0xE7, 0xED,
-        0x1F, 0x61, 0x29, 0x70, 0xCE, 0xE2, 0xD7, 0xAF,
-        0xB8, 0x1B, 0xDD, 0x76, 0x21, 0x70, 0x48, 0x1C,
-        0xD0, 0x06, 0x91, 0x27, 0xD5, 0xB0, 0x5A, 0xA9,
-        0x93, 0xB4, 0xEA, 0x98, 0x8D, 0x8F, 0xDD, 0xC1,
-        0x86, 0xFF, 0xB7, 0xDC, 0x90, 0xA6, 0xC0, 0x8F,
-        0x4D, 0xF4, 0x35, 0xC9, 0x34, 0x02, 0x84, 0x92,
-        0x36, 0xC3, 0xFA, 0xB4, 0xD2, 0x7C, 0x70, 0x26,
-        0xC1, 0xD4, 0xDC, 0xB2, 0x60, 0x26, 0x46, 0xDE,
-        0xC9, 0x75, 0x1E, 0x76, 0x3D, 0xBA, 0x37, 0xBD,
-        0xF8, 0xFF, 0x94, 0x06, 0xAD, 0x9E, 0x53, 0x0E,
-        0xE5, 0xDB, 0x38, 0x2F, 0x41, 0x30, 0x01, 0xAE,
-        0xB0, 0x6A, 0x53, 0xED, 0x90, 0x27, 0xD8, 0x31,
-        0x17, 0x97, 0x27, 0xB0, 0x86, 0x5A, 0x89, 0x18,
-        0xDA, 0x3E, 0xDB, 0xEB, 0xCF, 0x9B, 0x14, 0xED,
-        0x44, 0xCE, 0x6C, 0xBA, 0xCE, 0xD4, 0xBB, 0x1B,
-        0xDB, 0x7F, 0x14, 0x47, 0xE6, 0xCC, 0x25, 0x4B,
-        0x33, 0x20, 0x51, 0x51, 0x2B, 0xD7, 0xAF, 0x42,
-        0x6F, 0xB8, 0xF4, 0x01, 0x37, 0x8C, 0xD2, 0xBF,
-        0x59, 0x83, 0xCA, 0x01, 0xC6, 0x4B, 0x92, 0xEC,
-        0xF0, 0x32, 0xEA, 0x15, 0xD1, 0x72, 0x1D, 0x03,
-        0xF4, 0x82, 0xD7, 0xCE, 0x6E, 0x74, 0xFE, 0xF6,
-        0xD5, 0x5E, 0x70, 0x2F, 0x46, 0x98, 0x0C, 0x82,
-        0xB5, 0xA8, 0x40, 0x31, 0x90, 0x0B, 0x1C, 0x9E,
-        0x59, 0xE7, 0xC9, 0x7F, 0xBE, 0xC7, 0xE8, 0xF3,
-        0x23, 0xA9, 0x7A, 0x7E, 0x36, 0xCC, 0x88, 0xBE,
-        0x0F, 0x1D, 0x45, 0xB7, 0xFF, 0x58, 0x5A, 0xC5,
-        0x4B, 0xD4, 0x07, 0xB2, 0x2B, 0x41, 0x54, 0xAA,
-        0xCC, 0x8F, 0x6D, 0x7E, 0xBF, 0x48, 0xE1, 0xD8,
-        0x14, 0xCC, 0x5E, 0xD2, 0x0F, 0x80, 0x37, 0xE0,
-        0xA7, 0x97, 0x15, 0xEE, 0xF2, 0x9B, 0xE3, 0x28,
-        0x06, 0xA1, 0xD5, 0x8B, 0xB7, 0xC5, 0xDA, 0x76,
-        0xF5, 0x50, 0xAA, 0x3D, 0x8A, 0x1F, 0xBF, 0xF0,
-        0xEB, 0x19, 0xCC, 0xB1, 0xA3, 0x13, 0xD5, 0x5C,
-        0xDA, 0x56, 0xC9, 0xEC, 0x2E, 0xF2, 0x96, 0x32,
-        0x38, 0x7F, 0xE8, 0xD7, 0x6E, 0x3C, 0x04, 0x68,
-        0x04, 0x3E, 0x8F, 0x66, 0x3F, 0x48, 0x60, 0xEE,
-        0x12, 0xBF, 0x2D, 0x5B, 0x0B, 0x74, 0x74, 0xD6,
-        0xE6, 0x94, 0xF9, 0x1E, 0x6D, 0xCC, 0x40, 0x24,
-        0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
-    };
-    return BN_bin2bn(RFC3526_PRIME_6144, sizeof(RFC3526_PRIME_6144), bn);
+    return COPY_BN(bn, _bignum_modp_6144_p);
 }
 
 /*-
@@ -419,135 +149,5 @@ BIGNUM *BN_get_rfc3526_prime_6144(BIGNUM *bn)
 
 BIGNUM *BN_get_rfc3526_prime_8192(BIGNUM *bn)
 {
-    static const unsigned char RFC3526_PRIME_8192[] = {
-        0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
-        0xC9, 0x0F, 0xDA, 0xA2, 0x21, 0x68, 0xC2, 0x34,
-        0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1,
-        0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74,
-        0x02, 0x0B, 0xBE, 0xA6, 0x3B, 0x13, 0x9B, 0x22,
-        0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD,
-        0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B,
-        0x30, 0x2B, 0x0A, 0x6D, 0xF2, 0x5F, 0x14, 0x37,
-        0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45,
-        0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6,
-        0xF4, 0x4C, 0x42, 0xE9, 0xA6, 0x37, 0xED, 0x6B,
-        0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED,
-        0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5,
-        0xAE, 0x9F, 0x24, 0x11, 0x7C, 0x4B, 0x1F, 0xE6,
-        0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D,
-        0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05,
-        0x98, 0xDA, 0x48, 0x36, 0x1C, 0x55, 0xD3, 0x9A,
-        0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F,
-        0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96,
-        0x1C, 0x62, 0xF3, 0x56, 0x20, 0x85, 0x52, 0xBB,
-        0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D,
-        0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04,
-        0xF1, 0x74, 0x6C, 0x08, 0xCA, 0x18, 0x21, 0x7C,
-        0x32, 0x90, 0x5E, 0x46, 0x2E, 0x36, 0xCE, 0x3B,
-        0xE3, 0x9E, 0x77, 0x2C, 0x18, 0x0E, 0x86, 0x03,
-        0x9B, 0x27, 0x83, 0xA2, 0xEC, 0x07, 0xA2, 0x8F,
-        0xB5, 0xC5, 0x5D, 0xF0, 0x6F, 0x4C, 0x52, 0xC9,
-        0xDE, 0x2B, 0xCB, 0xF6, 0x95, 0x58, 0x17, 0x18,
-        0x39, 0x95, 0x49, 0x7C, 0xEA, 0x95, 0x6A, 0xE5,
-        0x15, 0xD2, 0x26, 0x18, 0x98, 0xFA, 0x05, 0x10,
-        0x15, 0x72, 0x8E, 0x5A, 0x8A, 0xAA, 0xC4, 0x2D,
-        0xAD, 0x33, 0x17, 0x0D, 0x04, 0x50, 0x7A, 0x33,
-        0xA8, 0x55, 0x21, 0xAB, 0xDF, 0x1C, 0xBA, 0x64,
-        0xEC, 0xFB, 0x85, 0x04, 0x58, 0xDB, 0xEF, 0x0A,
-        0x8A, 0xEA, 0x71, 0x57, 0x5D, 0x06, 0x0C, 0x7D,
-        0xB3, 0x97, 0x0F, 0x85, 0xA6, 0xE1, 0xE4, 0xC7,
-        0xAB, 0xF5, 0xAE, 0x8C, 0xDB, 0x09, 0x33, 0xD7,
-        0x1E, 0x8C, 0x94, 0xE0, 0x4A, 0x25, 0x61, 0x9D,
-        0xCE, 0xE3, 0xD2, 0x26, 0x1A, 0xD2, 0xEE, 0x6B,
-        0xF1, 0x2F, 0xFA, 0x06, 0xD9, 0x8A, 0x08, 0x64,
-        0xD8, 0x76, 0x02, 0x73, 0x3E, 0xC8, 0x6A, 0x64,
-        0x52, 0x1F, 0x2B, 0x18, 0x17, 0x7B, 0x20, 0x0C,
-        0xBB, 0xE1, 0x17, 0x57, 0x7A, 0x61, 0x5D, 0x6C,
-        0x77, 0x09, 0x88, 0xC0, 0xBA, 0xD9, 0x46, 0xE2,
-        0x08, 0xE2, 0x4F, 0xA0, 0x74, 0xE5, 0xAB, 0x31,
-        0x43, 0xDB, 0x5B, 0xFC, 0xE0, 0xFD, 0x10, 0x8E,
-        0x4B, 0x82, 0xD1, 0x20, 0xA9, 0x21, 0x08, 0x01,
-        0x1A, 0x72, 0x3C, 0x12, 0xA7, 0x87, 0xE6, 0xD7,
-        0x88, 0x71, 0x9A, 0x10, 0xBD, 0xBA, 0x5B, 0x26,
-        0x99, 0xC3, 0x27, 0x18, 0x6A, 0xF4, 0xE2, 0x3C,
-        0x1A, 0x94, 0x68, 0x34, 0xB6, 0x15, 0x0B, 0xDA,
-        0x25, 0x83, 0xE9, 0xCA, 0x2A, 0xD4, 0x4C, 0xE8,
-        0xDB, 0xBB, 0xC2, 0xDB, 0x04, 0xDE, 0x8E, 0xF9,
-        0x2E, 0x8E, 0xFC, 0x14, 0x1F, 0xBE, 0xCA, 0xA6,
-        0x28, 0x7C, 0x59, 0x47, 0x4E, 0x6B, 0xC0, 0x5D,
-        0x99, 0xB2, 0x96, 0x4F, 0xA0, 0x90, 0xC3, 0xA2,
-        0x23, 0x3B, 0xA1, 0x86, 0x51, 0x5B, 0xE7, 0xED,
-        0x1F, 0x61, 0x29, 0x70, 0xCE, 0xE2, 0xD7, 0xAF,
-        0xB8, 0x1B, 0xDD, 0x76, 0x21, 0x70, 0x48, 0x1C,
-        0xD0, 0x06, 0x91, 0x27, 0xD5, 0xB0, 0x5A, 0xA9,
-        0x93, 0xB4, 0xEA, 0x98, 0x8D, 0x8F, 0xDD, 0xC1,
-        0x86, 0xFF, 0xB7, 0xDC, 0x90, 0xA6, 0xC0, 0x8F,
-        0x4D, 0xF4, 0x35, 0xC9, 0x34, 0x02, 0x84, 0x92,
-        0x36, 0xC3, 0xFA, 0xB4, 0xD2, 0x7C, 0x70, 0x26,
-        0xC1, 0xD4, 0xDC, 0xB2, 0x60, 0x26, 0x46, 0xDE,
-        0xC9, 0x75, 0x1E, 0x76, 0x3D, 0xBA, 0x37, 0xBD,
-        0xF8, 0xFF, 0x94, 0x06, 0xAD, 0x9E, 0x53, 0x0E,
-        0xE5, 0xDB, 0x38, 0x2F, 0x41, 0x30, 0x01, 0xAE,
-        0xB0, 0x6A, 0x53, 0xED, 0x90, 0x27, 0xD8, 0x31,
-        0x17, 0x97, 0x27, 0xB0, 0x86, 0x5A, 0x89, 0x18,
-        0xDA, 0x3E, 0xDB, 0xEB, 0xCF, 0x9B, 0x14, 0xED,
-        0x44, 0xCE, 0x6C, 0xBA, 0xCE, 0xD4, 0xBB, 0x1B,
-        0xDB, 0x7F, 0x14, 0x47, 0xE6, 0xCC, 0x25, 0x4B,
-        0x33, 0x20, 0x51, 0x51, 0x2B, 0xD7, 0xAF, 0x42,
-        0x6F, 0xB8, 0xF4, 0x01, 0x37, 0x8C, 0xD2, 0xBF,
-        0x59, 0x83, 0xCA, 0x01, 0xC6, 0x4B, 0x92, 0xEC,
-        0xF0, 0x32, 0xEA, 0x15, 0xD1, 0x72, 0x1D, 0x03,
-        0xF4, 0x82, 0xD7, 0xCE, 0x6E, 0x74, 0xFE, 0xF6,
-        0xD5, 0x5E, 0x70, 0x2F, 0x46, 0x98, 0x0C, 0x82,
-        0xB5, 0xA8, 0x40, 0x31, 0x90, 0x0B, 0x1C, 0x9E,
-        0x59, 0xE7, 0xC9, 0x7F, 0xBE, 0xC7, 0xE8, 0xF3,
-        0x23, 0xA9, 0x7A, 0x7E, 0x36, 0xCC, 0x88, 0xBE,
-        0x0F, 0x1D, 0x45, 0xB7, 0xFF, 0x58, 0x5A, 0xC5,
-        0x4B, 0xD4, 0x07, 0xB2, 0x2B, 0x41, 0x54, 0xAA,
-        0xCC, 0x8F, 0x6D, 0x7E, 0xBF, 0x48, 0xE1, 0xD8,
-        0x14, 0xCC, 0x5E, 0xD2, 0x0F, 0x80, 0x37, 0xE0,
-        0xA7, 0x97, 0x15, 0xEE, 0xF2, 0x9B, 0xE3, 0x28,
-        0x06, 0xA1, 0xD5, 0x8B, 0xB7, 0xC5, 0xDA, 0x76,
-        0xF5, 0x50, 0xAA, 0x3D, 0x8A, 0x1F, 0xBF, 0xF0,
-        0xEB, 0x19, 0xCC, 0xB1, 0xA3, 0x13, 0xD5, 0x5C,
-        0xDA, 0x56, 0xC9, 0xEC, 0x2E, 0xF2, 0x96, 0x32,
-        0x38, 0x7F, 0xE8, 0xD7, 0x6E, 0x3C, 0x04, 0x68,
-        0x04, 0x3E, 0x8F, 0x66, 0x3F, 0x48, 0x60, 0xEE,
-        0x12, 0xBF, 0x2D, 0x5B, 0x0B, 0x74, 0x74, 0xD6,
-        0xE6, 0x94, 0xF9, 0x1E, 0x6D, 0xBE, 0x11, 0x59,
-        0x74, 0xA3, 0x92, 0x6F, 0x12, 0xFE, 0xE5, 0xE4,
-        0x38, 0x77, 0x7C, 0xB6, 0xA9, 0x32, 0xDF, 0x8C,
-        0xD8, 0xBE, 0xC4, 0xD0, 0x73, 0xB9, 0x31, 0xBA,
-        0x3B, 0xC8, 0x32, 0xB6, 0x8D, 0x9D, 0xD3, 0x00,
-        0x74, 0x1F, 0xA7, 0xBF, 0x8A, 0xFC, 0x47, 0xED,
-        0x25, 0x76, 0xF6, 0x93, 0x6B, 0xA4, 0x24, 0x66,
-        0x3A, 0xAB, 0x63, 0x9C, 0x5A, 0xE4, 0xF5, 0x68,
-        0x34, 0x23, 0xB4, 0x74, 0x2B, 0xF1, 0xC9, 0x78,
-        0x23, 0x8F, 0x16, 0xCB, 0xE3, 0x9D, 0x65, 0x2D,
-        0xE3, 0xFD, 0xB8, 0xBE, 0xFC, 0x84, 0x8A, 0xD9,
-        0x22, 0x22, 0x2E, 0x04, 0xA4, 0x03, 0x7C, 0x07,
-        0x13, 0xEB, 0x57, 0xA8, 0x1A, 0x23, 0xF0, 0xC7,
-        0x34, 0x73, 0xFC, 0x64, 0x6C, 0xEA, 0x30, 0x6B,
-        0x4B, 0xCB, 0xC8, 0x86, 0x2F, 0x83, 0x85, 0xDD,
-        0xFA, 0x9D, 0x4B, 0x7F, 0xA2, 0xC0, 0x87, 0xE8,
-        0x79, 0x68, 0x33, 0x03, 0xED, 0x5B, 0xDD, 0x3A,
-        0x06, 0x2B, 0x3C, 0xF5, 0xB3, 0xA2, 0x78, 0xA6,
-        0x6D, 0x2A, 0x13, 0xF8, 0x3F, 0x44, 0xF8, 0x2D,
-        0xDF, 0x31, 0x0E, 0xE0, 0x74, 0xAB, 0x6A, 0x36,
-        0x45, 0x97, 0xE8, 0x99, 0xA0, 0x25, 0x5D, 0xC1,
-        0x64, 0xF3, 0x1C, 0xC5, 0x08, 0x46, 0x85, 0x1D,
-        0xF9, 0xAB, 0x48, 0x19, 0x5D, 0xED, 0x7E, 0xA1,
-        0xB1, 0xD5, 0x10, 0xBD, 0x7E, 0xE7, 0x4D, 0x73,
-        0xFA, 0xF3, 0x6B, 0xC3, 0x1E, 0xCF, 0xA2, 0x68,
-        0x35, 0x90, 0x46, 0xF4, 0xEB, 0x87, 0x9F, 0x92,
-        0x40, 0x09, 0x43, 0x8B, 0x48, 0x1C, 0x6C, 0xD7,
-        0x88, 0x9A, 0x00, 0x2E, 0xD5, 0xEE, 0x38, 0x2B,
-        0xC9, 0x19, 0x0D, 0xA6, 0xFC, 0x02, 0x6E, 0x47,
-        0x95, 0x58, 0xE4, 0x47, 0x56, 0x77, 0xE9, 0xAA,
-        0x9E, 0x30, 0x50, 0xE2, 0x76, 0x56, 0x94, 0xDF,
-        0xC8, 0x1F, 0x56, 0xE8, 0x80, 0xB9, 0x6E, 0x71,
-        0x60, 0xC9, 0x80, 0xDD, 0x98, 0xED, 0xD3, 0xDF,
-        0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
-    };
-    return BN_bin2bn(RFC3526_PRIME_8192, sizeof(RFC3526_PRIME_8192), bn);
+    return COPY_BN(bn, _bignum_modp_8192_p);
 }