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, 536 insertions, 409 deletions

diff --git a/crypto/bn/bn_dh.c b/crypto/bn/bn_dh.c
index 390f904d51..2dfa5a09ca 100644
--- a/crypto/bn/bn_dh.c
+++ b/crypto/bn/bn_dh.c
@@ -1,5 +1,5 @@
 /*
- * Copyright 2014-2017 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright 2014-2020 The OpenSSL Project Authors. All Rights Reserved.
  *
  * Licensed under the Apache License 2.0 (the "License").  You may not use
  * this file except in compliance with the License.  You can obtain a copy
@@ -11,474 +11,593 @@
 #include "internal/nelem.h"
 
 #ifndef OPENSSL_NO_DH
-#include <openssl/dh.h>
-#include "crypto/bn_dh.h"
-/* DH parameters from RFC5114 */
+# include <openssl/dh.h>
+# include "crypto/bn_dh.h"
 
 # if BN_BITS2 == 64
-static const BN_ULONG dh1024_160_p[] = {
-    0xDF1FB2BC2E4A4371ULL, 0xE68CFDA76D4DA708ULL, 0x45BF37DF365C1A65ULL,
-    0xA151AF5F0DC8B4BDULL, 0xFAA31A4FF55BCCC0ULL, 0x4EFFD6FAE5644738ULL,
-    0x98488E9C219A7372ULL, 0xACCBDD7D90C4BD70ULL, 0x24975C3CD49B83BFULL,
-    0x13ECB4AEA9061123ULL, 0x9838EF1E2EE652C0ULL, 0x6073E28675A23D18ULL,
-    0x9A6A9DCA52D23B61ULL, 0x52C99FBCFB06A3C6ULL, 0xDE92DE5EAE5D54ECULL,
-    0xB10B8F96A080E01DULL
-};
-
-static const BN_ULONG dh1024_160_g[] = {
-    0x855E6EEB22B3B2E5ULL, 0x858F4DCEF97C2A24ULL, 0x2D779D5918D08BC8ULL,
-    0xD662A4D18E73AFA3ULL, 0x1DBF0A0169B6A28AULL, 0xA6A24C087A091F53ULL,
-    0x909D0D2263F80A76ULL, 0xD7FBD7D3B9A92EE1ULL, 0x5E91547F9E2749F4ULL,
-    0x160217B4B01B886AULL, 0x777E690F5504F213ULL, 0x266FEA1E5C41564BULL,
-    0xD6406CFF14266D31ULL, 0xF8104DD258AC507FULL, 0x6765A442EFB99905ULL,
-    0xA4D1CBD5C3FD3412ULL
-};
-
-static const BN_ULONG dh1024_160_q[] = {
-    0x64B7CB9D49462353ULL, 0x81A8DF278ABA4E7DULL, 0x00000000F518AA87ULL
-};
-
-static const BN_ULONG dh2048_224_p[] = {
-    0x0AC4DFFE0C10E64FULL, 0xCF9DE5384E71B81CULL, 0x7EF363E2FFA31F71ULL,
-    0xE3FB73C16B8E75B9ULL, 0xC9B53DCF4BA80A29ULL, 0x23F10B0E16E79763ULL,
-    0xC52172E413042E9BULL, 0xBE60E69CC928B2B9ULL, 0x80CD86A1B9E587E8ULL,
-    0x315D75E198C641A4ULL, 0xCDF93ACC44328387ULL, 0x15987D9ADC0A486DULL,
-    0x7310F7121FD5A074ULL, 0x278273C7DE31EFDCULL, 0x1602E714415D9330ULL,
-    0x81286130BC8985DBULL, 0xB3BF8A3170918836ULL, 0x6A00E0A0B9C49708ULL,
-    0xC6BA0B2C8BBC27BEULL, 0xC9F98D11ED34DBF6ULL, 0x7AD5B7D0B6C12207ULL,
-    0xD91E8FEF55B7394BULL, 0x9037C9EDEFDA4DF8ULL, 0x6D3F8152AD6AC212ULL,
-    0x1DE6B85A1274A0A6ULL, 0xEB3D688A309C180EULL, 0xAF9A3C407BA1DF15ULL,
-    0xE6FA141DF95A56DBULL, 0xB54B1597B61D0A75ULL, 0xA20D64E5683B9FD1ULL,
-    0xD660FAA79559C51FULL, 0xAD107E1E9123A9D0ULL
-};
-
-static const BN_ULONG dh2048_224_g[] = {
-    0x84B890D3191F2BFAULL, 0x81BC087F2A7065B3ULL, 0x19C418E1F6EC0179ULL,
-    0x7B5A0F1C71CFFF4CULL, 0xEDFE72FE9B6AA4BDULL, 0x81E1BCFE94B30269ULL,
-    0x566AFBB48D6C0191ULL, 0xB539CCE3409D13CDULL, 0x6AA21E7F5F2FF381ULL,
-    0xD9E263E4770589EFULL, 0x10E183EDD19963DDULL, 0xB70A8137150B8EEBULL,
-    0x051AE3D428C8F8ACULL, 0xBB77A86F0C1AB15BULL, 0x6E3025E316A330EFULL,
-    0x19529A45D6F83456ULL, 0xF180EB34118E98D1ULL, 0xB5F6C6B250717CBEULL,
-    0x09939D54DA7460CDULL, 0xE247150422EA1ED4ULL, 0xB8A762D0521BC98AULL,
-    0xF4D027275AC1348BULL, 0xC17669101999024AULL, 0xBE5E9001A8D66AD7ULL,
-    0xC57DB17C620A8652ULL, 0xAB739D7700C29F52ULL, 0xDD921F01A70C4AFAULL,
-    0xA6824A4E10B9A6F0ULL, 0x74866A08CFE4FFE3ULL, 0x6CDEBE7B89998CAFULL,
-    0x9DF30B5C8FFDAC50ULL, 0xAC4032EF4F2D9AE3ULL
-};
+#  define BN_DEF(lo, hi) (BN_ULONG)hi << 32 | lo
+# else
+#  define BN_DEF(lo, hi) lo, hi
+# endif
 
-static const BN_ULONG dh2048_224_q[] = {
-    0xBF389A99B36371EBULL, 0x1F80535A4738CEBCULL, 0xC58D93FE99717710ULL,
-    0x00000000801C0D34ULL
-};
+/* DH parameters from RFC3526 */
 
-static const BN_ULONG dh2048_256_p[] = {
-    0xDB094AE91E1A1597ULL, 0x693877FAD7EF09CAULL, 0x6116D2276E11715FULL,
-    0xA4B54330C198AF12ULL, 0x75F26375D7014103ULL, 0xC3A3960A54E710C3ULL,
-    0xDED4010ABD0BE621ULL, 0xC0B857F689962856ULL, 0xB3CA3F7971506026ULL,
-    0x1CCACB83E6B486F6ULL, 0x67E144E514056425ULL, 0xF6A167B5A41825D9ULL,
-    0x3AD8347796524D8EULL, 0xF13C6D9A51BFA4ABULL, 0x2D52526735488A0EULL,
-    0xB63ACAE1CAA6B790ULL, 0x4FDB70C581B23F76ULL, 0xBC39A0BF12307F5CULL,
-    0xB941F54EB1E59BB8ULL, 0x6C5BFC11D45F9088ULL, 0x22E0B1EF4275BF7BULL,
-    0x91F9E6725B4758C0ULL, 0x5A8A9D306BCF67EDULL, 0x209E0C6497517ABDULL,
-    0x3BF4296D830E9A7CULL, 0x16C3D91134096FAAULL, 0xFAF7DF4561B2AA30ULL,
-    0xE00DF8F1D61957D4ULL, 0x5D2CEED4435E3B00ULL, 0x8CEEF608660DD0F2ULL,
-    0xFFBBD19C65195999ULL, 0x87A8E61DB4B6663CULL
+# ifndef FIPS_MODE
+/*
+ * "1536-bit MODP Group" from RFC3526, Section 2.
+ *
+ * The prime is: 2^1536 - 2^1472 - 1 + 2^64 * { [2^1406 pi] + 741804 }
+ *
+ * RFC3526 specifies a generator of 2.
+ * RFC2312 specifies a generator of 22.
+ */
+static const BN_ULONG modp_1536_p[] = {
+    BN_DEF(0xFFFFFFFF, 0xFFFFFFFF), BN_DEF(0xCA237327, 0xF1746C08),
+    BN_DEF(0x4ABC9804, 0x670C354E), BN_DEF(0x7096966D, 0x9ED52907),
+    BN_DEF(0x208552BB, 0x1C62F356), BN_DEF(0xDCA3AD96, 0x83655D23),
+    BN_DEF(0xFD24CF5F, 0x69163FA8), BN_DEF(0x1C55D39A, 0x98DA4836),
+    BN_DEF(0xA163BF05, 0xC2007CB8), BN_DEF(0xECE45B3D, 0x49286651),
+    BN_DEF(0x7C4B1FE6, 0xAE9F2411), BN_DEF(0x5A899FA5, 0xEE386BFB),
+    BN_DEF(0xF406B7ED, 0x0BFF5CB6), BN_DEF(0xA637ED6B, 0xF44C42E9),
+    BN_DEF(0x625E7EC6, 0xE485B576), BN_DEF(0x6D51C245, 0x4FE1356D),
+    BN_DEF(0xF25F1437, 0x302B0A6D), BN_DEF(0xCD3A431B, 0xEF9519B3),
+    BN_DEF(0x8E3404DD, 0x514A0879), BN_DEF(0x3B139B22, 0x020BBEA6),
+    BN_DEF(0x8A67CC74, 0x29024E08), BN_DEF(0x80DC1CD1, 0xC4C6628B),
+    BN_DEF(0x2168C234, 0xC90FDAA2), BN_DEF(0xFFFFFFFF, 0xFFFFFFFF)
 };
+# endif /* FIPS_MODE */
 
-static const BN_ULONG dh2048_256_g[] = {
-    0x664B4C0F6CC41659ULL, 0x5E2327CFEF98C582ULL, 0xD647D148D4795451ULL,
-    0x2F63078490F00EF8ULL, 0x184B523D1DB246C3ULL, 0xC7891428CDC67EB6ULL,
-    0x7FD028370DF92B52ULL, 0xB3353BBB64E0EC37ULL, 0xECD06E1557CD0915ULL,
-    0xB7D2BBD2DF016199ULL, 0xC8484B1E052588B9ULL, 0xDB2A3B7313D3FE14ULL,
-    0xD052B985D182EA0AULL, 0xA4BD1BFFE83B9C80ULL, 0xDFC967C1FB3F2E55ULL,
-    0xB5045AF2767164E1ULL, 0x1D14348F6F2F9193ULL, 0x64E67982428EBC83ULL,
-    0x8AC376D282D6ED38ULL, 0x777DE62AAAB8A862ULL, 0xDDF463E5E9EC144BULL,
-    0x0196F931C77A57F2ULL, 0xA55AE31341000A65ULL, 0x901228F8C28CBB18ULL,
-    0xBC3773BF7E8C6F62ULL, 0xBE3A6C1B0C6B47B1ULL, 0xFF4FED4AAC0BB555ULL,
-    0x10DBC15077BE463FULL, 0x07F4793A1A0BA125ULL, 0x4CA7B18F21EF2054ULL,
-    0x2E77506660EDBD48ULL, 0x3FB32C9B73134D0BULL
-};
 
-static const BN_ULONG dh2048_256_q[] = {
-    0xA308B0FE64F5FBD3ULL, 0x99B1A47D1EB3750BULL, 0xB447997640129DA2ULL,
-    0x8CF83642A709A097ULL
+/*-
+ * "2048-bit MODP Group" from RFC3526, Section 3.
+ *
+ * The prime is: 2^2048 - 2^1984 - 1 + 2^64 * { [2^1918 pi] + 124476 }
+ *
+ * RFC3526 specifies a generator of 2.
+ */
+static const BN_ULONG modp_2048_p[] = {
+    BN_DEF(0xFFFFFFFF, 0xFFFFFFFF), BN_DEF(0x8AACAA68, 0x15728E5A),
+    BN_DEF(0x98FA0510, 0x15D22618), BN_DEF(0xEA956AE5, 0x3995497C),
+    BN_DEF(0x95581718, 0xDE2BCBF6), BN_DEF(0x6F4C52C9, 0xB5C55DF0),
+    BN_DEF(0xEC07A28F, 0x9B2783A2), BN_DEF(0x180E8603, 0xE39E772C),
+    BN_DEF(0x2E36CE3B, 0x32905E46), BN_DEF(0xCA18217C, 0xF1746C08),
+    BN_DEF(0x4ABC9804, 0x670C354E), BN_DEF(0x7096966D, 0x9ED52907),
+    BN_DEF(0x208552BB, 0x1C62F356), BN_DEF(0xDCA3AD96, 0x83655D23),
+    BN_DEF(0xFD24CF5F, 0x69163FA8), BN_DEF(0x1C55D39A, 0x98DA4836),
+    BN_DEF(0xA163BF05, 0xC2007CB8), BN_DEF(0xECE45B3D, 0x49286651),
+    BN_DEF(0x7C4B1FE6, 0xAE9F2411), BN_DEF(0x5A899FA5, 0xEE386BFB),
+    BN_DEF(0xF406B7ED, 0x0BFF5CB6), BN_DEF(0xA637ED6B, 0xF44C42E9),
+    BN_DEF(0x625E7EC6, 0xE485B576), BN_DEF(0x6D51C245, 0x4FE1356D),
+    BN_DEF(0xF25F1437, 0x302B0A6D), BN_DEF(0xCD3A431B, 0xEF9519B3),
+    BN_DEF(0x8E3404DD, 0x514A0879), BN_DEF(0x3B139B22, 0x020BBEA6),
+    BN_DEF(0x8A67CC74, 0x29024E08), BN_DEF(0x80DC1CD1, 0xC4C6628B),
+    BN_DEF(0x2168C234, 0xC90FDAA2), BN_DEF(0xFFFFFFFF, 0xFFFFFFFF)
 };
 
-/* Primes from RFC 7919 */
-static const BN_ULONG ffdhe2048_p[] = {
-    0xFFFFFFFFFFFFFFFFULL, 0x886B423861285C97ULL, 0xC6F34A26C1B2EFFAULL,
-    0xC58EF1837D1683B2ULL, 0x3BB5FCBC2EC22005ULL, 0xC3FE3B1B4C6FAD73ULL,
-    0x8E4F1232EEF28183ULL, 0x9172FE9CE98583FFULL, 0xC03404CD28342F61ULL,
-    0x9E02FCE1CDF7E2ECULL, 0x0B07A7C8EE0A6D70ULL, 0xAE56EDE76372BB19ULL,
-    0x1D4F42A3DE394DF4ULL, 0xB96ADAB760D7F468ULL, 0xD108A94BB2C8E3FBULL,
-    0xBC0AB182B324FB61ULL, 0x30ACCA4F483A797AULL, 0x1DF158A136ADE735ULL,
-    0xE2A689DAF3EFE872ULL, 0x984F0C70E0E68B77ULL, 0xB557135E7F57C935ULL,
-    0x856365553DED1AF3ULL, 0x2433F51F5F066ED0ULL, 0xD3DF1ED5D5FD6561ULL,
-    0xF681B202AEC4617AULL, 0x7D2FE363630C75D8ULL, 0xCC939DCE249B3EF9ULL,
-    0xA9E13641146433FBULL, 0xD8B9C583CE2D3695ULL, 0xAFDC5620273D3CF1ULL,
-    0xADF85458A2BB4A9AULL, 0xFFFFFFFFFFFFFFFFULL
+/*-
+ * "3072-bit MODP Group" from RFC3526, Section 4.
+ *
+ * The prime is: 2^3072 - 2^3008 - 1 + 2^64 * { [2^2942 pi] + 1690314 }
+ *
+ * RFC3526 specifies a generator of 2.
+ */
+static const BN_ULONG modp_3072_p[] = {
+    BN_DEF(0xFFFFFFFF, 0xFFFFFFFF), BN_DEF(0xA93AD2CA, 0x4B82D120),
+    BN_DEF(0xE0FD108E, 0x43DB5BFC), BN_DEF(0x74E5AB31, 0x08E24FA0),
+    BN_DEF(0xBAD946E2, 0x770988C0), BN_DEF(0x7A615D6C, 0xBBE11757),
+    BN_DEF(0x177B200C, 0x521F2B18), BN_DEF(0x3EC86A64, 0xD8760273),
+    BN_DEF(0xD98A0864, 0xF12FFA06), BN_DEF(0x1AD2EE6B, 0xCEE3D226),
+    BN_DEF(0x4A25619D, 0x1E8C94E0), BN_DEF(0xDB0933D7, 0xABF5AE8C),
+    BN_DEF(0xA6E1E4C7, 0xB3970F85), BN_DEF(0x5D060C7D, 0x8AEA7157),
+    BN_DEF(0x58DBEF0A, 0xECFB8504), BN_DEF(0xDF1CBA64, 0xA85521AB),
+    BN_DEF(0x04507A33, 0xAD33170D), BN_DEF(0x8AAAC42D, 0x15728E5A),
+    BN_DEF(0x98FA0510, 0x15D22618), BN_DEF(0xEA956AE5, 0x3995497C),
+    BN_DEF(0x95581718, 0xDE2BCBF6), BN_DEF(0x6F4C52C9, 0xB5C55DF0),
+    BN_DEF(0xEC07A28F, 0x9B2783A2), BN_DEF(0x180E8603, 0xE39E772C),
+    BN_DEF(0x2E36CE3B, 0x32905E46), BN_DEF(0xCA18217C, 0xF1746C08),
+    BN_DEF(0x4ABC9804, 0x670C354E), BN_DEF(0x7096966D, 0x9ED52907),
+    BN_DEF(0x208552BB, 0x1C62F356), BN_DEF(0xDCA3AD96, 0x83655D23),
+    BN_DEF(0xFD24CF5F, 0x69163FA8), BN_DEF(0x1C55D39A, 0x98DA4836),
+    BN_DEF(0xA163BF05, 0xC2007CB8), BN_DEF(0xECE45B3D, 0x49286651),
+    BN_DEF(0x7C4B1FE6, 0xAE9F2411), BN_DEF(0x5A899FA5, 0xEE386BFB),
+    BN_DEF(0xF406B7ED, 0x0BFF5CB6), BN_DEF(0xA637ED6B, 0xF44C42E9),
+    BN_DEF(0x625E7EC6, 0xE485B576), BN_DEF(0x6D51C245, 0x4FE1356D),
+    BN_DEF(0xF25F1437, 0x302B0A6D), BN_DEF(0xCD3A431B, 0xEF9519B3),
+    BN_DEF(0x8E3404DD, 0x514A0879), BN_DEF(0x3B139B22, 0x020BBEA6),
+    BN_DEF(0x8A67CC74, 0x29024E08), BN_DEF(0x80DC1CD1, 0xC4C6628B),
+    BN_DEF(0x2168C234, 0xC90FDAA2), BN_DEF(0xFFFFFFFF, 0xFFFFFFFF)
 };
 
-static const BN_ULONG ffdhe3072_p[] = {
-    0xFFFFFFFFFFFFFFFFULL, 0x25E41D2B66C62E37ULL, 0x3C1B20EE3FD59D7CULL,
-    0x0ABCD06BFA53DDEFULL, 0x1DBF9A42D5C4484EULL, 0xABC521979B0DEADAULL,
-    0xE86D2BC522363A0DULL, 0x5CAE82AB9C9DF69EULL, 0x64F2E21E71F54BFFULL,
-    0xF4FD4452E2D74DD3ULL, 0xB4130C93BC437944ULL, 0xAEFE130985139270ULL,
-    0x598CB0FAC186D91CULL, 0x7AD91D2691F7F7EEULL, 0x61B46FC9D6E6C907ULL,
-    0xBC34F4DEF99C0238ULL, 0xDE355B3B6519035BULL, 0x886B4238611FCFDCULL,
-    0xC6F34A26C1B2EFFAULL, 0xC58EF1837D1683B2ULL, 0x3BB5FCBC2EC22005ULL,
-    0xC3FE3B1B4C6FAD73ULL, 0x8E4F1232EEF28183ULL, 0x9172FE9CE98583FFULL,
-    0xC03404CD28342F61ULL, 0x9E02FCE1CDF7E2ECULL, 0x0B07A7C8EE0A6D70ULL,
-    0xAE56EDE76372BB19ULL, 0x1D4F42A3DE394DF4ULL, 0xB96ADAB760D7F468ULL,
-    0xD108A94BB2C8E3FBULL, 0xBC0AB182B324FB61ULL, 0x30ACCA4F483A797AULL,
-    0x1DF158A136ADE735ULL, 0xE2A689DAF3EFE872ULL, 0x984F0C70E0E68B77ULL,
-    0xB557135E7F57C935ULL, 0x856365553DED1AF3ULL, 0x2433F51F5F066ED0ULL,
-    0xD3DF1ED5D5FD6561ULL, 0xF681B202AEC4617AULL, 0x7D2FE363630C75D8ULL,
-    0xCC939DCE249B3EF9ULL, 0xA9E13641146433FBULL, 0xD8B9C583CE2D3695ULL,
-    0xAFDC5620273D3CF1ULL, 0xADF85458A2BB4A9AULL, 0xFFFFFFFFFFFFFFFFULL
-};
 
-static const BN_ULONG ffdhe4096_p[] = {
-    0xFFFFFFFFFFFFFFFFULL, 0xC68A007E5E655F6AULL, 0x4DB5A851F44182E1ULL,
-    0x8EC9B55A7F88A46BULL, 0x0A8291CDCEC97DCFULL, 0x2A4ECEA9F98D0ACCULL,
-    0x1A1DB93D7140003CULL, 0x092999A333CB8B7AULL, 0x6DC778F971AD0038ULL,
-    0xA907600A918130C4ULL, 0xED6A1E012D9E6832ULL, 0x7135C886EFB4318AULL,
-    0x87F55BA57E31CC7AULL, 0x7763CF1D55034004ULL, 0xAC7D5F42D69F6D18ULL,
-    0x7930E9E4E58857B6ULL, 0x6E6F52C3164DF4FBULL, 0x25E41D2B669E1EF1ULL,
-    0x3C1B20EE3FD59D7CULL, 0x0ABCD06BFA53DDEFULL, 0x1DBF9A42D5C4484EULL,
-    0xABC521979B0DEADAULL, 0xE86D2BC522363A0DULL, 0x5CAE82AB9C9DF69EULL,
-    0x64F2E21E71F54BFFULL, 0xF4FD4452E2D74DD3ULL, 0xB4130C93BC437944ULL,
-    0xAEFE130985139270ULL, 0x598CB0FAC186D91CULL, 0x7AD91D2691F7F7EEULL,
-    0x61B46FC9D6E6C907ULL, 0xBC34F4DEF99C0238ULL, 0xDE355B3B6519035BULL,
-    0x886B4238611FCFDCULL, 0xC6F34A26C1B2EFFAULL, 0xC58EF1837D1683B2ULL,
-    0x3BB5FCBC2EC22005ULL, 0xC3FE3B1B4C6FAD73ULL, 0x8E4F1232EEF28183ULL,
-    0x9172FE9CE98583FFULL, 0xC03404CD28342F61ULL, 0x9E02FCE1CDF7E2ECULL,
-    0x0B07A7C8EE0A6D70ULL, 0xAE56EDE76372BB19ULL, 0x1D4F42A3DE394DF4ULL,
-    0xB96ADAB760D7F468ULL, 0xD108A94BB2C8E3FBULL, 0xBC0AB182B324FB61ULL,
-    0x30ACCA4F483A797AULL, 0x1DF158A136ADE735ULL, 0xE2A689DAF3EFE872ULL,
-    0x984F0C70E0E68B77ULL, 0xB557135E7F57C935ULL, 0x856365553DED1AF3ULL,
-    0x2433F51F5F066ED0ULL, 0xD3DF1ED5D5FD6561ULL, 0xF681B202AEC4617AULL,
-    0x7D2FE363630C75D8ULL, 0xCC939DCE249B3EF9ULL, 0xA9E13641146433FBULL,
-    0xD8B9C583CE2D3695ULL, 0xAFDC5620273D3CF1ULL, 0xADF85458A2BB4A9AULL,
-    0xFFFFFFFFFFFFFFFFULL
+/*-
+ * "4096-bit MODP Group" from RFC3526, Section 5.
+ *
+ * The prime is: 2^4096 - 2^4032 - 1 + 2^64 * { [2^3966 pi] + 240904 }
+ *
+ * RFC3526 specifies a generator of 2.
+ */
+static const BN_ULONG modp_4096_p[] = {
+    BN_DEF(0xFFFFFFFF, 0xFFFFFFFF), BN_DEF(0x34063199, 0x4DF435C9),
+    BN_DEF(0x90A6C08F, 0x86FFB7DC), BN_DEF(0x8D8FDDC1, 0x93B4EA98),
+    BN_DEF(0xD5B05AA9, 0xD0069127), BN_DEF(0x2170481C, 0xB81BDD76),
+    BN_DEF(0xCEE2D7AF, 0x1F612970), BN_DEF(0x515BE7ED, 0x233BA186),
+    BN_DEF(0xA090C3A2, 0x99B2964F), BN_DEF(0x4E6BC05D, 0x287C5947),
+    BN_DEF(0x1FBECAA6, 0x2E8EFC14), BN_DEF(0x04DE8EF9, 0xDBBBC2DB),
+    BN_DEF(0x2AD44CE8, 0x2583E9CA), BN_DEF(0xB6150BDA, 0x1A946834),
+    BN_DEF(0x6AF4E23C, 0x99C32718), BN_DEF(0xBDBA5B26, 0x88719A10),
+    BN_DEF(0xA787E6D7, 0x1A723C12), BN_DEF(0xA9210801, 0x4B82D120),
+    BN_DEF(0xE0FD108E, 0x43DB5BFC), BN_DEF(0x74E5AB31, 0x08E24FA0),
+    BN_DEF(0xBAD946E2, 0x770988C0), BN_DEF(0x7A615D6C, 0xBBE11757),
+    BN_DEF(0x177B200C, 0x521F2B18), BN_DEF(0x3EC86A64, 0xD8760273),
+    BN_DEF(0xD98A0864, 0xF12FFA06), BN_DEF(0x1AD2EE6B, 0xCEE3D226),
+    BN_DEF(0x4A25619D, 0x1E8C94E0), BN_DEF(0xDB0933D7, 0xABF5AE8C),
+    BN_DEF(0xA6E1E4C7, 0xB3970F85), BN_DEF(0x5D060C7D, 0x8AEA7157),
+    BN_DEF(0x58DBEF0A, 0xECFB8504), BN_DEF(0xDF1CBA64, 0xA85521AB),
+    BN_DEF(0x04507A33, 0xAD33170D), BN_DEF(0x8AAAC42D, 0x15728E5A),
+    BN_DEF(0x98FA0510, 0x15D22618), BN_DEF(0xEA956AE5, 0x3995497C),
+    BN_DEF(0x95581718, 0xDE2BCBF6), BN_DEF(0x6F4C52C9, 0xB5C55DF0),
+    BN_DEF(0xEC07A28F, 0x9B2783A2), BN_DEF(0x180E8603, 0xE39E772C),
+    BN_DEF(0x2E36CE3B, 0x32905E46), BN_DEF(0xCA18217C, 0xF1746C08),
+    BN_DEF(0x4ABC9804, 0x670C354E), BN_DEF(0x7096966D, 0x9ED52907),
+    BN_DEF(0x208552BB, 0x1C62F356), BN_DEF(0xDCA3AD96, 0x83655D23),
+    BN_DEF(0xFD24CF5F, 0x69163FA8), BN_DEF(0x1C55D39A, 0x98DA4836),
+    BN_DEF(0xA163BF05, 0xC2007CB8), BN_DEF(0xECE45B3D, 0x49286651),
+    BN_DEF(0x7C4B1FE6, 0xAE9F2411), BN_DEF(0x5A899FA5, 0xEE386BFB),
+    BN_DEF(0xF406B7ED, 0x0BFF5CB6), BN_DEF(0xA637ED6B, 0xF44C42E9),
+    BN_DEF(0x625E7EC6, 0xE485B576), BN_DEF(0x6D51C245, 0x4FE1356D),
+    BN_DEF(0xF25F1437, 0x302B0A6D), BN_DEF(0xCD3A431B, 0xEF9519B3),
+    BN_DEF(0x8E3404DD, 0x514A0879), BN_DEF(0x3B139B22, 0x020BBEA6),
+    BN_DEF(0x8A67CC74, 0x29024E08), BN_DEF(0x80DC1CD1, 0xC4C6628B),
+    BN_DEF(0x2168C234, 0xC90FDAA2), BN_DEF(0xFFFFFFFF, 0xFFFFFFFF)
 };
 
-static const BN_ULONG ffdhe6144_p[] = {
-    0xFFFFFFFFFFFFFFFFULL, 0xA40E329CD0E40E65ULL, 0xA41D570D7938DAD4ULL,
-    0x62A69526D43161C1ULL, 0x3FDD4A8E9ADB1E69ULL, 0x5B3B71F9DC6B80D6ULL,
-    0xEC9D1810C6272B04ULL, 0x8CCF2DD5CACEF403ULL, 0xE49F5235C95B9117ULL,
-    0x505DC82DB854338AULL, 0x62292C311562A846ULL, 0xD72B03746AE77F5EULL,
-    0xF9C9091B462D538CULL, 0x0AE8DB5847A67CBEULL, 0xB3A739C122611682ULL,
-    0xEEAAC0232A281BF6ULL, 0x94C6651E77CAF992ULL, 0x763E4E4B94B2BBC1ULL,
-    0x587E38DA0077D9B4ULL, 0x7FB29F8C183023C3ULL, 0x0ABEC1FFF9E3A26EULL,
-    0xA00EF092350511E3ULL, 0xB855322EDB6340D8ULL, 0xA52471F7A9A96910ULL,
-    0x388147FB4CFDB477ULL, 0x9B1F5C3E4E46041FULL, 0xCDAD0657FCCFEC71ULL,
-    0xB38E8C334C701C3AULL, 0x917BDD64B1C0FD4CULL, 0x3BB454329B7624C8ULL,
-    0x23BA4442CAF53EA6ULL, 0x4E677D2C38532A3AULL, 0x0BFD64B645036C7AULL,
-    0xC68A007E5E0DD902ULL, 0x4DB5A851F44182E1ULL, 0x8EC9B55A7F88A46BULL,
-    0x0A8291CDCEC97DCFULL, 0x2A4ECEA9F98D0ACCULL, 0x1A1DB93D7140003CULL,
-    0x092999A333CB8B7AULL, 0x6DC778F971AD0038ULL, 0xA907600A918130C4ULL,
-    0xED6A1E012D9E6832ULL, 0x7135C886EFB4318AULL, 0x87F55BA57E31CC7AULL,
-    0x7763CF1D55034004ULL, 0xAC7D5F42D69F6D18ULL, 0x7930E9E4E58857B6ULL,
-    0x6E6F52C3164DF4FBULL, 0x25E41D2B669E1EF1ULL, 0x3C1B20EE3FD59D7CULL,
-    0x0ABCD06BFA53DDEFULL, 0x1DBF9A42D5C4484EULL, 0xABC521979B0DEADAULL,
-    0xE86D2BC522363A0DULL, 0x5CAE82AB9C9DF69EULL, 0x64F2E21E71F54BFFULL,
-    0xF4FD4452E2D74DD3ULL, 0xB4130C93BC437944ULL, 0xAEFE130985139270ULL,
-    0x598CB0FAC186D91CULL, 0x7AD91D2691F7F7EEULL, 0x61B46FC9D6E6C907ULL,
-    0xBC34F4DEF99C0238ULL, 0xDE355B3B6519035BULL, 0x886B4238611FCFDCULL,
-    0xC6F34A26C1B2EFFAULL, 0xC58EF1837D1683B2ULL, 0x3BB5FCBC2EC22005ULL,
-    0xC3FE3B1B4C6FAD73ULL, 0x8E4F1232EEF28183ULL, 0x9172FE9CE98583FFULL,
-    0xC03404CD28342F61ULL, 0x9E02FCE1CDF7E2ECULL, 0x0B07A7C8EE0A6D70ULL,
-    0xAE56EDE76372BB19ULL, 0x1D4F42A3DE394DF4ULL, 0xB96ADAB760D7F468ULL,
-    0xD108A94BB2C8E3FBULL, 0xBC0AB182B324FB61ULL, 0x30ACCA4F483A797AULL,
-    0x1DF158A136ADE735ULL, 0xE2A689DAF3EFE872ULL, 0x984F0C70E0E68B77ULL,
-    0xB557135E7F57C935ULL, 0x856365553DED1AF3ULL, 0x2433F51F5F066ED0ULL,
-    0xD3DF1ED5D5FD6561ULL, 0xF681B202AEC4617AULL, 0x7D2FE363630C75D8ULL,
-    0xCC939DCE249B3EF9ULL, 0xA9E13641146433FBULL, 0xD8B9C583CE2D3695ULL,
-    0xAFDC5620273D3CF1ULL, 0xADF85458A2BB4A9AULL, 0xFFFFFFFFFFFFFFFFULL
+/*-
+ * "6144-bit MODP Group" from RFC3526, Section 6.
+ *
+ * The prime is: 2^6144 - 2^6080 - 1 + 2^64 * { [2^6014 pi] + 929484 }
+ *
+ * RFC3526 specifies a generator of 2.
+ */
+static const BN_ULONG modp_6144_p[] = {
+    BN_DEF(0xFFFFFFFF, 0xFFFFFFFF), BN_DEF(0x6DCC4024, 0xE694F91E),
+    BN_DEF(0x0B7474D6, 0x12BF2D5B), BN_DEF(0x3F4860EE, 0x043E8F66),
+    BN_DEF(0x6E3C0468, 0x387FE8D7), BN_DEF(0x2EF29632, 0xDA56C9EC),
+    BN_DEF(0xA313D55C, 0xEB19CCB1), BN_DEF(0x8A1FBFF0, 0xF550AA3D),
+    BN_DEF(0xB7C5DA76, 0x06A1D58B), BN_DEF(0xF29BE328, 0xA79715EE),
+    BN_DEF(0x0F8037E0, 0x14CC5ED2), BN_DEF(0xBF48E1D8, 0xCC8F6D7E),
+    BN_DEF(0x2B4154AA, 0x4BD407B2), BN_DEF(0xFF585AC5, 0x0F1D45B7),
+    BN_DEF(0x36CC88BE, 0x23A97A7E), BN_DEF(0xBEC7E8F3, 0x59E7C97F),
+    BN_DEF(0x900B1C9E, 0xB5A84031), BN_DEF(0x46980C82, 0xD55E702F),
+    BN_DEF(0x6E74FEF6, 0xF482D7CE), BN_DEF(0xD1721D03, 0xF032EA15),
+    BN_DEF(0xC64B92EC, 0x5983CA01), BN_DEF(0x378CD2BF, 0x6FB8F401),
+    BN_DEF(0x2BD7AF42, 0x33205151), BN_DEF(0xE6CC254B, 0xDB7F1447),
+    BN_DEF(0xCED4BB1B, 0x44CE6CBA), BN_DEF(0xCF9B14ED, 0xDA3EDBEB),
+    BN_DEF(0x865A8918, 0x179727B0), BN_DEF(0x9027D831, 0xB06A53ED),
+    BN_DEF(0x413001AE, 0xE5DB382F), BN_DEF(0xAD9E530E, 0xF8FF9406),
+    BN_DEF(0x3DBA37BD, 0xC9751E76), BN_DEF(0x602646DE, 0xC1D4DCB2),
+    BN_DEF(0xD27C7026, 0x36C3FAB4), BN_DEF(0x34028492, 0x4DF435C9),
+    BN_DEF(0x90A6C08F, 0x86FFB7DC), BN_DEF(0x8D8FDDC1, 0x93B4EA98),
+    BN_DEF(0xD5B05AA9, 0xD0069127), BN_DEF(0x2170481C, 0xB81BDD76),
+    BN_DEF(0xCEE2D7AF, 0x1F612970), BN_DEF(0x515BE7ED, 0x233BA186),
+    BN_DEF(0xA090C3A2, 0x99B2964F), BN_DEF(0x4E6BC05D, 0x287C5947),
+    BN_DEF(0x1FBECAA6, 0x2E8EFC14), BN_DEF(0x04DE8EF9, 0xDBBBC2DB),
+    BN_DEF(0x2AD44CE8, 0x2583E9CA), BN_DEF(0xB6150BDA, 0x1A946834),
+    BN_DEF(0x6AF4E23C, 0x99C32718), BN_DEF(0xBDBA5B26, 0x88719A10),
+    BN_DEF(0xA787E6D7, 0x1A723C12), BN_DEF(0xA9210801, 0x4B82D120),
+    BN_DEF(0xE0FD108E, 0x43DB5BFC), BN_DEF(0x74E5AB31, 0x08E24FA0),
+    BN_DEF(0xBAD946E2, 0x770988C0), BN_DEF(0x7A615D6C, 0xBBE11757),
+    BN_DEF(0x177B200C, 0x521F2B18), BN_DEF(0x3EC86A64, 0xD8760273),
+    BN_DEF(0xD98A0864, 0xF12FFA06), BN_DEF(0x1AD2EE6B, 0xCEE3D226),
+    BN_DEF(0x4A25619D, 0x1E8C94E0), BN_DEF(0xDB0933D7, 0xABF5AE8C),
+    BN_DEF(0xA6E1E4C7, 0xB3970F85), BN_DEF(0x5D060C7D, 0x8AEA7157),
+    BN_DEF(0x58DBEF0A, 0xECFB8504), BN_DEF(0xDF1CBA64, 0xA85521AB),
+    BN_DEF(0x04507A33, 0xAD33170D), BN_DEF(0x8AAAC42D, 0x15728E5A),
+    BN_DEF(0x98FA0510, 0x15D22618), BN_DEF(0xEA956AE5, 0x3995497C),
+    BN_DEF(0x95581718, 0xDE2BCBF6), BN_DEF(0x6F4C52C9, 0xB5C55DF0),
+    BN_DEF(0xEC07A28F, 0x9B2783A2), BN_DEF(0x180E8603, 0xE39E772C),
+    BN_DEF(0x2E36CE3B, 0x32905E46), BN_DEF(0xCA18217C, 0xF1746C08),
+    BN_DEF(0x4ABC9804, 0x670C354E), BN_DEF(0x7096966D, 0x9ED52907),
+    BN_DEF(0x208552BB, 0x1C62F356), BN_DEF(0xDCA3AD96, 0x83655D23),
+    BN_DEF(0xFD24CF5F, 0x69163FA8), BN_DEF(0x1C55D39A, 0x98DA4836),
+    BN_DEF(0xA163BF05, 0xC2007CB8), BN_DEF(0xECE45B3D, 0x49286651),
+    BN_DEF(0x7C4B1FE6, 0xAE9F2411), BN_DEF(0x5A899FA5, 0xEE386BFB),
+    BN_DEF(0xF406B7ED, 0x0BFF5CB6), BN_DEF(0xA637ED6B, 0xF44C42E9),
+    BN_DEF(0x625E7EC6, 0xE485B576), BN_DEF(0x6D51C245, 0x4FE1356D),
+    BN_DEF(0xF25F1437, 0x302B0A6D), BN_DEF(0xCD3A431B, 0xEF9519B3),
+    BN_DEF(0x8E3404DD, 0x514A0879), BN_DEF(0x3B139B22, 0x020BBEA6),
+    BN_DEF(0x8A67CC74, 0x29024E08), BN_DEF(0x80DC1CD1, 0xC4C6628B),
+    BN_DEF(0x2168C234, 0xC90FDAA2), BN_DEF(0xFFFFFFFF, 0xFFFFFFFF)
 };
 
-static const BN_ULONG ffdhe8192_p[] = {
-    0xFFFFFFFFFFFFFFFFULL, 0xD68C8BB7C5C6424CULL, 0x011E2A94838FF88CULL,
-    0x0822E506A9F4614EULL, 0x97D11D49F7A8443DULL, 0xA6BBFDE530677F0DULL,
-    0x2F741EF8C1FE86FEULL, 0xFAFABE1C5D71A87EULL, 0xDED2FBABFBE58A30ULL,
-    0xB6855DFE72B0A66EULL, 0x1EFC8CE0BA8A4FE8ULL, 0x83F81D4A3F2FA457ULL,
-    0xA1FE3075A577E231ULL, 0xD5B8019488D9C0A0ULL, 0x624816CDAD9A95F9ULL,
-    0x99E9E31650C1217BULL, 0x51AA691E0E423CFCULL, 0x1C217E6C3826E52CULL,
-    0x51A8A93109703FEEULL, 0xBB7099876A460E74ULL, 0x541FC68C9C86B022ULL,
-    0x59160CC046FD8251ULL, 0x2846C0BA35C35F5CULL, 0x54504AC78B758282ULL,
-    0x29388839D2AF05E4ULL, 0xCB2C0F1CC01BD702ULL, 0x555B2F747C932665ULL,
-    0x86B63142A3AB8829ULL, 0x0B8CC3BDF64B10EFULL, 0x687FEB69EDD1CC5EULL,
-    0xFDB23FCEC9509D43ULL, 0x1E425A31D951AE64ULL, 0x36AD004CF600C838ULL,
-    0xA40E329CCFF46AAAULL, 0xA41D570D7938DAD4ULL, 0x62A69526D43161C1ULL,
-    0x3FDD4A8E9ADB1E69ULL, 0x5B3B71F9DC6B80D6ULL, 0xEC9D1810C6272B04ULL,
-    0x8CCF2DD5CACEF403ULL, 0xE49F5235C95B9117ULL, 0x505DC82DB854338AULL,
-    0x62292C311562A846ULL, 0xD72B03746AE77F5EULL, 0xF9C9091B462D538CULL,
-    0x0AE8DB5847A67CBEULL, 0xB3A739C122611682ULL, 0xEEAAC0232A281BF6ULL,
-    0x94C6651E77CAF992ULL, 0x763E4E4B94B2BBC1ULL, 0x587E38DA0077D9B4ULL,
-    0x7FB29F8C183023C3ULL, 0x0ABEC1FFF9E3A26EULL, 0xA00EF092350511E3ULL,
-    0xB855322EDB6340D8ULL, 0xA52471F7A9A96910ULL, 0x388147FB4CFDB477ULL,
-    0x9B1F5C3E4E46041FULL, 0xCDAD0657FCCFEC71ULL, 0xB38E8C334C701C3AULL,
-    0x917BDD64B1C0FD4CULL, 0x3BB454329B7624C8ULL, 0x23BA4442CAF53EA6ULL,
-    0x4E677D2C38532A3AULL, 0x0BFD64B645036C7AULL, 0xC68A007E5E0DD902ULL,
-    0x4DB5A851F44182E1ULL, 0x8EC9B55A7F88A46BULL, 0x0A8291CDCEC97DCFULL,
-    0x2A4ECEA9F98D0ACCULL, 0x1A1DB93D7140003CULL, 0x092999A333CB8B7AULL,
-    0x6DC778F971AD0038ULL, 0xA907600A918130C4ULL, 0xED6A1E012D9E6832ULL,
-    0x7135C886EFB4318AULL, 0x87F55BA57E31CC7AULL, 0x7763CF1D55034004ULL,
-    0xAC7D5F42D69F6D18ULL, 0x7930E9E4E58857B6ULL, 0x6E6F52C3164DF4FBULL,
-    0x25E41D2B669E1EF1ULL, 0x3C1B20EE3FD59D7CULL, 0x0ABCD06BFA53DDEFULL,
-    0x1DBF9A42D5C4484EULL, 0xABC521979B0DEADAULL, 0xE86D2BC522363A0DULL,
-    0x5CAE82AB9C9DF69EULL, 0x64F2E21E71F54BFFULL, 0xF4FD4452E2D74DD3ULL,
-    0xB4130C93BC437944ULL, 0xAEFE130985139270ULL, 0x598CB0FAC186D91CULL,
-    0x7AD91D2691F7F7EEULL, 0x61B46FC9D6E6C907ULL, 0xBC34F4DEF99C0238ULL,
-    0xDE355B3B6519035BULL, 0x886B4238611FCFDCULL, 0xC6F34A26C1B2EFFAULL,
-    0xC58EF1837D1683B2ULL, 0x3BB5FCBC2EC22005ULL, 0xC3FE3B1B4C6FAD73ULL,
-    0x8E4F1232EEF28183ULL, 0x9172FE9CE98583FFULL, 0xC03404CD28342F61ULL,
-    0x9E02FCE1CDF7E2ECULL, 0x0B07A7C8EE0A6D70ULL, 0xAE56EDE76372BB19ULL,
-    0x1D4F42A3DE394DF4ULL, 0xB96ADAB760D7F468ULL, 0xD108A94BB2C8E3FBULL,
-    0xBC0AB182B324FB61ULL, 0x30ACCA4F483A797AULL, 0x1DF158A136ADE735ULL,
-    0xE2A689DAF3EFE872ULL, 0x984F0C70E0E68B77ULL, 0xB557135E7F57C935ULL,
-    0x856365553DED1AF3ULL, 0x2433F51F5F066ED0ULL, 0xD3DF1ED5D5FD6561ULL,
-    0xF681B202AEC4617AULL, 0x7D2FE363630C75D8ULL, 0xCC939DCE249B3EF9ULL,
-    0xA9E13641146433FBULL, 0xD8B9C583CE2D3695ULL, 0xAFDC5620273D3CF1ULL,
-    0xADF85458A2BB4A9AULL, 0xFFFFFFFFFFFFFFFFULL
+/*
+ * "8192-bit MODP Group" from RFC3526, Section 7.
+ *
+ * The prime is: 2^8192 - 2^8128 - 1 + 2^64 * { [2^8062 pi] + 4743158 }
+ *
+ * RFC3526 specifies a generator of 2.
+ */
+static const BN_ULONG modp_8192_p[] = {
+    BN_DEF(0xFFFFFFFF, 0xFFFFFFFF), BN_DEF(0x98EDD3DF, 0x60C980DD),
+    BN_DEF(0x80B96E71, 0xC81F56E8), BN_DEF(0x765694DF, 0x9E3050E2),
+    BN_DEF(0x5677E9AA, 0x9558E447), BN_DEF(0xFC026E47, 0xC9190DA6),
+    BN_DEF(0xD5EE382B, 0x889A002E), BN_DEF(0x481C6CD7, 0x4009438B),
+    BN_DEF(0xEB879F92, 0x359046F4), BN_DEF(0x1ECFA268, 0xFAF36BC3),
+    BN_DEF(0x7EE74D73, 0xB1D510BD), BN_DEF(0x5DED7EA1, 0xF9AB4819),
+    BN_DEF(0x0846851D, 0x64F31CC5), BN_DEF(0xA0255DC1, 0x4597E899),
+    BN_DEF(0x74AB6A36, 0xDF310EE0), BN_DEF(0x3F44F82D, 0x6D2A13F8),
+    BN_DEF(0xB3A278A6, 0x062B3CF5), BN_DEF(0xED5BDD3A, 0x79683303),
+    BN_DEF(0xA2C087E8, 0xFA9D4B7F), BN_DEF(0x2F8385DD, 0x4BCBC886),
+    BN_DEF(0x6CEA306B, 0x3473FC64), BN_DEF(0x1A23F0C7, 0x13EB57A8),
+    BN_DEF(0xA4037C07, 0x22222E04), BN_DEF(0xFC848AD9, 0xE3FDB8BE),
+    BN_DEF(0xE39D652D, 0x238F16CB), BN_DEF(0x2BF1C978, 0x3423B474),
+    BN_DEF(0x5AE4F568, 0x3AAB639C), BN_DEF(0x6BA42466, 0x2576F693),
+    BN_DEF(0x8AFC47ED, 0x741FA7BF), BN_DEF(0x8D9DD300, 0x3BC832B6),
+    BN_DEF(0x73B931BA, 0xD8BEC4D0), BN_DEF(0xA932DF8C, 0x38777CB6),
+    BN_DEF(0x12FEE5E4, 0x74A3926F), BN_DEF(0x6DBE1159, 0xE694F91E),
+    BN_DEF(0x0B7474D6, 0x12BF2D5B), BN_DEF(0x3F4860EE, 0x043E8F66),
+    BN_DEF(0x6E3C0468, 0x387FE8D7), BN_DEF(0x2EF29632, 0xDA56C9EC),
+    BN_DEF(0xA313D55C, 0xEB19CCB1), BN_DEF(0x8A1FBFF0, 0xF550AA3D),
+    BN_DEF(0xB7C5DA76, 0x06A1D58B), BN_DEF(0xF29BE328, 0xA79715EE),
+    BN_DEF(0x0F8037E0, 0x14CC5ED2), BN_DEF(0xBF48E1D8, 0xCC8F6D7E),
+    BN_DEF(0x2B4154AA, 0x4BD407B2), BN_DEF(0xFF585AC5, 0x0F1D45B7),
+    BN_DEF(0x36CC88BE, 0x23A97A7E), BN_DEF(0xBEC7E8F3, 0x59E7C97F),
+    BN_DEF(0x900B1C9E, 0xB5A84031), BN_DEF(0x46980C82, 0xD55E702F),
+    BN_DEF(0x6E74FEF6, 0xF482D7CE), BN_DEF(0xD1721D03, 0xF032EA15),
+    BN_DEF(0xC64B92EC, 0x5983CA01), BN_DEF(0x378CD2BF, 0x6FB8F401),
+    BN_DEF(0x2BD7AF42, 0x33205151), BN_DEF(0xE6CC254B, 0xDB7F1447),
+    BN_DEF(0xCED4BB1B, 0x44CE6CBA), BN_DEF(0xCF9B14ED, 0xDA3EDBEB),
+    BN_DEF(0x865A8918, 0x179727B0), BN_DEF(0x9027D831, 0xB06A53ED),
+    BN_DEF(0x413001AE, 0xE5DB382F), BN_DEF(0xAD9E530E, 0xF8FF9406),
+    BN_DEF(0x3DBA37BD, 0xC9751E76), BN_DEF(0x602646DE, 0xC1D4DCB2),
+    BN_DEF(0xD27C7026, 0x36C3FAB4), BN_DEF(0x34028492, 0x4DF435C9),
+    BN_DEF(0x90A6C08F, 0x86FFB7DC), BN_DEF(0x8D8FDDC1, 0x93B4EA98),
+    BN_DEF(0xD5B05AA9, 0xD0069127), BN_DEF(0x2170481C, 0xB81BDD76),
+    BN_DEF(0xCEE2D7AF, 0x1F612970), BN_DEF(0x515BE7ED, 0x233BA186),
+    BN_DEF(0xA090C3A2, 0x99B2964F), BN_DEF(0x4E6BC05D, 0x287C5947),
+    BN_DEF(0x1FBECAA6, 0x2E8EFC14), BN_DEF(0x04DE8EF9, 0xDBBBC2DB),
+    BN_DEF(0x2AD44CE8, 0x2583E9CA), BN_DEF(0xB6150BDA, 0x1A946834),
+    BN_DEF(0x6AF4E23C, 0x99C32718), BN_DEF(0xBDBA5B26, 0x88719A10),
+    BN_DEF(0xA787E6D7, 0x1A723C12), BN_DEF(0xA9210801, 0x4B82D120),
+    BN_DEF(0xE0FD108E, 0x43DB5BFC), BN_DEF(0x74E5AB31, 0x08E24FA0),
+    BN_DEF(0xBAD946E2, 0x770988C0), BN_DEF(0x7A615D6C, 0xBBE11757),
+    BN_DEF(0x177B200C, 0x521F2B18), BN_DEF(0x3EC86A64, 0xD8760273),
+    BN_DEF(0xD98A0864, 0xF12FFA06), BN_DEF(0x1AD2EE6B, 0xCEE3D226),
+    BN_DEF(0x4A25619D, 0x1E8C94E0), BN_DEF(0xDB0933D7, 0xABF5AE8C),
+    BN_DEF(0xA6E1E4C7, 0xB3970F85), BN_DEF(0x5D060C7D, 0x8AEA7157),
+    BN_DEF(0x58DBEF0A, 0xECFB8504), BN_DEF(0xDF1CBA64, 0xA85521AB),
+    BN_DEF(0x04507A33, 0xAD33170D), BN_DEF(0x8AAAC42D, 0x15728E5A),
+    BN_DEF(0x98FA0510, 0x15D22618), BN_DEF(0xEA956AE5, 0x3995497C),
+    BN_DEF(0x95581718, 0xDE2BCBF6), BN_DEF(0x6F4C52C9, 0xB5C55DF0),
+    BN_DEF(0xEC07A28F, 0x9B2783A2), BN_DEF(0x180E8603, 0xE39E772C),
+    BN_DEF(0x2E36CE3B, 0x32905E46), BN_DEF(0xCA18217C, 0xF1746C08),
+    BN_DEF(0x4ABC9804, 0x670C354E), BN_DEF(0x7096966D, 0x9ED52907),
+    BN_DEF(0x208552BB, 0x1C62F356), BN_DEF(0xDCA3AD96, 0x83655D23),
+    BN_DEF(0xFD24CF5F, 0x69163FA8), BN_DEF(0x1C55D39A, 0x98DA4836),
+    BN_DEF(0xA163BF05, 0xC2007CB8), BN_DEF(0xECE45B3D, 0x49286651),
+    BN_DEF(0x7C4B1FE6, 0xAE9F2411), BN_DEF(0x5A899FA5, 0xEE386BFB),
+    BN_DEF(0xF406B7ED, 0x0BFF5CB6), BN_DEF(0xA637ED6B, 0xF44C42E9),
+    BN_DEF(0x625E7EC6, 0xE485B576), BN_DEF(0x6D51C245, 0x4FE1356D),
+    BN_DEF(0xF25F1437, 0x302B0A6D), BN_DEF(0xCD3A431B, 0xEF9519B3),
+    BN_DEF(0x8E3404DD, 0x514A0879), BN_DEF(0x3B139B22, 0x020BBEA6),
+    BN_DEF(0x8A67CC74, 0x29024E08), BN_DEF(0x80DC1CD1, 0xC4C6628B),
+    BN_DEF(0x2168C234, 0xC90FDAA2), BN_DEF(0xFFFFFFFF, 0xFFFFFFFF)
 };
 
-# elif BN_BITS2 == 32
-
+/* DH parameters from RFC5114 */
 static const BN_ULONG dh1024_160_p[] = {
-    0x2E4A4371, 0xDF1FB2BC, 0x6D4DA708, 0xE68CFDA7, 0x365C1A65, 0x45BF37DF,
-    0x0DC8B4BD, 0xA151AF5F, 0xF55BCCC0, 0xFAA31A4F, 0xE5644738, 0x4EFFD6FA,
-    0x219A7372, 0x98488E9C, 0x90C4BD70, 0xACCBDD7D, 0xD49B83BF, 0x24975C3C,
-    0xA9061123, 0x13ECB4AE, 0x2EE652C0, 0x9838EF1E, 0x75A23D18, 0x6073E286,
-    0x52D23B61, 0x9A6A9DCA, 0xFB06A3C6, 0x52C99FBC, 0xAE5D54EC, 0xDE92DE5E,
-    0xA080E01D, 0xB10B8F96
+    BN_DEF(0x2E4A4371, 0xDF1FB2BC), BN_DEF(0x6D4DA708, 0xE68CFDA7),
+    BN_DEF(0x365C1A65, 0x45BF37DF), BN_DEF(0x0DC8B4BD, 0xA151AF5F),
+    BN_DEF(0xF55BCCC0, 0xFAA31A4F), BN_DEF(0xE5644738, 0x4EFFD6FA),
+    BN_DEF(0x219A7372, 0x98488E9C), BN_DEF(0x90C4BD70, 0xACCBDD7D),
+    BN_DEF(0xD49B83BF, 0x24975C3C), BN_DEF(0xA9061123, 0x13ECB4AE),
+    BN_DEF(0x2EE652C0, 0x9838EF1E), BN_DEF(0x75A23D18, 0x6073E286),
+    BN_DEF(0x52D23B61, 0x9A6A9DCA), BN_DEF(0xFB06A3C6, 0x52C99FBC),
+    BN_DEF(0xAE5D54EC, 0xDE92DE5E), BN_DEF(0xA080E01D, 0xB10B8F96)
 };
 
 static const BN_ULONG dh1024_160_g[] = {
-    0x22B3B2E5, 0x855E6EEB, 0xF97C2A24, 0x858F4DCE, 0x18D08BC8, 0x2D779D59,
-    0x8E73AFA3, 0xD662A4D1, 0x69B6A28A, 0x1DBF0A01, 0x7A091F53, 0xA6A24C08,
-    0x63F80A76, 0x909D0D22, 0xB9A92EE1, 0xD7FBD7D3, 0x9E2749F4, 0x5E91547F,
-    0xB01B886A, 0x160217B4, 0x5504F213, 0x777E690F, 0x5C41564B, 0x266FEA1E,
-    0x14266D31, 0xD6406CFF, 0x58AC507F, 0xF8104DD2, 0xEFB99905, 0x6765A442,
-    0xC3FD3412, 0xA4D1CBD5
+    BN_DEF(0x22B3B2E5, 0x855E6EEB), BN_DEF(0xF97C2A24, 0x858F4DCE),
+    BN_DEF(0x18D08BC8, 0x2D779D59), BN_DEF(0x8E73AFA3, 0xD662A4D1),
+    BN_DEF(0x69B6A28A, 0x1DBF0A01), BN_DEF(0x7A091F53, 0xA6A24C08),
+    BN_DEF(0x63F80A76, 0x909D0D22), BN_DEF(0xB9A92EE1, 0xD7FBD7D3),
+    BN_DEF(0x9E2749F4, 0x5E91547F), BN_DEF(0xB01B886A, 0x160217B4),
+    BN_DEF(0x5504F213, 0x777E690F), BN_DEF(0x5C41564B, 0x266FEA1E),
+    BN_DEF(0x14266D31, 0xD6406CFF), BN_DEF(0x58AC507F, 0xF8104DD2),
+    BN_DEF(0xEFB99905, 0x6765A442), BN_DEF(0xC3FD3412, 0xA4D1CBD5)
 };
 
 static const BN_ULONG dh1024_160_q[] = {
-    0x49462353, 0x64B7CB9D, 0x8ABA4E7D, 0x81A8DF27, 0xF518AA87
+    BN_DEF(0x49462353, 0x64B7CB9D), BN_DEF(0x8ABA4E7D, 0x81A8DF27),
+    (BN_ULONG)0xF518AA87
 };
 
 static const BN_ULONG dh2048_224_p[] = {
-    0x0C10E64F, 0x0AC4DFFE, 0x4E71B81C, 0xCF9DE538, 0xFFA31F71, 0x7EF363E2,
-    0x6B8E75B9, 0xE3FB73C1, 0x4BA80A29, 0xC9B53DCF, 0x16E79763, 0x23F10B0E,
-    0x13042E9B, 0xC52172E4, 0xC928B2B9, 0xBE60E69C, 0xB9E587E8, 0x80CD86A1,
-    0x98C641A4, 0x315D75E1, 0x44328387, 0xCDF93ACC, 0xDC0A486D, 0x15987D9A,
-    0x1FD5A074, 0x7310F712, 0xDE31EFDC, 0x278273C7, 0x415D9330, 0x1602E714,
-    0xBC8985DB, 0x81286130, 0x70918836, 0xB3BF8A31, 0xB9C49708, 0x6A00E0A0,
-    0x8BBC27BE, 0xC6BA0B2C, 0xED34DBF6, 0xC9F98D11, 0xB6C12207, 0x7AD5B7D0,
-    0x55B7394B, 0xD91E8FEF, 0xEFDA4DF8, 0x9037C9ED, 0xAD6AC212, 0x6D3F8152,
-    0x1274A0A6, 0x1DE6B85A, 0x309C180E, 0xEB3D688A, 0x7BA1DF15, 0xAF9A3C40,
-    0xF95A56DB, 0xE6FA141D, 0xB61D0A75, 0xB54B1597, 0x683B9FD1, 0xA20D64E5,
-    0x9559C51F, 0xD660FAA7, 0x9123A9D0, 0xAD107E1E
+    BN_DEF(0x0C10E64F, 0x0AC4DFFE), BN_DEF(0x4E71B81C, 0xCF9DE538),
+    BN_DEF(0xFFA31F71, 0x7EF363E2), BN_DEF(0x6B8E75B9, 0xE3FB73C1),
+    BN_DEF(0x4BA80A29, 0xC9B53DCF), BN_DEF(0x16E79763, 0x23F10B0E),
+    BN_DEF(0x13042E9B, 0xC52172E4), BN_DEF(0xC928B2B9, 0xBE60E69C),
+    BN_DEF(0xB9E587E8, 0x80CD86A1), BN_DEF(0x98C641A4, 0x315D75E1),
+    BN_DEF(0x44328387, 0xCDF93ACC), BN_DEF(0xDC0A486D, 0x15987D9A),
+    BN_DEF(0x1FD5A074, 0x7310F712), BN_DEF(0xDE31EFDC, 0x278273C7),
+    BN_DEF(0x415D9330, 0x1602E714), BN_DEF(0xBC8985DB, 0x81286130),
+    BN_DEF(0x70918836, 0xB3BF8A31), BN_DEF(0xB9C49708, 0x6A00E0A0),
+    BN_DEF(0x8BBC27BE, 0xC6BA0B2C), BN_DEF(0xED34DBF6, 0xC9F98D11),
+    BN_DEF(0xB6C12207, 0x7AD5B7D0), BN_DEF(0x55B7394B, 0xD91E8FEF),
+    BN_DEF(0xEFDA4DF8, 0x9037C9ED), BN_DEF(0xAD6AC212, 0x6D3F8152),
+    BN_DEF(0x1274A0A6, 0x1DE6B85A), BN_DEF(0x309C180E, 0xEB3D688A),
+    BN_DEF(0x7BA1DF15, 0xAF9A3C40), BN_DEF(0xF95A56DB, 0xE6FA141D),
+    BN_DEF(0xB61D0A75, 0xB54B1597), BN_DEF(0x683B9FD1, 0xA20D64E5),
+    BN_DEF(0x9559C51F, 0xD660FAA7), BN_DEF(0x9123A9D0, 0xAD107E1E)
 };
 
 static const BN_ULONG dh2048_224_g[] = {
-    0x191F2BFA, 0x84B890D3, 0x2A7065B3, 0x81BC087F, 0xF6EC0179, 0x19C418E1,
-    0x71CFFF4C, 0x7B5A0F1C, 0x9B6AA4BD, 0xEDFE72FE, 0x94B30269, 0x81E1BCFE,
-    0x8D6C0191, 0x566AFBB4, 0x409D13CD, 0xB539CCE3, 0x5F2FF381, 0x6AA21E7F,
-    0x770589EF, 0xD9E263E4, 0xD19963DD, 0x10E183ED, 0x150B8EEB, 0xB70A8137,
-    0x28C8F8AC, 0x051AE3D4, 0x0C1AB15B, 0xBB77A86F, 0x16A330EF, 0x6E3025E3,
-    0xD6F83456, 0x19529A45, 0x118E98D1, 0xF180EB34, 0x50717CBE, 0xB5F6C6B2,
-    0xDA7460CD, 0x09939D54, 0x22EA1ED4, 0xE2471504, 0x521BC98A, 0xB8A762D0,
-    0x5AC1348B, 0xF4D02727, 0x1999024A, 0xC1766910, 0xA8D66AD7, 0xBE5E9001,
-    0x620A8652, 0xC57DB17C, 0x00C29F52, 0xAB739D77, 0xA70C4AFA, 0xDD921F01,
-    0x10B9A6F0, 0xA6824A4E, 0xCFE4FFE3, 0x74866A08, 0x89998CAF, 0x6CDEBE7B,
-    0x8FFDAC50, 0x9DF30B5C, 0x4F2D9AE3, 0xAC4032EF
+    BN_DEF(0x191F2BFA, 0x84B890D3), BN_DEF(0x2A7065B3, 0x81BC087F),
+    BN_DEF(0xF6EC0179, 0x19C418E1), BN_DEF(0x71CFFF4C, 0x7B5A0F1C),
+    BN_DEF(0x9B6AA4BD, 0xEDFE72FE), BN_DEF(0x94B30269, 0x81E1BCFE),
+    BN_DEF(0x8D6C0191, 0x566AFBB4), BN_DEF(0x409D13CD, 0xB539CCE3),
+    BN_DEF(0x5F2FF381, 0x6AA21E7F), BN_DEF(0x770589EF, 0xD9E263E4),
+    BN_DEF(0xD19963DD, 0x10E183ED), BN_DEF(0x150B8EEB, 0xB70A8137),
+    BN_DEF(0x28C8F8AC, 0x051AE3D4), BN_DEF(0x0C1AB15B, 0xBB77A86F),
+    BN_DEF(0x16A330EF, 0x6E3025E3), BN_DEF(0xD6F83456, 0x19529A45),
+    BN_DEF(0x118E98D1, 0xF180EB34), BN_DEF(0x50717CBE, 0xB5F6C6B2),
+    BN_DEF(0xDA7460CD, 0x09939D54), BN_DEF(0x22EA1ED4, 0xE2471504),
+    BN_DEF(0x521BC98A, 0xB8A762D0), BN_DEF(0x5AC1348B, 0xF4D02727),
+    BN_DEF(0x1999024A, 0xC1766910), BN_DEF(0xA8D66AD7, 0xBE5E9001),
+    BN_DEF(0x620A8652, 0xC57DB17C), BN_DEF(0x00C29F52, 0xAB739D77),
+    BN_DEF(0xA70C4AFA, 0xDD921F01), BN_DEF(0x10B9A6F0, 0xA6824A4E),
+    BN_DEF(0xCFE4FFE3, 0x74866A08), BN_DEF(0x89998CAF, 0x6CDEBE7B),
+    BN_DEF(0x8FFDAC50, 0x9DF30B5C), BN_DEF(0x4F2D9AE3, 0xAC4032EF)
 };
 
 static const BN_ULONG dh2048_224_q[] = {
-    0xB36371EB, 0xBF389A99, 0x4738CEBC, 0x1F80535A, 0x99717710, 0xC58D93FE,
-    0x801C0D34
+    BN_DEF(0xB36371EB, 0xBF389A99), BN_DEF(0x4738CEBC, 0x1F80535A),
+    BN_DEF(0x99717710, 0xC58D93FE), (BN_ULONG)0x801C0D34
 };
 
 static const BN_ULONG dh2048_256_p[] = {
-    0x1E1A1597, 0xDB094AE9, 0xD7EF09CA, 0x693877FA, 0x6E11715F, 0x6116D227,
-    0xC198AF12, 0xA4B54330, 0xD7014103, 0x75F26375, 0x54E710C3, 0xC3A3960A,
-    0xBD0BE621, 0xDED4010A, 0x89962856, 0xC0B857F6, 0x71506026, 0xB3CA3F79,
-    0xE6B486F6, 0x1CCACB83, 0x14056425, 0x67E144E5, 0xA41825D9, 0xF6A167B5,
-    0x96524D8E, 0x3AD83477, 0x51BFA4AB, 0xF13C6D9A, 0x35488A0E, 0x2D525267,
-    0xCAA6B790, 0xB63ACAE1, 0x81B23F76, 0x4FDB70C5, 0x12307F5C, 0xBC39A0BF,
-    0xB1E59BB8, 0xB941F54E, 0xD45F9088, 0x6C5BFC11, 0x4275BF7B, 0x22E0B1EF,
-    0x5B4758C0, 0x91F9E672, 0x6BCF67ED, 0x5A8A9D30, 0x97517ABD, 0x209E0C64,
-    0x830E9A7C, 0x3BF4296D, 0x34096FAA, 0x16C3D911, 0x61B2AA30, 0xFAF7DF45,
-    0xD61957D4, 0xE00DF8F1, 0x435E3B00, 0x5D2CEED4, 0x660DD0F2, 0x8CEEF608,
-    0x65195999, 0xFFBBD19C, 0xB4B6663C, 0x87A8E61D
+    BN_DEF(0x1E1A1597, 0xDB094AE9), BN_DEF(0xD7EF09CA, 0x693877FA),
+    BN_DEF(0x6E11715F, 0x6116D227), BN_DEF(0xC198AF12, 0xA4B54330),
+    BN_DEF(0xD7014103, 0x75F26375), BN_DEF(0x54E710C3, 0xC3A3960A),
+    BN_DEF(0xBD0BE621, 0xDED4010A), BN_DEF(0x89962856, 0xC0B857F6),
+    BN_DEF(0x71506026, 0xB3CA3F79), BN_DEF(0xE6B486F6, 0x1CCACB83),
+    BN_DEF(0x14056425, 0x67E144E5), BN_DEF(0xA41825D9, 0xF6A167B5),
+    BN_DEF(0x96524D8E, 0x3AD83477), BN_DEF(0x51BFA4AB, 0xF13C6D9A),
+    BN_DEF(0x35488A0E, 0x2D525267), BN_DEF(0xCAA6B790, 0xB63ACAE1),
+    BN_DEF(0x81B23F76, 0x4FDB70C5), BN_DEF(0x12307F5C, 0xBC39A0BF),
+    BN_DEF(0xB1E59BB8, 0xB941F54E), BN_DEF(0xD45F9088, 0x6C5BFC11),
+    BN_DEF(0x4275BF7B, 0x22E0B1EF), BN_DEF(0x5B4758C0, 0x91F9E672),
+    BN_DEF(0x6BCF67ED, 0x5A8A9D30), BN_DEF(0x97517ABD, 0x209E0C64),
+    BN_DEF(0x830E9A7C, 0x3BF4296D), BN_DEF(0x34096FAA, 0x16C3D911),
+    BN_DEF(0x61B2AA30, 0xFAF7DF45), BN_DEF(0xD61957D4, 0xE00DF8F1),
+    BN_DEF(0x435E3B00, 0x5D2CEED4), BN_DEF(0x660DD0F2, 0x8CEEF608),
+    BN_DEF(0x65195999, 0xFFBBD19C), BN_DEF(0xB4B6663C, 0x87A8E61D)
 };
 
 static const BN_ULONG dh2048_256_g[] = {
-    0x6CC41659, 0x664B4C0F, 0xEF98C582, 0x5E2327CF, 0xD4795451, 0xD647D148,
-    0x90F00EF8, 0x2F630784, 0x1DB246C3, 0x184B523D, 0xCDC67EB6, 0xC7891428,
-    0x0DF92B52, 0x7FD02837, 0x64E0EC37, 0xB3353BBB, 0x57CD0915, 0xECD06E15,
-    0xDF016199, 0xB7D2BBD2, 0x052588B9, 0xC8484B1E, 0x13D3FE14, 0xDB2A3B73,
-    0xD182EA0A, 0xD052B985, 0xE83B9C80, 0xA4BD1BFF, 0xFB3F2E55, 0xDFC967C1,
-    0x767164E1, 0xB5045AF2, 0x6F2F9193, 0x1D14348F, 0x428EBC83, 0x64E67982,
-    0x82D6ED38, 0x8AC376D2, 0xAAB8A862, 0x777DE62A, 0xE9EC144B, 0xDDF463E5,
-    0xC77A57F2, 0x0196F931, 0x41000A65, 0xA55AE313, 0xC28CBB18, 0x901228F8,
-    0x7E8C6F62, 0xBC3773BF, 0x0C6B47B1, 0xBE3A6C1B, 0xAC0BB555, 0xFF4FED4A,
-    0x77BE463F, 0x10DBC150, 0x1A0BA125, 0x07F4793A, 0x21EF2054, 0x4CA7B18F,
-    0x60EDBD48, 0x2E775066, 0x73134D0B, 0x3FB32C9B
+    BN_DEF(0x6CC41659, 0x664B4C0F), BN_DEF(0xEF98C582, 0x5E2327CF),
+    BN_DEF(0xD4795451, 0xD647D148), BN_DEF(0x90F00EF8, 0x2F630784),
+    BN_DEF(0x1DB246C3, 0x184B523D), BN_DEF(0xCDC67EB6, 0xC7891428),
+    BN_DEF(0x0DF92B52, 0x7FD02837), BN_DEF(0x64E0EC37, 0xB3353BBB),
+    BN_DEF(0x57CD0915, 0xECD06E15), BN_DEF(0xDF016199, 0xB7D2BBD2),
+    BN_DEF(0x052588B9, 0xC8484B1E), BN_DEF(0x13D3FE14, 0xDB2A3B73),
+    BN_DEF(0xD182EA0A, 0xD052B985), BN_DEF(0xE83B9C80, 0xA4BD1BFF),
+    BN_DEF(0xFB3F2E55, 0xDFC967C1), BN_DEF(0x767164E1, 0xB5045AF2),
+    BN_DEF(0x6F2F9193, 0x1D14348F), BN_DEF(0x428EBC83, 0x64E67982),
+    BN_DEF(0x82D6ED38, 0x8AC376D2), BN_DEF(0xAAB8A862, 0x777DE62A),
+    BN_DEF(0xE9EC144B, 0xDDF463E5), BN_DEF(0xC77A57F2, 0x0196F931),
+    BN_DEF(0x41000A65, 0xA55AE313), BN_DEF(0xC28CBB18, 0x901228F8),
+    BN_DEF(0x7E8C6F62, 0xBC3773BF), BN_DEF(0x0C6B47B1, 0xBE3A6C1B),
+    BN_DEF(0xAC0BB555, 0xFF4FED4A), BN_DEF(0x77BE463F, 0x10DBC150),
+    BN_DEF(0x1A0BA125, 0x07F4793A), BN_DEF(0x21EF2054, 0x4CA7B18F),
+    BN_DEF(0x60EDBD48, 0x2E775066), BN_DEF(0x73134D0B, 0x3FB32C9B)
 };
 
 static const BN_ULONG dh2048_256_q[] = {
-    0x64F5FBD3, 0xA308B0FE, 0x1EB3750B, 0x99B1A47D, 0x40129DA2, 0xB4479976,
-    0xA709A097, 0x8CF83642
+    BN_DEF(0x64F5FBD3, 0xA308B0FE), BN_DEF(0x1EB3750B, 0x99B1A47D),
+    BN_DEF(0x40129DA2, 0xB4479976), BN_DEF(0xA709A097, 0x8CF83642)
+
 };
 
 /* Primes from RFC 7919 */
-
 static const BN_ULONG ffdhe2048_p[] = {
-    0xFFFFFFFF, 0xFFFFFFFF, 0x61285C97, 0x886B4238, 0xC1B2EFFA, 0xC6F34A26,
-    0x7D1683B2, 0xC58EF183, 0x2EC22005, 0x3BB5FCBC, 0x4C6FAD73, 0xC3FE3B1B,
-    0xEEF28183, 0x8E4F1232, 0xE98583FF, 0x9172FE9C, 0x28342F61, 0xC03404CD,
-    0xCDF7E2EC, 0x9E02FCE1, 0xEE0A6D70, 0x0B07A7C8, 0x6372BB19, 0xAE56EDE7,
-    0xDE394DF4, 0x1D4F42A3, 0x60D7F468, 0xB96ADAB7, 0xB2C8E3FB, 0xD108A94B,
-    0xB324FB61, 0xBC0AB182, 0x483A797A, 0x30ACCA4F, 0x36ADE735, 0x1DF158A1,
-    0xF3EFE872, 0xE2A689DA, 0xE0E68B77, 0x984F0C70, 0x7F57C935, 0xB557135E,
-    0x3DED1AF3, 0x85636555, 0x5F066ED0, 0x2433F51F, 0xD5FD6561, 0xD3DF1ED5,
-    0xAEC4617A, 0xF681B202, 0x630C75D8, 0x7D2FE363, 0x249B3EF9, 0xCC939DCE,
-    0x146433FB, 0xA9E13641, 0xCE2D3695, 0xD8B9C583, 0x273D3CF1, 0xAFDC5620,
-    0xA2BB4A9A, 0xADF85458, 0xFFFFFFFF, 0xFFFFFFFF
+    BN_DEF(0xFFFFFFFF, 0xFFFFFFFF), BN_DEF(0x61285C97, 0x886B4238),
+    BN_DEF(0xC1B2EFFA, 0xC6F34A26), BN_DEF(0x7D1683B2, 0xC58EF183),
+    BN_DEF(0x2EC22005, 0x3BB5FCBC), BN_DEF(0x4C6FAD73, 0xC3FE3B1B),
+    BN_DEF(0xEEF28183, 0x8E4F1232), BN_DEF(0xE98583FF, 0x9172FE9C),
+    BN_DEF(0x28342F61, 0xC03404CD), BN_DEF(0xCDF7