From 70d63bec9418dd9f4b9dce46fd0f04b6cb00c0fe Mon Sep 17 00:00:00 2001 From: Michael Brown Date: Wed, 17 Jun 2026 13:33:54 +0100 Subject: [PATCH] [crypto] Add RFC 3526 FFDHE key exchange algorithms The family of finite fields defined in RFC 7919 is almost identical to that defined in RFC 3526, with the difference being that the older standard uses the constant "pi" rather than "e". Extend the definition of an FFDHE group to include a pointer to the group constant, add the value of "pi", and define the modp2048, modp3072, and modp4096 FFDHE groups. Signed-off-by: Michael Brown --- src/crypto/ffdhe.c | 97 +++++++--- src/include/ipxe/ffdhe.h | 8 +- src/tests/ffdhe_test.c | 375 +++++++++++++++++++++++++++++++++++++++ 3 files changed, 459 insertions(+), 21 deletions(-) diff --git a/src/crypto/ffdhe.c b/src/crypto/ffdhe.c index 41bd90813..d6f9449be 100644 --- a/src/crypto/ffdhe.c +++ b/src/crypto/ffdhe.c @@ -39,6 +39,10 @@ FILE_SECBOOT ( PERMITTED ); * FFDHE_GROUP() declarations. Doing so would approximately double * the space requirements for both read-only data (from 0.5kB to 1kB) * and for uninitialised data (from 3.5kB to 7kB). + * + * RFC 3526 defines an almost identical family of finite fields all + * constructed from the constant "pi", which may be used by older TLS + * servers. */ #include @@ -46,8 +50,24 @@ FILE_SECBOOT ( PERMITTED ); #include #include -/** Euler's number ("e") */ -static const uint8_t euler[] = { +/** Maximum length of FFDHE prime modulus */ +#define FFDHE_LEN 4096 + +/** Maximum length of group constant portion of FFDHE prime modulus */ +#define FFDHE_CONSTANT_LEN \ + ( FFDHE_LEN - 8 /* high */ - 4 /* lsb32 */ - 8 /* low */ ) + +/** An FFDHE prime modulus */ +#define ffdhe_modulus_t( len ) \ + struct { \ + uint64_t high; \ + uint8_t constant[ len + FFDHE_CONSTANT_LEN - FFDHE_LEN ]; \ + uint32_t lsb32; \ + uint64_t low; \ + } __attribute__ (( packed )) + +/** Euler's constant ("e") */ +static const uint8_t euler[FFDHE_CONSTANT_LEN] = { 0xad, 0xf8, 0x54, 0x58, 0xa2, 0xbb, 0x4a, 0x9a, 0xaf, 0xdc, 0x56, 0x20, 0x27, 0x3d, 0x3c, 0xf1, 0xd8, 0xb9, 0xc5, 0x83, 0xce, 0x2d, 0x36, 0x95, 0xa9, 0xe1, 0x36, 0x41, 0x14, 0x64, 0x33, 0xfb, 0xcc, @@ -95,20 +115,54 @@ static const uint8_t euler[] = { 0xf4, 0x41, 0x82, 0xe1, 0xc6, 0x8a, 0x00, 0x7e }; -/** FFDHE non-Euler length */ -#define FFDHE_PAD_LEN ( 8 /* high */ + 4 /* lsb32 */ + 8 /* low */ ) - -/** An FFDHE prime modulus */ -#define ffdhe_modulus_t( len ) \ - struct { \ - uint64_t high; \ - uint8_t euler[ len - FFDHE_PAD_LEN ]; \ - uint32_t lsb32; \ - uint64_t low; \ - } __attribute__ (( packed )) - -/** Maximum length of big integer values */ -#define FFDHE_LEN ( sizeof ( euler ) + FFDHE_PAD_LEN ) +/** Constant "pi" */ +static const uint8_t pi[FFDHE_CONSTANT_LEN] = { + 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 +}; /** Maximum number of elements in big integer values */ #define FFDHE_SIZE bigint_required_size ( FFDHE_LEN ) @@ -156,7 +210,7 @@ int ffdhe ( struct ffdhe_group *group, const void *public, const void *private, /* Construct modulus */ assert ( sizeof ( *tmp ) == len ); memset ( tmp, 0xff, sizeof ( *tmp ) ); - memcpy ( tmp->euler, euler, sizeof ( tmp->euler ) ); + memcpy ( tmp->constant, group->constant, sizeof ( tmp->constant ) ); tmp->lsb32 = group->lsb32; bigint_init ( modulus, tmp, len ); DBGC ( group, "FFDHE %s mod: %s\n", @@ -200,6 +254,9 @@ int ffdhe ( struct ffdhe_group *group, const void *public, const void *private, } /* Supported groups */ -FFDHE_GROUP ( ffdhe2048, ffdhe2048_algorithm, 2048, 225, 0x61285c97 ); -FFDHE_GROUP ( ffdhe3072, ffdhe3072_algorithm, 3072, 275, 0x66c62e37 ); -FFDHE_GROUP ( ffdhe4096, ffdhe4096_algorithm, 4096, 325, 0x5e655f6a ); +FFDHE_GROUP ( ffdhe2048, ffdhe2048_algorithm, euler, 2048, 225, 0x61285c97 ); +FFDHE_GROUP ( ffdhe3072, ffdhe3072_algorithm, euler, 3072, 275, 0x66c62e37 ); +FFDHE_GROUP ( ffdhe4096, ffdhe4096_algorithm, euler, 4096, 325, 0x5e655f6a ); +FFDHE_GROUP ( modp2048, modp2048_algorithm, pi, 2048, 230, 0x8aacaa68 ); +FFDHE_GROUP ( modp3072, modp3072_algorithm, pi, 3072, 279, 0xa93ad2ca ); +FFDHE_GROUP ( modp4096, modp4096_algorithm, pi, 4096, 328, 0x34063199 ); diff --git a/src/include/ipxe/ffdhe.h b/src/include/ipxe/ffdhe.h index 6f6d9e878..349680fdf 100644 --- a/src/include/ipxe/ffdhe.h +++ b/src/include/ipxe/ffdhe.h @@ -19,6 +19,8 @@ FILE_SECBOOT ( PERMITTED ); struct ffdhe_group { /** Group name */ const char *name; + /** Group constant */ + const uint8_t *constant; /** Length of raw scalar values */ size_t len; /** Number of elements in scalar values */ @@ -35,9 +37,10 @@ extern int ffdhe ( struct ffdhe_group *group, const void *public, const void *private, void *shared ); /** Define a finite field DHE group */ -#define FFDHE_GROUP( _name, _exchange, _bits, _expbits, _lsb ) \ +#define FFDHE_GROUP( _name, _exchange, _constant, _bits, _expbits, _lsb ) \ static struct ffdhe_group _name ## _group = { \ .name = #_name, \ + .constant = (_constant), \ .len = ( _bits / 8 ), \ .size = bigint_required_size ( _bits / 8 ), \ .explen = ( ( _expbits + 7 ) / 8 ), \ @@ -66,5 +69,8 @@ extern int ffdhe ( struct ffdhe_group *group, const void *public, extern struct exchange_algorithm ffdhe2048_algorithm; extern struct exchange_algorithm ffdhe3072_algorithm; extern struct exchange_algorithm ffdhe4096_algorithm; +extern struct exchange_algorithm modp2048_algorithm; +extern struct exchange_algorithm modp3072_algorithm; +extern struct exchange_algorithm modp4096_algorithm; #endif /* _IPXE_FFDHE_H */ diff --git a/src/tests/ffdhe_test.c b/src/tests/ffdhe_test.c index 9b6fea281..d12819db0 100644 --- a/src/tests/ffdhe_test.c +++ b/src/tests/ffdhe_test.c @@ -410,6 +410,378 @@ EXCHANGE_TEST ( ffdhe4096_random, &ffdhe4096_algorithm, 0x88, 0x17, 0xa7, 0x05, 0x4f, 0x43, 0xe4, 0xd2, 0xbf, 0x6b, 0x77, 0x08 ) ); +/* MODP2048, randomly generated keys */ +EXCHANGE_TEST ( modp2048_random, &modp2048_algorithm, + PRIVATE ( 0x01, 0xa4, 0x4e, 0xf0, 0x5a, 0xd9, 0x79, 0xcd, 0xbd, 0xae, + 0xd9, 0x77, 0x9f, 0x51, 0xdc, 0xa3, 0x74, 0x53, 0x39, 0xf4, + 0xa5, 0x3d, 0xeb, 0x03, 0xf6, 0xd2, 0xfd, 0x12, 0x6c ), + PARTNER ( 0xf6, 0x91, 0xc8, 0x2c, 0x69, 0x6d, 0x44, 0x78, 0xa5, 0x8b, + 0x5b, 0x39, 0xea, 0xd2, 0x9d, 0x0f, 0xfe, 0xc8, 0x21, 0xe0, + 0xbb, 0x61, 0xc2, 0x0b, 0xee, 0x70, 0x04, 0xbe, 0x48, 0xf8, + 0xb6, 0x5d, 0x80, 0xe0, 0x8e, 0x2e, 0x92, 0x18, 0x4e, 0xd2, + 0xd9, 0x26, 0x33, 0x25, 0x40, 0x63, 0xbe, 0x1d, 0x9f, 0x48, + 0xf2, 0x05, 0x56, 0x7d, 0xd3, 0x21, 0x40, 0x52, 0x37, 0x77, + 0x37, 0x93, 0x8c, 0x2b, 0x9b, 0x55, 0xb7, 0x23, 0xb9, 0xa1, + 0x9e, 0x31, 0x67, 0xfa, 0x93, 0x27, 0xf6, 0x83, 0x60, 0x8e, + 0x5f, 0x86, 0xba, 0xe1, 0x06, 0x5b, 0x43, 0xa5, 0x6a, 0x75, + 0xfa, 0x84, 0x48, 0xcc, 0x0b, 0x92, 0x9d, 0x4d, 0x56, 0xea, + 0x6e, 0x1c, 0x95, 0x23, 0x8f, 0x2c, 0x9e, 0x94, 0x5c, 0x75, + 0xde, 0x51, 0xcc, 0xd0, 0x9a, 0xbd, 0xed, 0xc0, 0x72, 0x39, + 0x0d, 0xaf, 0xc2, 0x22, 0x02, 0x1e, 0x5f, 0x05, 0x94, 0x4a, + 0xc8, 0x99, 0xe5, 0xc3, 0x31, 0x23, 0x5f, 0xe8, 0xfe, 0xd0, + 0x01, 0xd8, 0xef, 0x17, 0x7f, 0x7a, 0x34, 0x97, 0x68, 0x57, + 0x7e, 0x6c, 0x35, 0xba, 0xae, 0x09, 0x5b, 0xe2, 0x3a, 0xe5, + 0x2c, 0xe6, 0xf4, 0xfa, 0x3b, 0x36, 0x30, 0xe9, 0x71, 0x4c, + 0x8e, 0x74, 0xe7, 0xa3, 0x1b, 0xdf, 0x3f, 0xfc, 0x94, 0x4b, + 0x19, 0x7a, 0xe4, 0x91, 0x27, 0x5f, 0x62, 0x07, 0xb0, 0xdf, + 0x2b, 0x56, 0x83, 0x62, 0xe7, 0x18, 0xce, 0x6a, 0xe0, 0x48, + 0x2f, 0xf0, 0x45, 0xdf, 0x4a, 0xc6, 0xd9, 0x00, 0xfa, 0xef, + 0x1a, 0xc2, 0x1d, 0x4f, 0xf4, 0xd9, 0x7b, 0x84, 0xf1, 0xe1, + 0xb5, 0x6d, 0x00, 0xc2, 0xf9, 0xbc, 0xc4, 0xc2, 0xf1, 0xa2, + 0x96, 0x1b, 0xc3, 0x3a, 0x41, 0x9a, 0x11, 0xa8, 0xe5, 0x42, + 0xfd, 0xad, 0x96, 0x71, 0xcd, 0x20, 0x59, 0x8b, 0xdd, 0xe4, + 0xe7, 0xf9, 0xd9, 0x49, 0x4f, 0x9a ), + PUBLIC ( 0xc0, 0x41, 0xb3, 0xa9, 0x4b, 0x9e, 0x84, 0x8d, 0x3d, 0xaf, + 0x70, 0xec, 0x20, 0xd8, 0x79, 0xa1, 0xbf, 0x08, 0x1a, 0xd6, + 0xeb, 0x34, 0xc9, 0xa8, 0x27, 0x77, 0x72, 0x0b, 0xb0, 0x3b, + 0xa8, 0xf6, 0xfb, 0xf2, 0x37, 0x1b, 0xec, 0xb7, 0x77, 0x26, + 0x84, 0xe2, 0xa8, 0xee, 0x85, 0x57, 0x3a, 0x9b, 0xf9, 0x3a, + 0x1e, 0x2a, 0xbf, 0xd6, 0xf5, 0x21, 0xcc, 0x4b, 0x93, 0xca, + 0x48, 0xa1, 0x68, 0xfa, 0x7c, 0xce, 0x13, 0xbe, 0x6f, 0x44, + 0x40, 0x38, 0x34, 0xf2, 0x0e, 0x98, 0x00, 0xd8, 0x17, 0x5a, + 0x33, 0xb2, 0x2e, 0xa1, 0x27, 0x84, 0x4f, 0x6b, 0x99, 0xdf, + 0x87, 0x62, 0xe7, 0x59, 0xef, 0xb7, 0x97, 0x59, 0x7b, 0x31, + 0x16, 0xdb, 0x2f, 0x69, 0x7e, 0x88, 0xb4, 0x0c, 0x63, 0xf6, + 0x11, 0x5b, 0xa5, 0x7c, 0x5a, 0x8a, 0xf5, 0x14, 0xa6, 0x2d, + 0x2f, 0x30, 0x19, 0x66, 0x77, 0x04, 0x42, 0x51, 0x12, 0xe3, + 0x69, 0x4d, 0xd9, 0x4d, 0x39, 0x80, 0x07, 0xde, 0xcc, 0x11, + 0xb2, 0x72, 0xe1, 0xb0, 0xfb, 0x2f, 0x00, 0x55, 0xa3, 0xa9, + 0xc1, 0xda, 0xf8, 0x7b, 0x57, 0x70, 0x7b, 0x28, 0xd5, 0xb5, + 0xa3, 0xda, 0x46, 0x91, 0x4f, 0x85, 0xb2, 0x3d, 0xd6, 0x8b, + 0x77, 0x43, 0xe7, 0xd6, 0xf6, 0xfc, 0xa6, 0x17, 0xfc, 0xce, + 0x9f, 0xbc, 0x2b, 0x38, 0xc1, 0xc9, 0x41, 0xa1, 0x62, 0x09, + 0x9b, 0x14, 0xed, 0x89, 0xbf, 0x87, 0x7d, 0x6b, 0x64, 0x1b, + 0x8e, 0x5b, 0x68, 0x59, 0xe3, 0x0c, 0x01, 0xa1, 0x6e, 0xe5, + 0x4a, 0xeb, 0xc9, 0x88, 0x54, 0x1e, 0x3a, 0x0a, 0x2f, 0xf0, + 0xf5, 0x38, 0x55, 0x8d, 0x30, 0xf1, 0x68, 0x3e, 0xea, 0x5a, + 0x57, 0x3b, 0x01, 0x56, 0xc2, 0x1b, 0x27, 0x2a, 0x91, 0x17, + 0x1f, 0x55, 0x5e, 0xb7, 0xbf, 0xd1, 0xfe, 0xcb, 0xa6, 0x74, + 0xc1, 0x17, 0xd4, 0x01, 0x1f, 0x26 ), + SHARED ( 0xf1, 0x4b, 0x16, 0x0e, 0xd4, 0x6e, 0x66, 0x00, 0x2f, 0xc9, + 0x44, 0xd0, 0xf9, 0x6e, 0x0a, 0xa9, 0x74, 0x4f, 0xc0, 0x9c, + 0x11, 0xcb, 0x07, 0x0e, 0x73, 0x4c, 0x5d, 0x93, 0xfd, 0x63, + 0x26, 0x7c, 0x6e, 0x2f, 0xfb, 0x20, 0xa4, 0x92, 0xa9, 0xd2, + 0x6e, 0x27, 0xf4, 0x27, 0x09, 0x48, 0xc6, 0xd3, 0x1e, 0x75, + 0xef, 0xff, 0xff, 0x2d, 0x8c, 0x8e, 0xed, 0x0c, 0x48, 0x2f, + 0xfb, 0x77, 0x28, 0x9b, 0x8d, 0x51, 0x94, 0x7d, 0x15, 0xc7, + 0xc6, 0x5a, 0xf5, 0x50, 0x34, 0x00, 0x73, 0x8b, 0x0f, 0x9f, + 0x98, 0x58, 0x9c, 0x08, 0x9c, 0x37, 0x3d, 0xfa, 0xd6, 0x5f, + 0x87, 0x08, 0xea, 0x30, 0x05, 0x83, 0x4c, 0xaa, 0xbb, 0x13, + 0xb4, 0x7e, 0xf8, 0xba, 0xac, 0xe8, 0xbb, 0x2b, 0x3b, 0xbe, + 0x87, 0x62, 0xb7, 0xab, 0x52, 0x1e, 0x1d, 0xa1, 0xdc, 0x9b, + 0xa9, 0xe8, 0xe6, 0xb1, 0x67, 0xca, 0x50, 0x7a, 0x22, 0xbd, + 0x98, 0x4a, 0x6f, 0xce, 0x21, 0x9c, 0x7c, 0x26, 0x3a, 0x93, + 0x04, 0x32, 0xd0, 0xd9, 0xe5, 0xfc, 0x16, 0xb1, 0xd7, 0x14, + 0x47, 0x1e, 0xba, 0x0a, 0x22, 0xc2, 0x52, 0x11, 0x54, 0x7d, + 0x31, 0x3a, 0x86, 0x8b, 0x53, 0x8d, 0x67, 0x49, 0x1c, 0xa2, + 0x5e, 0x41, 0xc9, 0xd5, 0x6e, 0x81, 0xd8, 0x11, 0x67, 0xba, + 0xfd, 0xe0, 0xd4, 0x6f, 0x14, 0x22, 0x11, 0x8c, 0x26, 0x80, + 0x13, 0xe3, 0xe8, 0x69, 0xfc, 0x05, 0x0c, 0xae, 0x30, 0x57, + 0x85, 0xbd, 0x4e, 0x4a, 0x8e, 0x35, 0xe0, 0xa5, 0x3a, 0xc8, + 0x24, 0xfe, 0x61, 0x22, 0x9d, 0x3e, 0x7d, 0xc5, 0x14, 0x77, + 0x15, 0xbe, 0xc2, 0x1f, 0xf0, 0xa4, 0xeb, 0x23, 0xc6, 0xb7, + 0xc7, 0x44, 0x84, 0xee, 0xb6, 0x9f, 0xad, 0x48, 0x8b, 0xe7, + 0x7c, 0xef, 0xa0, 0xe0, 0xbd, 0x0d, 0xd4, 0xaf, 0x71, 0x5f, + 0x46, 0xb1, 0xfa, 0x17, 0x9a, 0x2d ) ); + +/* MODP3072, randomly generated keys */ +EXCHANGE_TEST ( modp3072_random, &modp3072_algorithm, + PRIVATE ( 0x01, 0xb0, 0x1e, 0x7d, 0x2e, 0x45, 0x78, 0x9d, 0x93, 0x13, + 0x8c, 0x66, 0xf0, 0x0d, 0x70, 0xa4, 0x93, 0xa4, 0xb2, 0x96, + 0x25, 0xae, 0x39, 0x57, 0x8d, 0x26, 0xd2, 0xe7, 0x2e, 0xe4, + 0x4b, 0xd2, 0xff, 0x53, 0x82 ), + PARTNER ( 0x4d, 0x7a, 0x53, 0x2a, 0x99, 0x4e, 0xa9, 0x0c, 0xce, 0x39, + 0xda, 0x80, 0xed, 0x33, 0xaf, 0xe1, 0xc3, 0x12, 0x56, 0x98, + 0xb5, 0x9f, 0xd4, 0x8f, 0xf4, 0x47, 0xaf, 0x8a, 0xcd, 0xaa, + 0x9f, 0x3e, 0xc9, 0xa3, 0x0c, 0x33, 0x87, 0xc0, 0x0e, 0x63, + 0x22, 0xcb, 0xb0, 0x2d, 0x2f, 0x14, 0x10, 0x35, 0xff, 0x3b, + 0x8a, 0x9a, 0xb9, 0xa8, 0xe8, 0x81, 0xe1, 0xf4, 0xff, 0xcf, + 0xb4, 0x38, 0xae, 0x8c, 0xf2, 0x83, 0xa2, 0xbb, 0x02, 0x34, + 0x77, 0x54, 0xf1, 0xd5, 0xf0, 0x5b, 0x86, 0xfa, 0xe9, 0x9c, + 0xdd, 0xb4, 0x7d, 0xea, 0xfe, 0x1e, 0xc6, 0x92, 0x53, 0xbb, + 0xb8, 0xb9, 0x7c, 0x4f, 0x70, 0x78, 0x1e, 0xcc, 0xf6, 0x26, + 0xad, 0xea, 0xf6, 0x98, 0xc7, 0x36, 0xda, 0xb9, 0x6f, 0x5e, + 0xe8, 0x55, 0x89, 0x82, 0x20, 0xaf, 0x45, 0x62, 0xa2, 0x74, + 0x9c, 0x0b, 0xe6, 0x33, 0x81, 0x2b, 0xd9, 0xef, 0xcf, 0xd0, + 0x88, 0x67, 0xd0, 0x86, 0xf7, 0xaf, 0x4c, 0xc8, 0xdb, 0x9b, + 0x0f, 0xf1, 0x39, 0x1a, 0x57, 0xdf, 0x91, 0x41, 0x25, 0x8c, + 0x59, 0x62, 0x2e, 0xf7, 0x00, 0x1b, 0x45, 0x90, 0x4c, 0xa7, + 0x53, 0x8e, 0x98, 0xe5, 0xef, 0xe5, 0xd9, 0x3b, 0xd0, 0x64, + 0xf7, 0xbe, 0xce, 0x86, 0x14, 0xeb, 0x6d, 0xb6, 0x95, 0x18, + 0x9b, 0x4a, 0xfd, 0x30, 0x2e, 0x80, 0x4d, 0x12, 0x16, 0x2d, + 0x55, 0x99, 0xf9, 0xb4, 0x80, 0xad, 0xaa, 0x5e, 0x6e, 0xbe, + 0x21, 0x87, 0x2a, 0x47, 0x22, 0x5e, 0x3a, 0xf5, 0x2b, 0x15, + 0xab, 0x30, 0x11, 0xf1, 0x5d, 0x17, 0xd8, 0xc3, 0x47, 0x58, + 0xf9, 0xe1, 0x71, 0x11, 0xaa, 0x4d, 0xb4, 0x1d, 0x6c, 0x52, + 0x0e, 0x58, 0x4a, 0x69, 0x44, 0xea, 0xe1, 0xe8, 0xf3, 0x11, + 0x36, 0xb5, 0xd4, 0x67, 0x2c, 0x99, 0x4c, 0xb1, 0xcf, 0x5a, + 0xee, 0x36, 0x44, 0xcc, 0x40, 0x5c, 0xff, 0x8c, 0xee, 0x7b, + 0xcc, 0xb7, 0x46, 0x55, 0xfe, 0xe8, 0x97, 0xed, 0x23, 0xa7, + 0x38, 0xeb, 0xfa, 0x60, 0xbb, 0xea, 0xc3, 0xc4, 0x82, 0x3c, + 0x70, 0xd9, 0x2d, 0x45, 0x81, 0x77, 0xf4, 0xe1, 0x24, 0xf5, + 0x08, 0x49, 0xce, 0x3f, 0x80, 0x17, 0xe1, 0xdd, 0xf4, 0xf0, + 0x9d, 0xc9, 0x10, 0x64, 0x1f, 0x84, 0x44, 0x70, 0xb3, 0xb8, + 0x64, 0xa3, 0x55, 0x70, 0x23, 0x2b, 0x70, 0x06, 0x3b, 0x35, + 0xd0, 0x83, 0xe1, 0xc2, 0x38, 0xb4, 0x4c, 0xf1, 0x09, 0x19, + 0xf5, 0x8a, 0x20, 0xa4, 0xca, 0x9d, 0xbd, 0x65, 0x7c, 0xab, + 0xbb, 0x0a, 0xd9, 0xd8, 0x73, 0xf8, 0x5f, 0xf8, 0x96, 0x99, + 0xb6, 0x04, 0x81, 0xc9, 0x00, 0x2d, 0x20, 0xda, 0xe1, 0x6a, + 0x67, 0x3f, 0x34, 0x2a, 0xdd, 0x6d, 0xda, 0x0e, 0x95, 0xe7, + 0x99, 0x28, 0x73, 0x7c, 0x11, 0x8d, 0x10, 0xaa, 0xae, 0x1f, + 0xab, 0x6e, 0x52, 0xc2 ), + PUBLIC ( 0x6d, 0xf3, 0x1c, 0x33, 0xbc, 0x2a, 0x2b, 0x34, 0xa0, 0x76, + 0x48, 0x6f, 0xf3, 0xfb, 0xa5, 0x30, 0x0b, 0x5a, 0x1a, 0xb4, + 0x50, 0x06, 0x7a, 0x40, 0x3a, 0x4e, 0x47, 0xe3, 0x9e, 0x28, + 0x21, 0x69, 0x9b, 0xa1, 0x43, 0x40, 0xda, 0xfa, 0x5c, 0x37, + 0xc2, 0x2f, 0x04, 0x25, 0xb1, 0xca, 0x70, 0xe1, 0x08, 0xea, + 0xda, 0xd8, 0x0e, 0x79, 0x88, 0x06, 0x22, 0x99, 0x09, 0x65, + 0xcd, 0x1b, 0xf1, 0x7d, 0x2c, 0x72, 0x0c, 0x03, 0x63, 0x14, + 0xdd, 0x64, 0xff, 0x99, 0xb8, 0x7c, 0xc2, 0x31, 0x0f, 0x6e, + 0x0f, 0x6e, 0x2a, 0xfb, 0x63, 0x96, 0x92, 0xa4, 0x94, 0x9e, + 0x6f, 0x0f, 0xea, 0x46, 0x8e, 0x0d, 0x2f, 0x01, 0x4b, 0x42, + 0xcf, 0x8c, 0x55, 0xc4, 0xcb, 0xb7, 0x1c, 0x38, 0xb3, 0x9b, + 0x55, 0x75, 0x40, 0xf6, 0x67, 0x2f, 0x7f, 0xef, 0xf0, 0x13, + 0x85, 0x4d, 0x0c, 0x95, 0xd3, 0x57, 0x2c, 0xcf, 0x75, 0x37, + 0x66, 0x5f, 0xa9, 0x2d, 0x26, 0x13, 0xaa, 0xc6, 0x6e, 0x5f, + 0x53, 0x52, 0x99, 0x5a, 0xaa, 0x59, 0x66, 0xd7, 0x31, 0x09, + 0x82, 0xf9, 0x6f, 0x6a, 0x00, 0xab, 0x23, 0x47, 0xfc, 0x09, + 0x4e, 0x10, 0x3a, 0x12, 0xd4, 0xf5, 0x58, 0x7e, 0xbb, 0x16, + 0x12, 0x92, 0xa0, 0xa7, 0x17, 0x24, 0x3e, 0x78, 0x79, 0x75, + 0x97, 0xd7, 0x1f, 0xc8, 0xa3, 0x4b, 0x6a, 0xcb, 0x88, 0xd1, + 0xc1, 0x5b, 0x53, 0xee, 0x63, 0x4c, 0xcc, 0x74, 0x17, 0x81, + 0x1a, 0x3a, 0x57, 0x29, 0xc4, 0xd3, 0x34, 0x1f, 0x37, 0xc7, + 0xad, 0xcc, 0xc3, 0xae, 0x2f, 0x76, 0x2a, 0x22, 0xdf, 0xbe, + 0x74, 0x21, 0xc8, 0x0d, 0x42, 0x18, 0x7c, 0xd3, 0x47, 0xfa, + 0x2f, 0x31, 0xab, 0xe1, 0xee, 0x6d, 0xe6, 0x0f, 0x5e, 0xb5, + 0x8f, 0x94, 0xdb, 0xae, 0xbc, 0xb3, 0x65, 0xff, 0x70, 0x1b, + 0xd7, 0x8e, 0xac, 0x9e, 0x70, 0x41, 0xb4, 0xbf, 0x11, 0x6d, + 0x69, 0xc4, 0x24, 0xae, 0xff, 0x37, 0xb7, 0xd8, 0xb8, 0x5a, + 0xca, 0x32, 0x23, 0x2e, 0x1d, 0x7a, 0x83, 0xc0, 0xec, 0xf6, + 0x10, 0x74, 0x0b, 0x4c, 0x9a, 0xd2, 0xb7, 0xee, 0x11, 0x2f, + 0xc7, 0x3c, 0x21, 0xd5, 0x20, 0xcd, 0x17, 0x84, 0x36, 0x72, + 0xe1, 0xa4, 0x76, 0x91, 0xfe, 0xcb, 0x8d, 0x2c, 0xc4, 0x36, + 0xb0, 0xc9, 0x5c, 0x8f, 0x24, 0x88, 0x93, 0xf5, 0xc1, 0x49, + 0xe0, 0x0d, 0x0a, 0x8c, 0xa2, 0x39, 0x84, 0xe5, 0xc0, 0x38, + 0x4b, 0xbe, 0x53, 0x87, 0x90, 0x38, 0xd8, 0xbe, 0x1a, 0xc3, + 0x6d, 0xc6, 0x0c, 0xdc, 0x53, 0x2a, 0xe3, 0xbd, 0xa9, 0x3d, + 0x92, 0x3d, 0x03, 0x19, 0xf1, 0xb7, 0xd7, 0xdc, 0xc2, 0xca, + 0x4b, 0x6b, 0x5a, 0x60, 0xdf, 0x42, 0x31, 0x12, 0xcf, 0x5b, + 0xad, 0xcc, 0xea, 0xa5, 0x2d, 0x11, 0xde, 0x04, 0xd2, 0xcc, + 0xdd, 0x22, 0x0c, 0x6e ), + SHARED ( 0x91, 0xc9, 0x53, 0x77, 0xf4, 0x76, 0x43, 0xdc, 0x15, 0x7e, + 0x96, 0x68, 0x4a, 0x82, 0x58, 0xfb, 0x01, 0x01, 0x20, 0x0c, + 0x8c, 0x89, 0x2c, 0x46, 0x1a, 0x0b, 0xcd, 0x51, 0xcc, 0x4b, + 0x87, 0x3b, 0x0b, 0xba, 0x9d, 0xfc, 0x11, 0x2d, 0x18, 0xae, + 0xe8, 0x06, 0xdd, 0xc4, 0x62, 0x2a, 0x6e, 0xe5, 0x5b, 0x63, + 0x9d, 0xa1, 0xa2, 0x90, 0xec, 0xb4, 0xa2, 0x14, 0x87, 0x03, + 0x3e, 0xf7, 0x5c, 0x32, 0x07, 0x18, 0xec, 0x7f, 0xef, 0xee, + 0xac, 0x98, 0x2c, 0x56, 0xae, 0xdc, 0x05, 0x26, 0x43, 0x62, + 0xd2, 0x4d, 0x10, 0xc9, 0xc6, 0x77, 0xc7, 0x26, 0x8e, 0xb2, + 0x9d, 0x58, 0xda, 0xaf, 0x39, 0x03, 0xf1, 0xb6, 0xec, 0x37, + 0x5b, 0xf6, 0x2b, 0x6f, 0xe8, 0x4a, 0x11, 0xa0, 0xbb, 0x37, + 0x2e, 0xff, 0x02, 0xed, 0xa1, 0x45, 0x80, 0xf3, 0xbc, 0x50, + 0x38, 0x17, 0x27, 0x9e, 0x12, 0xe7, 0xdb, 0x41, 0x7e, 0xe6, + 0x42, 0x73, 0xa6, 0x84, 0x36, 0x97, 0xbf, 0x60, 0xf1, 0x99, + 0x6d, 0xd7, 0xd5, 0xe9, 0xd7, 0x6e, 0x67, 0x89, 0x8a, 0x19, + 0xf8, 0x90, 0x08, 0x68, 0x84, 0x1e, 0x15, 0xfa, 0xbb, 0x27, + 0xa5, 0xd9, 0x73, 0x5b, 0x79, 0x9f, 0x5b, 0xf2, 0xbf, 0x2a, + 0x7a, 0x5c, 0x67, 0x84, 0xd9, 0xae, 0x85, 0xad, 0x29, 0x06, + 0x6e, 0x70, 0x53, 0x25, 0xc6, 0xf5, 0xc5, 0x5e, 0x66, 0xc1, + 0x3b, 0xf1, 0xd0, 0xaf, 0x5a, 0x83, 0xb0, 0x37, 0x36, 0xbc, + 0xd5, 0x87, 0x2e, 0xfb, 0xc0, 0xf7, 0xaa, 0x77, 0x6c, 0x98, + 0x38, 0x91, 0xf7, 0x8b, 0xd5, 0xb7, 0x5a, 0x20, 0x2c, 0xf6, + 0x69, 0xf9, 0x28, 0x32, 0x64, 0x81, 0x97, 0x67, 0x84, 0xee, + 0x4d, 0x5b, 0x1e, 0xa8, 0x55, 0xf3, 0x34, 0xc8, 0xda, 0x90, + 0x1f, 0xf7, 0xcb, 0x34, 0x69, 0xc5, 0x20, 0xf0, 0x3a, 0xbc, + 0x05, 0x22, 0x95, 0xd3, 0x74, 0x00, 0x1d, 0x82, 0x93, 0x6f, + 0x1d, 0xb5, 0x0c, 0xaa, 0x74, 0xc5, 0x0a, 0xce, 0x42, 0x0d, + 0x78, 0xe6, 0x5d, 0x75, 0x7e, 0x91, 0x36, 0x5e, 0xd7, 0x1a, + 0x2a, 0x1c, 0x2d, 0xe2, 0x8a, 0x86, 0x95, 0x4b, 0x34, 0x92, + 0x39, 0x6a, 0xed, 0x87, 0x19, 0xa7, 0xe1, 0xed, 0xb9, 0x1a, + 0x89, 0x06, 0x11, 0x7d, 0x64, 0x07, 0xff, 0x9d, 0xb7, 0x86, + 0x5f, 0x3f, 0xd6, 0x1b, 0xba, 0x17, 0xda, 0x76, 0x34, 0x84, + 0x6a, 0xc6, 0x95, 0x72, 0xbc, 0xb4, 0xa9, 0xe1, 0x00, 0xe1, + 0x2b, 0x35, 0x76, 0xea, 0xfb, 0x0f, 0x6d, 0x0f, 0xd7, 0x00, + 0xe2, 0x60, 0x22, 0x1f, 0xcc, 0xea, 0x08, 0x45, 0xdf, 0x65, + 0x25, 0x50, 0x48, 0x32, 0x83, 0x8e, 0x43, 0x00, 0x7e, 0xc2, + 0xa9, 0x6e, 0xaa, 0xf3, 0xae, 0x37, 0x29, 0x7d, 0x8a, 0xb9, + 0x77, 0xa4, 0xae, 0x16, 0x52, 0x1c, 0x1b, 0x42, 0xf3, 0x7a, + 0x68, 0xeb, 0xe9, 0x8e ) ); + +/* MODP4096, randomly generated keys */ +EXCHANGE_TEST ( modp4096_random, &modp4096_algorithm, + PRIVATE ( 0x1a, 0xab, 0xaa, 0xb7, 0x88, 0xe8, 0x67, 0x12, 0x06, 0x09, + 0xfa, 0x76, 0xa8, 0x92, 0x22, 0x4c, 0xd6, 0x50, 0x1f, 0x8b, + 0xf1, 0xe1, 0xd3, 0xfc, 0xdf, 0x4e, 0x0e, 0x95, 0xab, 0xbb, + 0x8a, 0x7d, 0x24, 0xe9, 0x7e, 0x0d, 0x80, 0xe4, 0xa4, 0xa0, + 0x6c ), + PARTNER ( 0x91, 0x64, 0x1b, 0x78, 0x09, 0x7b, 0xd4, 0x7a, 0x21, 0xb0, + 0xda, 0xc9, 0x8e, 0x15, 0xf1, 0xf8, 0x36, 0xed, 0x87, 0xa4, + 0xa0, 0xf2, 0x34, 0xcb, 0xdc, 0xba, 0x67, 0xae, 0x1d, 0xb2, + 0xf8, 0x9c, 0x1c, 0x14, 0x81, 0x38, 0xee, 0xf7, 0xb3, 0x10, + 0xc3, 0xea, 0xb6, 0xe3, 0x0c, 0x32, 0x39, 0xb3, 0xac, 0xd5, + 0xe9, 0x77, 0xa9, 0x6c, 0x75, 0x88, 0x2c, 0x60, 0x47, 0x7f, + 0x6f, 0x64, 0x7b, 0x32, 0x20, 0xe1, 0x1e, 0x2c, 0x03, 0x1d, + 0x0a, 0x4e, 0x87, 0x9c, 0x8c, 0x3e, 0x4d, 0x5d, 0x33, 0x0d, + 0xe2, 0x53, 0x5a, 0xe8, 0xc7, 0x01, 0xdb, 0xde, 0xdb, 0x55, + 0x47, 0x48, 0x86, 0x3b, 0x74, 0xb4, 0x69, 0x3d, 0x0a, 0x17, + 0xeb, 0x31, 0x8b, 0x0c, 0xe8, 0x35, 0xca, 0x94, 0x7e, 0xd1, + 0xe8, 0x08, 0xf0, 0x37, 0xba, 0x4b, 0xd9, 0x43, 0xad, 0xfd, + 0x27, 0x08, 0xc6, 0x45, 0x49, 0x39, 0xba, 0x8a, 0x16, 0xe1, + 0x10, 0x98, 0xcc, 0x4a, 0xf0, 0x82, 0xba, 0x09, 0xc5, 0x98, + 0x66, 0x0a, 0xe2, 0x88, 0x48, 0xbd, 0x1b, 0xa9, 0x93, 0xc9, + 0x64, 0xe8, 0xe4, 0x5a, 0x41, 0x2c, 0xbd, 0x7e, 0x7e, 0x20, + 0xec, 0x6e, 0x3f, 0xf1, 0x8e, 0xd1, 0xee, 0x60, 0xa1, 0x69, + 0x8b, 0xb7, 0xb1, 0xc9, 0x83, 0xcc, 0x14, 0x30, 0x52, 0xdc, + 0x1d, 0xf7, 0xc0, 0xd1, 0x7b, 0xb5, 0x35, 0x83, 0x6a, 0xf4, + 0x26, 0xb3, 0x13, 0x67, 0x10, 0x38, 0x9c, 0xf5, 0x87, 0x67, + 0x86, 0xb7, 0x5d, 0xb6, 0x02, 0x21, 0xcd, 0x80, 0x6b, 0x3d, + 0x40, 0xec, 0xd2, 0xbd, 0x3c, 0x38, 0xe8, 0xa5, 0xe7, 0xb8, + 0x73, 0x72, 0xdf, 0x9b, 0x2c, 0xc6, 0xc9, 0xe6, 0xfd, 0xf2, + 0x6d, 0xc3, 0x62, 0xdf, 0xe9, 0x1c, 0x2c, 0x33, 0xe0, 0xc8, + 0xb8, 0x36, 0x46, 0x4e, 0xce, 0xc2, 0x16, 0x6a, 0x79, 0x2d, + 0xb8, 0x87, 0x97, 0x40, 0x3e, 0x7e, 0xa9, 0x1d, 0x00, 0xe0, + 0xd0, 0x15, 0xb1, 0x8d, 0xe3, 0x4b, 0x0c, 0x0c, 0x98, 0x99, + 0x89, 0x8e, 0x2a, 0x49, 0x11, 0x55, 0x7e, 0xd2, 0x09, 0xe6, + 0xec, 0xbf, 0x89, 0x99, 0x3d, 0x06, 0xc5, 0x3b, 0x0a, 0xb9, + 0x92, 0x41, 0x38, 0x7c, 0x24, 0x93, 0xa2, 0xae, 0x8d, 0x9b, + 0x59, 0x11, 0xd8, 0x2d, 0x3a, 0x01, 0x59, 0xd4, 0xcb, 0x9e, + 0x9a, 0xab, 0x82, 0x96, 0xe0, 0xd2, 0x41, 0x5a, 0x7b, 0x4c, + 0xbe, 0xae, 0x8c, 0xcc, 0xe6, 0x80, 0xc7, 0x43, 0x38, 0x74, + 0x33, 0x1a, 0x92, 0x53, 0xaf, 0x11, 0xbc, 0x18, 0x67, 0x54, + 0x76, 0x68, 0xd0, 0xe8, 0x0e, 0xdc, 0xb1, 0x4e, 0x54, 0x72, + 0xd9, 0x20, 0x82, 0xa3, 0x45, 0x5c, 0x6a, 0x9d, 0xd7, 0xa2, + 0xf9, 0x32, 0x18, 0x59, 0xc5, 0x10, 0xa6, 0xda, 0xd3, 0xb8, + 0x9c, 0xc0, 0xb6, 0xb6, 0xbc, 0xa0, 0x4d, 0x7e, 0x73, 0x2f, + 0xc8, 0x81, 0xde, 0xfb, 0xc4, 0xb6, 0xad, 0xae, 0x12, 0x28, + 0xa4, 0x59, 0xe5, 0x0c, 0x7c, 0x37, 0x75, 0x37, 0x40, 0x06, + 0x2c, 0xf6, 0x79, 0xde, 0xba, 0x31, 0x41, 0x9a, 0xf2, 0x75, + 0xae, 0xec, 0x0d, 0xe6, 0xf6, 0x0f, 0x57, 0x77, 0xfc, 0x2d, + 0x5d, 0x6d, 0xab, 0xf4, 0xb5, 0x61, 0x04, 0xc9, 0xed, 0xe3, + 0xd9, 0x66, 0xd9, 0x7d, 0xab, 0x0b, 0x28, 0xc7, 0x35, 0xa0, + 0x35, 0xf5, 0xce, 0xcc, 0x99, 0xd6, 0x98, 0x41, 0x8c, 0x31, + 0x20, 0xe5, 0x06, 0xfe, 0xa3, 0x29, 0xf7, 0x12, 0x52, 0x6f, + 0xc7, 0x41, 0xcf, 0x95, 0x75, 0x00, 0x9a, 0xe0, 0x23, 0x64, + 0xf3, 0x46, 0xce, 0xcf, 0x3f, 0x1c, 0x59, 0x2d, 0x3c, 0x03, + 0xc6, 0x19, 0x9f, 0x32, 0x4b, 0x65, 0x00, 0x26, 0x42, 0x9e, + 0x77, 0xb6, 0x66, 0x1a, 0x7f, 0x3c, 0x0d, 0x86, 0x0a, 0x8b, + 0x1a, 0xd8, 0x33, 0x61, 0xef, 0xcb, 0xdd, 0x43, 0xf9, 0x8a, + 0x07, 0x58 ), + PUBLIC ( 0xaf, 0x50, 0x5d, 0x22, 0x1b, 0x67, 0x26, 0x75, 0xa6, 0x74, + 0x3e, 0x0d, 0xbe, 0x02, 0x22, 0xb6, 0x8a, 0x0e, 0x52, 0xc9, + 0x32, 0x48, 0x65, 0x5a, 0x36, 0x55, 0x20, 0x98, 0x72, 0x46, + 0xc0, 0x83, 0x3e, 0xb4, 0x73, 0xd9, 0x64, 0x2d, 0x10, 0xc7, + 0x58, 0x6c, 0xae, 0x4e, 0x81, 0x3e, 0xfa, 0x03, 0x1d, 0x31, + 0x8e, 0x4d, 0x61, 0x55, 0x6f, 0x67, 0x8b, 0xe7, 0x39, 0x64, + 0x83, 0xfa, 0xa0, 0x56, 0x3f, 0x25, 0xf5, 0xcd, 0x74, 0x41, + 0xbb, 0xe5, 0xf3, 0xef, 0xb8, 0xa7, 0x13, 0xf7, 0xd6, 0x78, + 0x0f, 0x0f, 0xc1, 0xa3, 0xcb, 0xec, 0x51, 0x3d, 0xc2, 0x91, + 0xd3, 0x88, 0xb5, 0x2a, 0x46, 0x5a, 0xa9, 0x14, 0x03, 0x34, + 0x4e, 0x4a, 0xc0, 0x09, 0xd5, 0x22, 0x81, 0x4b, 0xc9, 0x3b, + 0x62, 0xd1, 0xad, 0x88, 0xd3, 0x59, 0x14, 0x18, 0x2b, 0xa4, + 0x2a, 0x5e, 0xbb, 0x71, 0x61, 0x18, 0x33, 0x8b, 0xc1, 0x83, + 0x36, 0xb8, 0x32, 0xa5, 0x0e, 0x63, 0xb9, 0xf2, 0x5a, 0x0b, + 0xcc, 0xa1, 0x37, 0x44, 0x33, 0x74, 0x21, 0xba, 0x6d, 0xf8, + 0x3d, 0xdc, 0xc4, 0xf9, 0xc0, 0xcc, 0xd6, 0xdd, 0x8c, 0x7c, + 0x70, 0xf3, 0x43, 0x11, 0x58, 0xcd, 0x5f, 0x59, 0x41, 0x03, + 0x61, 0x5d, 0xf9, 0x9d, 0x65, 0xb1, 0x35, 0xac, 0xf6, 0x3d, + 0x59, 0x2d, 0xe5, 0xfd, 0xa8, 0x88, 0x30, 0x11, 0x94, 0xd7, + 0x8c, 0x84, 0x14, 0xf0, 0x53, 0xcc, 0x5f, 0x94, 0xca, 0x6a, + 0x98, 0x7c, 0xaf, 0x30, 0x48, 0xae, 0x04, 0x90, 0x9e, 0xe1, + 0xd5, 0xb7, 0x7d, 0xd0, 0xb2, 0x09, 0x8c, 0x88, 0xf8, 0x1c, + 0x9f, 0xee, 0xf2, 0x7d, 0xa5, 0xa2, 0xa5, 0x54, 0xed, 0xa7, + 0x49, 0x92, 0x43, 0xc2, 0x5d, 0xb0, 0xe4, 0x87, 0xd0, 0xb6, + 0xa8, 0x56, 0xf8, 0xb9, 0x80, 0xaa, 0x04, 0x28, 0x8c, 0xc3, + 0xa9, 0x15, 0x76, 0xe1, 0xf6, 0x7a, 0x7e, 0x93, 0xee, 0x33, + 0xae, 0xc4, 0xfe, 0xa3, 0x2d, 0x24, 0x88, 0x5d, 0x21, 0xf5, + 0xc7, 0x7c, 0x6c, 0x3a, 0xe0, 0xa7, 0x8e, 0xef, 0xb4, 0x3c, + 0xdf, 0x24, 0xab, 0x4f, 0xd0, 0x58, 0x0a, 0x9d, 0x29, 0xe0, + 0x08, 0x4a, 0xa7, 0x60, 0x79, 0x1e, 0xca, 0xcc, 0x8f, 0x44, + 0xf7, 0xb4, 0xc9, 0x9e, 0x4b, 0x38, 0xa3, 0x35, 0x48, 0x5d, + 0x7c, 0xdd, 0xb4, 0x21, 0x98, 0xa4, 0xa5, 0x89, 0x07, 0xb0, + 0x95, 0x61, 0x90, 0x32, 0x90, 0x5f, 0x36, 0xff, 0xa5, 0xc9, + 0xc2, 0xf5, 0x46, 0xbf, 0x0a, 0xca, 0x54, 0x66, 0x20, 0xcb, + 0x2c, 0x65, 0x46, 0xda, 0x56, 0x47, 0x9a, 0x37, 0xd6, 0xa2, + 0x29, 0x6e, 0x9c, 0x58, 0xeb, 0x70, 0xa5, 0xc0, 0xb2, 0x1f, + 0xf0, 0xf4, 0x7f, 0xaa, 0x38, 0x0c, 0x40, 0x33, 0x03, 0x04, + 0x8e, 0x9e, 0x96, 0x63, 0xb1, 0x34, 0x20, 0x64, 0xe3, 0xc2, + 0xa7, 0xf7, 0x2f, 0x3a, 0x7e, 0x10, 0x72, 0x75, 0xc7, 0xb2, + 0x72, 0xd3, 0xce, 0xf6, 0xa0, 0x83, 0x5a, 0x65, 0x66, 0x8a, + 0xc8, 0x38, 0x85, 0x5c, 0xd8, 0xfc, 0xf7, 0xbc, 0xdf, 0x53, + 0xa5, 0xe0, 0x31, 0x0d, 0x14, 0xa5, 0xf7, 0x17, 0x16, 0xd9, + 0x3d, 0xab, 0x36, 0x3c, 0x4e, 0x36, 0x3f, 0xf0, 0xf1, 0x4b, + 0x1b, 0xc9, 0xdb, 0x8a, 0x91, 0x27, 0x2d, 0xd6, 0xd5, 0x8f, + 0x26, 0x75, 0xd2, 0x9a, 0x45, 0x2d, 0x14, 0x56, 0xdf, 0xf4, + 0x76, 0xd2, 0x99, 0xc6, 0x59, 0x97, 0x9b, 0x0b, 0x2f, 0x98, + 0x6c, 0xba, 0x9c, 0xfb, 0xb5, 0x6f, 0x15, 0x75, 0xd7, 0x75, + 0x4a, 0x54, 0xf8, 0xea, 0xdf, 0x63, 0xbe, 0xf9, 0x9f, 0x7f, + 0x50, 0xdf, 0x22, 0x23, 0xbf, 0xb9, 0x3e, 0xa2, 0x85, 0x6c, + 0x49, 0x3f, 0xd1, 0xec, 0x39, 0xde, 0xd4, 0x31, 0xfc, 0x68, + 0xa0, 0xee, 0x98, 0x60, 0x77, 0xb4, 0xfd, 0xf9, 0xbb, 0xaf, + 0x2e, 0x53 ), + SHARED ( 0x5b, 0x71, 0x82, 0x2f, 0x19, 0xc0, 0xc0, 0xe6, 0x32, 0xc7, + 0x87, 0x34, 0x5e, 0xa8, 0xea, 0x76, 0x17, 0xae, 0x5c, 0x95, + 0x9c, 0xd7, 0xd1, 0x0d, 0x60, 0x77, 0xaf, 0x93, 0x7b, 0x78, + 0xbd, 0xf9, 0xde, 0x20, 0x37, 0x18, 0x1d, 0xfa, 0xff, 0x4b, + 0x3c, 0x42, 0x08, 0xde, 0xf9, 0x15, 0x96, 0xa3, 0xb5, 0x58, + 0x57, 0xa6, 0xd8, 0x2a, 0x79, 0x78, 0x54, 0xfb, 0xd5, 0x88, + 0xf1, 0x7d, 0x9a, 0xcf, 0x19, 0x5e, 0xc1, 0x13, 0x0e, 0xfe, + 0xb2, 0xea, 0x67, 0x82, 0x26, 0xaf, 0x8e, 0x8b, 0xfe, 0x30, + 0x3d, 0x2f, 0xf2, 0x91, 0xf7, 0xff, 0x7d, 0x3c, 0xc7, 0xe9, + 0xca, 0x3e, 0x87, 0x3b, 0xba, 0x77, 0xe6, 0x79, 0x29, 0x7a, + 0xfe, 0x6c, 0x16, 0x58, 0x71, 0xb7, 0xa5, 0x50, 0x7f, 0xd0, + 0xe6, 0x76, 0xf9, 0x65, 0x17, 0x99, 0xc6, 0x4d, 0xdd, 0x3d, + 0x97, 0x1c, 0x11, 0x9c, 0x1e, 0x4f, 0xaa, 0xa0, 0x80, 0xf5, + 0xf5, 0x00, 0x5e, 0x74, 0xac, 0x69, 0xe8, 0x40, 0xb8, 0x62, + 0x52, 0xac, 0x98, 0x2f, 0xc5, 0xeb, 0x43, 0xd4, 0x34, 0x28, + 0xfd, 0x82, 0x99, 0xb5, 0x51, 0x6e, 0x90, 0xf0, 0x41, 0x73, + 0x4b, 0x48, 0x29, 0xe5, 0x86, 0xcd, 0xb9, 0x05, 0xb4, 0x66, + 0x5a, 0xee, 0x6a, 0xe4, 0xab, 0x22, 0x24, 0xf1, 0xfe, 0xf9, + 0x78, 0x80, 0x7c, 0x6a, 0x1a, 0x8f, 0xf2, 0xe3, 0x56, 0xe4, + 0xa4, 0xea, 0x7e, 0x94, 0x53, 0xaf, 0xe8, 0x3b, 0x76, 0x25, + 0xf2, 0xa2, 0xf2, 0xed, 0x44, 0x10, 0xcf, 0xe0, 0xf1, 0x90, + 0x91, 0x3f, 0x4d, 0x3a, 0x3e, 0x65, 0x4c, 0x3c, 0xa4, 0x78, + 0x30, 0x7f, 0x6a, 0x24, 0xc3, 0xe0, 0x36, 0xbe, 0x15, 0xf4, + 0x4a, 0x15, 0xd2, 0x64, 0xe6, 0xa7, 0x9c, 0x4c, 0xea, 0xe9, + 0x4e, 0x2f, 0xe2, 0x16, 0x9a, 0xc2, 0x95, 0x23, 0x15, 0x6a, + 0xa6, 0x19, 0x5d, 0xcd, 0xe7, 0x19, 0xd0, 0x79, 0x79, 0x5d, + 0x12, 0xe3, 0x52, 0x16, 0xd3, 0xde, 0x14, 0x62, 0x7e, 0xd7, + 0xb4, 0x19, 0xe4, 0x63, 0x4f, 0xcb, 0x9b, 0x0a, 0x0b, 0xe9, + 0x39, 0xcf, 0xe7, 0x44, 0xda, 0x7a, 0x6d, 0x60, 0xba, 0x33, + 0x16, 0x8c, 0xeb, 0x6e, 0xa5, 0xa1, 0xca, 0xa8, 0x27, 0x0b, + 0xdc, 0x83, 0x42, 0x01, 0xf7, 0xe3, 0x9c, 0x62, 0xb3, 0x24, + 0xb1, 0xe1, 0x2e, 0x45, 0x3c, 0x43, 0x8d, 0x25, 0x71, 0x58, + 0x10, 0x91, 0x4c, 0x3f, 0x88, 0xe4, 0x64, 0x34, 0xc6, 0xbf, + 0x21, 0xfb, 0x92, 0xe3, 0x0b, 0xf4, 0xa3, 0xf8, 0x32, 0x6f, + 0x2f, 0x47, 0x94, 0x39, 0xbe, 0xec, 0x7d, 0xfa, 0x73, 0x3d, + 0xc8, 0xcd, 0x78, 0x43, 0x68, 0x28, 0x69, 0xd2, 0x5b, 0xe9, + 0x01, 0x30, 0x12, 0xd9, 0x43, 0x0c, 0xc1, 0x9a, 0x0b, 0x6c, + 0x94, 0x10, 0x2f, 0x4e, 0x07, 0x5f, 0xa8, 0xc7, 0xba, 0x6e, + 0x78, 0x46, 0x53, 0x36, 0xce, 0x6b, 0xdd, 0x42, 0x4f, 0xd3, + 0x8e, 0xe6, 0xca, 0x1c, 0x94, 0xe8, 0xa5, 0xe6, 0xc0, 0x66, + 0x08, 0xb9, 0x06, 0x47, 0x3b, 0x93, 0xdc, 0x04, 0x58, 0xed, + 0x0e, 0xce, 0x38, 0xec, 0x2b, 0xbe, 0x2a, 0xe1, 0x2e, 0xfb, + 0x6d, 0xd3, 0x8a, 0x99, 0x83, 0xc2, 0x36, 0x84, 0x94, 0x0c, + 0x75, 0x04, 0xf4, 0xa0, 0x8a, 0x0b, 0x94, 0x46, 0x40, 0x68, + 0x8d, 0xc1, 0x49, 0x9e, 0x11, 0x60, 0xec, 0xc1, 0x51, 0x63, + 0x52, 0xdd, 0x1e, 0x35, 0xfd, 0xce, 0x57, 0xbd, 0xcb, 0x2b, + 0x00, 0xc7, 0x17, 0xf4, 0x4a, 0x76, 0x0a, 0x4a, 0xe5, 0x2a, + 0x52, 0x5d, 0xf5, 0x18, 0x08, 0x86, 0x95, 0x12, 0x64, 0xbf, + 0x0e, 0xea, 0xcd, 0xd0, 0x76, 0x0e, 0xfd, 0x22, 0x42, 0x61, + 0x1e, 0xd9, 0xbf, 0x42, 0x1c, 0xf7, 0x16, 0x43, 0x29, 0xf9, + 0xcd, 0xe8, 0x51, 0x6b, 0x24, 0x14, 0x1b, 0x5b, 0xe5, 0xea, + 0x75, 0xb5 ) ); + /* FFDHE2048, invalid partner key (0) */ EXCHANGE_TEST ( ffdhe2048_zero, &ffdhe2048_algorithm, PRIVATE ( 0x00, 0xd2, 0xf5, 0xb3, 0xfb, 0x1d, 0xbd, 0x64, 0x6e, 0xcf, @@ -597,6 +969,9 @@ static void ffdhe_test_exec ( void ) { exchange_ok ( &ffdhe2048_random ); exchange_ok ( &ffdhe3072_random ); exchange_ok ( &ffdhe4096_random ); + exchange_ok ( &modp2048_random ); + exchange_ok ( &modp3072_random ); + exchange_ok ( &modp4096_random ); /* Invalid partner keys */ exchange_ok ( &ffdhe2048_zero );