diff --git a/src/crypto/ffdhe.c b/src/crypto/ffdhe.c new file mode 100644 index 000000000..7dc9457fc --- /dev/null +++ b/src/crypto/ffdhe.c @@ -0,0 +1,204 @@ +/* + * Copyright (C) 2026 Michael Brown . + * + * This program is free software; you can redistribute it and/or + * modify it under the terms of the GNU General Public License as + * published by the Free Software Foundation; either version 2 of the + * License, or any later version. + * + * This program is distributed in the hope that it will be useful, but + * WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * General Public License for more details. + * + * You should have received a copy of the GNU General Public License + * along with this program; if not, write to the Free Software + * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA + * 02110-1301, USA. + * + * You can also choose to distribute this program under the terms of + * the Unmodified Binary Distribution Licence (as given in the file + * COPYING.UBDL), provided that you have satisfied its requirements. + */ + +FILE_LICENCE ( GPL2_OR_LATER_OR_UBDL ); +FILE_SECBOOT ( PERMITTED ); + +/** @file + * + * Finite Field Diffie-Hellman Ephemeral key exchange + * + * RFC 7919 defines a family of finite fields all constructed from the + * natural logarithm constant "e". + * + * We choose to support only up to ffdhe4096, since this is sufficient + * to exceed the security strength of our RNG (128 bits). + * + * Support for ffdhe6144 and ffdhe8192 could trivially be added by + * simply extending the "euler" constant and adding the relevant + * 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). + */ + +#include +#include +#include + +/** Euler's number ("e") */ +static const uint8_t euler[] = { + 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, + 0x93, 0x9d, 0xce, 0x24, 0x9b, 0x3e, 0xf9, 0x7d, 0x2f, 0xe3, 0x63, + 0x63, 0x0c, 0x75, 0xd8, 0xf6, 0x81, 0xb2, 0x02, 0xae, 0xc4, 0x61, + 0x7a, 0xd3, 0xdf, 0x1e, 0xd5, 0xd5, 0xfd, 0x65, 0x61, 0x24, 0x33, + 0xf5, 0x1f, 0x5f, 0x06, 0x6e, 0xd0, 0x85, 0x63, 0x65, 0x55, 0x3d, + 0xed, 0x1a, 0xf3, 0xb5, 0x57, 0x13, 0x5e, 0x7f, 0x57, 0xc9, 0x35, + 0x98, 0x4f, 0x0c, 0x70, 0xe0, 0xe6, 0x8b, 0x77, 0xe2, 0xa6, 0x89, + 0xda, 0xf3, 0xef, 0xe8, 0x72, 0x1d, 0xf1, 0x58, 0xa1, 0x36, 0xad, + 0xe7, 0x35, 0x30, 0xac, 0xca, 0x4f, 0x48, 0x3a, 0x79, 0x7a, 0xbc, + 0x0a, 0xb1, 0x82, 0xb3, 0x24, 0xfb, 0x61, 0xd1, 0x08, 0xa9, 0x4b, + 0xb2, 0xc8, 0xe3, 0xfb, 0xb9, 0x6a, 0xda, 0xb7, 0x60, 0xd7, 0xf4, + 0x68, 0x1d, 0x4f, 0x42, 0xa3, 0xde, 0x39, 0x4d, 0xf4, 0xae, 0x56, + 0xed, 0xe7, 0x63, 0x72, 0xbb, 0x19, 0x0b, 0x07, 0xa7, 0xc8, 0xee, + 0x0a, 0x6d, 0x70, 0x9e, 0x02, 0xfc, 0xe1, 0xcd, 0xf7, 0xe2, 0xec, + 0xc0, 0x34, 0x04, 0xcd, 0x28, 0x34, 0x2f, 0x61, 0x91, 0x72, 0xfe, + 0x9c, 0xe9, 0x85, 0x83, 0xff, 0x8e, 0x4f, 0x12, 0x32, 0xee, 0xf2, + 0x81, 0x83, 0xc3, 0xfe, 0x3b, 0x1b, 0x4c, 0x6f, 0xad, 0x73, 0x3b, + 0xb5, 0xfc, 0xbc, 0x2e, 0xc2, 0x20, 0x05, 0xc5, 0x8e, 0xf1, 0x83, + 0x7d, 0x16, 0x83, 0xb2, 0xc6, 0xf3, 0x4a, 0x26, 0xc1, 0xb2, 0xef, + 0xfa, 0x88, 0x6b, 0x42, 0x38, 0x61, 0x1f, 0xcf, 0xdc, 0xde, 0x35, + 0x5b, 0x3b, 0x65, 0x19, 0x03, 0x5b, 0xbc, 0x34, 0xf4, 0xde, 0xf9, + 0x9c, 0x02, 0x38, 0x61, 0xb4, 0x6f, 0xc9, 0xd6, 0xe6, 0xc9, 0x07, + 0x7a, 0xd9, 0x1d, 0x26, 0x91, 0xf7, 0xf7, 0xee, 0x59, 0x8c, 0xb0, + 0xfa, 0xc1, 0x86, 0xd9, 0x1c, 0xae, 0xfe, 0x13, 0x09, 0x85, 0x13, + 0x92, 0x70, 0xb4, 0x13, 0x0c, 0x93, 0xbc, 0x43, 0x79, 0x44, 0xf4, + 0xfd, 0x44, 0x52, 0xe2, 0xd7, 0x4d, 0xd3, 0x64, 0xf2, 0xe2, 0x1e, + 0x71, 0xf5, 0x4b, 0xff, 0x5c, 0xae, 0x82, 0xab, 0x9c, 0x9d, 0xf6, + 0x9e, 0xe8, 0x6d, 0x2b, 0xc5, 0x22, 0x36, 0x3a, 0x0d, 0xab, 0xc5, + 0x21, 0x97, 0x9b, 0x0d, 0xea, 0xda, 0x1d, 0xbf, 0x9a, 0x42, 0xd5, + 0xc4, 0x48, 0x4e, 0x0a, 0xbc, 0xd0, 0x6b, 0xfa, 0x53, 0xdd, 0xef, + 0x3c, 0x1b, 0x20, 0xee, 0x3f, 0xd5, 0x9d, 0x7c, 0x25, 0xe4, 0x1d, + 0x2b, 0x66, 0x9e, 0x1e, 0xf1, 0x6e, 0x6f, 0x52, 0xc3, 0x16, 0x4d, + 0xf4, 0xfb, 0x79, 0x30, 0xe9, 0xe4, 0xe5, 0x88, 0x57, 0xb6, 0xac, + 0x7d, 0x5f, 0x42, 0xd6, 0x9f, 0x6d, 0x18, 0x77, 0x63, 0xcf, 0x1d, + 0x55, 0x03, 0x40, 0x04, 0x87, 0xf5, 0x5b, 0xa5, 0x7e, 0x31, 0xcc, + 0x7a, 0x71, 0x35, 0xc8, 0x86, 0xef, 0xb4, 0x31, 0x8a, 0xed, 0x6a, + 0x1e, 0x01, 0x2d, 0x9e, 0x68, 0x32, 0xa9, 0x07, 0x60, 0x0a, 0x91, + 0x81, 0x30, 0xc4, 0x6d, 0xc7, 0x78, 0xf9, 0x71, 0xad, 0x00, 0x38, + 0x09, 0x29, 0x99, 0xa3, 0x33, 0xcb, 0x8b, 0x7a, 0x1a, 0x1d, 0xb9, + 0x3d, 0x71, 0x40, 0x00, 0x3c, 0x2a, 0x4e, 0xce, 0xa9, 0xf9, 0x8d, + 0x0a, 0xcc, 0x0a, 0x82, 0x91, 0xcd, 0xce, 0xc9, 0x7d, 0xcf, 0x8e, + 0xc9, 0xb5, 0x5a, 0x7f, 0x88, 0xa4, 0x6b, 0x4d, 0xb5, 0xa8, 0x51, + 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 ) + +/** Maximum number of elements in big integer values */ +#define FFDHE_SIZE bigint_required_size ( FFDHE_LEN ) + +/** Maximally sized big integer */ +typedef bigint_t ( FFDHE_SIZE ) ffdhe_t; + +/** Temporary storage */ +static struct { + /** Prime modulus */ + ffdhe_t modulus; + /** Base */ + ffdhe_t base; + /** Result */ + ffdhe_t result; + /** Temporary working space */ + union { + uint8_t mod_exp[ bigint_mod_exp_tmp_len ( (ffdhe_t *) NULL ) ]; + uint8_t raw[FFDHE_LEN]; + } tmp; +} ffdhe_temp; + +/** + * Calculate FFDHE result + * + * @v group FFDHE group + * @v public Base public value, or NULL to use generator + * @v private Private exponent + * @v shared Shared result to fill in + * @ret rc Return status code + */ +int ffdhe ( struct ffdhe_group *group, const void *public, const void *private, + void *shared ) { + unsigned int expsize = group->expsize; + unsigned int size = group->size; + size_t explen = group->explen; + size_t len = group->len; + ffdhe_modulus_t ( len ) *tmp = ( ( void * ) &ffdhe_temp.tmp ); + bigint_t ( size ) *modulus = ( ( void * ) &ffdhe_temp.modulus ); + bigint_t ( size ) *base = ( ( void * ) &ffdhe_temp.base ); + bigint_t ( size ) *result = ( ( void * ) &ffdhe_temp.result ); + bigint_t ( expsize ) exponent; + static const uint8_t two[1] = { 2 }; + + /* Construct modulus */ + assert ( sizeof ( *tmp ) == len ); + memset ( tmp, 0xff, sizeof ( *tmp ) ); + memcpy ( tmp->euler, euler, sizeof ( tmp->euler ) ); + tmp->lsb32 = group->lsb32; + bigint_init ( modulus, tmp, len ); + DBGC ( group, "FFDHE %s mod: %s\n", + group->name, bigint_ntoa ( modulus ) ); + + /* Construct base */ + if ( public ) { + bigint_init ( base, public, len ); + } else { + bigint_init ( base, two, sizeof ( two ) ); + } + DBGC ( group, "FFDHE %s %s: %s\n", group->name, + ( public ? "pub" : "gen" ), bigint_ntoa ( base ) ); + + /* Construct exponent */ + bigint_init ( &exponent, private, explen ); + DBGC ( group, "FFDHE %s exp: %s\n", + group->name, bigint_ntoa ( &exponent ) ); + + /* Calculate result */ + bigint_mod_exp ( base, modulus, &exponent, result, &ffdhe_temp.tmp ); + DBGC ( group, "FFDHE %s %s: %s\n", group->name, + ( public ? "shr" : "pub" ), bigint_ntoa ( result ) ); + bigint_done ( result, shared, len ); + + /* Validate result */ + bigint_init ( base, two, sizeof ( two ) ); + if ( ! bigint_is_geq ( result, base ) ) { + /* Result is 0 or 1 */ + DBGC ( group, "FFDHE %s invalid result\n", group->name ); + return -EPERM; + } + bigint_add ( base, result ); + if ( ! bigint_is_geq ( modulus, result ) ) { + /* Result is p-1 */ + DBGC ( group, "FFDHE %s invalid result\n", group->name ); + return -EPERM; + } + + return 0; +} + +/* 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 ); diff --git a/src/include/ipxe/bigint.h b/src/include/ipxe/bigint.h index 9c31f4540..790be4c1c 100644 --- a/src/include/ipxe/bigint.h +++ b/src/include/ipxe/bigint.h @@ -358,11 +358,8 @@ FILE_SECBOOT ( PERMITTED ); * @v modulus Big integer modulus * @ret len Length of temporary working space */ -#define bigint_mod_exp_tmp_len( modulus ) ( { \ - unsigned int size = bigint_size (modulus); \ - sizeof ( struct { \ - bigint_t ( size ) temp[4]; \ - } ); } ) +#define bigint_mod_exp_tmp_len( modulus ) \ + sizeof ( struct { typeof ( *(modulus) ) temp[4]; } ) #include diff --git a/src/include/ipxe/errfile.h b/src/include/ipxe/errfile.h index 048cbe6c6..1398346e0 100644 --- a/src/include/ipxe/errfile.h +++ b/src/include/ipxe/errfile.h @@ -450,6 +450,7 @@ FILE_SECBOOT ( PERMITTED ); #define ERRFILE_ecdhe ( ERRFILE_OTHER | 0x00680000 ) #define ERRFILE_ecdsa ( ERRFILE_OTHER | 0x00690000 ) #define ERRFILE_crypto_null ( ERRFILE_OTHER | 0x006a0000 ) +#define ERRFILE_ffdhe ( ERRFILE_OTHER | 0x006b0000 ) /** @} */ diff --git a/src/include/ipxe/ffdhe.h b/src/include/ipxe/ffdhe.h new file mode 100644 index 000000000..6f6d9e878 --- /dev/null +++ b/src/include/ipxe/ffdhe.h @@ -0,0 +1,70 @@ +#ifndef _IPXE_FFDHE_H +#define _IPXE_FFDHE_H + +/** @file + * + * Finite Field Diffie-Hellman Ephemeral key exchange + * + */ + +FILE_LICENCE ( GPL2_OR_LATER_OR_UBDL ); +FILE_SECBOOT ( PERMITTED ); + +#include +#include +#include +#include + +/** A finite field DHE group */ +struct ffdhe_group { + /** Group name */ + const char *name; + /** Length of raw scalar values */ + size_t len; + /** Number of elements in scalar values */ + unsigned int size; + /** Length of (short) exponents */ + size_t explen; + /** Number of elements in exponent values */ + unsigned int expsize; + /** Least significant interesting bits of modulus (big-endian) */ + uint32_t lsb32; +}; + +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 ) \ + static struct ffdhe_group _name ## _group = { \ + .name = #_name, \ + .len = ( _bits / 8 ), \ + .size = bigint_required_size ( _bits / 8 ), \ + .explen = ( ( _expbits + 7 ) / 8 ), \ + .expsize = bigint_required_size ( ( _expbits + 7 ) / 8 ), \ + .lsb32 = cpu_to_be32 ( _lsb ), \ + }; \ + static void _name ## _public ( const void *private, \ + void *public ) { \ + ffdhe ( &_name ## _group, NULL, private, public ); \ + } \ + static int _name ## _shared ( const void *private, \ + const void *partner, \ + void *shared ) { \ + return ffdhe ( &_name ## _group, partner, private, \ + shared ); \ + } \ + struct exchange_algorithm _exchange = { \ + .name = #_name, \ + .privsize = ( ( _expbits + 7 ) / 8 ), \ + .pubsize = ( _bits / 8 ), \ + .sharedsize = ( _bits / 8 ), \ + .public = _name ## _public, \ + .shared = _name ## _shared, \ + } + +extern struct exchange_algorithm ffdhe2048_algorithm; +extern struct exchange_algorithm ffdhe3072_algorithm; +extern struct exchange_algorithm ffdhe4096_algorithm; + +#endif /* _IPXE_FFDHE_H */ diff --git a/src/tests/ffdhe_test.c b/src/tests/ffdhe_test.c new file mode 100644 index 000000000..9b6fea281 --- /dev/null +++ b/src/tests/ffdhe_test.c @@ -0,0 +1,611 @@ +/* + * Copyright (C) 2025 Michael Brown . + * + * This program is free software; you can redistribute it and/or + * modify it under the terms of the GNU General Public License as + * published by the Free Software Foundation; either version 2 of the + * License, or any later version. + * + * This program is distributed in the hope that it will be useful, but + * WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * General Public License for more details. + * + * You should have received a copy of the GNU General Public License + * along with this program; if not, write to the Free Software + * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA + * 02110-1301, USA. + * + * You can also choose to distribute this program under the terms of + * the Unmodified Binary Distribution Licence (as given in the file + * COPYING.UBDL), provided that you have satisfied its requirements. + */ + +FILE_LICENCE ( GPL2_OR_LATER_OR_UBDL ); + +/** @file + * + * Finite Field Diffie-Hellman Ephemeral key exchange self-tests + * + * Test vectors were generated using openssl. + * + */ + +/* Forcibly enable assertions */ +#undef NDEBUG + +#include +#include +#include "exchange_test.h" + +/* FFDHE2048, randomly generated keys */ +EXCHANGE_TEST ( ffdhe2048_random, &ffdhe2048_algorithm, + PRIVATE ( 0x00, 0xd6, 0xe1, 0xe7, 0x2a, 0x2e, 0xfc, 0x68, 0xbb, 0xee, + 0xa0, 0x10, 0xdf, 0x04, 0x98, 0xfd, 0xd5, 0xeb, 0x8f, 0x7e, + 0x07, 0x35, 0x5f, 0x61, 0x9f, 0xc2, 0x75, 0xa6, 0xd0 ), + PARTNER ( 0xbf, 0x9c, 0xd7, 0x17, 0xf2, 0x35, 0x14, 0x81, 0x79, 0x52, + 0xb9, 0x57, 0x4a, 0xbe, 0x19, 0x22, 0xdb, 0xab, 0x2b, 0x02, + 0xed, 0x30, 0x09, 0x02, 0xcd, 0x08, 0xcc, 0x70, 0x3c, 0x17, + 0x38, 0xbb, 0xcb, 0x40, 0xf6, 0x48, 0x1e, 0x70, 0xc0, 0xc6, + 0x89, 0x67, 0xc8, 0xc6, 0xd9, 0x77, 0x7e, 0x2f, 0x99, 0x55, + 0x4d, 0xbb, 0x99, 0xc9, 0x47, 0xfc, 0xb6, 0x31, 0xc8, 0x1e, + 0xde, 0x5d, 0x6d, 0x93, 0x11, 0x67, 0x87, 0xdf, 0x66, 0x64, + 0x2b, 0xc9, 0x07, 0x08, 0xe5, 0x29, 0x39, 0x28, 0x1b, 0x8d, + 0x3d, 0x45, 0xf7, 0x12, 0x23, 0x9f, 0x01, 0x7f, 0xd6, 0xd1, + 0x59, 0x48, 0x41, 0xe2, 0xa0, 0x33, 0x6e, 0xa6, 0x10, 0xb2, + 0x2c, 0xa4, 0x72, 0xe1, 0xed, 0x1d, 0x15, 0x13, 0x7e, 0x8f, + 0x18, 0xf7, 0x84, 0x87, 0x1f, 0x1c, 0x49, 0xd0, 0xce, 0xb4, + 0xba, 0x64, 0x86, 0x74, 0xde, 0x7f, 0x51, 0xae, 0x51, 0x3d, + 0x83, 0x98, 0xb7, 0xe7, 0x18, 0x90, 0x76, 0x2c, 0x30, 0x22, + 0x14, 0x44, 0x17, 0x6d, 0xb7, 0xa6, 0x87, 0x4d, 0xb7, 0xa4, + 0xf2, 0xc1, 0xe1, 0x38, 0x50, 0xb6, 0x85, 0x22, 0x42, 0xa8, + 0x8e, 0x61, 0x38, 0x03, 0x2a, 0xf0, 0x2b, 0xf2, 0x1e, 0x5a, + 0xf5, 0x79, 0xca, 0x55, 0xf0, 0xce, 0xce, 0x0b, 0xbc, 0x82, + 0x2c, 0x4a, 0x0b, 0x7d, 0x10, 0x1c, 0x8d, 0x4b, 0xd4, 0x56, + 0xbb, 0x7a, 0x74, 0x93, 0x88, 0x8e, 0xb0, 0x92, 0xe8, 0x0b, + 0x43, 0x01, 0x05, 0x11, 0x4b, 0x70, 0x22, 0x80, 0xc3, 0x28, + 0x34, 0xae, 0xb4, 0x94, 0x5d, 0x5b, 0x46, 0x13, 0xb9, 0xc1, + 0x65, 0x97, 0xef, 0x84, 0x65, 0x68, 0x6d, 0x84, 0x0c, 0x2c, + 0xf8, 0xba, 0x57, 0x3f, 0xaf, 0x6c, 0x2c, 0x43, 0xee, 0x50, + 0x67, 0x08, 0xab, 0x3c, 0xbf, 0x90, 0x2e, 0x66, 0x9f, 0xc1, + 0xd5, 0x9d, 0xa6, 0x0e, 0x50, 0x33 ), + PUBLIC ( 0x9e, 0x03, 0x99, 0x2b, 0xb0, 0x68, 0xa2, 0x42, 0xb8, 0xbf, + 0x1b, 0x3f, 0x6b, 0xca, 0x80, 0x57, 0x00, 0x52, 0x26, 0x41, + 0xab, 0x37, 0x2e, 0xaa, 0xfb, 0xc7, 0x6e, 0xe3, 0x3a, 0x05, + 0x11, 0x38, 0x98, 0x3d, 0x9c, 0xe2, 0x0c, 0xe5, 0x0b, 0x98, + 0x12, 0xd0, 0x34, 0x27, 0x64, 0x46, 0x61, 0x43, 0x5f, 0x0b, + 0x81, 0x80, 0x13, 0x95, 0x07, 0x13, 0x56, 0x47, 0xce, 0x98, + 0xa3, 0x08, 0xc7, 0x99, 0xb5, 0x7c, 0x2e, 0xee, 0x54, 0x0c, + 0x0e, 0x0b, 0x3e, 0xee, 0x99, 0x0f, 0x20, 0xe0, 0x4a, 0x63, + 0xf3, 0xaf, 0x1d, 0x4f, 0x26, 0x84, 0xbe, 0xb3, 0x51, 0x42, + 0x81, 0x12, 0x51, 0x84, 0x71, 0xff, 0x93, 0x75, 0x4e, 0x73, + 0x11, 0xbb, 0xc1, 0x95, 0x54, 0x6d, 0x42, 0x5f, 0x5e, 0xba, + 0xf9, 0xc6, 0xa0, 0x64, 0xcf, 0x91, 0x80, 0x6b, 0x1b, 0x0a, + 0x15, 0x8b, 0x0b, 0xf6, 0x48, 0x33, 0xc2, 0xe7, 0x39, 0xfb, + 0x45, 0xee, 0x8e, 0x31, 0xad, 0x65, 0xe5, 0x13, 0xfb, 0xd6, + 0xc6, 0x51, 0x9f, 0x8d, 0x79, 0x6a, 0xad, 0xbc, 0x2e, 0xb3, + 0xe5, 0xc8, 0xdf, 0xfb, 0xb8, 0x20, 0x66, 0x4a, 0x15, 0xc8, + 0x19, 0x93, 0xb6, 0x1c, 0x50, 0x2f, 0x41, 0x30, 0x5e, 0x12, + 0x45, 0x8a, 0x6c, 0x0c, 0x41, 0xf5, 0x35, 0x85, 0x53, 0x0e, + 0x48, 0x3d, 0xae, 0x11, 0xbc, 0x71, 0x05, 0x92, 0x99, 0xbc, + 0xc3, 0x2f, 0x6f, 0x1b, 0x67, 0x72, 0x35, 0xfd, 0xde, 0x47, + 0x5c, 0x99, 0x5c, 0xf0, 0x3a, 0x54, 0xd2, 0x7b, 0x81, 0x45, + 0x7b, 0x06, 0xdd, 0x69, 0xb7, 0xf9, 0x9d, 0x7d, 0x70, 0xa4, + 0x7d, 0x52, 0x0a, 0x55, 0x30, 0xda, 0xd1, 0x79, 0xc1, 0x78, + 0x5e, 0xed, 0xc7, 0x25, 0xe2, 0xc1, 0x7c, 0x8f, 0x80, 0x7a, + 0x84, 0xe5, 0x46, 0xc6, 0x1e, 0xef, 0xb2, 0x0a, 0x88, 0xdf, + 0xa9, 0x76, 0xbe, 0x9f, 0x0e, 0x79 ), + SHARED ( 0xc8, 0x10, 0x83, 0xa1, 0xc1, 0x21, 0xbe, 0x34, 0x90, 0xdd, + 0x90, 0x18, 0x74, 0x71, 0xb2, 0x6d, 0x6f, 0x07, 0x82, 0xe4, + 0xe2, 0x0f, 0x60, 0x47, 0x3b, 0x29, 0x1a, 0x24, 0x20, 0x9e, + 0xd8, 0x2f, 0xfe, 0xbe, 0x68, 0x74, 0x38, 0x15, 0xf7, 0x2b, + 0x65, 0xdb, 0xd8, 0x52, 0x55, 0x20, 0xf6, 0x64, 0x04, 0xf1, + 0x46, 0x74, 0x26, 0x9a, 0x88, 0x85, 0xf9, 0x14, 0x9f, 0xcb, + 0xc6, 0x56, 0x40, 0x6a, 0xbb, 0xed, 0xd3, 0x01, 0xd4, 0x9e, + 0xb1, 0xa8, 0x1c, 0xf9, 0x22, 0x1c, 0xd1, 0x79, 0x09, 0x58, + 0x1e, 0xfe, 0xac, 0xc0, 0xa9, 0x4b, 0xea, 0x81, 0xf2, 0xc3, + 0xf2, 0x64, 0x92, 0xfd, 0x14, 0x7b, 0x7e, 0xd0, 0x36, 0x67, + 0x60, 0x53, 0x1c, 0xfb, 0x62, 0x7c, 0x6e, 0xfd, 0x0a, 0x83, + 0xa9, 0xe4, 0xb9, 0xe5, 0xc0, 0x22, 0xa5, 0xc4, 0xe0, 0xcc, + 0xd4, 0xda, 0x76, 0x0e, 0xdc, 0x8e, 0x59, 0x39, 0x19, 0xa4, + 0x47, 0xce, 0x46, 0x10, 0x15, 0x42, 0x39, 0xc1, 0x34, 0xa2, + 0x76, 0xb0, 0x5f, 0x86, 0xee, 0xa6, 0xf8, 0x0e, 0x1e, 0x49, + 0x4a, 0x71, 0xa2, 0x20, 0xb8, 0x56, 0x52, 0x18, 0x18, 0x5a, + 0xd3, 0xa9, 0xaf, 0xbf, 0x40, 0x02, 0x6a, 0x1e, 0x4c, 0xb2, + 0xe4, 0x5f, 0xee, 0x05, 0x7a, 0x10, 0x2a, 0xb2, 0x99, 0x9f, + 0x22, 0xb4, 0xa2, 0xfa, 0x5e, 0xd1, 0xf7, 0x93, 0x0f, 0x0c, + 0x04, 0x30, 0x01, 0xf6, 0xc4, 0x32, 0x64, 0xe6, 0x1a, 0x7e, + 0xc4, 0x83, 0xf2, 0x43, 0x86, 0xf0, 0x3d, 0xcd, 0x7a, 0x17, + 0xbf, 0xed, 0xff, 0xb8, 0x09, 0xaf, 0x6f, 0x0f, 0xc7, 0x71, + 0x4c, 0x8b, 0xc6, 0x1d, 0xb4, 0xaa, 0x40, 0xb9, 0x3f, 0x74, + 0x06, 0x86, 0xe5, 0x84, 0x41, 0x5c, 0x98, 0x1f, 0x06, 0xc5, + 0xe3, 0xee, 0x0b, 0xa6, 0x8b, 0x43, 0x65, 0x64, 0x47, 0xc5, + 0x72, 0xef, 0x89, 0xb8, 0xdc, 0x6a ) ); + +/* FFDHE3072, randomly generated keys */ +EXCHANGE_TEST ( ffdhe3072_random, &ffdhe3072_algorithm, + PRIVATE ( 0x04, 0x4a, 0x8b, 0xe6, 0x30, 0x2c, 0xfd, 0x0e, 0xf4, 0x63, + 0xe7, 0x5e, 0x1c, 0x18, 0x61, 0x4b, 0x2c, 0x55, 0x68, 0xfb, + 0x87, 0x80, 0x15, 0xbc, 0x18, 0x5b, 0x3a, 0x7b, 0x54, 0xe5, + 0x85, 0xd8, 0xdd, 0x1f, 0xdc ), + PARTNER ( 0xc4, 0x41, 0x0e, 0x17, 0x21, 0xc7, 0x3c, 0x07, 0x7c, 0x34, + 0x5e, 0x37, 0xa7, 0x2f, 0x33, 0x4f, 0x49, 0xb3, 0xfb, 0x50, + 0x20, 0x80, 0x71, 0x0f, 0x1a, 0x02, 0x1f, 0xc4, 0xc8, 0xe7, + 0xe5, 0x6d, 0x10, 0x84, 0xf7, 0x93, 0x6a, 0x1b, 0x8b, 0x08, + 0x8b, 0x3d, 0x73, 0xc8, 0x07, 0x2f, 0xae, 0x80, 0xe1, 0xac, + 0x11, 0x62, 0x42, 0x44, 0xde, 0xe9, 0xa9, 0x84, 0xc9, 0x7e, + 0xe5, 0x3d, 0x9c, 0x20, 0xfd, 0x7f, 0x99, 0xea, 0xa8, 0x94, + 0x47, 0xda, 0xb2, 0x03, 0xc0, 0xd5, 0x34, 0x53, 0xa0, 0xef, + 0xba, 0xdf, 0x6b, 0xbe, 0x28, 0x27, 0x88, 0x14, 0x92, 0xd3, + 0xc6, 0xbf, 0xf3, 0x1a, 0x02, 0x98, 0xf8, 0x2c, 0x94, 0xa7, + 0x1e, 0x0d, 0x0e, 0x15, 0x8e, 0x2b, 0x9b, 0x45, 0x5e, 0x44, + 0x09, 0x82, 0x41, 0xdd, 0xd5, 0x03, 0x82, 0x4a, 0xbc, 0x2b, + 0xa2, 0x24, 0x8f, 0xcf, 0x1c, 0xd4, 0x78, 0x49, 0x66, 0x48, + 0x89, 0x81, 0x55, 0x34, 0xee, 0x41, 0xf6, 0x0f, 0x7e, 0x48, + 0x6b, 0x05, 0xd0, 0x84, 0xc1, 0xb6, 0xd2, 0xe2, 0xed, 0xdd, + 0x3d, 0x87, 0x96, 0x59, 0xd7, 0xb6, 0xca, 0x5c, 0xed, 0x8e, + 0x33, 0xe9, 0x8e, 0x47, 0xa5, 0xab, 0xcd, 0xe9, 0xec, 0x05, + 0xae, 0x2e, 0xa3, 0xcb, 0xe5, 0xb4, 0xfb, 0xb8, 0xde, 0xfb, + 0x7e, 0xc3, 0xfe, 0x50, 0x27, 0xb6, 0xec, 0x3d, 0x7b, 0xc4, + 0xbd, 0xf4, 0x19, 0xed, 0x1e, 0xc6, 0x4a, 0x33, 0xc7, 0x29, + 0x3f, 0x83, 0x1a, 0xc8, 0x52, 0x00, 0x65, 0x43, 0x04, 0xa4, + 0xdc, 0x78, 0x22, 0x90, 0xdd, 0x29, 0x50, 0x54, 0x12, 0xd7, + 0x3a, 0xcc, 0x66, 0x02, 0xbb, 0xfd, 0xac, 0xde, 0xf8, 0x67, + 0x55, 0x6d, 0xb7, 0xb2, 0x12, 0x1f, 0x54, 0x72, 0xfb, 0x92, + 0x16, 0x8b, 0x28, 0x1c, 0x48, 0x59, 0x36, 0x39, 0x8a, 0x21, + 0x76, 0x71, 0xdc, 0x86, 0x94, 0x64, 0xf6, 0x15, 0xd0, 0xe6, + 0xf3, 0x7e, 0x2e, 0xfc, 0x78, 0x8a, 0x48, 0x02, 0xce, 0xeb, + 0xe0, 0x5a, 0xd0, 0x8b, 0x1d, 0x89, 0xcf, 0x6f, 0xf1, 0xb9, + 0xd8, 0x67, 0x80, 0xd8, 0xb8, 0x4f, 0xdc, 0x9c, 0xcb, 0xfe, + 0xe9, 0xc6, 0x12, 0x23, 0xb2, 0x80, 0x70, 0x19, 0xd9, 0x0f, + 0x50, 0x13, 0x00, 0x14, 0x7a, 0x6b, 0x75, 0x51, 0xf9, 0x93, + 0xcc, 0x87, 0x1b, 0xdd, 0x2e, 0x8e, 0x20, 0x9f, 0x69, 0xab, + 0xc2, 0x7f, 0x13, 0x93, 0x26, 0x1e, 0x37, 0x9e, 0x82, 0x1b, + 0x54, 0xf0, 0x38, 0x96, 0x09, 0x6a, 0x4d, 0x1b, 0x1b, 0x42, + 0xe7, 0x4e, 0x78, 0x9e, 0xa6, 0x23, 0x1e, 0xce, 0x55, 0xca, + 0xd9, 0xb5, 0x19, 0xc6, 0x1e, 0x15, 0xcf, 0xb5, 0x2f, 0x79, + 0xd7, 0xf9, 0x18, 0xf6, 0x7d, 0xcf, 0x02, 0x3d, 0x30, 0xc0, + 0xed, 0xaa, 0xb6, 0xf4, 0x5e, 0x59, 0xea, 0x52, 0xf8, 0x37, + 0xae, 0xe5, 0xa6, 0x38 ), + PUBLIC ( 0x8b, 0x1a, 0xab, 0x89, 0x32, 0xcc, 0x56, 0x58, 0x1c, 0x9b, + 0x66, 0x90, 0x41, 0xf5, 0xd1, 0xba, 0x57, 0x65, 0x5f, 0xa5, + 0x44, 0x7f, 0x6e, 0xa2, 0xcc, 0xef, 0x02, 0x5c, 0xa6, 0xf0, + 0xb2, 0x60, 0x1d, 0x74, 0xa7, 0xd0, 0xe7, 0x17, 0x5b, 0x19, + 0x76, 0xa2, 0x72, 0xc5, 0x52, 0x8d, 0xb8, 0x0f, 0x77, 0x0d, + 0x01, 0xa4, 0xa4, 0xee, 0x54, 0xe4, 0x27, 0xc8, 0xd3, 0xc3, + 0x2a, 0xa7, 0x72, 0xc2, 0x94, 0x0a, 0xc4, 0x6f, 0xbf, 0x11, + 0x47, 0x10, 0xca, 0x39, 0xe5, 0x68, 0xa4, 0xc4, 0xfe, 0x99, + 0x99, 0x98, 0x11, 0xd1, 0xbb, 0xe0, 0xa4, 0xd7, 0x86, 0x1d, + 0x3a, 0xd6, 0xba, 0x66, 0x3e, 0xc7, 0x9a, 0xeb, 0x74, 0xd7, + 0x5b, 0xbe, 0x86, 0x7a, 0x04, 0x09, 0x83, 0xf6, 0x30, 0xb5, + 0xc3, 0xe8, 0x20, 0x8d, 0x8b, 0xf8, 0xf1, 0x5a, 0xd3, 0xe8, + 0x64, 0xbe, 0xf4, 0xed, 0x11, 0xb2, 0xdd, 0xd4, 0x03, 0x98, + 0x77, 0xca, 0x57, 0x58, 0xff, 0x4f, 0x47, 0x31, 0xb5, 0x8d, + 0xc8, 0x8a, 0xd2, 0x5a, 0xb7, 0x5b, 0xf3, 0xeb, 0xc6, 0x1d, + 0x25, 0x22, 0x5a, 0x43, 0x8f, 0xf7, 0x1c, 0x19, 0xa8, 0x5c, + 0xc9, 0x68, 0x00, 0x33, 0x61, 0xe9, 0x12, 0x81, 0xee, 0x65, + 0x56, 0x0c, 0x74, 0x39, 0xd8, 0x3d, 0x5c, 0x32, 0x96, 0x1f, + 0x75, 0xb2, 0x29, 0xf9, 0xc6, 0x70, 0xf7, 0x58, 0x34, 0x60, + 0xaf, 0x95, 0x76, 0xfc, 0xdf, 0xe2, 0xe4, 0xe4, 0x71, 0x85, + 0xe5, 0xb2, 0x92, 0xa5, 0x48, 0x3a, 0xf3, 0xba, 0x2d, 0x67, + 0x25, 0xc9, 0x30, 0xbf, 0xf8, 0x32, 0x37, 0x08, 0x9f, 0x4b, + 0x46, 0xc8, 0x91, 0x66, 0xc4, 0xe9, 0x69, 0x01, 0x05, 0xe6, + 0xa6, 0x96, 0x10, 0x32, 0x9b, 0xf8, 0x87, 0x1a, 0x56, 0x3e, + 0x65, 0x54, 0x51, 0x0d, 0x54, 0xf3, 0x99, 0x19, 0x6a, 0x9b, + 0x0e, 0xe5, 0xf9, 0xc7, 0x1a, 0xeb, 0xaf, 0x06, 0x00, 0xa0, + 0xfe, 0xc4, 0x8f, 0xb6, 0xea, 0x31, 0xd4, 0xd7, 0xcb, 0x4b, + 0x4b, 0x9d, 0xd0, 0xf6, 0xbc, 0x52, 0xbc, 0xda, 0xb9, 0xcc, + 0xde, 0xc2, 0x0b, 0x28, 0x8f, 0x09, 0x59, 0x96, 0x48, 0x28, + 0xd5, 0xae, 0xc8, 0x39, 0x32, 0xdc, 0xcc, 0xb9, 0x47, 0x12, + 0xe5, 0xf2, 0xef, 0xfc, 0x62, 0xe5, 0xc3, 0xaa, 0xd7, 0xc3, + 0x97, 0x97, 0xf5, 0x99, 0x4e, 0xe2, 0xf0, 0xf1, 0x17, 0x4e, + 0x62, 0x88, 0xd5, 0xb3, 0x8f, 0x93, 0xd4, 0xda, 0x5c, 0xa9, + 0xfc, 0xc9, 0x00, 0x13, 0xf7, 0xaf, 0x6d, 0xf0, 0x87, 0x96, + 0x27, 0x9b, 0xee, 0x74, 0x59, 0xf9, 0x68, 0x28, 0x45, 0x56, + 0x29, 0x81, 0xc8, 0xf4, 0x99, 0x25, 0x5c, 0x42, 0x86, 0xd1, + 0x27, 0x1a, 0xd6, 0xc5, 0x15, 0x8c, 0x6b, 0xd9, 0xde, 0x9f, + 0xc1, 0x60, 0xcd, 0xe0, 0xa8, 0x33, 0x5a, 0x1d, 0x28, 0x23, + 0xfc, 0xfb, 0xdb, 0x2f ), + SHARED ( 0x3c, 0xe4, 0x44, 0xab, 0x5a, 0xd5, 0x32, 0x0a, 0x70, 0x80, + 0x70, 0x3d, 0x3b, 0xfd, 0xdc, 0xd4, 0xf7, 0x9d, 0x1c, 0x87, + 0x22, 0x8f, 0x39, 0x39, 0xcd, 0x8e, 0xa2, 0x9c, 0x14, 0x28, + 0x9f, 0xfa, 0xaf, 0x92, 0xd6, 0x7c, 0x62, 0xf3, 0x75, 0x7b, + 0x94, 0x3c, 0xe4, 0xf7, 0x70, 0xbd, 0x82, 0xf7, 0x9b, 0xe5, + 0xb0, 0xb9, 0xb5, 0x4c, 0xd8, 0x0e, 0xa1, 0xf7, 0x8a, 0x92, + 0xa5, 0x4a, 0x51, 0x79, 0x86, 0x31, 0x19, 0x53, 0xa0, 0x5a, + 0x3d, 0xac, 0x90, 0xcc, 0xdd, 0x4e, 0x68, 0xb2, 0x04, 0x1a, + 0xe1, 0xcf, 0x67, 0x5f, 0x52, 0xe0, 0x52, 0xe4, 0x30, 0x40, + 0x6f, 0x8f, 0x9f, 0x96, 0x29, 0x8c, 0x0d, 0x61, 0x50, 0x92, + 0x36, 0xf4, 0x13, 0xa6, 0xe5, 0x99, 0x62, 0x49, 0xcb, 0xcd, + 0x58, 0x05, 0x9c, 0x95, 0xe2, 0xee, 0xa1, 0x51, 0x0e, 0x12, + 0xe7, 0x37, 0xdc, 0x66, 0x73, 0xad, 0x4b, 0x25, 0xa5, 0x79, + 0xf8, 0x2e, 0x12, 0x67, 0x54, 0x0a, 0x6a, 0xa4, 0x77, 0xfa, + 0x4e, 0x07, 0xbb, 0xbe, 0x1e, 0xf4, 0x74, 0xeb, 0x15, 0xbd, + 0x06, 0x92, 0x45, 0xef, 0x73, 0x12, 0xc9, 0x75, 0xa7, 0x05, + 0x5c, 0x1e, 0x1d, 0x0b, 0xb1, 0xec, 0xd0, 0xe4, 0x7d, 0x4a, + 0x2c, 0x38, 0x93, 0xf9, 0xec, 0xeb, 0x68, 0xfa, 0xa1, 0x0e, + 0x69, 0x5f, 0xc4, 0xa6, 0x45, 0xb7, 0xb2, 0xf8, 0xc0, 0x3c, + 0x5f, 0xe1, 0x57, 0x0a, 0xc2, 0x5b, 0xe1, 0x30, 0x3c, 0x2e, + 0x3f, 0xd0, 0x0d, 0x95, 0x07, 0xbe, 0xf8, 0x41, 0x6f, 0x89, + 0xdf, 0x6b, 0xf4, 0x47, 0xec, 0x69, 0x81, 0x48, 0xc6, 0xb7, + 0xa9, 0x5b, 0x0d, 0xd3, 0x37, 0xd9, 0x8b, 0x2a, 0x74, 0xeb, + 0x5c, 0x5f, 0x18, 0xbf, 0xa2, 0x58, 0x3f, 0xb1, 0x9f, 0xc4, + 0x05, 0x8b, 0xfd, 0xd3, 0xa1, 0xba, 0x07, 0x6b, 0xcd, 0xa4, + 0x26, 0x14, 0x1a, 0x80, 0x64, 0x32, 0x7e, 0xb7, 0xb4, 0xe0, + 0x39, 0xb3, 0x1c, 0x92, 0xb9, 0x40, 0x60, 0x28, 0x16, 0x0e, + 0xfa, 0x44, 0xa7, 0x5f, 0x6c, 0xa1, 0xd6, 0x74, 0x89, 0x4b, + 0x68, 0xef, 0xe3, 0x58, 0x8c, 0x92, 0x79, 0x49, 0x41, 0x4c, + 0xc6, 0xfd, 0xbe, 0x52, 0xb4, 0xbb, 0x5f, 0x24, 0x7c, 0x28, + 0xfb, 0x2e, 0x7a, 0x40, 0xda, 0x99, 0x4b, 0xe3, 0xc0, 0x7a, + 0x52, 0x65, 0xdc, 0x19, 0xb3, 0x10, 0xbb, 0xa4, 0xba, 0x3c, + 0xb4, 0x7f, 0xd5, 0x71, 0x40, 0x11, 0x69, 0x95, 0x1a, 0xee, + 0xf8, 0x7c, 0x99, 0x7d, 0x8d, 0x0c, 0x0a, 0x49, 0x94, 0x57, + 0x52, 0x14, 0x54, 0x77, 0xc4, 0xfd, 0x05, 0x57, 0x0a, 0x15, + 0x68, 0x84, 0x22, 0x14, 0xdc, 0x1a, 0x37, 0x42, 0x7a, 0x9f, + 0x7a, 0x46, 0xc1, 0x38, 0xba, 0x93, 0x98, 0x9d, 0xcc, 0x59, + 0xd6, 0x51, 0xb7, 0x98, 0x36, 0xb7, 0xbb, 0x8b, 0x50, 0xfc, + 0x1a, 0xc2, 0x1a, 0x5e ) ); + +/* FFDHE4096, randomly generated keys */ +EXCHANGE_TEST ( ffdhe4096_random, &ffdhe4096_algorithm, + PRIVATE ( 0x06, 0xd6, 0x8e, 0x42, 0x2a, 0x6e, 0xe1, 0xdc, 0x04, 0x7e, + 0x5d, 0x89, 0x3a, 0x6d, 0xb3, 0xc8, 0x03, 0xa0, 0x80, 0xa6, + 0xf3, 0x3d, 0x05, 0x3c, 0xf4, 0xd5, 0x8e, 0x69, 0x09, 0x78, + 0xef, 0xb1, 0xe5, 0x61, 0xf2, 0xa1, 0x1a, 0x9f, 0x33, 0xb1, + 0x70 ), + PARTNER ( 0x1f, 0x7d, 0x7d, 0x55, 0x84, 0x47, 0xe9, 0x37, 0x45, 0x6d, + 0x67, 0x77, 0x14, 0xe7, 0x67, 0x48, 0x69, 0x8b, 0x7c, 0x1c, + 0xd3, 0x5e, 0x7b, 0x24, 0xc8, 0x7c, 0xf6, 0x6c, 0x92, 0xc2, + 0x99, 0xca, 0x21, 0x2b, 0x67, 0x7e, 0x01, 0x53, 0xb9, 0x98, + 0x10, 0x06, 0xc7, 0x01, 0xbe, 0x3e, 0x16, 0xdc, 0x4d, 0xeb, + 0x4c, 0x3f, 0x2a, 0xca, 0x81, 0x35, 0x95, 0xde, 0x2a, 0xcd, + 0x52, 0xa0, 0xc1, 0x16, 0x97, 0x75, 0x97, 0xe0, 0x31, 0x57, + 0xc0, 0xdb, 0x62, 0xcc, 0xa8, 0x9b, 0xe5, 0x90, 0xa1, 0x96, + 0x0e, 0x96, 0x06, 0x7a, 0x03, 0x5f, 0x60, 0x0e, 0xc4, 0xa6, + 0xcf, 0xde, 0xfc, 0x32, 0xe5, 0x7f, 0x4a, 0xa5, 0xf1, 0x7c, + 0xa3, 0xc4, 0xfd, 0xd2, 0xed, 0xd8, 0x2f, 0xc8, 0x9a, 0x8c, + 0xa3, 0x1c, 0x77, 0x71, 0x61, 0xae, 0x89, 0x04, 0xea, 0xe1, + 0x00, 0xb8, 0xb5, 0x2d, 0x93, 0x81, 0xb4, 0xfb, 0x1c, 0x79, + 0x19, 0x32, 0x6b, 0xd9, 0x5e, 0xa5, 0x89, 0xf0, 0x3e, 0x57, + 0xf8, 0x61, 0x6f, 0xef, 0x8c, 0x3f, 0x51, 0x6d, 0xa1, 0xe6, + 0x7c, 0x5d, 0xe1, 0xec, 0xeb, 0xef, 0x39, 0x36, 0x92, 0x1a, + 0x7e, 0x44, 0x59, 0x8d, 0x1c, 0x0e, 0xf7, 0xc4, 0xd9, 0x6f, + 0xcc, 0x93, 0x2e, 0x14, 0x1a, 0x10, 0xd4, 0xf1, 0x32, 0xae, + 0xd3, 0x84, 0x39, 0x9d, 0x40, 0xaa, 0xde, 0xf8, 0xbd, 0x80, + 0x29, 0x20, 0x5b, 0x4b, 0x07, 0x35, 0xb1, 0xac, 0xa5, 0xa3, + 0x18, 0x72, 0xb1, 0x98, 0xf8, 0x7f, 0xb6, 0x76, 0xd3, 0x77, + 0x2e, 0xfe, 0x94, 0xe0, 0x02, 0xde, 0xb4, 0x2d, 0x25, 0xdb, + 0x75, 0x13, 0x9c, 0xd9, 0x92, 0xad, 0x63, 0xc8, 0x1b, 0x5f, + 0x2f, 0x55, 0x62, 0x84, 0x6d, 0xbf, 0x56, 0x25, 0x30, 0x9a, + 0x03, 0x1d, 0x58, 0xf9, 0x29, 0x42, 0xa0, 0x3b, 0x3d, 0xcc, + 0xa0, 0x74, 0xf3, 0x56, 0xe4, 0x61, 0xba, 0x4a, 0xb7, 0x5d, + 0xf3, 0xd2, 0x04, 0x1e, 0x69, 0x6c, 0xde, 0xd0, 0x02, 0xd4, + 0x59, 0x73, 0x97, 0x22, 0x9a, 0xf9, 0x6b, 0x50, 0x85, 0x80, + 0x28, 0xfd, 0x43, 0x8c, 0x5c, 0x9a, 0xe2, 0xa3, 0x22, 0xb3, + 0x5b, 0x53, 0x33, 0xbd, 0x5e, 0xd6, 0xa7, 0xed, 0xd7, 0xc9, + 0xd8, 0x04, 0x95, 0x86, 0x52, 0xa9, 0x3a, 0x27, 0x7f, 0x9d, + 0x29, 0xd6, 0x52, 0xa8, 0xa2, 0x3d, 0x29, 0x4f, 0x92, 0xbe, + 0x27, 0x68, 0xf9, 0x6e, 0x2b, 0x25, 0x43, 0xe8, 0x02, 0xae, + 0x9e, 0x2d, 0xfa, 0xcb, 0xe5, 0x85, 0xf2, 0x45, 0x1b, 0xd0, + 0xcf, 0xfc, 0xd5, 0x12, 0xe7, 0xac, 0x4a, 0xc7, 0x1c, 0x30, + 0x28, 0x62, 0x5e, 0xbd, 0x5e, 0x62, 0x2f, 0xc1, 0x58, 0x8b, + 0x5c, 0x26, 0x5b, 0xe3, 0x89, 0xb2, 0xfe, 0xbe, 0x90, 0xa0, + 0x1f, 0xf8, 0x26, 0x11, 0x77, 0x86, 0x03, 0x0e, 0xc6, 0xf9, + 0x30, 0xe4, 0xc9, 0xf0, 0x1a, 0xdf, 0x19, 0x9e, 0x00, 0x95, + 0xd7, 0xe2, 0x47, 0x18, 0xf1, 0x4f, 0x41, 0xdf, 0xa1, 0x41, + 0x59, 0x19, 0xfe, 0x02, 0x4a, 0x70, 0x12, 0xdc, 0x19, 0xf8, + 0xea, 0xc7, 0xb3, 0xf2, 0xc5, 0xb8, 0x1e, 0x0a, 0x11, 0x21, + 0x8f, 0xc7, 0xe9, 0x7d, 0x01, 0x87, 0x41, 0xd0, 0xe4, 0x93, + 0x11, 0x8c, 0x26, 0xfa, 0xc7, 0xc1, 0x62, 0xdb, 0x8b, 0x40, + 0xda, 0x57, 0xa5, 0xf6, 0x9d, 0x52, 0x2e, 0xdf, 0x3f, 0x57, + 0x02, 0xe4, 0x2f, 0xb1, 0xfa, 0xcf, 0x12, 0x1e, 0x41, 0xbf, + 0xfd, 0xb2, 0x16, 0xc3, 0x81, 0x37, 0xfd, 0x36, 0x43, 0x9b, + 0x7d, 0xc5, 0xd4, 0x97, 0x3f, 0xc0, 0x15, 0x1a, 0x59, 0x17, + 0x84, 0x31, 0x63, 0xbd, 0xf1, 0x9e, 0xef, 0xed, 0xb3, 0xe1, + 0x3b, 0x01, 0xd7, 0x65, 0xb0, 0x3c, 0x51, 0x67, 0xa7, 0xec, + 0xb8, 0xbc, 0x1c, 0xca, 0xc4, 0xb2, 0x38, 0x54, 0x1f, 0xf7, + 0x08, 0x63 ), + PUBLIC ( 0xac, 0xbf, 0x0b, 0xbc, 0x80, 0x25, 0x44, 0xcc, 0x5e, 0x99, + 0x4f, 0xce, 0x6b, 0xdc, 0xae, 0xa9, 0xee, 0x02, 0xd1, 0x8a, + 0xed, 0x7e, 0x70, 0x3f, 0x94, 0xec, 0xb2, 0x8a, 0x3d, 0xa2, + 0xb2, 0x16, 0x82, 0xae, 0x42, 0xf6, 0x24, 0xef, 0x7d, 0xf0, + 0xb9, 0x82, 0xa7, 0x34, 0x91, 0x7b, 0x74, 0x6f, 0x41, 0x5a, + 0xa2, 0x08, 0x44, 0x73, 0x43, 0x66, 0x3b, 0x98, 0x90, 0x00, + 0xa6, 0xf1, 0x32, 0xea, 0x19, 0xf6, 0x14, 0x7a, 0xd0, 0x85, + 0x8a, 0x81, 0xee, 0xc4, 0x80, 0xc8, 0x7c, 0x04, 0x70, 0x1c, + 0x2f, 0x2f, 0x40, 0xb9, 0x71, 0x4f, 0x5e, 0xa8, 0x59, 0xe0, + 0x0e, 0x09, 0x51, 0xa5, 0xdc, 0x72, 0xcf, 0x5d, 0x6f, 0x57, + 0x8c, 0x4f, 0x6c, 0x0c, 0xaa, 0x64, 0x11, 0xf6, 0xc3, 0x81, + 0xcb, 0x72, 0x00, 0xc8, 0x2c, 0x15, 0x2e, 0x12, 0x83, 0x95, + 0x34, 0x1c, 0x75, 0xad, 0xe2, 0xd3, 0x1a, 0x98, 0x64, 0xaf, + 0xdf, 0x37, 0x21, 0x5e, 0xf2, 0xef, 0xd2, 0x56, 0xed, 0xfa, + 0xf0, 0xa2, 0x74, 0xdc, 0xad, 0xb7, 0xd0, 0x5a, 0xed, 0x2b, + 0x66, 0xce, 0x82, 0xc2, 0x92, 0x55, 0x0c, 0xd9, 0x27, 0x07, + 0x57, 0x5f, 0xcb, 0x7b, 0xf1, 0xad, 0x16, 0x60, 0x7f, 0x0e, + 0xa5, 0xea, 0x69, 0x95, 0x03, 0x21, 0xf7, 0xc6, 0xdc, 0x74, + 0x9a, 0x99, 0x1f, 0x6a, 0x1e, 0x53, 0x67, 0x3c, 0xbb, 0x7a, + 0xa4, 0x8b, 0x47, 0x39, 0x0e, 0x43, 0xfa, 0x55, 0x3d, 0x42, + 0x11, 0x77, 0x45, 0xa5, 0x32, 0x6f, 0xe2, 0x2c, 0x2d, 0x9c, + 0x53, 0x3c, 0x6a, 0xb9, 0x22, 0xc9, 0x2c, 0xd2, 0xde, 0xbc, + 0x0f, 0x6f, 0xfb, 0x73, 0x53, 0xe6, 0x84, 0xa8, 0x5f, 0x57, + 0xf0, 0xde, 0xc7, 0xed, 0x4c, 0xd3, 0x97, 0xbc, 0xe0, 0xfd, + 0xc1, 0xb8, 0x3f, 0xe7, 0x53, 0x21, 0x43, 0xfd, 0xcd, 0x52, + 0xca, 0x88, 0x52, 0x25, 0x24, 0x69, 0xc8, 0x71, 0x82, 0x2f, + 0x4e, 0x66, 0xa4, 0x0b, 0x59, 0x10, 0x8c, 0x98, 0xce, 0xe7, + 0xb1, 0x07, 0xc4, 0xc6, 0xf8, 0x9d, 0x84, 0xf0, 0xd5, 0xa6, + 0x28, 0x8d, 0xec, 0xce, 0xc9, 0x14, 0x6a, 0xf6, 0x17, 0x81, + 0x01, 0xfb, 0xd0, 0x46, 0x85, 0x62, 0x71, 0x23, 0xc4, 0x37, + 0x0a, 0x2f, 0xb5, 0x1e, 0xb1, 0xd9, 0xa7, 0x0a, 0x6e, 0x54, + 0x9b, 0x8f, 0xbc, 0xde, 0x1d, 0x98, 0x76, 0x46, 0x2d, 0xc1, + 0xfc, 0xc5, 0x17, 0xee, 0x9e, 0xc5, 0x4a, 0x5f, 0xda, 0x90, + 0x77, 0xa0, 0xf4, 0x85, 0xe6, 0xab, 0x9c, 0x7f, 0xb5, 0x84, + 0x20, 0xc4, 0xad, 0x7f, 0x9c, 0xf2, 0x86, 0x6e, 0xdc, 0x50, + 0xf1, 0x66, 0x25, 0xca, 0x65, 0x75, 0x33, 0x18, 0x9d, 0x6e, + 0x2e, 0x1c, 0x40, 0xec, 0x7c, 0x31, 0xd9, 0x83, 0x60, 0x2f, + 0x46, 0x30, 0x28, 0x8a, 0xd1, 0xfb, 0xd3, 0x8f, 0x35, 0xf7, + 0xbc, 0x94, 0xd9, 0x34, 0x58, 0x5e, 0x34, 0x35, 0x54, 0x2d, + 0xe0, 0x51, 0x9a, 0xca, 0x55, 0x8f, 0x36, 0x05, 0x1c, 0x39, + 0xb1, 0xfc, 0x96, 0x70, 0x83, 0xb0, 0x41, 0x11, 0x38, 0x79, + 0x2b, 0x05, 0xf5, 0x88, 0xa0, 0x31, 0xf6, 0x37, 0xe0, 0xd8, + 0xfe, 0x38, 0x6e, 0x93, 0x30, 0xbe, 0x0f, 0xa7, 0x78, 0xea, + 0x34, 0xe4, 0x78, 0xab, 0xce, 0xf4, 0xe0, 0x27, 0x9a, 0x92, + 0x12, 0xd5, 0x8c, 0x6e, 0x22, 0x0e, 0xf7, 0x8d, 0x42, 0x73, + 0x1d, 0x2a, 0xd1, 0xb5, 0x02, 0xb9, 0x15, 0x03, 0x1b, 0x36, + 0xca, 0xbf, 0x3d, 0xda, 0x61, 0xc3, 0xe4, 0xa1, 0xe2, 0x8e, + 0xca, 0x40, 0xec, 0x12, 0xa6, 0x8e, 0xb4, 0x9e, 0xbd, 0xa1, + 0x14, 0x1d, 0xa8, 0x34, 0xdf, 0x06, 0x52, 0xc0, 0x81, 0x23, + 0xc8, 0x06, 0x1a, 0x28, 0x57, 0xbb, 0x17, 0xef, 0x5c, 0x4f, + 0x1a, 0x10, 0x5f, 0x99, 0x97, 0xd1, 0xe5, 0x2b, 0x3f, 0xc0, + 0xb8, 0x43 ), + SHARED ( 0xda, 0xe9, 0xbd, 0x55, 0x39, 0x5a, 0x45, 0xbf, 0x6e, 0x4c, + 0xc7, 0xde, 0xff, 0x12, 0x73, 0xf4, 0x07, 0xb6, 0xf8, 0xf9, + 0x46, 0xe2, 0x53, 0xfb, 0x0c, 0xb6, 0x19, 0x42, 0x5a, 0x70, + 0x39, 0x7c, 0xa2, 0x12, 0xca, 0x97, 0x09, 0x16, 0x7d, 0xc1, + 0xb1, 0xb6, 0x54, 0xdf, 0xa2, 0x47, 0x43, 0xd6, 0xfd, 0xb9, + 0x65, 0xc8, 0x51, 0xb7, 0x35, 0x0c, 0xae, 0xef, 0xb1, 0x51, + 0xf1, 0x9c, 0x1f, 0x02, 0x80, 0xda, 0xc4, 0x38, 0x8e, 0x8d, + 0xef, 0x52, 0x92, 0x6d, 0x52, 0x1a, 0xd0, 0xbf, 0x39, 0x96, + 0x89, 0xb3, 0xf1, 0xa2, 0x6b, 0xe3, 0xa1, 0x0f, 0xc9, 0x16, + 0xb1, 0xbc, 0xd5, 0xf2, 0x2a, 0x1b, 0x8b, 0xd2, 0xe6, 0xcc, + 0x76, 0x50, 0xf0, 0x12, 0x4d, 0x68, 0xdd, 0x4e, 0xaa, 0x4f, + 0x9b, 0xd7, 0x4a, 0x58, 0xe0, 0x26, 0x82, 0x81, 0x41, 0x52, + 0x35, 0x5c, 0xb7, 0xad, 0x3e, 0xaa, 0x3a, 0xc0, 0x0f, 0x39, + 0x48, 0xf6, 0x2c, 0x35, 0x40, 0x5c, 0xae, 0x90, 0x22, 0xf4, + 0x5d, 0x05, 0x53, 0xf2, 0x9d, 0x46, 0x54, 0x0d, 0x78, 0xcc, + 0xfe, 0xe4, 0x6d, 0x3e, 0x3e, 0xaf, 0xeb, 0x82, 0x2d, 0x4b, + 0xad, 0x5d, 0x41, 0xa4, 0x18, 0xd6, 0xf2, 0xc1, 0xd6, 0xa8, + 0x1b, 0xda, 0x4d, 0x29, 0x9d, 0x71, 0xd7, 0x0f, 0x77, 0x36, + 0x31, 0xa3, 0xfb, 0x08, 0x2d, 0x63, 0x9a, 0x35, 0x9c, 0x46, + 0xfd, 0x22, 0x54, 0xd8, 0xec, 0xec, 0x01, 0x2f, 0x77, 0xe2, + 0x2d, 0x84, 0xb7, 0x26, 0xf9, 0x4a, 0xf1, 0xf8, 0x79, 0x64, + 0x61, 0x19, 0x49, 0xae, 0x6c, 0xa6, 0xa1, 0x5f, 0x83, 0xde, + 0x70, 0x19, 0x3e, 0xb7, 0xa1, 0xf7, 0xd3, 0x35, 0x53, 0xb4, + 0x9b, 0xe9, 0xdb, 0x3f, 0x07, 0x53, 0x0d, 0x25, 0xda, 0x20, + 0x1a, 0xb0, 0x95, 0x41, 0x81, 0x23, 0x5d, 0x0b, 0x72, 0xfd, + 0xf7, 0xb0, 0xd2, 0x59, 0x3a, 0xdd, 0xab, 0xc3, 0xa7, 0x34, + 0x63, 0x7b, 0x84, 0x1a, 0x8c, 0x7e, 0x35, 0x29, 0x9c, 0x56, + 0xe4, 0x60, 0xd5, 0x5b, 0xb5, 0x15, 0x77, 0x39, 0x41, 0x5b, + 0x2a, 0x79, 0x91, 0x85, 0x6c, 0xf1, 0xaf, 0x1d, 0x63, 0x57, + 0x53, 0xbc, 0x5f, 0x2f, 0xac, 0x73, 0xdb, 0x0d, 0xab, 0x4d, + 0x63, 0xf1, 0x40, 0xb0, 0xcc, 0x82, 0x2f, 0xab, 0x15, 0xba, + 0x32, 0x98, 0x10, 0x3b, 0x03, 0xcc, 0x05, 0x8a, 0x51, 0x49, + 0xc1, 0x09, 0x90, 0xff, 0xd3, 0xdf, 0x70, 0x8c, 0x14, 0x21, + 0xef, 0x96, 0xfc, 0x91, 0x65, 0xfd, 0xa6, 0x5a, 0x78, 0xd7, + 0x24, 0x39, 0xf1, 0x8c, 0xed, 0x67, 0x49, 0xd4, 0x6a, 0x55, + 0x82, 0x4a, 0x47, 0x44, 0xec, 0xa2, 0x67, 0xf7, 0x68, 0xc2, + 0x7c, 0xb0, 0x2a, 0xd0, 0x1a, 0x2a, 0x17, 0x46, 0x7c, 0x57, + 0xd8, 0x8a, 0x78, 0x1e, 0x78, 0xf7, 0x81, 0x3f, 0x1f, 0x84, + 0xb5, 0x82, 0xdb, 0xea, 0x92, 0x27, 0x82, 0x2a, 0xa4, 0xcf, + 0x2c, 0x37, 0x44, 0xe9, 0x32, 0x4c, 0xea, 0xaa, 0x8a, 0x53, + 0x39, 0xe4, 0x19, 0x7f, 0x14, 0x22, 0x93, 0x8c, 0xe8, 0x52, + 0xf4, 0xec, 0x27, 0x33, 0xa6, 0xdc, 0xbf, 0x09, 0x5b, 0x83, + 0x41, 0x30, 0x15, 0x26, 0xaf, 0xf8, 0x4c, 0xe4, 0xce, 0x26, + 0xff, 0x78, 0x6a, 0x80, 0xb9, 0xcb, 0x4d, 0x70, 0x54, 0x96, + 0x0e, 0x3f, 0xd6, 0x0c, 0x35, 0xe4, 0x50, 0x08, 0xd9, 0xc1, + 0x9b, 0xc9, 0x43, 0x1c, 0x71, 0x74, 0x7d, 0xf5, 0x40, 0x02, + 0x7f, 0x18, 0xb5, 0x11, 0xc4, 0x17, 0xcb, 0x3e, 0xd4, 0xf2, + 0x32, 0x8a, 0x8c, 0x82, 0xd3, 0x59, 0x45, 0xd4, 0x3c, 0xc3, + 0xb2, 0x16, 0xad, 0x09, 0xca, 0x77, 0x36, 0x42, 0xac, 0xad, + 0xe1, 0x1c, 0x31, 0x5d, 0x54, 0x1c, 0x87, 0x34, 0xcc, 0xd0, + 0x88, 0x17, 0xa7, 0x05, 0x4f, 0x43, 0xe4, 0xd2, 0xbf, 0x6b, + 0x77, 0x08 ) ); + +/* FFDHE2048, invalid partner key (0) */ +EXCHANGE_TEST ( ffdhe2048_zero, &ffdhe2048_algorithm, + PRIVATE ( 0x00, 0xd2, 0xf5, 0xb3, 0xfb, 0x1d, 0xbd, 0x64, 0x6e, 0xcf, + 0x00, 0x6d, 0xd7, 0x02, 0x6a, 0x26, 0x6c, 0x34, 0xef, 0x0c, + 0x4b, 0xdc, 0x44, 0x42, 0xda, 0xf9, 0x12, 0x2a, 0x93 ), + PARTNER ( 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ), + PUBLIC ( 0xbf, 0x9c, 0xd7, 0x17, 0xf2, 0x35, 0x14, 0x81, 0x79, 0x52, + 0xb9, 0x57, 0x4a, 0xbe, 0x19, 0x22, 0xdb, 0xab, 0x2b, 0x02, + 0xed, 0x30, 0x09, 0x02, 0xcd, 0x08, 0xcc, 0x70, 0x3c, 0x17, + 0x38, 0xbb, 0xcb, 0x40, 0xf6, 0x48, 0x1e, 0x70, 0xc0, 0xc6, + 0x89, 0x67, 0xc8, 0xc6, 0xd9, 0x77, 0x7e, 0x2f, 0x99, 0x55, + 0x4d, 0xbb, 0x99, 0xc9, 0x47, 0xfc, 0xb6, 0x31, 0xc8, 0x1e, + 0xde, 0x5d, 0x6d, 0x93, 0x11, 0x67, 0x87, 0xdf, 0x66, 0x64, + 0x2b, 0xc9, 0x07, 0x08, 0xe5, 0x29, 0x39, 0x28, 0x1b, 0x8d, + 0x3d, 0x45, 0xf7, 0x12, 0x23, 0x9f, 0x01, 0x7f, 0xd6, 0xd1, + 0x59, 0x48, 0x41, 0xe2, 0xa0, 0x33, 0x6e, 0xa6, 0x10, 0xb2, + 0x2c, 0xa4, 0x72, 0xe1, 0xed, 0x1d, 0x15, 0x13, 0x7e, 0x8f, + 0x18, 0xf7, 0x84, 0x87, 0x1f, 0x1c, 0x49, 0xd0, 0xce, 0xb4, + 0xba, 0x64, 0x86, 0x74, 0xde, 0x7f, 0x51, 0xae, 0x51, 0x3d, + 0x83, 0x98, 0xb7, 0xe7, 0x18, 0x90, 0x76, 0x2c, 0x30, 0x22, + 0x14, 0x44, 0x17, 0x6d, 0xb7, 0xa6, 0x87, 0x4d, 0xb7, 0xa4, + 0xf2, 0xc1, 0xe1, 0x38, 0x50, 0xb6, 0x85, 0x22, 0x42, 0xa8, + 0x8e, 0x61, 0x38, 0x03, 0x2a, 0xf0, 0x2b, 0xf2, 0x1e, 0x5a, + 0xf5, 0x79, 0xca, 0x55, 0xf0, 0xce, 0xce, 0x0b, 0xbc, 0x82, + 0x2c, 0x4a, 0x0b, 0x7d, 0x10, 0x1c, 0x8d, 0x4b, 0xd4, 0x56, + 0xbb, 0x7a, 0x74, 0x93, 0x88, 0x8e, 0xb0, 0x92, 0xe8, 0x0b, + 0x43, 0x01, 0x05, 0x11, 0x4b, 0x70, 0x22, 0x80, 0xc3, 0x28, + 0x34, 0xae, 0xb4, 0x94, 0x5d, 0x5b, 0x46, 0x13, 0xb9, 0xc1, + 0x65, 0x97, 0xef, 0x84, 0x65, 0x68, 0x6d, 0x84, 0x0c, 0x2c, + 0xf8, 0xba, 0x57, 0x3f, 0xaf, 0x6c, 0x2c, 0x43, 0xee, 0x50, + 0x67, 0x08, 0xab, 0x3c, 0xbf, 0x90, 0x2e, 0x66, 0x9f, 0xc1, + 0xd5, 0x9d, 0xa6, 0x0e, 0x50, 0x33 ), + SHARED_FAIL ); + +/* FFDHE2048, invalid partner key (1) */ +EXCHANGE_TEST ( ffdhe2048_one, &ffdhe2048_algorithm, + PRIVATE ( 0x00, 0xd2, 0xf5, 0xb3, 0xfb, 0x1d, 0xbd, 0x64, 0x6e, 0xcf, + 0x00, 0x6d, 0xd7, 0x02, 0x6a, 0x26, 0x6c, 0x34, 0xef, 0x0c, + 0x4b, 0xdc, 0x44, 0x42, 0xda, 0xf9, 0x12, 0x2a, 0x93 ), + PARTNER ( 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x01 ), + PUBLIC ( 0xbf, 0x9c, 0xd7, 0x17, 0xf2, 0x35, 0x14, 0x81, 0x79, 0x52, + 0xb9, 0x57, 0x4a, 0xbe, 0x19, 0x22, 0xdb, 0xab, 0x2b, 0x02, + 0xed, 0x30, 0x09, 0x02, 0xcd, 0x08, 0xcc, 0x70, 0x3c, 0x17, + 0x38, 0xbb, 0xcb, 0x40, 0xf6, 0x48, 0x1e, 0x70, 0xc0, 0xc6, + 0x89, 0x67, 0xc8, 0xc6, 0xd9, 0x77, 0x7e, 0x2f, 0x99, 0x55, + 0x4d, 0xbb, 0x99, 0xc9, 0x47, 0xfc, 0xb6, 0x31, 0xc8, 0x1e, + 0xde, 0x5d, 0x6d, 0x93, 0x11, 0x67, 0x87, 0xdf, 0x66, 0x64, + 0x2b, 0xc9, 0x07, 0x08, 0xe5, 0x29, 0x39, 0x28, 0x1b, 0x8d, + 0x3d, 0x45, 0xf7, 0x12, 0x23, 0x9f, 0x01, 0x7f, 0xd6, 0xd1, + 0x59, 0x48, 0x41, 0xe2, 0xa0, 0x33, 0x6e, 0xa6, 0x10, 0xb2, + 0x2c, 0xa4, 0x72, 0xe1, 0xed, 0x1d, 0x15, 0x13, 0x7e, 0x8f, + 0x18, 0xf7, 0x84, 0x87, 0x1f, 0x1c, 0x49, 0xd0, 0xce, 0xb4, + 0xba, 0x64, 0x86, 0x74, 0xde, 0x7f, 0x51, 0xae, 0x51, 0x3d, + 0x83, 0x98, 0xb7, 0xe7, 0x18, 0x90, 0x76, 0x2c, 0x30, 0x22, + 0x14, 0x44, 0x17, 0x6d, 0xb7, 0xa6, 0x87, 0x4d, 0xb7, 0xa4, + 0xf2, 0xc1, 0xe1, 0x38, 0x50, 0xb6, 0x85, 0x22, 0x42, 0xa8, + 0x8e, 0x61, 0x38, 0x03, 0x2a, 0xf0, 0x2b, 0xf2, 0x1e, 0x5a, + 0xf5, 0x79, 0xca, 0x55, 0xf0, 0xce, 0xce, 0x0b, 0xbc, 0x82, + 0x2c, 0x4a, 0x0b, 0x7d, 0x10, 0x1c, 0x8d, 0x4b, 0xd4, 0x56, + 0xbb, 0x7a, 0x74, 0x93, 0x88, 0x8e, 0xb0, 0x92, 0xe8, 0x0b, + 0x43, 0x01, 0x05, 0x11, 0x4b, 0x70, 0x22, 0x80, 0xc3, 0x28, + 0x34, 0xae, 0xb4, 0x94, 0x5d, 0x5b, 0x46, 0x13, 0xb9, 0xc1, + 0x65, 0x97, 0xef, 0x84, 0x65, 0x68, 0x6d, 0x84, 0x0c, 0x2c, + 0xf8, 0xba, 0x57, 0x3f, 0xaf, 0x6c, 0x2c, 0x43, 0xee, 0x50, + 0x67, 0x08, 0xab, 0x3c, 0xbf, 0x90, 0x2e, 0x66, 0x9f, 0xc1, + 0xd5, 0x9d, 0xa6, 0x0e, 0x50, 0x33 ), + SHARED_FAIL ); + +/* FFDHE2048, invalid partner key (p - 1) */ +EXCHANGE_TEST ( ffdhe2048_minus_one, &ffdhe2048_algorithm, + PRIVATE ( 0x00, 0xd2, 0xf5, 0xb3, 0xfb, 0x1d, 0xbd, 0x64, 0x6e, 0xcf, + 0x00, 0x6d, 0xd7, 0x02, 0x6a, 0x26, 0x6c, 0x34, 0xef, 0x0c, + 0x4b, 0xdc, 0x44, 0x42, 0xda, 0xf9, 0x12, 0x2a, 0x93 ), + PARTNER ( 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 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, 0x93, 0x9d, 0xce, 0x24, 0x9b, 0x3e, 0xf9, 0x7d, 0x2f, + 0xe3, 0x63, 0x63, 0x0c, 0x75, 0xd8, 0xf6, 0x81, 0xb2, 0x02, + 0xae, 0xc4, 0x61, 0x7a, 0xd3, 0xdf, 0x1e, 0xd5, 0xd5, 0xfd, + 0x65, 0x61, 0x24, 0x33, 0xf5, 0x1f, 0x5f, 0x06, 0x6e, 0xd0, + 0x85, 0x63, 0x65, 0x55, 0x3d, 0xed, 0x1a, 0xf3, 0xb5, 0x57, + 0x13, 0x5e, 0x7f, 0x57, 0xc9, 0x35, 0x98, 0x4f, 0x0c, 0x70, + 0xe0, 0xe6, 0x8b, 0x77, 0xe2, 0xa6, 0x89, 0xda, 0xf3, 0xef, + 0xe8, 0x72, 0x1d, 0xf1, 0x58, 0xa1, 0x36, 0xad, 0xe7, 0x35, + 0x30, 0xac, 0xca, 0x4f, 0x48, 0x3a, 0x79, 0x7a, 0xbc, 0x0a, + 0xb1, 0x82, 0xb3, 0x24, 0xfb, 0x61, 0xd1, 0x08, 0xa9, 0x4b, + 0xb2, 0xc8, 0xe3, 0xfb, 0xb9, 0x6a, 0xda, 0xb7, 0x60, 0xd7, + 0xf4, 0x68, 0x1d, 0x4f, 0x42, 0xa3, 0xde, 0x39, 0x4d, 0xf4, + 0xae, 0x56, 0xed, 0xe7, 0x63, 0x72, 0xbb, 0x19, 0x0b, 0x07, + 0xa7, 0xc8, 0xee, 0x0a, 0x6d, 0x70, 0x9e, 0x02, 0xfc, 0xe1, + 0xcd, 0xf7, 0xe2, 0xec, 0xc0, 0x34, 0x04, 0xcd, 0x28, 0x34, + 0x2f, 0x61, 0x91, 0x72, 0xfe, 0x9c, 0xe9, 0x85, 0x83, 0xff, + 0x8e, 0x4f, 0x12, 0x32, 0xee, 0xf2, 0x81, 0x83, 0xc3, 0xfe, + 0x3b, 0x1b, 0x4c, 0x6f, 0xad, 0x73, 0x3b, 0xb5, 0xfc, 0xbc, + 0x2e, 0xc2, 0x20, 0x05, 0xc5, 0x8e, 0xf1, 0x83, 0x7d, 0x16, + 0x83, 0xb2, 0xc6, 0xf3, 0x4a, 0x26, 0xc1, 0xb2, 0xef, 0xfa, + 0x88, 0x6b, 0x42, 0x38, 0x61, 0x28, 0x5c, 0x97, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe ), + PUBLIC ( 0xbf, 0x9c, 0xd7, 0x17, 0xf2, 0x35, 0x14, 0x81, 0x79, 0x52, + 0xb9, 0x57, 0x4a, 0xbe, 0x19, 0x22, 0xdb, 0xab, 0x2b, 0x02, + 0xed, 0x30, 0x09, 0x02, 0xcd, 0x08, 0xcc, 0x70, 0x3c, 0x17, + 0x38, 0xbb, 0xcb, 0x40, 0xf6, 0x48, 0x1e, 0x70, 0xc0, 0xc6, + 0x89, 0x67, 0xc8, 0xc6, 0xd9, 0x77, 0x7e, 0x2f, 0x99, 0x55, + 0x4d, 0xbb, 0x99, 0xc9, 0x47, 0xfc, 0xb6, 0x31, 0xc8, 0x1e, + 0xde, 0x5d, 0x6d, 0x93, 0x11, 0x67, 0x87, 0xdf, 0x66, 0x64, + 0x2b, 0xc9, 0x07, 0x08, 0xe5, 0x29, 0x39, 0x28, 0x1b, 0x8d, + 0x3d, 0x45, 0xf7, 0x12, 0x23, 0x9f, 0x01, 0x7f, 0xd6, 0xd1, + 0x59, 0x48, 0x41, 0xe2, 0xa0, 0x33, 0x6e, 0xa6, 0x10, 0xb2, + 0x2c, 0xa4, 0x72, 0xe1, 0xed, 0x1d, 0x15, 0x13, 0x7e, 0x8f, + 0x18, 0xf7, 0x84, 0x87, 0x1f, 0x1c, 0x49, 0xd0, 0xce, 0xb4, + 0xba, 0x64, 0x86, 0x74, 0xde, 0x7f, 0x51, 0xae, 0x51, 0x3d, + 0x83, 0x98, 0xb7, 0xe7, 0x18, 0x90, 0x76, 0x2c, 0x30, 0x22, + 0x14, 0x44, 0x17, 0x6d, 0xb7, 0xa6, 0x87, 0x4d, 0xb7, 0xa4, + 0xf2, 0xc1, 0xe1, 0x38, 0x50, 0xb6, 0x85, 0x22, 0x42, 0xa8, + 0x8e, 0x61, 0x38, 0x03, 0x2a, 0xf0, 0x2b, 0xf2, 0x1e, 0x5a, + 0xf5, 0x79, 0xca, 0x55, 0xf0, 0xce, 0xce, 0x0b, 0xbc, 0x82, + 0x2c, 0x4a, 0x0b, 0x7d, 0x10, 0x1c, 0x8d, 0x4b, 0xd4, 0x56, + 0xbb, 0x7a, 0x74, 0x93, 0x88, 0x8e, 0xb0, 0x92, 0xe8, 0x0b, + 0x43, 0x01, 0x05, 0x11, 0x4b, 0x70, 0x22, 0x80, 0xc3, 0x28, + 0x34, 0xae, 0xb4, 0x94, 0x5d, 0x5b, 0x46, 0x13, 0xb9, 0xc1, + 0x65, 0x97, 0xef, 0x84, 0x65, 0x68, 0x6d, 0x84, 0x0c, 0x2c, + 0xf8, 0xba, 0x57, 0x3f, 0xaf, 0x6c, 0x2c, 0x43, 0xee, 0x50, + 0x67, 0x08, 0xab, 0x3c, 0xbf, 0x90, 0x2e, 0x66, 0x9f, 0xc1, + 0xd5, 0x9d, 0xa6, 0x0e, 0x50, 0x33 ), + SHARED_FAIL ); + +/** + * Perform FFDHE self-test + * + */ +static void ffdhe_test_exec ( void ) { + + /* Randomly generated valid keys */ + exchange_ok ( &ffdhe2048_random ); + exchange_ok ( &ffdhe3072_random ); + exchange_ok ( &ffdhe4096_random ); + + /* Invalid partner keys */ + exchange_ok ( &ffdhe2048_zero ); + exchange_ok ( &ffdhe2048_one ); + exchange_ok ( &ffdhe2048_minus_one ); +} + +/** FFDHE self-test */ +struct self_test ffdhe_test __self_test = { + .name = "ffdhe", + .exec = ffdhe_test_exec, +}; diff --git a/src/tests/tests.c b/src/tests/tests.c index 9a98a32f6..2b27b187e 100644 --- a/src/tests/tests.c +++ b/src/tests/tests.c @@ -93,3 +93,4 @@ REQUIRE_OBJECT ( cpio_test ); REQUIRE_OBJECT ( fdt_test ); REQUIRE_OBJECT ( ecdsa_test ); REQUIRE_OBJECT ( hkdf_test ); +REQUIRE_OBJECT ( ffdhe_test );