/* * Diffie-Hellman-Merkle key exchange * * Copyright (C) 2006-2010, Brainspark B.V. * * This file is part of PolarSSL (http://www.polarssl.org) * Lead Maintainer: Paul Bakker * * All rights reserved. * * 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 * (at your option) 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. */ /* * Reference: * * http://www.cacr.math.uwaterloo.ca/hac/ (chapter 12) */ #include "polarssl/config.h" #if defined(POLARSSL_DHM_C) #include "polarssl/dhm.h" /* * helper to validate the mpi size and import it */ static int dhm_read_bignum( mpi *X, unsigned char **p, const unsigned char *end ) { int ret, n; if( end - *p < 2 ) return( POLARSSL_ERR_DHM_BAD_INPUT_DATA ); n = ( (*p)[0] << 8 ) | (*p)[1]; (*p) += 2; if( (int)( end - *p ) < n ) return( POLARSSL_ERR_DHM_BAD_INPUT_DATA ); if( ( ret = mpi_read_binary( X, *p, n ) ) != 0 ) return( POLARSSL_ERR_DHM_READ_PARAMS_FAILED + ret ); (*p) += n; return( 0 ); } /* * Verify sanity of public parameter with regards to P * * Public parameter should be: 2 <= public_param <= P - 2 * * For more information on the attack, see: * http://www.cl.cam.ac.uk/~rja14/Papers/psandqs.pdf * http://web.nvd.nist.gov/view/vuln/detail?vulnId=CVE-2005-2643 */ static int dhm_check_range( const mpi *public_param, const mpi *P ) { mpi L, U; int ret = POLARSSL_ERR_DHM_BAD_INPUT_DATA; mpi_init( &L ); mpi_init( &U ); mpi_lset( &L, 2 ); mpi_sub_int( &U, P, 2 ); if( mpi_cmp_mpi( public_param, &L ) >= 0 && mpi_cmp_mpi( public_param, &U ) <= 0 ) { ret = 0; } mpi_free( &L ); mpi_free( &U ); return( ret ); } /* * Parse the ServerKeyExchange parameters */ int dhm_read_params( dhm_context *ctx, unsigned char **p, const unsigned char *end ) { int ret; memset( ctx, 0, sizeof( dhm_context ) ); if( ( ret = dhm_read_bignum( &ctx->P, p, end ) ) != 0 || ( ret = dhm_read_bignum( &ctx->G, p, end ) ) != 0 || ( ret = dhm_read_bignum( &ctx->GY, p, end ) ) != 0 ) return( ret ); if( ( ret = dhm_check_range( &ctx->GY, &ctx->P ) ) != 0 ) return( ret ); ctx->len = mpi_size( &ctx->P ); if( end - *p < 2 ) return( POLARSSL_ERR_DHM_BAD_INPUT_DATA ); return( 0 ); } /* * Setup and write the ServerKeyExchange parameters */ int dhm_make_params( dhm_context *ctx, int x_size, unsigned char *output, size_t *olen, int (*f_rng)(void *, unsigned char *, size_t), void *p_rng ) { int ret, n; size_t n1, n2, n3; unsigned char *p; /* * Generate X as large as possible ( < P ) */ n = x_size / sizeof( t_uint ) + 1; mpi_fill_random( &ctx->X, n, f_rng, p_rng ); while( mpi_cmp_mpi( &ctx->X, &ctx->P ) >= 0 ) mpi_shift_r( &ctx->X, 1 ); /* * Calculate GX = G^X mod P */ MPI_CHK( mpi_exp_mod( &ctx->GX, &ctx->G, &ctx->X, &ctx->P , &ctx->RP ) ); if( ( ret = dhm_check_range( &ctx->GX, &ctx->P ) ) != 0 ) return( ret ); /* * export P, G, GX */ #define DHM_MPI_EXPORT(X,n) \ MPI_CHK( mpi_write_binary( X, p + 2, n ) ); \ *p++ = (unsigned char)( n >> 8 ); \ *p++ = (unsigned char)( n ); p += n; n1 = mpi_size( &ctx->P ); n2 = mpi_size( &ctx->G ); n3 = mpi_size( &ctx->GX ); p = output; DHM_MPI_EXPORT( &ctx->P , n1 ); DHM_MPI_EXPORT( &ctx->G , n2 ); DHM_MPI_EXPORT( &ctx->GX, n3 ); *olen = p - output; ctx->len = n1; cleanup: if( ret != 0 ) return( POLARSSL_ERR_DHM_MAKE_PARAMS_FAILED + ret ); return( 0 ); } /* * Import the peer's public value G^Y */ int dhm_read_public( dhm_context *ctx, const unsigned char *input, size_t ilen ) { int ret; if( ctx == NULL || ilen < 1 || ilen > ctx->len ) return( POLARSSL_ERR_DHM_BAD_INPUT_DATA ); if( ( ret = mpi_read_binary( &ctx->GY, input, ilen ) ) != 0 ) return( POLARSSL_ERR_DHM_READ_PUBLIC_FAILED + ret ); return( 0 ); } /* * Create own private value X and export G^X */ int dhm_make_public( dhm_context *ctx, int x_size, unsigned char *output, size_t olen, int (*f_rng)(void *, unsigned char *, size_t), void *p_rng ) { int ret, n; if( ctx == NULL || olen < 1 || olen > ctx->len ) return( POLARSSL_ERR_DHM_BAD_INPUT_DATA ); /* * generate X and calculate GX = G^X mod P */ n = x_size / sizeof( t_uint ) + 1; mpi_fill_random( &ctx->X, n, f_rng, p_rng ); while( mpi_cmp_mpi( &ctx->X, &ctx->P ) >= 0 ) mpi_shift_r( &ctx->X, 1 ); MPI_CHK( mpi_exp_mod( &ctx->GX, &ctx->G, &ctx->X, &ctx->P , &ctx->RP ) ); if( ( ret = dhm_check_range( &ctx->GX, &ctx->P ) ) != 0 ) return( ret ); MPI_CHK( mpi_write_binary( &ctx->GX, output, olen ) ); cleanup: if( ret != 0 ) return( POLARSSL_ERR_DHM_MAKE_PUBLIC_FAILED + ret ); return( 0 ); } /* * Derive and export the shared secret (G^Y)^X mod P */ int dhm_calc_secret( dhm_context *ctx, unsigned char *output, size_t *olen ) { int ret; if( ctx == NULL || *olen < ctx->len ) return( POLARSSL_ERR_DHM_BAD_INPUT_DATA ); MPI_CHK( mpi_exp_mod( &ctx->K, &ctx->GY, &ctx->X, &ctx->P, &ctx->RP ) ); if( ( ret = dhm_check_range( &ctx->GY, &ctx->P ) ) != 0 ) return( ret ); *olen = mpi_size( &ctx->K ); MPI_CHK( mpi_write_binary( &ctx->K, output, *olen ) ); cleanup: if( ret != 0 ) return( POLARSSL_ERR_DHM_CALC_SECRET_FAILED + ret ); return( 0 ); } /* * Free the components of a DHM key */ void dhm_free( dhm_context *ctx ) { mpi_free( &ctx->RP ); mpi_free( &ctx->K ); mpi_free( &ctx->GY ); mpi_free( &ctx->GX ); mpi_free( &ctx->X ); mpi_free( &ctx->G ); mpi_free( &ctx->P ); } #if defined(POLARSSL_SELF_TEST) /* * Checkup routine */ int dhm_self_test( int verbose ) { return( verbose++ ); } #endif #endif