| 1 | /* |
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| 2 | * Diffie-Hellman-Merkle key exchange |
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| 3 | * |
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| 4 | * Copyright (C) 2006-2010, Brainspark B.V. |
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| 5 | * |
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| 6 | * This file is part of PolarSSL (http://www.polarssl.org) |
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| 7 | * Lead Maintainer: Paul Bakker <polarssl_maintainer at polarssl.org> |
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| 8 | * |
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| 9 | * All rights reserved. |
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| 10 | * |
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| 11 | * This program is free software; you can redistribute it and/or modify |
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| 12 | * it under the terms of the GNU General Public License as published by |
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| 13 | * the Free Software Foundation; either version 2 of the License, or |
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| 14 | * (at your option) any later version. |
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| 15 | * |
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| 16 | * This program is distributed in the hope that it will be useful, |
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| 17 | * but WITHOUT ANY WARRANTY; without even the implied warranty of |
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| 18 | * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
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| 19 | * GNU General Public License for more details. |
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| 20 | * |
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| 21 | * You should have received a copy of the GNU General Public License along |
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| 22 | * with this program; if not, write to the Free Software Foundation, Inc., |
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| 23 | * 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA. |
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| 24 | */ |
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| 25 | /* |
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| 26 | * Reference: |
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| 27 | * |
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| 28 | * http://www.cacr.math.uwaterloo.ca/hac/ (chapter 12) |
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| 29 | */ |
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| 30 | |
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| 31 | #include "polarssl/config.h" |
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| 32 | |
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| 33 | #if defined(POLARSSL_DHM_C) |
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| 34 | |
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| 35 | #include "polarssl/dhm.h" |
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| 36 | |
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| 37 | /* |
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| 38 | * helper to validate the mpi size and import it |
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| 39 | */ |
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| 40 | static int dhm_read_bignum( mpi *X, |
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| 41 | unsigned char **p, |
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| 42 | const unsigned char *end ) |
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| 43 | { |
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| 44 | int ret, n; |
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| 45 | |
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| 46 | if( end - *p < 2 ) |
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| 47 | return( POLARSSL_ERR_DHM_BAD_INPUT_DATA ); |
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| 48 | |
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| 49 | n = ( (*p)[0] << 8 ) | (*p)[1]; |
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| 50 | (*p) += 2; |
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| 51 | |
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| 52 | if( (int)( end - *p ) < n ) |
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| 53 | return( POLARSSL_ERR_DHM_BAD_INPUT_DATA ); |
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| 54 | |
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| 55 | if( ( ret = mpi_read_binary( X, *p, n ) ) != 0 ) |
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| 56 | return( POLARSSL_ERR_DHM_READ_PARAMS_FAILED + ret ); |
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| 57 | |
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| 58 | (*p) += n; |
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| 59 | |
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| 60 | return( 0 ); |
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| 61 | } |
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| 62 | |
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| 63 | /* |
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| 64 | * Verify sanity of parameter with regards to P |
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| 65 | * |
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| 66 | * Parameter should be: 2 <= public_param <= P - 2 |
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| 67 | * |
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| 68 | * For more information on the attack, see: |
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| 69 | * http://www.cl.cam.ac.uk/~rja14/Papers/psandqs.pdf |
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| 70 | * http://web.nvd.nist.gov/view/vuln/detail?vulnId=CVE-2005-2643 |
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| 71 | */ |
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| 72 | static int dhm_check_range( const mpi *param, const mpi *P ) |
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| 73 | { |
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| 74 | mpi L, U; |
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| 75 | int ret = POLARSSL_ERR_DHM_BAD_INPUT_DATA; |
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| 76 | |
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| 77 | mpi_init( &L ); mpi_init( &U ); |
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| 78 | mpi_lset( &L, 2 ); |
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| 79 | mpi_sub_int( &U, P, 2 ); |
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| 80 | |
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| 81 | if( mpi_cmp_mpi( param, &L ) >= 0 && |
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| 82 | mpi_cmp_mpi( param, &U ) <= 0 ) |
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| 83 | { |
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| 84 | ret = 0; |
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| 85 | } |
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| 86 | |
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| 87 | mpi_free( &L ); mpi_free( &U ); |
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| 88 | |
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| 89 | return( ret ); |
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| 90 | } |
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| 91 | |
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| 92 | /* |
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| 93 | * Parse the ServerKeyExchange parameters |
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| 94 | */ |
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| 95 | int dhm_read_params( dhm_context *ctx, |
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| 96 | unsigned char **p, |
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| 97 | const unsigned char *end ) |
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| 98 | { |
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| 99 | int ret; |
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| 100 | |
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| 101 | memset( ctx, 0, sizeof( dhm_context ) ); |
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| 102 | |
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| 103 | if( ( ret = dhm_read_bignum( &ctx->P, p, end ) ) != 0 || |
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| 104 | ( ret = dhm_read_bignum( &ctx->G, p, end ) ) != 0 || |
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| 105 | ( ret = dhm_read_bignum( &ctx->GY, p, end ) ) != 0 ) |
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| 106 | return( ret ); |
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| 107 | |
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| 108 | if( ( ret = dhm_check_range( &ctx->GY, &ctx->P ) ) != 0 ) |
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| 109 | return( ret ); |
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| 110 | |
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| 111 | ctx->len = mpi_size( &ctx->P ); |
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| 112 | |
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| 113 | if( end - *p < 2 ) |
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| 114 | return( POLARSSL_ERR_DHM_BAD_INPUT_DATA ); |
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| 115 | |
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| 116 | return( 0 ); |
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| 117 | } |
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| 118 | |
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| 119 | /* |
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| 120 | * Setup and write the ServerKeyExchange parameters |
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| 121 | */ |
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| 122 | int dhm_make_params( dhm_context *ctx, int x_size, |
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| 123 | unsigned char *output, size_t *olen, |
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| 124 | int (*f_rng)(void *, unsigned char *, size_t), |
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| 125 | void *p_rng ) |
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| 126 | { |
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| 127 | int ret, count = 0; |
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| 128 | size_t n1, n2, n3; |
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| 129 | unsigned char *p; |
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| 130 | |
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| 131 | /* |
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| 132 | * Generate X as large as possible ( < P ) |
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| 133 | */ |
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| 134 | do |
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| 135 | { |
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| 136 | mpi_fill_random( &ctx->X, x_size, f_rng, p_rng ); |
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| 137 | |
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| 138 | while( mpi_cmp_mpi( &ctx->X, &ctx->P ) >= 0 ) |
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| 139 | mpi_shift_r( &ctx->X, 1 ); |
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| 140 | |
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| 141 | if( count++ > 10 ) |
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| 142 | return( POLARSSL_ERR_DHM_MAKE_PARAMS_FAILED ); |
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| 143 | } |
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| 144 | while( dhm_check_range( &ctx->X, &ctx->P ) != 0 ); |
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| 145 | |
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| 146 | /* |
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| 147 | * Calculate GX = G^X mod P |
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| 148 | */ |
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| 149 | MPI_CHK( mpi_exp_mod( &ctx->GX, &ctx->G, &ctx->X, |
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| 150 | &ctx->P , &ctx->RP ) ); |
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| 151 | |
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| 152 | if( ( ret = dhm_check_range( &ctx->GX, &ctx->P ) ) != 0 ) |
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| 153 | return( ret ); |
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| 154 | |
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| 155 | /* |
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| 156 | * export P, G, GX |
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| 157 | */ |
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| 158 | #define DHM_MPI_EXPORT(X,n) \ |
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| 159 | MPI_CHK( mpi_write_binary( X, p + 2, n ) ); \ |
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| 160 | *p++ = (unsigned char)( n >> 8 ); \ |
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| 161 | *p++ = (unsigned char)( n ); p += n; |
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| 162 | |
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| 163 | n1 = mpi_size( &ctx->P ); |
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| 164 | n2 = mpi_size( &ctx->G ); |
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| 165 | n3 = mpi_size( &ctx->GX ); |
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| 166 | |
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| 167 | p = output; |
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| 168 | DHM_MPI_EXPORT( &ctx->P , n1 ); |
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| 169 | DHM_MPI_EXPORT( &ctx->G , n2 ); |
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| 170 | DHM_MPI_EXPORT( &ctx->GX, n3 ); |
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| 171 | |
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| 172 | *olen = p - output; |
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| 173 | |
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| 174 | ctx->len = n1; |
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| 175 | |
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| 176 | cleanup: |
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| 177 | |
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| 178 | if( ret != 0 ) |
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| 179 | return( POLARSSL_ERR_DHM_MAKE_PARAMS_FAILED + ret ); |
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| 180 | |
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| 181 | return( 0 ); |
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| 182 | } |
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| 183 | |
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| 184 | /* |
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| 185 | * Import the peer's public value G^Y |
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| 186 | */ |
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| 187 | int dhm_read_public( dhm_context *ctx, |
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| 188 | const unsigned char *input, size_t ilen ) |
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| 189 | { |
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| 190 | int ret; |
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| 191 | |
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| 192 | if( ctx == NULL || ilen < 1 || ilen > ctx->len ) |
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| 193 | return( POLARSSL_ERR_DHM_BAD_INPUT_DATA ); |
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| 194 | |
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| 195 | if( ( ret = mpi_read_binary( &ctx->GY, input, ilen ) ) != 0 ) |
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| 196 | return( POLARSSL_ERR_DHM_READ_PUBLIC_FAILED + ret ); |
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| 197 | |
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| 198 | return( 0 ); |
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| 199 | } |
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| 200 | |
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| 201 | /* |
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| 202 | * Create own private value X and export G^X |
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| 203 | */ |
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| 204 | int dhm_make_public( dhm_context *ctx, int x_size, |
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| 205 | unsigned char *output, size_t olen, |
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| 206 | int (*f_rng)(void *, unsigned char *, size_t), |
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| 207 | void *p_rng ) |
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| 208 | { |
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| 209 | int ret, count = 0; |
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| 210 | |
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| 211 | if( ctx == NULL || olen < 1 || olen > ctx->len ) |
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| 212 | return( POLARSSL_ERR_DHM_BAD_INPUT_DATA ); |
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| 213 | |
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| 214 | /* |
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| 215 | * generate X and calculate GX = G^X mod P |
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| 216 | */ |
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| 217 | do |
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| 218 | { |
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| 219 | mpi_fill_random( &ctx->X, x_size, f_rng, p_rng ); |
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| 220 | |
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| 221 | while( mpi_cmp_mpi( &ctx->X, &ctx->P ) >= 0 ) |
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| 222 | mpi_shift_r( &ctx->X, 1 ); |
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| 223 | |
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| 224 | if( count++ > 10 ) |
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| 225 | return( POLARSSL_ERR_DHM_MAKE_PUBLIC_FAILED ); |
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| 226 | } |
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| 227 | while( dhm_check_range( &ctx->X, &ctx->P ) != 0 ); |
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| 228 | |
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| 229 | MPI_CHK( mpi_exp_mod( &ctx->GX, &ctx->G, &ctx->X, |
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| 230 | &ctx->P , &ctx->RP ) ); |
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| 231 | |
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| 232 | if( ( ret = dhm_check_range( &ctx->GX, &ctx->P ) ) != 0 ) |
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| 233 | return( ret ); |
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| 234 | |
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| 235 | MPI_CHK( mpi_write_binary( &ctx->GX, output, olen ) ); |
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| 236 | |
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| 237 | cleanup: |
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| 238 | |
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| 239 | if( ret != 0 ) |
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| 240 | return( POLARSSL_ERR_DHM_MAKE_PUBLIC_FAILED + ret ); |
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| 241 | |
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| 242 | return( 0 ); |
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| 243 | } |
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| 244 | |
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| 245 | /* |
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| 246 | * Derive and export the shared secret (G^Y)^X mod P |
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| 247 | */ |
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| 248 | int dhm_calc_secret( dhm_context *ctx, |
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| 249 | unsigned char *output, size_t *olen ) |
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| 250 | { |
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| 251 | int ret; |
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| 252 | |
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| 253 | if( ctx == NULL || *olen < ctx->len ) |
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| 254 | return( POLARSSL_ERR_DHM_BAD_INPUT_DATA ); |
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| 255 | |
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| 256 | MPI_CHK( mpi_exp_mod( &ctx->K, &ctx->GY, &ctx->X, |
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| 257 | &ctx->P, &ctx->RP ) ); |
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| 258 | |
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| 259 | if( ( ret = dhm_check_range( &ctx->GY, &ctx->P ) ) != 0 ) |
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| 260 | return( ret ); |
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| 261 | |
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| 262 | *olen = mpi_size( &ctx->K ); |
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| 263 | |
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| 264 | MPI_CHK( mpi_write_binary( &ctx->K, output, *olen ) ); |
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| 265 | |
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| 266 | cleanup: |
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| 267 | |
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| 268 | if( ret != 0 ) |
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| 269 | return( POLARSSL_ERR_DHM_CALC_SECRET_FAILED + ret ); |
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| 270 | |
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| 271 | return( 0 ); |
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| 272 | } |
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| 273 | |
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| 274 | /* |
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| 275 | * Free the components of a DHM key |
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| 276 | */ |
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| 277 | void dhm_free( dhm_context *ctx ) |
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| 278 | { |
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| 279 | mpi_free( &ctx->RP ); mpi_free( &ctx->K ); mpi_free( &ctx->GY ); |
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| 280 | mpi_free( &ctx->GX ); mpi_free( &ctx->X ); mpi_free( &ctx->G ); |
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| 281 | mpi_free( &ctx->P ); |
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| 282 | } |
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| 283 | |
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| 284 | #if defined(POLARSSL_SELF_TEST) |
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| 285 | |
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| 286 | /* |
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| 287 | * Checkup routine |
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| 288 | */ |
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| 289 | int dhm_self_test( int verbose ) |
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| 290 | { |
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| 291 | return( verbose++ ); |
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| 292 | } |
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| 293 | |
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| 294 | #endif |
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| 295 | |
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| 296 | #endif |
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