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- /*
- * Diffie-Hellman-Merkle key exchange
- *
- * Copyright (C) 2006-2015, ARM Limited, All Rights Reserved
- * SPDX-License-Identifier: GPL-2.0
- *
- * 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.
- *
- * This file is part of mbed TLS (https://tls.mbed.org)
- */
- /*
- * The following sources were referenced in the design of this implementation
- * of the Diffie-Hellman-Merkle algorithm:
- *
- * [1] Handbook of Applied Cryptography - 1997, Chapter 12
- * Menezes, van Oorschot and Vanstone
- *
- */
- #if !defined(MBEDTLS_CONFIG_FILE)
- #include "mbedtls/config.h"
- #else
- #include MBEDTLS_CONFIG_FILE
- #endif
- #if defined(MBEDTLS_DHM_C)
- #include "mbedtls/dhm.h"
- #include <string.h>
- #if defined(MBEDTLS_PEM_PARSE_C)
- #include "mbedtls/pem.h"
- #endif
- #if defined(MBEDTLS_ASN1_PARSE_C)
- #include "mbedtls/asn1.h"
- #endif
- #if defined(MBEDTLS_PLATFORM_C)
- #include "mbedtls/platform.h"
- #else
- #include <stdlib.h>
- #include <stdio.h>
- #define mbedtls_printf printf
- #define mbedtls_calloc calloc
- #define mbedtls_free free
- #endif
- /* Implementation that should never be optimized out by the compiler */
- static void mbedtls_zeroize( void *v, size_t n ) {
- volatile unsigned char *p = v; while( n-- ) *p++ = 0;
- }
- /*
- * helper to validate the mbedtls_mpi size and import it
- */
- static int dhm_read_bignum( mbedtls_mpi *X,
- unsigned char **p,
- const unsigned char *end )
- {
- int ret, n;
- if( end - *p < 2 )
- return( MBEDTLS_ERR_DHM_BAD_INPUT_DATA );
- n = ( (*p)[0] << 8 ) | (*p)[1];
- (*p) += 2;
- if( (int)( end - *p ) < n )
- return( MBEDTLS_ERR_DHM_BAD_INPUT_DATA );
- if( ( ret = mbedtls_mpi_read_binary( X, *p, n ) ) != 0 )
- return( MBEDTLS_ERR_DHM_READ_PARAMS_FAILED + ret );
- (*p) += n;
- return( 0 );
- }
- /*
- * Verify sanity of parameter with regards to P
- *
- * 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 mbedtls_mpi *param, const mbedtls_mpi *P )
- {
- mbedtls_mpi L, U;
- int ret = MBEDTLS_ERR_DHM_BAD_INPUT_DATA;
- mbedtls_mpi_init( &L ); mbedtls_mpi_init( &U );
- MBEDTLS_MPI_CHK( mbedtls_mpi_lset( &L, 2 ) );
- MBEDTLS_MPI_CHK( mbedtls_mpi_sub_int( &U, P, 2 ) );
- if( mbedtls_mpi_cmp_mpi( param, &L ) >= 0 &&
- mbedtls_mpi_cmp_mpi( param, &U ) <= 0 )
- {
- ret = 0;
- }
- cleanup:
- mbedtls_mpi_free( &L ); mbedtls_mpi_free( &U );
- return( ret );
- }
- void mbedtls_dhm_init( mbedtls_dhm_context *ctx )
- {
- memset( ctx, 0, sizeof( mbedtls_dhm_context ) );
- }
- /*
- * Parse the ServerKeyExchange parameters
- */
- int mbedtls_dhm_read_params( mbedtls_dhm_context *ctx,
- unsigned char **p,
- const unsigned char *end )
- {
- int ret;
- 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 = mbedtls_mpi_size( &ctx->P );
- return( 0 );
- }
- /*
- * Setup and write the ServerKeyExchange parameters
- */
- int mbedtls_dhm_make_params( mbedtls_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, count = 0;
- size_t n1, n2, n3;
- unsigned char *p;
- if( mbedtls_mpi_cmp_int( &ctx->P, 0 ) == 0 )
- return( MBEDTLS_ERR_DHM_BAD_INPUT_DATA );
- /*
- * Generate X as large as possible ( < P )
- */
- do
- {
- mbedtls_mpi_fill_random( &ctx->X, x_size, f_rng, p_rng );
- while( mbedtls_mpi_cmp_mpi( &ctx->X, &ctx->P ) >= 0 )
- MBEDTLS_MPI_CHK( mbedtls_mpi_shift_r( &ctx->X, 1 ) );
- if( count++ > 10 )
- return( MBEDTLS_ERR_DHM_MAKE_PARAMS_FAILED );
- }
- while( dhm_check_range( &ctx->X, &ctx->P ) != 0 );
- /*
- * Calculate GX = G^X mod P
- */
- MBEDTLS_MPI_CHK( mbedtls_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) \
- MBEDTLS_MPI_CHK( mbedtls_mpi_write_binary( X, p + 2, n ) ); \
- *p++ = (unsigned char)( n >> 8 ); \
- *p++ = (unsigned char)( n ); p += n;
- n1 = mbedtls_mpi_size( &ctx->P );
- n2 = mbedtls_mpi_size( &ctx->G );
- n3 = mbedtls_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( MBEDTLS_ERR_DHM_MAKE_PARAMS_FAILED + ret );
- return( 0 );
- }
- /*
- * Import the peer's public value G^Y
- */
- int mbedtls_dhm_read_public( mbedtls_dhm_context *ctx,
- const unsigned char *input, size_t ilen )
- {
- int ret;
- if( ctx == NULL || ilen < 1 || ilen > ctx->len )
- return( MBEDTLS_ERR_DHM_BAD_INPUT_DATA );
- if( ( ret = mbedtls_mpi_read_binary( &ctx->GY, input, ilen ) ) != 0 )
- return( MBEDTLS_ERR_DHM_READ_PUBLIC_FAILED + ret );
- return( 0 );
- }
- /*
- * Create own private value X and export G^X
- */
- int mbedtls_dhm_make_public( mbedtls_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, count = 0;
- if( ctx == NULL || olen < 1 || olen > ctx->len )
- return( MBEDTLS_ERR_DHM_BAD_INPUT_DATA );
- if( mbedtls_mpi_cmp_int( &ctx->P, 0 ) == 0 )
- return( MBEDTLS_ERR_DHM_BAD_INPUT_DATA );
- /*
- * generate X and calculate GX = G^X mod P
- */
- do
- {
- mbedtls_mpi_fill_random( &ctx->X, x_size, f_rng, p_rng );
- while( mbedtls_mpi_cmp_mpi( &ctx->X, &ctx->P ) >= 0 )
- MBEDTLS_MPI_CHK( mbedtls_mpi_shift_r( &ctx->X, 1 ) );
- if( count++ > 10 )
- return( MBEDTLS_ERR_DHM_MAKE_PUBLIC_FAILED );
- }
- while( dhm_check_range( &ctx->X, &ctx->P ) != 0 );
- MBEDTLS_MPI_CHK( mbedtls_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 );
- MBEDTLS_MPI_CHK( mbedtls_mpi_write_binary( &ctx->GX, output, olen ) );
- cleanup:
- if( ret != 0 )
- return( MBEDTLS_ERR_DHM_MAKE_PUBLIC_FAILED + ret );
- return( 0 );
- }
- /*
- * Use the blinding method and optimisation suggested in section 10 of:
- * KOCHER, Paul C. Timing attacks on implementations of Diffie-Hellman, RSA,
- * DSS, and other systems. In : Advances in Cryptology-CRYPTO'96. Springer
- * Berlin Heidelberg, 1996. p. 104-113.
- */
- static int dhm_update_blinding( mbedtls_dhm_context *ctx,
- int (*f_rng)(void *, unsigned char *, size_t), void *p_rng )
- {
- int ret, count;
- /*
- * Don't use any blinding the first time a particular X is used,
- * but remember it to use blinding next time.
- */
- if( mbedtls_mpi_cmp_mpi( &ctx->X, &ctx->pX ) != 0 )
- {
- MBEDTLS_MPI_CHK( mbedtls_mpi_copy( &ctx->pX, &ctx->X ) );
- MBEDTLS_MPI_CHK( mbedtls_mpi_lset( &ctx->Vi, 1 ) );
- MBEDTLS_MPI_CHK( mbedtls_mpi_lset( &ctx->Vf, 1 ) );
- return( 0 );
- }
- /*
- * Ok, we need blinding. Can we re-use existing values?
- * If yes, just update them by squaring them.
- */
- if( mbedtls_mpi_cmp_int( &ctx->Vi, 1 ) != 0 )
- {
- MBEDTLS_MPI_CHK( mbedtls_mpi_mul_mpi( &ctx->Vi, &ctx->Vi, &ctx->Vi ) );
- MBEDTLS_MPI_CHK( mbedtls_mpi_mod_mpi( &ctx->Vi, &ctx->Vi, &ctx->P ) );
- MBEDTLS_MPI_CHK( mbedtls_mpi_mul_mpi( &ctx->Vf, &ctx->Vf, &ctx->Vf ) );
- MBEDTLS_MPI_CHK( mbedtls_mpi_mod_mpi( &ctx->Vf, &ctx->Vf, &ctx->P ) );
- return( 0 );
- }
- /*
- * We need to generate blinding values from scratch
- */
- /* Vi = random( 2, P-1 ) */
- count = 0;
- do
- {
- mbedtls_mpi_fill_random( &ctx->Vi, mbedtls_mpi_size( &ctx->P ), f_rng, p_rng );
- while( mbedtls_mpi_cmp_mpi( &ctx->Vi, &ctx->P ) >= 0 )
- MBEDTLS_MPI_CHK( mbedtls_mpi_shift_r( &ctx->Vi, 1 ) );
- if( count++ > 10 )
- return( MBEDTLS_ERR_MPI_NOT_ACCEPTABLE );
- }
- while( mbedtls_mpi_cmp_int( &ctx->Vi, 1 ) <= 0 );
- /* Vf = Vi^-X mod P */
- MBEDTLS_MPI_CHK( mbedtls_mpi_inv_mod( &ctx->Vf, &ctx->Vi, &ctx->P ) );
- MBEDTLS_MPI_CHK( mbedtls_mpi_exp_mod( &ctx->Vf, &ctx->Vf, &ctx->X, &ctx->P, &ctx->RP ) );
- cleanup:
- return( ret );
- }
- /*
- * Derive and export the shared secret (G^Y)^X mod P
- */
- int mbedtls_dhm_calc_secret( mbedtls_dhm_context *ctx,
- unsigned char *output, size_t output_size, size_t *olen,
- int (*f_rng)(void *, unsigned char *, size_t),
- void *p_rng )
- {
- int ret;
- mbedtls_mpi GYb;
- if( ctx == NULL || output_size < ctx->len )
- return( MBEDTLS_ERR_DHM_BAD_INPUT_DATA );
- if( ( ret = dhm_check_range( &ctx->GY, &ctx->P ) ) != 0 )
- return( ret );
- mbedtls_mpi_init( &GYb );
- /* Blind peer's value */
- if( f_rng != NULL )
- {
- MBEDTLS_MPI_CHK( dhm_update_blinding( ctx, f_rng, p_rng ) );
- MBEDTLS_MPI_CHK( mbedtls_mpi_mul_mpi( &GYb, &ctx->GY, &ctx->Vi ) );
- MBEDTLS_MPI_CHK( mbedtls_mpi_mod_mpi( &GYb, &GYb, &ctx->P ) );
- }
- else
- MBEDTLS_MPI_CHK( mbedtls_mpi_copy( &GYb, &ctx->GY ) );
- /* Do modular exponentiation */
- MBEDTLS_MPI_CHK( mbedtls_mpi_exp_mod( &ctx->K, &GYb, &ctx->X,
- &ctx->P, &ctx->RP ) );
- /* Unblind secret value */
- if( f_rng != NULL )
- {
- MBEDTLS_MPI_CHK( mbedtls_mpi_mul_mpi( &ctx->K, &ctx->K, &ctx->Vf ) );
- MBEDTLS_MPI_CHK( mbedtls_mpi_mod_mpi( &ctx->K, &ctx->K, &ctx->P ) );
- }
- *olen = mbedtls_mpi_size( &ctx->K );
- MBEDTLS_MPI_CHK( mbedtls_mpi_write_binary( &ctx->K, output, *olen ) );
- cleanup:
- mbedtls_mpi_free( &GYb );
- if( ret != 0 )
- return( MBEDTLS_ERR_DHM_CALC_SECRET_FAILED + ret );
- return( 0 );
- }
- /*
- * Free the components of a DHM key
- */
- void mbedtls_dhm_free( mbedtls_dhm_context *ctx )
- {
- mbedtls_mpi_free( &ctx->pX); mbedtls_mpi_free( &ctx->Vf ); mbedtls_mpi_free( &ctx->Vi );
- mbedtls_mpi_free( &ctx->RP ); mbedtls_mpi_free( &ctx->K ); mbedtls_mpi_free( &ctx->GY );
- mbedtls_mpi_free( &ctx->GX ); mbedtls_mpi_free( &ctx->X ); mbedtls_mpi_free( &ctx->G );
- mbedtls_mpi_free( &ctx->P );
- mbedtls_zeroize( ctx, sizeof( mbedtls_dhm_context ) );
- }
- #if defined(MBEDTLS_ASN1_PARSE_C)
- /*
- * Parse DHM parameters
- */
- int mbedtls_dhm_parse_dhm( mbedtls_dhm_context *dhm, const unsigned char *dhmin,
- size_t dhminlen )
- {
- int ret;
- size_t len;
- unsigned char *p, *end;
- #if defined(MBEDTLS_PEM_PARSE_C)
- mbedtls_pem_context pem;
- mbedtls_pem_init( &pem );
- /* Avoid calling mbedtls_pem_read_buffer() on non-null-terminated string */
- if( dhminlen == 0 || dhmin[dhminlen - 1] != '\0' )
- ret = MBEDTLS_ERR_PEM_NO_HEADER_FOOTER_PRESENT;
- else
- ret = mbedtls_pem_read_buffer( &pem,
- "-----BEGIN DH PARAMETERS-----",
- "-----END DH PARAMETERS-----",
- dhmin, NULL, 0, &dhminlen );
- if( ret == 0 )
- {
- /*
- * Was PEM encoded
- */
- dhminlen = pem.buflen;
- }
- else if( ret != MBEDTLS_ERR_PEM_NO_HEADER_FOOTER_PRESENT )
- goto exit;
- p = ( ret == 0 ) ? pem.buf : (unsigned char *) dhmin;
- #else
- p = (unsigned char *) dhmin;
- #endif /* MBEDTLS_PEM_PARSE_C */
- end = p + dhminlen;
- /*
- * DHParams ::= SEQUENCE {
- * prime INTEGER, -- P
- * generator INTEGER, -- g
- * privateValueLength INTEGER OPTIONAL
- * }
- */
- if( ( ret = mbedtls_asn1_get_tag( &p, end, &len,
- MBEDTLS_ASN1_CONSTRUCTED | MBEDTLS_ASN1_SEQUENCE ) ) != 0 )
- {
- ret = MBEDTLS_ERR_DHM_INVALID_FORMAT + ret;
- goto exit;
- }
- end = p + len;
- if( ( ret = mbedtls_asn1_get_mpi( &p, end, &dhm->P ) ) != 0 ||
- ( ret = mbedtls_asn1_get_mpi( &p, end, &dhm->G ) ) != 0 )
- {
- ret = MBEDTLS_ERR_DHM_INVALID_FORMAT + ret;
- goto exit;
- }
- if( p != end )
- {
- /* This might be the optional privateValueLength.
- * If so, we can cleanly discard it */
- mbedtls_mpi rec;
- mbedtls_mpi_init( &rec );
- ret = mbedtls_asn1_get_mpi( &p, end, &rec );
- mbedtls_mpi_free( &rec );
- if ( ret != 0 )
- {
- ret = MBEDTLS_ERR_DHM_INVALID_FORMAT + ret;
- goto exit;
- }
- if ( p != end )
- {
- ret = MBEDTLS_ERR_DHM_INVALID_FORMAT +
- MBEDTLS_ERR_ASN1_LENGTH_MISMATCH;
- goto exit;
- }
- }
- ret = 0;
- dhm->len = mbedtls_mpi_size( &dhm->P );
- exit:
- #if defined(MBEDTLS_PEM_PARSE_C)
- mbedtls_pem_free( &pem );
- #endif
- if( ret != 0 )
- mbedtls_dhm_free( dhm );
- return( ret );
- }
- #if defined(MBEDTLS_FS_IO)
- /*
- * Load all data from a file into a given buffer.
- *
- * The file is expected to contain either PEM or DER encoded data.
- * A terminating null byte is always appended. It is included in the announced
- * length only if the data looks like it is PEM encoded.
- */
- static int load_file( const char *path, unsigned char **buf, size_t *n )
- {
- FILE *f;
- long size;
- if( ( f = fopen( path, "rb" ) ) == NULL )
- return( MBEDTLS_ERR_DHM_FILE_IO_ERROR );
- fseek( f, 0, SEEK_END );
- if( ( size = ftell( f ) ) == -1 )
- {
- fclose( f );
- return( MBEDTLS_ERR_DHM_FILE_IO_ERROR );
- }
- fseek( f, 0, SEEK_SET );
- *n = (size_t) size;
- if( *n + 1 == 0 ||
- ( *buf = mbedtls_calloc( 1, *n + 1 ) ) == NULL )
- {
- fclose( f );
- return( MBEDTLS_ERR_DHM_ALLOC_FAILED );
- }
- if( fread( *buf, 1, *n, f ) != *n )
- {
- fclose( f );
- mbedtls_free( *buf );
- return( MBEDTLS_ERR_DHM_FILE_IO_ERROR );
- }
- fclose( f );
- (*buf)[*n] = '\0';
- if( strstr( (const char *) *buf, "-----BEGIN " ) != NULL )
- ++*n;
- return( 0 );
- }
- /*
- * Load and parse DHM parameters
- */
- int mbedtls_dhm_parse_dhmfile( mbedtls_dhm_context *dhm, const char *path )
- {
- int ret;
- size_t n;
- unsigned char *buf;
- if( ( ret = load_file( path, &buf, &n ) ) != 0 )
- return( ret );
- ret = mbedtls_dhm_parse_dhm( dhm, buf, n );
- mbedtls_zeroize( buf, n );
- mbedtls_free( buf );
- return( ret );
- }
- #endif /* MBEDTLS_FS_IO */
- #endif /* MBEDTLS_ASN1_PARSE_C */
- #if defined(MBEDTLS_SELF_TEST)
- static const char mbedtls_test_dhm_params[] =
- "-----BEGIN DH PARAMETERS-----\r\n"
- "MIGHAoGBAJ419DBEOgmQTzo5qXl5fQcN9TN455wkOL7052HzxxRVMyhYmwQcgJvh\r\n"
- "1sa18fyfR9OiVEMYglOpkqVoGLN7qd5aQNNi5W7/C+VBdHTBJcGZJyyP5B3qcz32\r\n"
- "9mLJKudlVudV0Qxk5qUJaPZ/xupz0NyoVpviuiBOI1gNi8ovSXWzAgEC\r\n"
- "-----END DH PARAMETERS-----\r\n";
- static const size_t mbedtls_test_dhm_params_len = sizeof( mbedtls_test_dhm_params );
- /*
- * Checkup routine
- */
- int mbedtls_dhm_self_test( int verbose )
- {
- int ret;
- mbedtls_dhm_context dhm;
- mbedtls_dhm_init( &dhm );
- if( verbose != 0 )
- mbedtls_printf( " DHM parameter load: " );
- if( ( ret = mbedtls_dhm_parse_dhm( &dhm,
- (const unsigned char *) mbedtls_test_dhm_params,
- mbedtls_test_dhm_params_len ) ) != 0 )
- {
- if( verbose != 0 )
- mbedtls_printf( "failed\n" );
- ret = 1;
- goto exit;
- }
- if( verbose != 0 )
- mbedtls_printf( "passed\n\n" );
- exit:
- mbedtls_dhm_free( &dhm );
- return( ret );
- }
- #endif /* MBEDTLS_SELF_TEST */
- #endif /* MBEDTLS_DHM_C */
|