/* * Elliptic curve Diffie-Hellman * * Copyright (C) 2006-2015, ARM Limited, All Rights Reserved * SPDX-License-Identifier: Apache-2.0 * * Licensed under the Apache License, Version 2.0 (the "License"); you may * not use this file except in compliance with the License. * You may obtain a copy of the License at * * http://www.apache.org/licenses/LICENSE-2.0 * * Unless required by applicable law or agreed to in writing, software * distributed under the License is distributed on an "AS IS" BASIS, WITHOUT * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. * See the License for the specific language governing permissions and * limitations under the License. * * This file is part of mbed TLS (https://tls.mbed.org) */ /* * References: * * SEC1 http://www.secg.org/index.php?action=secg,docs_secg * RFC 4492 */ #if !defined(MBEDTLS_CONFIG_FILE) #include "mbedtls/config.h" #else #include MBEDTLS_CONFIG_FILE #endif #if defined(MBEDTLS_ECDH_C) #include "mbedtls/ecdh.h" #include #if !defined(MBEDTLS_ECDH_GEN_PUBLIC_ALT) /* * Generate public key (restartable version) * * Note: this internal function relies on its caller preserving the value of * the output parameter 'd' across continuation calls. This would not be * acceptable for a public function but is OK here as we control call sites. */ static int ecdh_gen_public_restartable( mbedtls_ecp_group *grp, mbedtls_mpi *d, mbedtls_ecp_point *Q, int (*f_rng)(void *, unsigned char *, size_t), void *p_rng, mbedtls_ecp_restart_ctx *rs_ctx ) { int ret; /* If multiplication is in progress, we already generated a privkey */ #if defined(MBEDTLS_ECP_RESTARTABLE) if( rs_ctx == NULL || rs_ctx->rsm == NULL ) #endif MBEDTLS_MPI_CHK( mbedtls_ecp_gen_privkey( grp, d, f_rng, p_rng ) ); MBEDTLS_MPI_CHK( mbedtls_ecp_mul_restartable( grp, Q, d, &grp->G, f_rng, p_rng, rs_ctx ) ); cleanup: return( ret ); } /* * Generate public key */ int mbedtls_ecdh_gen_public( mbedtls_ecp_group *grp, mbedtls_mpi *d, mbedtls_ecp_point *Q, int (*f_rng)(void *, unsigned char *, size_t), void *p_rng ) { return( ecdh_gen_public_restartable( grp, d, Q, f_rng, p_rng, NULL ) ); } #endif /* !MBEDTLS_ECDH_GEN_PUBLIC_ALT */ #if !defined(MBEDTLS_ECDH_COMPUTE_SHARED_ALT) /* * Compute shared secret (SEC1 3.3.1) */ static int ecdh_compute_shared_restartable( mbedtls_ecp_group *grp, mbedtls_mpi *z, const mbedtls_ecp_point *Q, const mbedtls_mpi *d, int (*f_rng)(void *, unsigned char *, size_t), void *p_rng, mbedtls_ecp_restart_ctx *rs_ctx ) { int ret; mbedtls_ecp_point P; mbedtls_ecp_point_init( &P ); MBEDTLS_MPI_CHK( mbedtls_ecp_mul_restartable( grp, &P, d, Q, f_rng, p_rng, rs_ctx ) ); if( mbedtls_ecp_is_zero( &P ) ) { ret = MBEDTLS_ERR_ECP_BAD_INPUT_DATA; goto cleanup; } MBEDTLS_MPI_CHK( mbedtls_mpi_copy( z, &P.X ) ); cleanup: mbedtls_ecp_point_free( &P ); return( ret ); } /* * Compute shared secret (SEC1 3.3.1) */ int mbedtls_ecdh_compute_shared( mbedtls_ecp_group *grp, mbedtls_mpi *z, const mbedtls_ecp_point *Q, const mbedtls_mpi *d, int (*f_rng)(void *, unsigned char *, size_t), void *p_rng ) { return( ecdh_compute_shared_restartable( grp, z, Q, d, f_rng, p_rng, NULL ) ); } #endif /* !MBEDTLS_ECDH_COMPUTE_SHARED_ALT */ /* * Initialize context */ void mbedtls_ecdh_init( mbedtls_ecdh_context *ctx ) { mbedtls_ecp_group_init( &ctx->grp ); mbedtls_mpi_init( &ctx->d ); mbedtls_ecp_point_init( &ctx->Q ); mbedtls_ecp_point_init( &ctx->Qp ); mbedtls_mpi_init( &ctx->z ); ctx->point_format = MBEDTLS_ECP_PF_UNCOMPRESSED; mbedtls_ecp_point_init( &ctx->Vi ); mbedtls_ecp_point_init( &ctx->Vf ); mbedtls_mpi_init( &ctx->_d ); #if defined(MBEDTLS_ECP_RESTARTABLE) ctx->restart_enabled = 0; mbedtls_ecp_restart_init( &ctx->rs ); #endif } /* * Free context */ void mbedtls_ecdh_free( mbedtls_ecdh_context *ctx ) { if( ctx == NULL ) return; mbedtls_ecp_group_free( &ctx->grp ); mbedtls_mpi_free( &ctx->d ); mbedtls_ecp_point_free( &ctx->Q ); mbedtls_ecp_point_free( &ctx->Qp ); mbedtls_mpi_free( &ctx->z ); mbedtls_ecp_point_free( &ctx->Vi ); mbedtls_ecp_point_free( &ctx->Vf ); mbedtls_mpi_free( &ctx->_d ); #if defined(MBEDTLS_ECP_RESTARTABLE) mbedtls_ecp_restart_free( &ctx->rs ); #endif } #if defined(MBEDTLS_ECP_RESTARTABLE) /* * Enable restartable operations for context */ void mbedtls_ecdh_enable_restart( mbedtls_ecdh_context *ctx ) { ctx->restart_enabled = 1; } #endif /* * Setup and write the ServerKeyExhange parameters (RFC 4492) * struct { * ECParameters curve_params; * ECPoint public; * } ServerECDHParams; */ int mbedtls_ecdh_make_params( mbedtls_ecdh_context *ctx, size_t *olen, unsigned char *buf, size_t blen, int (*f_rng)(void *, unsigned char *, size_t), void *p_rng ) { int ret; size_t grp_len, pt_len; #if !defined(MBEDTLS_ECDH_GEN_PUBLIC_ALT) mbedtls_ecp_restart_ctx *rs_ctx = NULL; #endif if( ctx == NULL || ctx->grp.pbits == 0 ) return( MBEDTLS_ERR_ECP_BAD_INPUT_DATA ); #if defined(MBEDTLS_ECP_RESTARTABLE) && !defined(MBEDTLS_ECDH_GEN_PUBLIC_ALT) if( ctx->restart_enabled ) rs_ctx = &ctx->rs; #endif #if defined(MBEDTLS_ECDH_GEN_PUBLIC_ALT) if( ( ret = mbedtls_ecdh_gen_public( &ctx->grp, &ctx->d, &ctx->Q, f_rng, p_rng ) ) != 0 ) return( ret ); #else if( ( ret = ecdh_gen_public_restartable( &ctx->grp, &ctx->d, &ctx->Q, f_rng, p_rng, rs_ctx ) ) != 0 ) return( ret ); #endif /* MBEDTLS_ECDH_GEN_PUBLIC_ALT */ if( ( ret = mbedtls_ecp_tls_write_group( &ctx->grp, &grp_len, buf, blen ) ) != 0 ) return( ret ); buf += grp_len; blen -= grp_len; if( ( ret = mbedtls_ecp_tls_write_point( &ctx->grp, &ctx->Q, ctx->point_format, &pt_len, buf, blen ) ) != 0 ) return( ret ); *olen = grp_len + pt_len; return( 0 ); } /* * Read the ServerKeyExhange parameters (RFC 4492) * struct { * ECParameters curve_params; * ECPoint public; * } ServerECDHParams; */ int mbedtls_ecdh_read_params( mbedtls_ecdh_context *ctx, const unsigned char **buf, const unsigned char *end ) { int ret; if( ( ret = mbedtls_ecp_tls_read_group( &ctx->grp, buf, end - *buf ) ) != 0 ) return( ret ); if( ( ret = mbedtls_ecp_tls_read_point( &ctx->grp, &ctx->Qp, buf, end - *buf ) ) != 0 ) return( ret ); return( 0 ); } /* * Get parameters from a keypair */ int mbedtls_ecdh_get_params( mbedtls_ecdh_context *ctx, const mbedtls_ecp_keypair *key, mbedtls_ecdh_side side ) { int ret; if( ( ret = mbedtls_ecp_group_copy( &ctx->grp, &key->grp ) ) != 0 ) return( ret ); /* If it's not our key, just import the public part as Qp */ if( side == MBEDTLS_ECDH_THEIRS ) return( mbedtls_ecp_copy( &ctx->Qp, &key->Q ) ); /* Our key: import public (as Q) and private parts */ if( side != MBEDTLS_ECDH_OURS ) return( MBEDTLS_ERR_ECP_BAD_INPUT_DATA ); if( ( ret = mbedtls_ecp_copy( &ctx->Q, &key->Q ) ) != 0 || ( ret = mbedtls_mpi_copy( &ctx->d, &key->d ) ) != 0 ) return( ret ); return( 0 ); } /* * Setup and export the client public value */ int mbedtls_ecdh_make_public( mbedtls_ecdh_context *ctx, size_t *olen, unsigned char *buf, size_t blen, int (*f_rng)(void *, unsigned char *, size_t), void *p_rng ) { int ret; #if !defined(MBEDTLS_ECDH_GEN_PUBLIC_ALT) mbedtls_ecp_restart_ctx *rs_ctx = NULL; #endif if( ctx == NULL || ctx->grp.pbits == 0 ) return( MBEDTLS_ERR_ECP_BAD_INPUT_DATA ); #if defined(MBEDTLS_ECP_RESTARTABLE) && !defined(MBEDTLS_ECDH_GEN_PUBLIC_ALT) if( ctx->restart_enabled ) rs_ctx = &ctx->rs; #endif #if defined(MBEDTLS_ECDH_GEN_PUBLIC_ALT) if( ( ret = mbedtls_ecdh_gen_public( &ctx->grp, &ctx->d, &ctx->Q, f_rng, p_rng ) ) != 0 ) return( ret ); #else if( ( ret = ecdh_gen_public_restartable( &ctx->grp, &ctx->d, &ctx->Q, f_rng, p_rng, rs_ctx ) ) != 0 ) return( ret ); #endif /* MBEDTLS_ECDH_GEN_PUBLIC_ALT */ return mbedtls_ecp_tls_write_point( &ctx->grp, &ctx->Q, ctx->point_format, olen, buf, blen ); } /* * Parse and import the client's public value */ int mbedtls_ecdh_read_public( mbedtls_ecdh_context *ctx, const unsigned char *buf, size_t blen ) { int ret; const unsigned char *p = buf; if( ctx == NULL ) return( MBEDTLS_ERR_ECP_BAD_INPUT_DATA ); if( ( ret = mbedtls_ecp_tls_read_point( &ctx->grp, &ctx->Qp, &p, blen ) ) != 0 ) return( ret ); if( (size_t)( p - buf ) != blen ) return( MBEDTLS_ERR_ECP_BAD_INPUT_DATA ); return( 0 ); } /* * Derive and export the shared secret */ int mbedtls_ecdh_calc_secret( mbedtls_ecdh_context *ctx, size_t *olen, unsigned char *buf, size_t blen, int (*f_rng)(void *, unsigned char *, size_t), void *p_rng ) { int ret; #if !defined(MBEDTLS_ECDH_COMPUTE_SHARED_ALT) mbedtls_ecp_restart_ctx *rs_ctx = NULL; #endif if( ctx == NULL || ctx->grp.pbits == 0 ) return( MBEDTLS_ERR_ECP_BAD_INPUT_DATA ); #if defined(MBEDTLS_ECP_RESTARTABLE) && !defined(MBEDTLS_ECDH_GEN_PUBLIC_ALT) if( ctx->restart_enabled ) rs_ctx = &ctx->rs; #endif #if defined(MBEDTLS_ECDH_COMPUTE_SHARED_ALT) if( ( ret = mbedtls_ecdh_compute_shared( &ctx->grp, &ctx->z, &ctx->Qp, &ctx->d, f_rng, p_rng ) ) != 0 ) { return( ret ); } #else if( ( ret = ecdh_compute_shared_restartable( &ctx->grp, &ctx->z, &ctx->Qp, &ctx->d, f_rng, p_rng, rs_ctx ) ) != 0 ) { return( ret ); } #endif /* MBEDTLS_ECDH_COMPUTE_SHARED_ALT */ if( mbedtls_mpi_size( &ctx->z ) > blen ) return( MBEDTLS_ERR_ECP_BAD_INPUT_DATA ); *olen = ctx->grp.pbits / 8 + ( ( ctx->grp.pbits % 8 ) != 0 ); return mbedtls_mpi_write_binary( &ctx->z, buf, *olen ); } #endif /* MBEDTLS_ECDH_C */