mirror of
https://github.com/RfidResearchGroup/proxmark3.git
synced 2024-11-11 18:33:18 +08:00
228 lines
8.9 KiB
C
228 lines
8.9 KiB
C
/**
|
|
* \file rsa_internal.h
|
|
*
|
|
* \brief Context-independent RSA helper functions
|
|
*
|
|
* This module declares some RSA-related helper functions useful when
|
|
* implementing the RSA interface. These functions are provided in a separate
|
|
* compilation unit in order to make it easy for designers of alternative RSA
|
|
* implementations to use them in their own code, as it is conceived that the
|
|
* functionality they provide will be necessary for most complete
|
|
* implementations.
|
|
*
|
|
* End-users of Mbed TLS who are not providing their own alternative RSA
|
|
* implementations should not use these functions directly, and should instead
|
|
* use only the functions declared in rsa.h.
|
|
*
|
|
* The interface provided by this module will be maintained through LTS (Long
|
|
* Term Support) branches of Mbed TLS, but may otherwise be subject to change,
|
|
* and must be considered an internal interface of the library.
|
|
*
|
|
* There are two classes of helper functions:
|
|
*
|
|
* (1) Parameter-generating helpers. These are:
|
|
* - mbedtls_rsa_deduce_primes
|
|
* - mbedtls_rsa_deduce_private_exponent
|
|
* - mbedtls_rsa_deduce_crt
|
|
* Each of these functions takes a set of core RSA parameters and
|
|
* generates some other, or CRT related parameters.
|
|
*
|
|
* (2) Parameter-checking helpers. These are:
|
|
* - mbedtls_rsa_validate_params
|
|
* - mbedtls_rsa_validate_crt
|
|
* They take a set of core or CRT related RSA parameters and check their
|
|
* validity.
|
|
*
|
|
*/
|
|
/*
|
|
* Copyright (C) 2006-2017, 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)
|
|
*
|
|
*/
|
|
|
|
#ifndef MBEDTLS_RSA_INTERNAL_H
|
|
#define MBEDTLS_RSA_INTERNAL_H
|
|
|
|
#if !defined(MBEDTLS_CONFIG_FILE)
|
|
#include "config.h"
|
|
#else
|
|
#include MBEDTLS_CONFIG_FILE
|
|
#endif
|
|
|
|
#include "bignum.h"
|
|
|
|
#ifdef __cplusplus
|
|
extern "C" {
|
|
#endif
|
|
|
|
|
|
/**
|
|
* \brief Compute RSA prime moduli P, Q from public modulus N=PQ
|
|
* and a pair of private and public key.
|
|
*
|
|
* \note This is a 'static' helper function not operating on
|
|
* an RSA context. Alternative implementations need not
|
|
* overwrite it.
|
|
*
|
|
* \param N RSA modulus N = PQ, with P, Q to be found
|
|
* \param E RSA public exponent
|
|
* \param D RSA private exponent
|
|
* \param P Pointer to MPI holding first prime factor of N on success
|
|
* \param Q Pointer to MPI holding second prime factor of N on success
|
|
*
|
|
* \return
|
|
* - 0 if successful. In this case, P and Q constitute a
|
|
* factorization of N.
|
|
* - A non-zero error code otherwise.
|
|
*
|
|
* \note It is neither checked that P, Q are prime nor that
|
|
* D, E are modular inverses wrt. P-1 and Q-1. For that,
|
|
* use the helper function \c mbedtls_rsa_validate_params.
|
|
*
|
|
*/
|
|
int mbedtls_rsa_deduce_primes(mbedtls_mpi const *N, mbedtls_mpi const *E,
|
|
mbedtls_mpi const *D,
|
|
mbedtls_mpi *P, mbedtls_mpi *Q);
|
|
|
|
/**
|
|
* \brief Compute RSA private exponent from
|
|
* prime moduli and public key.
|
|
*
|
|
* \note This is a 'static' helper function not operating on
|
|
* an RSA context. Alternative implementations need not
|
|
* overwrite it.
|
|
*
|
|
* \param P First prime factor of RSA modulus
|
|
* \param Q Second prime factor of RSA modulus
|
|
* \param E RSA public exponent
|
|
* \param D Pointer to MPI holding the private exponent on success.
|
|
*
|
|
* \return
|
|
* - 0 if successful. In this case, D is set to a simultaneous
|
|
* modular inverse of E modulo both P-1 and Q-1.
|
|
* - A non-zero error code otherwise.
|
|
*
|
|
* \note This function does not check whether P and Q are primes.
|
|
*
|
|
*/
|
|
int mbedtls_rsa_deduce_private_exponent(mbedtls_mpi const *P,
|
|
mbedtls_mpi const *Q,
|
|
mbedtls_mpi const *E,
|
|
mbedtls_mpi *D);
|
|
|
|
|
|
/**
|
|
* \brief Generate RSA-CRT parameters
|
|
*
|
|
* \note This is a 'static' helper function not operating on
|
|
* an RSA context. Alternative implementations need not
|
|
* overwrite it.
|
|
*
|
|
* \param P First prime factor of N
|
|
* \param Q Second prime factor of N
|
|
* \param D RSA private exponent
|
|
* \param DP Output variable for D modulo P-1
|
|
* \param DQ Output variable for D modulo Q-1
|
|
* \param QP Output variable for the modular inverse of Q modulo P.
|
|
*
|
|
* \return 0 on success, non-zero error code otherwise.
|
|
*
|
|
* \note This function does not check whether P, Q are
|
|
* prime and whether D is a valid private exponent.
|
|
*
|
|
*/
|
|
int mbedtls_rsa_deduce_crt(const mbedtls_mpi *P, const mbedtls_mpi *Q,
|
|
const mbedtls_mpi *D, mbedtls_mpi *DP,
|
|
mbedtls_mpi *DQ, mbedtls_mpi *QP);
|
|
|
|
|
|
/**
|
|
* \brief Check validity of core RSA parameters
|
|
*
|
|
* \note This is a 'static' helper function not operating on
|
|
* an RSA context. Alternative implementations need not
|
|
* overwrite it.
|
|
*
|
|
* \param N RSA modulus N = PQ
|
|
* \param P First prime factor of N
|
|
* \param Q Second prime factor of N
|
|
* \param D RSA private exponent
|
|
* \param E RSA public exponent
|
|
* \param f_rng PRNG to be used for primality check, or NULL
|
|
* \param p_rng PRNG context for f_rng, or NULL
|
|
*
|
|
* \return
|
|
* - 0 if the following conditions are satisfied
|
|
* if all relevant parameters are provided:
|
|
* - P prime if f_rng != NULL (%)
|
|
* - Q prime if f_rng != NULL (%)
|
|
* - 1 < N = P * Q
|
|
* - 1 < D, E < N
|
|
* - D and E are modular inverses modulo P-1 and Q-1
|
|
* (%) This is only done if MBEDTLS_GENPRIME is defined.
|
|
* - A non-zero error code otherwise.
|
|
*
|
|
* \note The function can be used with a restricted set of arguments
|
|
* to perform specific checks only. E.g., calling it with
|
|
* (-,P,-,-,-) and a PRNG amounts to a primality check for P.
|
|
*/
|
|
int mbedtls_rsa_validate_params(const mbedtls_mpi *N, const mbedtls_mpi *P,
|
|
const mbedtls_mpi *Q, const mbedtls_mpi *D,
|
|
const mbedtls_mpi *E,
|
|
int (*f_rng)(void *, unsigned char *, size_t),
|
|
void *p_rng);
|
|
|
|
/**
|
|
* \brief Check validity of RSA CRT parameters
|
|
*
|
|
* \note This is a 'static' helper function not operating on
|
|
* an RSA context. Alternative implementations need not
|
|
* overwrite it.
|
|
*
|
|
* \param P First prime factor of RSA modulus
|
|
* \param Q Second prime factor of RSA modulus
|
|
* \param D RSA private exponent
|
|
* \param DP MPI to check for D modulo P-1
|
|
* \param DQ MPI to check for D modulo P-1
|
|
* \param QP MPI to check for the modular inverse of Q modulo P.
|
|
*
|
|
* \return
|
|
* - 0 if the following conditions are satisfied:
|
|
* - D = DP mod P-1 if P, D, DP != NULL
|
|
* - Q = DQ mod P-1 if P, D, DQ != NULL
|
|
* - QP = Q^-1 mod P if P, Q, QP != NULL
|
|
* - \c MBEDTLS_ERR_RSA_KEY_CHECK_FAILED if check failed,
|
|
* potentially including \c MBEDTLS_ERR_MPI_XXX if some
|
|
* MPI calculations failed.
|
|
* - \c MBEDTLS_ERR_RSA_BAD_INPUT_DATA if insufficient
|
|
* data was provided to check DP, DQ or QP.
|
|
*
|
|
* \note The function can be used with a restricted set of arguments
|
|
* to perform specific checks only. E.g., calling it with the
|
|
* parameters (P, -, D, DP, -, -) will check DP = D mod P-1.
|
|
*/
|
|
int mbedtls_rsa_validate_crt(const mbedtls_mpi *P, const mbedtls_mpi *Q,
|
|
const mbedtls_mpi *D, const mbedtls_mpi *DP,
|
|
const mbedtls_mpi *DQ, const mbedtls_mpi *QP);
|
|
|
|
#ifdef __cplusplus
|
|
}
|
|
#endif
|
|
|
|
#endif /* rsa_internal.h */
|