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Merge remote-tracking branch 'upstream-public/pr/1060' into development

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This commit is contained in:
Jaeden Amero 2018-01-09 12:20:54 +00:00
commit 0bc9e30435
28 changed files with 3203 additions and 583 deletions
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17
ChangeLog
View File

@ -38,6 +38,19 @@ Features
New deprecations
* Deprecate usage of RSA primitives with non-matching key-type
(e.g., signing with a public key).
* Direct manipulation of structure fields of RSA contexts is deprecated.
Users are advised to use the extended RSA API instead.
API Changes
* Extend RSA interface by multiple functions allowing structure-
independent setup and export of RSA contexts. Most notably,
mbedtls_rsa_import and mbedtls_rsa_complete are introduced for setting
up RSA contexts from partial key material and having them completed to the
needs of the implementation automatically. This allows to setup private RSA
contexts from keys consisting of N,D,E only, even if P,Q are needed for the
purpose or CRT and/or blinding.
* The configuration option MBEDTLS_RSA_ALT can be used to define alternative
implementations of the RSA interface declared in rsa.h.
Bugfix
* Fix ssl_parse_record_header() to silently discard invalid DTLS records
@ -89,6 +102,10 @@ Changes
* Extend cert_write example program by options to set the CRT version
and the message digest. Further, allow enabling/disabling of authority
identifier, subject identifier and basic constraints extensions.
* Only check for necessary RSA structure fields in `mbedtls_rsa_private`. In
particular, don't require P,Q if neither CRT nor blinding are
used. Reported and fix proposed independently by satur9nine and sliai
on GitHub.
* Only run AES-192 self-test if AES-192 is available. Fixes #963.
= mbed TLS 2.6.0 branch released 2017-08-10

2
include/mbedtls/bignum.h
View File

@ -70,7 +70,7 @@
* Maximum size of MPIs allowed in bits and bytes for user-MPIs.
* ( Default: 512 bytes => 4096 bits, Maximum tested: 2048 bytes => 16384 bits )
*
* Note: Calculations can results temporarily in larger MPIs. So the number
* Note: Calculations can temporarily result in larger MPIs. So the number
* of limbs required (MBEDTLS_MPI_MAX_LIMBS) is higher.
*/
#define MBEDTLS_MPI_MAX_SIZE 1024 /**< Maximum number of bytes for usable MPIs. */

5
include/mbedtls/config.h
View File

@ -270,14 +270,15 @@
//#define MBEDTLS_CMAC_ALT
//#define MBEDTLS_DES_ALT
//#define MBEDTLS_GCM_ALT
//#define MBEDTLS_XTEA_ALT
//#define MBEDTLS_MD2_ALT
//#define MBEDTLS_MD4_ALT
//#define MBEDTLS_MD5_ALT
//#define MBEDTLS_RIPEMD160_ALT
//#define MBEDTLS_RSA_ALT
//#define MBEDTLS_SHA1_ALT
//#define MBEDTLS_SHA256_ALT
//#define MBEDTLS_SHA512_ALT
//#define MBEDTLS_XTEA_ALT
/*
* When replacing the elliptic curve module, pleace consider, that it is
* implemented with two .c files:
@ -1664,6 +1665,7 @@
* library/ecp.c
* library/ecdsa.c
* library/rsa.c
* library/rsa_internal.c
* library/ssl_tls.c
*
* This module is required for RSA, DHM and ECC (ECDH, ECDSA) support.
@ -2277,6 +2279,7 @@
* Enable the RSA public-key cryptosystem.
*
* Module: library/rsa.c
* library/rsa_internal.c
* Caller: library/ssl_cli.c
* library/ssl_srv.c
* library/ssl_tls.c

497
include/mbedtls/rsa.h
View File

@ -68,7 +68,10 @@
* The above constants may be used even if the RSA module is compile out,
* eg for alternative (PKCS#11) RSA implemenations in the PK layers.
*/
#if defined(MBEDTLS_RSA_C)
#if !defined(MBEDTLS_RSA_ALT)
// Regular implementation
//
#ifdef __cplusplus
extern "C" {
@ -76,6 +79,12 @@ extern "C" {
/**
* \brief RSA context structure
*
* \note Direct manipulation of the members of this structure
* is deprecated and will no longer be supported starting
* from the next major release. All manipulation should instead
* be done through the public interface functions.
*
*/
typedef struct
{
@ -88,19 +97,21 @@ typedef struct
mbedtls_mpi D; /*!< private exponent */
mbedtls_mpi P; /*!< 1st prime factor */
mbedtls_mpi Q; /*!< 2nd prime factor */
mbedtls_mpi DP; /*!< D % (P - 1) */
mbedtls_mpi DQ; /*!< D % (Q - 1) */
mbedtls_mpi QP; /*!< 1 / (Q % P) */
mbedtls_mpi RN; /*!< cached R^2 mod N */
mbedtls_mpi RP; /*!< cached R^2 mod P */
mbedtls_mpi RQ; /*!< cached R^2 mod Q */
mbedtls_mpi Vi; /*!< cached blinding value */
mbedtls_mpi Vf; /*!< cached un-blinding value */
int padding; /*!< MBEDTLS_RSA_PKCS_V15 for 1.5 padding and
MBEDTLS_RSA_PKCS_v21 for OAEP/PSS */
int padding; /*!< \c MBEDTLS_RSA_PKCS_V15 for 1.5 padding and
\c MBEDTLS_RSA_PKCS_v21 for OAEP/PSS */
int hash_id; /*!< Hash identifier of mbedtls_md_type_t as
specified in the mbedtls_md.h header file
for the EME-OAEP and EMSA-PSS
@ -114,15 +125,15 @@ mbedtls_rsa_context;
/**
* \brief Initialize an RSA context
*
* Note: Set padding to MBEDTLS_RSA_PKCS_V21 for the RSAES-OAEP
* Note: Set padding to \c MBEDTLS_RSA_PKCS_V21 for the RSAES-OAEP
* encryption scheme and the RSASSA-PSS signature scheme.
*
* \param ctx RSA context to be initialized
* \param padding MBEDTLS_RSA_PKCS_V15 or MBEDTLS_RSA_PKCS_V21
* \param hash_id MBEDTLS_RSA_PKCS_V21 hash identifier
* \param padding \c MBEDTLS_RSA_PKCS_V15 or \c MBEDTLS_RSA_PKCS_V21
* \param hash_id \c MBEDTLS_RSA_PKCS_V21 hash identifier
*
* \note The hash_id parameter is actually ignored
* when using MBEDTLS_RSA_PKCS_V15 padding.
* when using \c MBEDTLS_RSA_PKCS_V15 padding.
*
* \note Choice of padding mode is strictly enforced for private key
* operations, since there might be security concerns in
@ -133,21 +144,241 @@ mbedtls_rsa_context;
* \note The chosen hash is always used for OEAP encryption.
* For PSS signatures, it's always used for making signatures,
* but can be overriden (and always is, if set to
* MBEDTLS_MD_NONE) for verifying them.
* \c MBEDTLS_MD_NONE) for verifying them.
*/
void mbedtls_rsa_init( mbedtls_rsa_context *ctx,
int padding,
int hash_id);
/**
* \brief Import a set of core parameters into an RSA context
*
* \param ctx Initialized RSA context to store parameters
* \param N RSA modulus, or NULL
* \param P First prime factor of N, or NULL
* \param Q Second prime factor of N, or NULL
* \param D Private exponent, or NULL
* \param E Public exponent, or NULL
*
* \note This function can be called multiple times for successive
* imports if the parameters are not simultaneously present.
* Any sequence of calls to this function should be followed
* by a call to \c mbedtls_rsa_complete which will check
* and complete the provided information to a ready-for-use
* public or private RSA key.
*
* \note See the documentation of \c mbedtls_rsa_complete for more
* information on which parameters are necessary to setup
* a private or public RSA key.
*
* \note The imported parameters are copied and need not be preserved
* for the lifetime of the RSA context being set up.
*
* \return 0 if successful, non-zero error code on failure.
*/
int mbedtls_rsa_import( mbedtls_rsa_context *ctx,
const mbedtls_mpi *N,
const mbedtls_mpi *P, const mbedtls_mpi *Q,
const mbedtls_mpi *D, const mbedtls_mpi *E );
/**
* \brief Import core RSA parameters in raw big-endian
* binary format into an RSA context
*
* \param ctx Initialized RSA context to store parameters
* \param N RSA modulus, or NULL
* \param N_len Byte length of N, ignored if N == NULL
* \param P First prime factor of N, or NULL
* \param P_len Byte length of P, ignored if P == NULL
* \param Q Second prime factor of N, or NULL
* \param Q_len Byte length of Q, ignored if Q == NULL
* \param D Private exponent, or NULL
* \param D_len Byte length of D, ignored if D == NULL
* \param E Public exponent, or NULL
* \param E_len Byte length of E, ignored if E == NULL
*
* \note This function can be called multiple times for successive
* imports if the parameters are not simultaneously present.
* Any sequence of calls to this function should be followed
* by a call to \c mbedtls_rsa_complete which will check
* and complete the provided information to a ready-for-use
* public or private RSA key.
*
* \note See the documentation of \c mbedtls_rsa_complete for more
* information on which parameters are necessary to setup
* a private or public RSA key.
*
* \note The imported parameters are copied and need not be preserved
* for the lifetime of the RSA context being set up.
*
* \return 0 if successful, non-zero error code on failure.
*/
int mbedtls_rsa_import_raw( mbedtls_rsa_context *ctx,
unsigned char const *N, size_t N_len,
unsigned char const *P, size_t P_len,
unsigned char const *Q, size_t Q_len,
unsigned char const *D, size_t D_len,
unsigned char const *E, size_t E_len );
/**
* \brief Attempt to complete an RSA context from
* a set of imported core parameters.
*
* \param ctx Initialized RSA context to store parameters
*
* \note
* - To setup an RSA public key, precisely N and E
* must have been imported.
*
* - To setup an RSA private key, enough information must be
* present for the other parameters to be derivable.
*
* The default implementation supports the following:
* - Derive P, Q from N, D, E
* - Derive N, D from P, Q, E.
*
* - Alternative implementations need not support these
* and may return \c MBEDTLS_ERR_RSA_BAD_INPUT_DATA instead.
*
* \return
* - 0 if successful. In this case, it is guaranteed
* that the RSA context can be used for RSA operations
* without the risk of failure or crash.
* - \c MBEDTLS_ERR_RSA_BAD_INPUT_DATA if the attempted
* derivations failed.
*
* \warning This function need not perform consistency checks
* for the imported parameters! In particular, parameters that
* are not needed by the implementation may be silently discarded
* and left unchecked. For the purpose of checking the consistency
* of the key material, see \c mbedtls_rsa_check_privkey.
*
*/
int mbedtls_rsa_complete( mbedtls_rsa_context *ctx );
/**
* \brief Export core parameters of an RSA key
*
* \param ctx Initialized RSA context
* \param N MPI to hold the RSA modulus, or NULL
* \param P MPI to hold the first prime factor of N, or NULL
* \param Q MPI to hold the second prime factor of N, or NULL
* \param D MPI to hold the private exponent, or NULL
* \param E MPI to hold the public exponent, or NULL
*
* \return
* - 0 if successful. In this case, the non-NULL buffers
* pointed to by N, P, Q, D, E are fully written, with
* additional unused space filled leading by 0-bytes.
* - Non-zero return code otherwise. In particular, if
* exporting the requested parameters
* cannot be done because of a lack of functionality
* or because of security policies, the error code
* \c MBEDTLS_ERR_RSA_UNSUPPORTED_OPERATION is returned.
* In this case, the RSA context stays intact and can
* be continued to be used.
*
* \note Reasons for returning \c MBEDTLS_ERR_RSA_UNSUPPORTED_OPERATION
* would be the following: Firstly, it might be that an
* alternative RSA implementation is in use which stores
* the key externally, and which either cannot or should not
* export it into RAM. Alternatively, an implementation
* (regardless of SW or HW) might not support deducing e.g.
* P, Q from N, D, E if the former are not part of the
* implementation.
*
*/
int mbedtls_rsa_export( const mbedtls_rsa_context *ctx,
mbedtls_mpi *N, mbedtls_mpi *P, mbedtls_mpi *Q,
mbedtls_mpi *D, mbedtls_mpi *E );
/**
* \brief Export core parameters of an RSA key
* in raw big-endian binary format
*
* \param ctx Initialized RSA context
* \param N Byte array to store the RSA modulus, or NULL
* \param N_len Size of buffer for modulus
* \param P Byte array to hold the first prime factor of N, or NULL
* \param P_len Size of buffer for first prime factor
* \param Q Byte array to hold the second prime factor of N, or NULL
* \param Q_len Size of buffer for second prime factor
* \param D Byte array to hold the private exponent, or NULL
* \param D_len Size of buffer for private exponent
* \param E Byte array to hold the public exponent, or NULL
* \param E_len Size of buffer for public exponent
*
* \note The length fields are ignored if the corresponding
* buffer pointers are NULL.
*
* \return
* - 0 if successful. In this case, the non-NULL buffers
* pointed to by N, P, Q, D, E are fully written, with
* additional unused space filled leading by 0-bytes.
* - Non-zero return code otherwise. In particular, if
* exporting the requested parameters
* cannot be done because of a lack of functionality
* or because of security policies, the error code
* \c MBEDTLS_ERR_RSA_UNSUPPORTED_OPERATION is returned.
* In this case, the RSA context stays intact and can
* be continued to be used.
*
* \note Reasons for returning \c MBEDTLS_ERR_RSA_UNSUPPORTED_OPERATION
* would be the following: Firstly, it might be that an
* alternative RSA implementation is in use which stores
* the key externally, and which either cannot or should not
* export it into RAM. Alternatively, an implementation
* (regardless of SW or HW) might not support deducing e.g.
* P, Q from N, D, E if the former are not part of the
* implementation.
*
*
*/
int mbedtls_rsa_export_raw( const mbedtls_rsa_context *ctx,
unsigned char *N, size_t N_len,
unsigned char *P, size_t P_len,
unsigned char *Q, size_t Q_len,
unsigned char *D, size_t D_len,
unsigned char *E, size_t E_len );
/**
* \brief Export CRT parameters of a private RSA key
*
* \param ctx Initialized RSA context
* \param DP MPI to hold D modulo P-1, or NULL
* \param DQ MPI to hold D modulo Q-1, or NULL
* \param QP MPI to hold modular inverse of Q modulo P, or NULL
*
* \return 0 if successful, non-zero error code otherwise.
*
* \note Alternative RSA implementations not using CRT-parameters
* internally can implement this function using based on
* \c mbedtls_rsa_deduce_opt.
*
*/
int mbedtls_rsa_export_crt( const mbedtls_rsa_context *ctx,
mbedtls_mpi *DP, mbedtls_mpi *DQ, mbedtls_mpi *QP );
/**
* \brief Set padding for an already initialized RSA context
* See \c mbedtls_rsa_init() for details.
*
* \param ctx RSA context to be set
* \param padding MBEDTLS_RSA_PKCS_V15 or MBEDTLS_RSA_PKCS_V21
* \param hash_id MBEDTLS_RSA_PKCS_V21 hash identifier
* \param padding \c MBEDTLS_RSA_PKCS_V15 or \c MBEDTLS_RSA_PKCS_V21
* \param hash_id \c MBEDTLS_RSA_PKCS_V21 hash identifier
*/
void mbedtls_rsa_set_padding( mbedtls_rsa_context *ctx, int padding, int hash_id);
void mbedtls_rsa_set_padding( mbedtls_rsa_context *ctx, int padding,
int hash_id);
/**
* \brief Get length of RSA modulus in bytes
*
* \param ctx Initialized RSA context
*
* \return Length of RSA modulus, in bytes.
*
*/
size_t mbedtls_rsa_get_len( const mbedtls_rsa_context *ctx );
/**
* \brief Generate an RSA keypair
@ -161,7 +392,7 @@ void mbedtls_rsa_set_padding( mbedtls_rsa_context *ctx, int padding, int hash_id
* \note mbedtls_rsa_init() must be called beforehand to setup
* the RSA context.
*
* \return 0 if successful, or an MBEDTLS_ERR_RSA_XXX error code
* \return 0 if successful, or an \c MBEDTLS_ERR_RSA_XXX error code
*/
int mbedtls_rsa_gen_key( mbedtls_rsa_context *ctx,
int (*f_rng)(void *, unsigned char *, size_t),
@ -169,20 +400,53 @@ int mbedtls_rsa_gen_key( mbedtls_rsa_context *ctx,
unsigned int nbits, int exponent );
/**
* \brief Check a public RSA key
* \brief Check if a context contains (at least) an RSA public key
*
* \param ctx RSA context to be checked
*
* \return 0 if successful, or an MBEDTLS_ERR_RSA_XXX error code
* \return 0 if successful, or an \c MBEDTLS_ERR_RSA_XXX error code.
* On success, it is guaranteed that enough information is
* present to perform an RSA public key operation
* \c mbedtls_rsa_public.
*
*/
int mbedtls_rsa_check_pubkey( const mbedtls_rsa_context *ctx );
/**
* \brief Check a private RSA key
* \brief Check if a context contains an RSA private key
* and perform basic consistency checks.
*
* \param ctx RSA context to be checked
*
* \return 0 if successful, or an MBEDTLS_ERR_RSA_XXX error code
* \return 0 if successful, or an \c MBEDTLS_ERR_RSA_XXX error code.
*
* \note The consistency checks performed by this function not only
* ensure that \c mbedtls_rsa_private can be called successfully
* on the given context, but that the various parameters are
* mutually consistent with high probability, in the sense that
* \c mbedtls_rsa_public and \c mbedtls_rsa_private are inverses.
*
* \warning This function should catch accidental misconfigurations
* like swapping of parameters, but it cannot establish full
* trust in neither the quality nor the consistency of the key
* material that was used to setup the given RSA context:
* - Regarding consistency, note (see \c mbedtls_rsa_complete)
* that imported parameters irrelevant for the implementation
* might be silently dropped, in which case the present
* function doesn't have access to and hence cannot check them.
* If you want to check the consistency of the entire
* content of, say, an PKCS1-encoded RSA private key, you
* should use \c mbedtls_rsa_validate_params before setting
* up the RSA context.
* Further, if the implementation performs empirical checks,
* these checks will substantiate but not guarantee consistency.
* - Regarding quality, this function is not expected to perform
* extended quality assessments like checking that the prime
* factors are safe. Further, it is the user's responsibility to
* ensure trustworthiness of the source of his RSA parameters,
* a question going beyond what's effectively checkable
* by the library.
*
*/
int mbedtls_rsa_check_privkey( const mbedtls_rsa_context *ctx );
@ -193,9 +457,10 @@ int mbedtls_rsa_check_privkey( const mbedtls_rsa_context *ctx );
* \param pub RSA context holding the public key
* \param prv RSA context holding the private key
*
* \return 0 if successful, or an MBEDTLS_ERR_RSA_XXX error code
* \return 0 if successful, or an \c MBEDTLS_ERR_RSA_XXX error code
*/
int mbedtls_rsa_check_pub_priv( const mbedtls_rsa_context *pub, const mbedtls_rsa_context *prv );
int mbedtls_rsa_check_pub_priv( const mbedtls_rsa_context *pub,
const mbedtls_rsa_context *prv );
/**
* \brief Do an RSA public key operation
@ -204,7 +469,7 @@ int mbedtls_rsa_check_pub_priv( const mbedtls_rsa_context *pub, const mbedtls_rs
* \param input input buffer
* \param output output buffer
*
* \return 0 if successful, or an MBEDTLS_ERR_RSA_XXX error code
* \return 0 if successful, or an \c MBEDTLS_ERR_RSA_XXX error code
*
* \note This function does NOT take care of message
* padding. Also, be sure to set input[0] = 0 or ensure that
@ -226,7 +491,7 @@ int mbedtls_rsa_public( mbedtls_rsa_context *ctx,
* \param input input buffer
* \param output output buffer
*
* \return 0 if successful, or an MBEDTLS_ERR_RSA_XXX error code
* \return 0 if successful, or an \c MBEDTLS_ERR_RSA_XXX error code
*
* \note The input and output buffers must be large
* enough (eg. 128 bytes if RSA-1024 is used).
@ -244,9 +509,9 @@ int mbedtls_rsa_private( mbedtls_rsa_context *ctx,
*
* \param ctx RSA context
* \param f_rng RNG function (Needed for padding and PKCS#1 v2.1 encoding
* and MBEDTLS_RSA_PRIVATE)
* and \c MBEDTLS_RSA_PRIVATE)
* \param p_rng RNG parameter
* \param mode MBEDTLS_RSA_PUBLIC or MBEDTLS_RSA_PRIVATE
* \param mode \c MBEDTLS_RSA_PUBLIC or \c MBEDTLS_RSA_PRIVATE
* \param ilen contains the plaintext length
* \param input buffer holding the data to be encrypted
* \param output buffer that will hold the ciphertext
@ -260,7 +525,7 @@ int mbedtls_rsa_private( mbedtls_rsa_context *ctx,
* mode being set to MBEDTLS_RSA_PRIVATE and may instead
* return MBEDTLS_ERR_RSA_UNSUPPORTED_OPERATION.
*
* \return 0 if successful, or an MBEDTLS_ERR_RSA_XXX error code
* \return 0 if successful, or an \c MBEDTLS_ERR_RSA_XXX error code
*
* \note The output buffer must be as large as the size
* of ctx->N (eg. 128 bytes if RSA-1024 is used).
@ -276,9 +541,9 @@ int mbedtls_rsa_pkcs1_encrypt( mbedtls_rsa_context *ctx,
* \brief Perform a PKCS#1 v1.5 encryption (RSAES-PKCS1-v1_5-ENCRYPT)
*
* \param ctx RSA context
* \param f_rng RNG function (Needed for padding and MBEDTLS_RSA_PRIVATE)
* \param f_rng RNG function (Needed for padding and \c MBEDTLS_RSA_PRIVATE)
* \param p_rng RNG parameter
* \param mode MBEDTLS_RSA_PUBLIC or MBEDTLS_RSA_PRIVATE
* \param mode \c MBEDTLS_RSA_PUBLIC or \c MBEDTLS_RSA_PRIVATE
* \param ilen contains the plaintext length
* \param input buffer holding the data to be encrypted
* \param output buffer that will hold the ciphertext
@ -292,7 +557,7 @@ int mbedtls_rsa_pkcs1_encrypt( mbedtls_rsa_context *ctx,
* mode being set to MBEDTLS_RSA_PRIVATE and may instead
* return MBEDTLS_ERR_RSA_UNSUPPORTED_OPERATION.
*
* \return 0 if successful, or an MBEDTLS_ERR_RSA_XXX error code
* \return 0 if successful, or an \c MBEDTLS_ERR_RSA_XXX error code
*
* \note The output buffer must be as large as the size
* of ctx->N (eg. 128 bytes if RSA-1024 is used).
@ -309,9 +574,9 @@ int mbedtls_rsa_rsaes_pkcs1_v15_encrypt( mbedtls_rsa_context *ctx,
*
* \param ctx RSA context
* \param f_rng RNG function (Needed for padding and PKCS#1 v2.1 encoding
* and MBEDTLS_RSA_PRIVATE)
* and \c MBEDTLS_RSA_PRIVATE)
* \param p_rng RNG parameter
* \param mode MBEDTLS_RSA_PUBLIC or MBEDTLS_RSA_PRIVATE
* \param mode \c MBEDTLS_RSA_PUBLIC or \c MBEDTLS_RSA_PRIVATE
* \param label buffer holding the custom label to use
* \param label_len contains the label length
* \param ilen contains the plaintext length
@ -327,7 +592,7 @@ int mbedtls_rsa_rsaes_pkcs1_v15_encrypt( mbedtls_rsa_context *ctx,
* mode being set to MBEDTLS_RSA_PRIVATE and may instead
* return MBEDTLS_ERR_RSA_UNSUPPORTED_OPERATION.
*
* \return 0 if successful, or an MBEDTLS_ERR_RSA_XXX error code
* \return 0 if successful, or an \c MBEDTLS_ERR_RSA_XXX error code
*
* \note The output buffer must be as large as the size
* of ctx->N (eg. 128 bytes if RSA-1024 is used).
@ -347,9 +612,9 @@ int mbedtls_rsa_rsaes_oaep_encrypt( mbedtls_rsa_context *ctx,
* the message padding
*
* \param ctx RSA context
* \param f_rng RNG function (Only needed for MBEDTLS_RSA_PRIVATE)
* \param f_rng RNG function (Only needed for \c MBEDTLS_RSA_PRIVATE)
* \param p_rng RNG parameter
* \param mode MBEDTLS_RSA_PUBLIC or MBEDTLS_RSA_PRIVATE
* \param mode \c MBEDTLS_RSA_PUBLIC or \c MBEDTLS_RSA_PRIVATE
* \param olen will contain the plaintext length
* \param input buffer holding the encrypted data
* \param output buffer that will hold the plaintext
@ -364,17 +629,17 @@ int mbedtls_rsa_rsaes_oaep_encrypt( mbedtls_rsa_context *ctx,
* mode being set to MBEDTLS_RSA_PUBLIC and may instead
* return MBEDTLS_ERR_RSA_UNSUPPORTED_OPERATION.
*
* \return 0 if successful, or an MBEDTLS_ERR_RSA_XXX error code
* \return 0 if successful, or an \c MBEDTLS_ERR_RSA_XXX error code
*
* \note The output buffer length \c output_max_len should be
* as large as the size ctx->len of ctx->N (eg. 128 bytes
* as large as the size \c ctx->len of \c ctx->N (eg. 128 bytes
* if RSA-1024 is used) to be able to hold an arbitrary
* decrypted message. If it is not large enough to hold
* the decryption of the particular ciphertext provided,
* the function will return MBEDTLS_ERR_RSA_OUTPUT_TOO_LARGE.
* the function will return \c MBEDTLS_ERR_RSA_OUTPUT_TOO_LARGE.
*
* \note The input buffer must be as large as the size
* of ctx->N (eg. 128 bytes if RSA-1024 is used).
* of \c ctx->N (eg. 128 bytes if RSA-1024 is used).
*/
int mbedtls_rsa_pkcs1_decrypt( mbedtls_rsa_context *ctx,
int (*f_rng)(void *, unsigned char *, size_t),
@ -388,9 +653,9 @@ int mbedtls_rsa_pkcs1_decrypt( mbedtls_rsa_context *ctx,
* \brief Perform a PKCS#1 v1.5 decryption (RSAES-PKCS1-v1_5-DECRYPT)
*
* \param ctx RSA context
* \param f_rng RNG function (Only needed for MBEDTLS_RSA_PRIVATE)
* \param f_rng RNG function (Only needed for \c MBEDTLS_RSA_PRIVATE)
* \param p_rng RNG parameter
* \param mode MBEDTLS_RSA_PUBLIC or MBEDTLS_RSA_PRIVATE
* \param mode \c MBEDTLS_RSA_PUBLIC or \c MBEDTLS_RSA_PRIVATE
* \param olen will contain the plaintext length
* \param input buffer holding the encrypted data
* \param output buffer that will hold the plaintext
@ -405,17 +670,17 @@ int mbedtls_rsa_pkcs1_decrypt( mbedtls_rsa_context *ctx,
* mode being set to MBEDTLS_RSA_PUBLIC and may instead
* return MBEDTLS_ERR_RSA_UNSUPPORTED_OPERATION.
*
* \return 0 if successful, or an MBEDTLS_ERR_RSA_XXX error code
* \return 0 if successful, or an \c MBEDTLS_ERR_RSA_XXX error code
*
* \note The output buffer length \c output_max_len should be
* as large as the size ctx->len of ctx->N (eg. 128 bytes
* as large as the size \c ctx->len of \c ctx->N (eg. 128 bytes
* if RSA-1024 is used) to be able to hold an arbitrary
* decrypted message. If it is not large enough to hold
* the decryption of the particular ciphertext provided,
* the function will return MBEDTLS_ERR_RSA_OUTPUT_TOO_LARGE.
* the function will return \c MBEDTLS_ERR_RSA_OUTPUT_TOO_LARGE.
*
* \note The input buffer must be as large as the size
* of ctx->N (eg. 128 bytes if RSA-1024 is used).
* of \c ctx->N (eg. 128 bytes if RSA-1024 is used).
*/
int mbedtls_rsa_rsaes_pkcs1_v15_decrypt( mbedtls_rsa_context *ctx,
int (*f_rng)(void *, unsigned char *, size_t),
@ -429,9 +694,9 @@ int mbedtls_rsa_rsaes_pkcs1_v15_decrypt( mbedtls_rsa_context *ctx,
* \brief Perform a PKCS#1 v2.1 OAEP decryption (RSAES-OAEP-DECRYPT)
*
* \param ctx RSA context
* \param f_rng RNG function (Only needed for MBEDTLS_RSA_PRIVATE)
* \param f_rng RNG function (Only needed for \c MBEDTLS_RSA_PRIVATE)
* \param p_rng RNG parameter
* \param mode MBEDTLS_RSA_PUBLIC or MBEDTLS_RSA_PRIVATE
* \param mode \c MBEDTLS_RSA_PUBLIC or \c MBEDTLS_RSA_PRIVATE
* \param label buffer holding the custom label to use
* \param label_len contains the label length
* \param olen will contain the plaintext length
@ -448,17 +713,18 @@ int mbedtls_rsa_rsaes_pkcs1_v15_decrypt( mbedtls_rsa_context *ctx,
* mode being set to MBEDTLS_RSA_PUBLIC and may instead
* return MBEDTLS_ERR_RSA_UNSUPPORTED_OPERATION.
*
* \return 0 if successful, or an MBEDTLS_ERR_RSA_XXX error code
* \return 0 if successful, or an \c MBEDTLS_ERR_RSA_XXX error code
*
* \note The output buffer length \c output_max_len should be
* as large as the size ctx->len of ctx->N (eg. 128 bytes
* as large as the size \c ctx->len of \c ctx->N (eg. 128 bytes
* if RSA-1024 is used) to be able to hold an arbitrary
* decrypted message. If it is not large enough to hold
* the decryption of the particular ciphertext provided,
* the function will return MBEDTLS_ERR_RSA_OUTPUT_TOO_LARGE.
* the function will return \c MBEDTLS_ERR_RSA_OUTPUT_TOO_LARGE.
*
* \note The input buffer must be as large as the size
* of ctx->N (eg. 128 bytes if RSA-1024 is used).
* of \c ctx->N (eg. 128 bytes if RSA-1024 is used).
*
*/
int mbedtls_rsa_rsaes_oaep_decrypt( mbedtls_rsa_context *ctx,
int (*f_rng)(void *, unsigned char *, size_t),
@ -477,11 +743,12 @@ int mbedtls_rsa_rsaes_oaep_decrypt( mbedtls_rsa_context *ctx,
*
* \param ctx RSA context
* \param f_rng RNG function (Needed for PKCS#1 v2.1 encoding and for
* MBEDTLS_RSA_PRIVATE)
* \c MBEDTLS_RSA_PRIVATE)
* \param p_rng RNG parameter
* \param mode MBEDTLS_RSA_PUBLIC or MBEDTLS_RSA_PRIVATE
* \param md_alg a MBEDTLS_MD_XXX (use MBEDTLS_MD_NONE for signing raw data)
* \param hashlen message digest length (for MBEDTLS_MD_NONE only)
* \param mode \c MBEDTLS_RSA_PUBLIC or \c MBEDTLS_RSA_PRIVATE
* \param md_alg a \c MBEDTLS_MD_XXX (use \c MBEDTLS_MD_NONE for
* signing raw data)
* \param hashlen message digest length (for \c MBEDTLS_MD_NONE only)
* \param hash buffer holding the message digest
* \param sig buffer that will hold the ciphertext
*
@ -495,13 +762,14 @@ int mbedtls_rsa_rsaes_oaep_decrypt( mbedtls_rsa_context *ctx,
* return MBEDTLS_ERR_RSA_UNSUPPORTED_OPERATION.
*
* \return 0 if the signing operation was successful,
* or an MBEDTLS_ERR_RSA_XXX error code
* or an \c MBEDTLS_ERR_RSA_XXX error code
*
* \note The "sig" buffer must be as large as the size
* of ctx->N (eg. 128 bytes if RSA-1024 is used).
* \note The \c sig buffer must be as large as the size
* of \c ctx->N (eg. 128 bytes if RSA-1024 is used).
*
* \note In case of PKCS#1 v2.1 encoding, see comments on
* \note \c mbedtls_rsa_rsassa_pss_sign() for details on md_alg and hash_id.
* \c mbedtls_rsa_rsassa_pss_sign() for details on
* \c md_alg and \c hash_id.
*/
int mbedtls_rsa_pkcs1_sign( mbedtls_rsa_context *ctx,
int (*f_rng)(void *, unsigned char *, size_t),
@ -516,11 +784,12 @@ int mbedtls_rsa_pkcs1_sign( mbedtls_rsa_context *ctx,
* \brief Perform a PKCS#1 v1.5 signature (RSASSA-PKCS1-v1_5-SIGN)
*
* \param ctx RSA context
* \param f_rng RNG function (Only needed for MBEDTLS_RSA_PRIVATE)
* \param f_rng RNG function (Only needed for \c MBEDTLS_RSA_PRIVATE)
* \param p_rng RNG parameter
* \param mode MBEDTLS_RSA_PUBLIC or MBEDTLS_RSA_PRIVATE
* \param md_alg a MBEDTLS_MD_XXX (use MBEDTLS_MD_NONE for signing raw data)
* \param hashlen message digest length (for MBEDTLS_MD_NONE only)
* \param mode \c MBEDTLS_RSA_PUBLIC or \c MBEDTLS_RSA_PRIVATE
* \param md_alg a \c MBEDTLS_MD_XXX (use \c MBEDTLS_MD_NONE
* for signing raw data)
* \param hashlen message digest length (for \c MBEDTLS_MD_NONE only)
* \param hash buffer holding the message digest
* \param sig buffer that will hold the ciphertext
*
@ -534,10 +803,10 @@ int mbedtls_rsa_pkcs1_sign( mbedtls_rsa_context *ctx,
* return MBEDTLS_ERR_RSA_UNSUPPORTED_OPERATION.
*
* \return 0 if the signing operation was successful,
* or an MBEDTLS_ERR_RSA_XXX error code
* or an \c MBEDTLS_ERR_RSA_XXX error code
*
* \note The "sig" buffer must be as large as the size
* of ctx->N (eg. 128 bytes if RSA-1024 is used).
* \note The \c sig buffer must be as large as the size
* of \c ctx->N (eg. 128 bytes if RSA-1024 is used).
*/
int mbedtls_rsa_rsassa_pkcs1_v15_sign( mbedtls_rsa_context *ctx,
int (*f_rng)(void *, unsigned char *, size_t),
@ -553,11 +822,12 @@ int mbedtls_rsa_rsassa_pkcs1_v15_sign( mbedtls_rsa_context *ctx,
*
* \param ctx RSA context
* \param f_rng RNG function (Needed for PKCS#1 v2.1 encoding and for
* MBEDTLS_RSA_PRIVATE)
* \c MBEDTLS_RSA_PRIVATE)
* \param p_rng RNG parameter
* \param mode MBEDTLS_RSA_PUBLIC or MBEDTLS_RSA_PRIVATE
* \param md_alg a MBEDTLS_MD_XXX (use MBEDTLS_MD_NONE for signing raw data)
* \param hashlen message digest length (for MBEDTLS_MD_NONE only)
* \param mode \c MBEDTLS_RSA_PUBLIC or \c MBEDTLS_RSA_PRIVATE
* \param md_alg a \c MBEDTLS_MD_XXX (use \c MBEDTLS_MD_NONE
* for signing raw data)
* \param hashlen message digest length (for \c MBEDTLS_MD_NONE only)
* \param hash buffer holding the message digest
* \param sig buffer that will hold the ciphertext
*
@ -571,13 +841,13 @@ int mbedtls_rsa_rsassa_pkcs1_v15_sign( mbedtls_rsa_context *ctx,
* return MBEDTLS_ERR_RSA_UNSUPPORTED_OPERATION.
*
* \return 0 if the signing operation was successful,
* or an MBEDTLS_ERR_RSA_XXX error code
* or an \c MBEDTLS_ERR_RSA_XXX error code
*
* \note The "sig" buffer must be as large as the size
* of ctx->N (eg. 128 bytes if RSA-1024 is used).
* \note The \c sig buffer must be as large as the size
* of \c ctx->N (eg. 128 bytes if RSA-1024 is used).
*
* \note The hash_id in the RSA context is the one used for the
* encoding. md_alg in the function call is the type of hash
* \note The \c hash_id in the RSA context is the one used for the
* encoding. \c md_alg in the function call is the type of hash
* that is encoded. According to RFC 3447 it is advised to
* keep both hashes the same.
*/
@ -596,11 +866,11 @@ int mbedtls_rsa_rsassa_pss_sign( mbedtls_rsa_context *ctx,
* the message digest
*
* \param ctx points to an RSA public key
* \param f_rng RNG function (Only needed for MBEDTLS_RSA_PRIVATE)
* \param f_rng RNG function (Only needed for \c MBEDTLS_RSA_PRIVATE)
* \param p_rng RNG parameter
* \param mode MBEDTLS_RSA_PUBLIC or MBEDTLS_RSA_PRIVATE
* \param md_alg a MBEDTLS_MD_XXX (use MBEDTLS_MD_NONE for signing raw data)
* \param hashlen message digest length (for MBEDTLS_MD_NONE only)
* \param mode \c MBEDTLS_RSA_PUBLIC or \c MBEDTLS_RSA_PRIVATE
* \param md_alg a \c MBEDTLS_MD_XXX (use \c MBEDTLS_MD_NONE for signing raw data)
* \param hashlen message digest length (for \c MBEDTLS_MD_NONE only)
* \param hash buffer holding the message digest
* \param sig buffer holding the ciphertext
*
@ -614,10 +884,10 @@ int mbedtls_rsa_rsassa_pss_sign( mbedtls_rsa_context *ctx,
* return MBEDTLS_ERR_RSA_UNSUPPORTED_OPERATION.
*
* \return 0 if the verify operation was successful,
* or an MBEDTLS_ERR_RSA_XXX error code
* or an \c MBEDTLS_ERR_RSA_XXX error code
*
* \note The "sig" buffer must be as large as the size
* of ctx->N (eg. 128 bytes if RSA-1024 is used).
* \note The \c sig buffer must be as large as the size
* of \c ctx->N (eg. 128 bytes if RSA-1024 is used).
*
* \note In case of PKCS#1 v2.1 encoding, see comments on
* \c mbedtls_rsa_rsassa_pss_verify() about md_alg and hash_id.
@ -635,11 +905,12 @@ int mbedtls_rsa_pkcs1_verify( mbedtls_rsa_context *ctx,
* \brief Perform a PKCS#1 v1.5 verification (RSASSA-PKCS1-v1_5-VERIFY)
*
* \param ctx points to an RSA public key
* \param f_rng RNG function (Only needed for MBEDTLS_RSA_PRIVATE)
* \param f_rng RNG function (Only needed for \c MBEDTLS_RSA_PRIVATE)
* \param p_rng RNG parameter
* \param mode MBEDTLS_RSA_PUBLIC or MBEDTLS_RSA_PRIVATE
* \param md_alg a MBEDTLS_MD_XXX (use MBEDTLS_MD_NONE for signing raw data)
* \param hashlen message digest length (for MBEDTLS_MD_NONE only)
* \param mode \c MBEDTLS_RSA_PUBLIC or \c MBEDTLS_RSA_PRIVATE
* \param md_alg a \c MBEDTLS_MD_XXX (use \c MBEDTLS_MD_NONE
* for signing raw data)
* \param hashlen message digest length (for \c MBEDTLS_MD_NONE only)
* \param hash buffer holding the message digest
* \param sig buffer holding the ciphertext
*
@ -653,10 +924,10 @@ int mbedtls_rsa_pkcs1_verify( mbedtls_rsa_context *ctx,
* return MBEDTLS_ERR_RSA_UNSUPPORTED_OPERATION.
*
* \return 0 if the verify operation was successful,
* or an MBEDTLS_ERR_RSA_XXX error code
* or an \c MBEDTLS_ERR_RSA_XXX error code
*
* \note The "sig" buffer must be as large as the size
* of ctx->N (eg. 128 bytes if RSA-1024 is used).
* \note The \c sig buffer must be as large as the size
* of \c ctx->N (eg. 128 bytes if RSA-1024 is used).
*/
int mbedtls_rsa_rsassa_pkcs1_v15_verify( mbedtls_rsa_context *ctx,
int (*f_rng)(void *, unsigned char *, size_t),
@ -672,11 +943,11 @@ int mbedtls_rsa_rsassa_pkcs1_v15_verify( mbedtls_rsa_context *ctx,
* (This is the "simple" version.)
*
* \param ctx points to an RSA public key
* \param f_rng RNG function (Only needed for MBEDTLS_RSA_PRIVATE)
* \param f_rng RNG function (Only needed for \c MBEDTLS_RSA_PRIVATE)
* \param p_rng RNG parameter
* \param mode MBEDTLS_RSA_PUBLIC or MBEDTLS_RSA_PRIVATE
* \param md_alg a MBEDTLS_MD_XXX (use MBEDTLS_MD_NONE for signing raw data)
* \param hashlen message digest length (for MBEDTLS_MD_NONE only)
* \param mode \c MBEDTLS_RSA_PUBLIC or \c MBEDTLS_RSA_PRIVATE
* \param md_alg a \c MBEDTLS_MD_XXX (use \c MBEDTLS_MD_NONE for signing raw data)
* \param hashlen message digest length (for \c MBEDTLS_MD_NONE only)
* \param hash buffer holding the message digest
* \param sig buffer holding the ciphertext
*
@ -690,16 +961,16 @@ int mbedtls_rsa_rsassa_pkcs1_v15_verify( mbedtls_rsa_context *ctx,
* return MBEDTLS_ERR_RSA_UNSUPPORTED_OPERATION.
*
* \return 0 if the verify operation was successful,
* or an MBEDTLS_ERR_RSA_XXX error code
* or an \c MBEDTLS_ERR_RSA_XXX error code
*
* \note The "sig" buffer must be as large as the size
* of ctx->N (eg. 128 bytes if RSA-1024 is used).
* \note The \c sig buffer must be as large as the size
* of \c ctx->N (eg. 128 bytes if RSA-1024 is used).
*
* \note The hash_id in the RSA context is the one used for the
* verification. md_alg in the function call is the type of
* \note The \c hash_id in the RSA context is the one used for the
* verification. \c md_alg in the function call is the type of
* hash that is verified. According to RFC 3447 it is advised to
* keep both hashes the same. If hash_id in the RSA context is
* unset, the md_alg from the function call is used.
* keep both hashes the same. If \c hash_id in the RSA context is
* unset, the \c md_alg from the function call is used.
*/
int mbedtls_rsa_rsassa_pss_verify( mbedtls_rsa_context *ctx,
int (*f_rng)(void *, unsigned char *, size_t),
@ -715,24 +986,24 @@ int mbedtls_rsa_rsassa_pss_verify( mbedtls_rsa_context *ctx,
* (This is the version with "full" options.)
*
* \param ctx points to an RSA public key
* \param f_rng RNG function (Only needed for MBEDTLS_RSA_PRIVATE)
* \param f_rng RNG function (Only needed for \c MBEDTLS_RSA_PRIVATE)
* \param p_rng RNG parameter
* \param mode MBEDTLS_RSA_PUBLIC or MBEDTLS_RSA_PRIVATE
* \param md_alg a MBEDTLS_MD_XXX (use MBEDTLS_MD_NONE for signing raw data)
* \param hashlen message digest length (for MBEDTLS_MD_NONE only)
* \param mode \c MBEDTLS_RSA_PUBLIC or \c MBEDTLS_RSA_PRIVATE
* \param md_alg a \c MBEDTLS_MD_XXX (use \c MBEDTLS_MD_NONE for signing raw data)
* \param hashlen message digest length (for \c MBEDTLS_MD_NONE only)
* \param hash buffer holding the message digest
* \param mgf1_hash_id message digest used for mask generation
* \param expected_salt_len Length of the salt used in padding, use
* MBEDTLS_RSA_SALT_LEN_ANY to accept any salt length
* \c MBEDTLS_RSA_SALT_LEN_ANY to accept any salt length
* \param sig buffer holding the ciphertext
*
* \return 0 if the verify operation was successful,
* or an MBEDTLS_ERR_RSA_XXX error code
* or an \c MBEDTLS_ERR_RSA_XXX error code
*
* \note The "sig" buffer must be as large as the size
* of ctx->N (eg. 128 bytes if RSA-1024 is used).
* \note The \c sig buffer must be as large as the size
* of \c ctx->N (eg. 128 bytes if RSA-1024 is used).
*
* \note The hash_id in the RSA context is ignored.
* \note The \c hash_id in the RSA context is ignored.
*/
int mbedtls_rsa_rsassa_pss_verify_ext( mbedtls_rsa_context *ctx,
int (*f_rng)(void *, unsigned char *, size_t),
@ -752,7 +1023,7 @@ int mbedtls_rsa_rsassa_pss_verify_ext( mbedtls_rsa_context *ctx,
* \param src Source context
*
* \return 0 on success,
* MBEDTLS_ERR_MPI_ALLOC_FAILED on memory allocation failure
* \c MBEDTLS_ERR_MPI_ALLOC_FAILED on memory allocation failure
*/
int mbedtls_rsa_copy( mbedtls_rsa_context *dst, const mbedtls_rsa_context *src );
@ -763,6 +1034,18 @@ int mbedtls_rsa_copy( mbedtls_rsa_context *dst, const mbedtls_rsa_context *src )
*/
void mbedtls_rsa_free( mbedtls_rsa_context *ctx );
#ifdef __cplusplus
}
#endif
#else /* MBEDTLS_RSA_ALT */
#include "rsa_alt.h"
#endif /* MBEDTLS_RSA_ALT */
#ifdef __cplusplus
extern "C" {
#endif
/**
* \brief Checkup routine
*
@ -774,6 +1057,4 @@ int mbedtls_rsa_self_test( int verbose );
}
#endif
#endif /* MBEDTLS_RSA_C */
#endif /* rsa.h */

215
include/mbedtls/rsa_internal.h Normal file
View File

@ -0,0 +1,215 @@
/**
* \file rsa_internal.h
*
* \brief Context-independent RSA helper functions
*
* Copyright (C) 2006-2017, 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)
*
*
* This file declares some RSA-related helper functions useful when
* implementing the RSA interface. They are public and provided in a
* separate compilation unit in order to make it easy for designers of
* alternative RSA implementations to use them in their code, as it is
* conceived that the functionality they provide will be necessary
* for most complete implementations.
*
* End-users of Mbed TLS not intending to re-implement the RSA functionality
* are not expected to get into the need of making use of these functions directly,
* but instead should be able to use the functions declared in rsa.h.
*
* 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.
*
*/
#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 );
#endif /* rsa_internal.h */

1
library/CMakeLists.txt
View File

@ -48,6 +48,7 @@ set(src_crypto
platform.c
ripemd160.c
rsa.c
rsa_internal.c
sha1.c
sha256.c
sha512.c

6
library/Makefile
View File

@ -59,9 +59,9 @@ OBJS_CRYPTO= aes.o aesni.o arc4.o \
padlock.o pem.o pk.o \
pk_wrap.o pkcs12.o pkcs5.o \
pkparse.o pkwrite.o platform.o \
ripemd160.o rsa.o sha1.o \
sha256.o sha512.o threading.o \
timing.o version.o \
ripemd160.o rsa_internal.o rsa.o \
sha1.o sha256.o sha512.o \
threading.o timing.o version.o \
version_features.o xtea.o
OBJS_X509= certs.o pkcs11.o x509.o \

30
library/pk_wrap.c
View File

@ -68,7 +68,8 @@ static int rsa_can_do( mbedtls_pk_type_t type )
static size_t rsa_get_bitlen( const void *ctx )
{
return( 8 * ((const mbedtls_rsa_context *) ctx)->len );
const mbedtls_rsa_context * rsa = (const mbedtls_rsa_context *) ctx;
return( 8 * mbedtls_rsa_get_len( rsa ) );
}
static int rsa_verify_wrap( void *ctx, mbedtls_md_type_t md_alg,
@ -76,21 +77,23 @@ static int rsa_verify_wrap( void *ctx, mbedtls_md_type_t md_alg,
const unsigned char *sig, size_t sig_len )
{
int ret;
mbedtls_rsa_context * rsa = (mbedtls_rsa_context *) ctx;
size_t rsa_len = mbedtls_rsa_get_len( rsa );
#if SIZE_MAX > UINT_MAX
if( md_alg == MBEDTLS_MD_NONE && UINT_MAX < hash_len )
return( MBEDTLS_ERR_PK_BAD_INPUT_DATA );
#endif /* SIZE_MAX > UINT_MAX */
if( sig_len < ((mbedtls_rsa_context *) ctx)->len )
if( sig_len < rsa_len )
return( MBEDTLS_ERR_RSA_VERIFY_FAILED );
if( ( ret = mbedtls_rsa_pkcs1_verify( (mbedtls_rsa_context *) ctx, NULL, NULL,
if( ( ret = mbedtls_rsa_pkcs1_verify( rsa, NULL, NULL,
MBEDTLS_RSA_PUBLIC, md_alg,
(unsigned int) hash_len, hash, sig ) ) != 0 )
return( ret );
if( sig_len > ((mbedtls_rsa_context *) ctx)->len )
if( sig_len > rsa_len )
return( MBEDTLS_ERR_PK_SIG_LEN_MISMATCH );
return( 0 );
@ -101,14 +104,16 @@ static int rsa_sign_wrap( void *ctx, mbedtls_md_type_t md_alg,
unsigned char *sig, size_t *sig_len,
int (*f_rng)(void *, unsigned char *, size_t), void *p_rng )
{
mbedtls_rsa_context * rsa = (mbedtls_rsa_context *) ctx;
#if SIZE_MAX > UINT_MAX
if( md_alg == MBEDTLS_MD_NONE && UINT_MAX < hash_len )
return( MBEDTLS_ERR_PK_BAD_INPUT_DATA );
#endif /* SIZE_MAX > UINT_MAX */
*sig_len = ((mbedtls_rsa_context *) ctx)->len;
*sig_len = mbedtls_rsa_get_len( rsa );
return( mbedtls_rsa_pkcs1_sign( (mbedtls_rsa_context *) ctx, f_rng, p_rng, MBEDTLS_RSA_PRIVATE,
return( mbedtls_rsa_pkcs1_sign( rsa, f_rng, p_rng, MBEDTLS_RSA_PRIVATE,
md_alg, (unsigned int) hash_len, hash, sig ) );
}
@ -117,10 +122,12 @@ static int rsa_decrypt_wrap( void *ctx,
unsigned char *output, size_t *olen, size_t osize,
int (*f_rng)(void *, unsigned char *, size_t), void *p_rng )
{
if( ilen != ((mbedtls_rsa_context *) ctx)->len )
mbedtls_rsa_context * rsa = (mbedtls_rsa_context *) ctx;
if( ilen != mbedtls_rsa_get_len( rsa ) )
return( MBEDTLS_ERR_RSA_BAD_INPUT_DATA );
return( mbedtls_rsa_pkcs1_decrypt( (mbedtls_rsa_context *) ctx, f_rng, p_rng,
return( mbedtls_rsa_pkcs1_decrypt( rsa, f_rng, p_rng,
MBEDTLS_RSA_PRIVATE, olen, input, output, osize ) );
}
@ -129,13 +136,14 @@ static int rsa_encrypt_wrap( void *ctx,
unsigned char *output, size_t *olen, size_t osize,
int (*f_rng)(void *, unsigned char *, size_t), void *p_rng )
{
*olen = ((mbedtls_rsa_context *) ctx)->len;
mbedtls_rsa_context * rsa = (mbedtls_rsa_context *) ctx;
*olen = mbedtls_rsa_get_len( rsa );
if( *olen > osize )
return( MBEDTLS_ERR_RSA_OUTPUT_TOO_LARGE );
return( mbedtls_rsa_pkcs1_encrypt( (mbedtls_rsa_context *) ctx,
f_rng, p_rng, MBEDTLS_RSA_PUBLIC, ilen, input, output ) );
return( mbedtls_rsa_pkcs1_encrypt( rsa, f_rng, p_rng, MBEDTLS_RSA_PUBLIC,
ilen, input, output ) );
}
static int rsa_check_pair_wrap( const void *pub, const void *prv )

121
library/pkparse.c
View File

@ -523,19 +523,36 @@ static int pk_get_rsapubkey( unsigned char **p,
return( MBEDTLS_ERR_PK_INVALID_PUBKEY +
MBEDTLS_ERR_ASN1_LENGTH_MISMATCH );
if( ( ret = mbedtls_asn1_get_mpi( p, end, &rsa->N ) ) != 0 ||
( ret = mbedtls_asn1_get_mpi( p, end, &rsa->E ) ) != 0 )
/* Import N */
if( ( ret = mbedtls_asn1_get_tag( p, end, &len, MBEDTLS_ASN1_INTEGER ) ) != 0 )
return( MBEDTLS_ERR_PK_INVALID_PUBKEY + ret );
if( ( ret = mbedtls_rsa_import_raw( rsa, *p, len, NULL, 0, NULL, 0,
NULL, 0, NULL, 0 ) ) != 0 )
return( MBEDTLS_ERR_PK_INVALID_PUBKEY );
*p += len;
/* Import E */
if( ( ret = mbedtls_asn1_get_tag( p, end, &len, MBEDTLS_ASN1_INTEGER ) ) != 0 )
return( MBEDTLS_ERR_PK_INVALID_PUBKEY + ret );
if( ( ret = mbedtls_rsa_import_raw( rsa, NULL, 0, NULL, 0, NULL, 0,
NULL, 0, *p, len ) ) != 0 )
return( MBEDTLS_ERR_PK_INVALID_PUBKEY );
*p += len;
if( mbedtls_rsa_complete( rsa ) != 0 ||
mbedtls_rsa_check_pubkey( rsa ) != 0 )
{
return( MBEDTLS_ERR_PK_INVALID_PUBKEY );
}
if( *p != end )
return( MBEDTLS_ERR_PK_INVALID_PUBKEY +
MBEDTLS_ERR_ASN1_LENGTH_MISMATCH );
if( ( ret = mbedtls_rsa_check_pubkey( rsa ) ) != 0 )
return( MBEDTLS_ERR_PK_INVALID_PUBKEY );
rsa->len = mbedtls_mpi_size( &rsa->N );
return( 0 );
}
#endif /* MBEDTLS_RSA_C */
@ -646,10 +663,13 @@ static int pk_parse_key_pkcs1_der( mbedtls_rsa_context *rsa,
const unsigned char *key,
size_t keylen )
{
int ret;
int ret, version;
size_t len;
unsigned char *p, *end;
mbedtls_mpi T;
mbedtls_mpi_init( &T );
p = (unsigned char *) key;
end = p + keylen;
@ -677,45 +697,88 @@ static int pk_parse_key_pkcs1_der( mbedtls_rsa_context *rsa,
end = p + len;
if( ( ret = mbedtls_asn1_get_int( &p, end, &rsa->ver ) ) != 0 )
if( ( ret = mbedtls_asn1_get_int( &p, end, &version ) ) != 0 )
{
return( MBEDTLS_ERR_PK_KEY_INVALID_FORMAT + ret );
}
if( rsa->ver != 0 )
if( version != 0 )
{
return( MBEDTLS_ERR_PK_KEY_INVALID_VERSION );
}
if( ( ret = mbedtls_asn1_get_mpi( &p, end, &rsa->N ) ) != 0 ||
( ret = mbedtls_asn1_get_mpi( &p, end, &rsa->E ) ) != 0 ||
( ret = mbedtls_asn1_get_mpi( &p, end, &rsa->D ) ) != 0 ||
( ret = mbedtls_asn1_get_mpi( &p, end, &rsa->P ) ) != 0 ||
( ret = mbedtls_asn1_get_mpi( &p, end, &rsa->Q ) ) != 0 ||
( ret = mbedtls_asn1_get_mpi( &p, end, &rsa->DP ) ) != 0 ||
( ret = mbedtls_asn1_get_mpi( &p, end, &rsa->DQ ) ) != 0 ||
( ret = mbedtls_asn1_get_mpi( &p, end, &rsa->QP ) ) != 0 )
{
mbedtls_rsa_free( rsa );
return( MBEDTLS_ERR_PK_KEY_INVALID_FORMAT + ret );
}
/* Import N */
if( ( ret = mbedtls_asn1_get_tag( &p, end, &len,
MBEDTLS_ASN1_INTEGER ) ) != 0 ||
( ret = mbedtls_rsa_import_raw( rsa, p, len, NULL, 0, NULL, 0,
NULL, 0, NULL, 0 ) ) != 0 )
goto cleanup;
p += len;
rsa->len = mbedtls_mpi_size( &rsa->N );
/* Import E */
if( ( ret = mbedtls_asn1_get_tag( &p, end, &len,
MBEDTLS_ASN1_INTEGER ) ) != 0 ||
( ret = mbedtls_rsa_import_raw( rsa, NULL, 0, NULL, 0, NULL, 0,
NULL, 0, p, len ) ) != 0 )
goto cleanup;
p += len;
/* Import D */
if( ( ret = mbedtls_asn1_get_tag( &p, end, &len,
MBEDTLS_ASN1_INTEGER ) ) != 0 ||
( ret = mbedtls_rsa_import_raw( rsa, NULL, 0, NULL, 0, NULL, 0,
p, len, NULL, 0 ) ) != 0 )
goto cleanup;
p += len;
/* Import P */
if( ( ret = mbedtls_asn1_get_tag( &p, end, &len,
MBEDTLS_ASN1_INTEGER ) ) != 0 ||
( ret = mbedtls_rsa_import_raw( rsa, NULL, 0, p, len, NULL, 0,
NULL, 0, NULL, 0 ) ) != 0 )
goto cleanup;
p += len;
/* Import Q */
if( ( ret = mbedtls_asn1_get_tag( &p, end, &len,
MBEDTLS_ASN1_INTEGER ) ) != 0 ||
( ret = mbedtls_rsa_import_raw( rsa, NULL, 0, NULL, 0, p, len,
NULL, 0, NULL, 0 ) ) != 0 )
goto cleanup;
p += len;
/* Complete the RSA private key */
if( ( ret = mbedtls_rsa_complete( rsa ) ) != 0 )
goto cleanup;
/* Check optional parameters */
if( ( ret = mbedtls_asn1_get_mpi( &p, end, &T ) ) != 0 ||
( ret = mbedtls_asn1_get_mpi( &p, end, &T ) ) != 0 ||
( ret = mbedtls_asn1_get_mpi( &p, end, &T ) ) != 0 )
goto cleanup;
if( p != end )
{
mbedtls_rsa_free( rsa );
return( MBEDTLS_ERR_PK_KEY_INVALID_FORMAT +
MBEDTLS_ERR_ASN1_LENGTH_MISMATCH );
ret = MBEDTLS_ERR_PK_KEY_INVALID_FORMAT +
MBEDTLS_ERR_ASN1_LENGTH_MISMATCH ;
}
if( ( ret = mbedtls_rsa_check_privkey( rsa ) ) != 0 )
cleanup:
mbedtls_mpi_free( &T );
if( ret != 0 )
{
/* Wrap error code if it's coming from a lower level */
if( ( ret & 0xff80 ) == 0 )
ret = MBEDTLS_ERR_PK_KEY_INVALID_FORMAT + ret;
else
ret = MBEDTLS_ERR_PK_KEY_INVALID_FORMAT;
mbedtls_rsa_free( rsa );
return( ret );
}
return( 0 );
return( ret );
}
#endif /* MBEDTLS_RSA_C */

100
library/pkwrite.c
View File

@ -66,9 +66,27 @@ static int pk_write_rsa_pubkey( unsigned char **p, unsigned char *start,
{
int ret;
size_t len = 0;
mbedtls_mpi T;
MBEDTLS_ASN1_CHK_ADD( len, mbedtls_asn1_write_mpi( p, start, &rsa->E ) );
MBEDTLS_ASN1_CHK_ADD( len, mbedtls_asn1_write_mpi( p, start, &rsa->N ) );
mbedtls_mpi_init( &T );
/* Export E */
if ( ( ret = mbedtls_rsa_export( rsa, NULL, NULL, NULL, NULL, &T ) ) != 0 ||
( ret = mbedtls_asn1_write_mpi( p, start, &T ) ) < 0 )
goto end_of_export;
len += ret;
/* Export N */
if ( ( ret = mbedtls_rsa_export( rsa, &T, NULL, NULL, NULL, NULL ) ) != 0 ||
( ret = mbedtls_asn1_write_mpi( p, start, &T ) ) < 0 )
goto end_of_export;
len += ret;
end_of_export:
mbedtls_mpi_free( &T );
if( ret < 0 )
return( ret );
MBEDTLS_ASN1_CHK_ADD( len, mbedtls_asn1_write_len( p, start, len ) );
MBEDTLS_ASN1_CHK_ADD( len, mbedtls_asn1_write_tag( p, start, MBEDTLS_ASN1_CONSTRUCTED |
@ -205,20 +223,78 @@ int mbedtls_pk_write_key_der( mbedtls_pk_context *key, unsigned char *buf, size_
#if defined(MBEDTLS_RSA_C)
if( mbedtls_pk_get_type( key ) == MBEDTLS_PK_RSA )
{
mbedtls_mpi T; /* Temporary holding the exported parameters */
mbedtls_rsa_context *rsa = mbedtls_pk_rsa( *key );
MBEDTLS_ASN1_CHK_ADD( len, mbedtls_asn1_write_mpi( &c, buf, &rsa->QP ) );
MBEDTLS_ASN1_CHK_ADD( len, mbedtls_asn1_write_mpi( &c, buf, &rsa->DQ ) );
MBEDTLS_ASN1_CHK_ADD( len, mbedtls_asn1_write_mpi( &c, buf, &rsa->DP ) );
MBEDTLS_ASN1_CHK_ADD( len, mbedtls_asn1_write_mpi( &c, buf, &rsa->Q ) );
MBEDTLS_ASN1_CHK_ADD( len, mbedtls_asn1_write_mpi( &c, buf, &rsa->P ) );
MBEDTLS_ASN1_CHK_ADD( len, mbedtls_asn1_write_mpi( &c, buf, &rsa->D ) );
MBEDTLS_ASN1_CHK_ADD( len, mbedtls_asn1_write_mpi( &c, buf, &rsa->E ) );
MBEDTLS_ASN1_CHK_ADD( len, mbedtls_asn1_write_mpi( &c, buf, &rsa->N ) );
MBEDTLS_ASN1_CHK_ADD( len, mbedtls_asn1_write_int( &c, buf, 0 ) );
/*
* Export the parameters one after another to avoid simultaneous copies.
*/
mbedtls_mpi_init( &T );
/* Export QP */
if( ( ret = mbedtls_rsa_export_crt( rsa, NULL, NULL, &T ) ) != 0 ||
( ret = mbedtls_asn1_write_mpi( &c, buf, &T ) ) < 0 )
goto end_of_export;
len += ret;
/* Export DQ */
if( ( ret = mbedtls_rsa_export_crt( rsa, NULL, &T, NULL ) ) != 0 ||
( ret = mbedtls_asn1_write_mpi( &c, buf, &T ) ) < 0 )
goto end_of_export;
len += ret;
/* Export DP */
if( ( ret = mbedtls_rsa_export_crt( rsa, &T, NULL, NULL ) ) != 0 ||
( ret = mbedtls_asn1_write_mpi( &c, buf, &T ) ) < 0 )
goto end_of_export;
len += ret;
/* Export Q */
if ( ( ret = mbedtls_rsa_export( rsa, NULL, NULL,
&T, NULL, NULL ) ) != 0 ||
( ret = mbedtls_asn1_write_mpi( &c, buf, &T ) ) < 0 )
goto end_of_export;
len += ret;
/* Export P */
if ( ( ret = mbedtls_rsa_export( rsa, NULL, &T,
NULL, NULL, NULL ) ) != 0 ||
( ret = mbedtls_asn1_write_mpi( &c, buf, &T ) ) < 0 )
goto end_of_export;
len += ret;
/* Export D */
if ( ( ret = mbedtls_rsa_export( rsa, NULL, NULL,
NULL, &T, NULL ) ) != 0 ||
( ret = mbedtls_asn1_write_mpi( &c, buf, &T ) ) < 0 )
goto end_of_export;
len += ret;
/* Export E */
if ( ( ret = mbedtls_rsa_export( rsa, NULL, NULL,
NULL, NULL, &T ) ) != 0 ||
( ret = mbedtls_asn1_write_mpi( &c, buf, &T ) ) < 0 )
goto end_of_export;
len += ret;
/* Export N */
if ( ( ret = mbedtls_rsa_export( rsa, &T, NULL,
NULL, NULL, NULL ) ) != 0 ||
( ret = mbedtls_asn1_write_mpi( &c, buf, &T ) ) < 0 )
goto end_of_export;
len += ret;
end_of_export:
mbedtls_mpi_free( &T );
if( ret < 0 )
return( ret );
MBEDTLS_ASN1_CHK_ADD( len, mbedtls_asn1_write_int( &c, buf, 0 ) );
MBEDTLS_ASN1_CHK_ADD( len, mbedtls_asn1_write_len( &c, buf, len ) );
MBEDTLS_ASN1_CHK_ADD( len, mbedtls_asn1_write_tag( &c, buf, MBEDTLS_ASN1_CONSTRUCTED |
MBEDTLS_ASN1_CHK_ADD( len, mbedtls_asn1_write_tag( &c,
buf, MBEDTLS_ASN1_CONSTRUCTED |
MBEDTLS_ASN1_SEQUENCE ) );
}
else

585
library/rsa.c
View File

@ -18,6 +18,7 @@
*
* This file is part of mbed TLS (https://tls.mbed.org)
*/
/*
* The following sources were referenced in the design of this implementation
* of the RSA algorithm:
@ -45,6 +46,7 @@
#if defined(MBEDTLS_RSA_C)
#include "mbedtls/rsa.h"
#include "mbedtls/rsa_internal.h"
#include "mbedtls/oid.h"
#include <string.h>
@ -66,11 +68,378 @@
#define mbedtls_free free
#endif
#if !defined(MBEDTLS_RSA_ALT)
/* Implementation that should never be optimized out by the compiler */
static void mbedtls_zeroize( void *v, size_t n ) {
volatile unsigned char *p = (unsigned char*)v; while( n-- ) *p++ = 0;
}
int mbedtls_rsa_import( mbedtls_rsa_context *ctx,
const mbedtls_mpi *N,
const mbedtls_mpi *P, const mbedtls_mpi *Q,
const mbedtls_mpi *D, const mbedtls_mpi *E )
{
int ret;
if( ( N != NULL && ( ret = mbedtls_mpi_copy( &ctx->N, N ) ) != 0 ) ||
( P != NULL && ( ret = mbedtls_mpi_copy( &ctx->P, P ) ) != 0 ) ||
( Q != NULL && ( ret = mbedtls_mpi_copy( &ctx->Q, Q ) ) != 0 ) ||
( D != NULL && ( ret = mbedtls_mpi_copy( &ctx->D, D ) ) != 0 ) ||
( E != NULL && ( ret = mbedtls_mpi_copy( &ctx->E, E ) ) != 0 ) )
{
return( MBEDTLS_ERR_RSA_BAD_INPUT_DATA + ret );
}
if( N != NULL )
ctx->len = mbedtls_mpi_size( &ctx->N );
return( 0 );
}
int mbedtls_rsa_import_raw( mbedtls_rsa_context *ctx,
unsigned char const *N, size_t N_len,
unsigned char const *P, size_t P_len,
unsigned char const *Q, size_t Q_len,
unsigned char const *D, size_t D_len,
unsigned char const *E, size_t E_len )
{
int ret;
if( N != NULL )
{
MBEDTLS_MPI_CHK( mbedtls_mpi_read_binary( &ctx->N, N, N_len ) );
ctx->len = mbedtls_mpi_size( &ctx->N );
}
if( P != NULL )
MBEDTLS_MPI_CHK( mbedtls_mpi_read_binary( &ctx->P, P, P_len ) );
if( Q != NULL )
MBEDTLS_MPI_CHK( mbedtls_mpi_read_binary( &ctx->Q, Q, Q_len ) );
if( D != NULL )
MBEDTLS_MPI_CHK( mbedtls_mpi_read_binary( &ctx->D, D, D_len ) );
if( E != NULL )
MBEDTLS_MPI_CHK( mbedtls_mpi_read_binary( &ctx->E, E, E_len ) );
cleanup:
if( ret != 0 )
return( MBEDTLS_ERR_RSA_BAD_INPUT_DATA + ret );
return( 0 );
}
/*
* Checks whether the context fields are set in such a way
* that the RSA primitives will be able to execute without error.
* It does *not* make guarantees for consistency of the parameters.
*/
static int rsa_check_context( mbedtls_rsa_context const *ctx, int is_priv,
int blinding_needed )
{
#if !defined(MBEDTLS_RSA_NO_CRT)
/* blinding_needed is only used for NO_CRT to decide whether
* P,Q need to be present or not. */
((void) blinding_needed);
#endif
if( ctx->len != mbedtls_mpi_size( &ctx->N ) ||
ctx->len > MBEDTLS_MPI_MAX_SIZE )
{
return( MBEDTLS_ERR_RSA_BAD_INPUT_DATA );
}
/*
* 1. Modular exponentiation needs positive, odd moduli.
*/
/* Modular exponentiation wrt. N is always used for
* RSA public key operations. */
if( mbedtls_mpi_cmp_int( &ctx->N, 0 ) <= 0 ||
mbedtls_mpi_get_bit( &ctx->N, 0 ) == 0 )
{
return( MBEDTLS_ERR_RSA_BAD_INPUT_DATA );
}
#if !defined(MBEDTLS_RSA_NO_CRT)
/* Modular exponentiation for P and Q is only
* used for private key operations and if CRT
* is used. */
if( is_priv &&
( mbedtls_mpi_cmp_int( &ctx->P, 0 ) <= 0 ||
mbedtls_mpi_get_bit( &ctx->P, 0 ) == 0 ||
mbedtls_mpi_cmp_int( &ctx->Q, 0 ) <= 0 ||
mbedtls_mpi_get_bit( &ctx->Q, 0 ) == 0 ) )
{
return( MBEDTLS_ERR_RSA_BAD_INPUT_DATA );
}
#endif /* !MBEDTLS_RSA_NO_CRT */
/*
* 2. Exponents must be positive
*/
/* Always need E for public key operations */
if( mbedtls_mpi_cmp_int( &ctx->E, 0 ) <= 0 )
return( MBEDTLS_ERR_RSA_BAD_INPUT_DATA );
#if defined(MBEDTLS_RSA_NO_CRT)
/* For private key operations, use D or DP & DQ
* as (unblinded) exponents. */
if( is_priv && mbedtls_mpi_cmp_int( &ctx->D, 0 ) <= 0 )
return( MBEDTLS_ERR_RSA_BAD_INPUT_DATA );
#else
if( is_priv &&
( mbedtls_mpi_cmp_int( &ctx->DP, 0 ) <= 0 ||
mbedtls_mpi_cmp_int( &ctx->DQ, 0 ) <= 0 ) )
{
return( MBEDTLS_ERR_RSA_BAD_INPUT_DATA );
}
#endif /* MBEDTLS_RSA_NO_CRT */
/* Blinding shouldn't make exponents negative either,
* so check that P, Q >= 1 if that hasn't yet been
* done as part of 1. */
#if defined(MBEDTLS_RSA_NO_CRT)
if( is_priv && blinding_needed &&
( mbedtls_mpi_cmp_int( &ctx->P, 0 ) <= 0 ||
mbedtls_mpi_cmp_int( &ctx->Q, 0 ) <= 0 ) )
{
return( MBEDTLS_ERR_RSA_BAD_INPUT_DATA );
}
#endif
/* It wouldn't lead to an error if it wasn't satisfied,
* but check for QP >= 1 nonetheless. */
#if !defined(MBEDTLS_RSA_NO_CRT)
if( is_priv &&
mbedtls_mpi_cmp_int( &ctx->QP, 0 ) <= 0 )
{
return( MBEDTLS_ERR_RSA_BAD_INPUT_DATA );
}
#endif
return( 0 );
}
int mbedtls_rsa_complete( mbedtls_rsa_context *ctx )
{
int ret = 0;
const int have_N = ( mbedtls_mpi_cmp_int( &ctx->N, 0 ) != 0 );
const int have_P = ( mbedtls_mpi_cmp_int( &ctx->P, 0 ) != 0 );
const int have_Q = ( mbedtls_mpi_cmp_int( &ctx->Q, 0 ) != 0 );
const int have_D = ( mbedtls_mpi_cmp_int( &ctx->D, 0 ) != 0 );
const int have_E = ( mbedtls_mpi_cmp_int( &ctx->E, 0 ) != 0 );
/*
* Check whether provided parameters are enough
* to deduce all others. The following incomplete
* parameter sets for private keys are supported:
*
* (1) P, Q missing.
* (2) D and potentially N missing.
*
*/
const int n_missing = have_P && have_Q && have_D && have_E;
const int pq_missing = have_N && !have_P && !have_Q && have_D && have_E;
const int d_missing = have_P && have_Q && !have_D && have_E;
const int is_pub = have_N && !have_P && !have_Q && !have_D && have_E;
/* These three alternatives are mutually exclusive */
const int is_priv = n_missing || pq_missing || d_missing;
if( !is_priv && !is_pub )
return( MBEDTLS_ERR_RSA_BAD_INPUT_DATA );
/*
* Step 1: Deduce N if P, Q are provided.
*/
if( !have_N && have_P && have_Q )
{
if( ( ret = mbedtls_mpi_mul_mpi( &ctx->N, &ctx->P,
&ctx->Q ) ) != 0 )
{
return( MBEDTLS_ERR_RSA_BAD_INPUT_DATA + ret );
}
ctx->len = mbedtls_mpi_size( &ctx->N );
}
/*
* Step 2: Deduce and verify all remaining core parameters.
*/
if( pq_missing )
{
ret = mbedtls_rsa_deduce_primes( &ctx->N, &ctx->E, &ctx->D,
&ctx->P, &ctx->Q );
if( ret != 0 )
return( MBEDTLS_ERR_RSA_BAD_INPUT_DATA + ret );
}
else if( d_missing )
{
if( ( ret = mbedtls_rsa_deduce_private_exponent( &ctx->P,
&ctx->Q,
&ctx->E,
&ctx->D ) ) != 0 )
{
return( MBEDTLS_ERR_RSA_BAD_INPUT_DATA + ret );
}
}
/*
* Step 3: Deduce all additional parameters specific
* to our current RSA implementation.
*/
#if !defined(MBEDTLS_RSA_NO_CRT)
if( is_priv )
{
ret = mbedtls_rsa_deduce_crt( &ctx->P, &ctx->Q, &ctx->D,
&ctx->DP, &ctx->DQ, &ctx->QP );
if( ret != 0 )
return( MBEDTLS_ERR_RSA_BAD_INPUT_DATA + ret );
}
#endif /* MBEDTLS_RSA_NO_CRT */
/*
* Step 3: Basic sanity checks
*/
return( rsa_check_context( ctx, is_priv, 1 ) );
}
int mbedtls_rsa_export_raw( const mbedtls_rsa_context *ctx,
unsigned char *N, size_t N_len,
unsigned char *P, size_t P_len,
unsigned char *Q, size_t Q_len,
unsigned char *D, size_t D_len,
unsigned char *E, size_t E_len )
{
int ret = 0;
/* Check if key is private or public */
const int is_priv =
mbedtls_mpi_cmp_int( &ctx->N, 0 ) != 0 &&
mbedtls_mpi_cmp_int( &ctx->P, 0 ) != 0 &&
mbedtls_mpi_cmp_int( &ctx->Q, 0 ) != 0 &&
mbedtls_mpi_cmp_int( &ctx->D, 0 ) != 0 &&
mbedtls_mpi_cmp_int( &ctx->E, 0 ) != 0;
if( !is_priv )
{
/* If we're trying to export private parameters for a public key,
* something must be wrong. */
if( P != NULL || Q != NULL || D != NULL )
return( MBEDTLS_ERR_RSA_BAD_INPUT_DATA );
}
if( N != NULL )
MBEDTLS_MPI_CHK( mbedtls_mpi_write_binary( &ctx->N, N, N_len ) );
if( P != NULL )
MBEDTLS_MPI_CHK( mbedtls_mpi_write_binary( &ctx->P, P, P_len ) );
if( Q != NULL )
MBEDTLS_MPI_CHK( mbedtls_mpi_write_binary( &ctx->Q, Q, Q_len ) );
if( D != NULL )
MBEDTLS_MPI_CHK( mbedtls_mpi_write_binary( &ctx->D, D, D_len ) );
if( E != NULL )
MBEDTLS_MPI_CHK( mbedtls_mpi_write_binary( &ctx->E, E, E_len ) );
cleanup:
return( ret );
}
int mbedtls_rsa_export( const mbedtls_rsa_context *ctx,
mbedtls_mpi *N, mbedtls_mpi *P, mbedtls_mpi *Q,
mbedtls_mpi *D, mbedtls_mpi *E )
{
int ret;
/* Check if key is private or public */
int is_priv =
mbedtls_mpi_cmp_int( &ctx->N, 0 ) != 0 &&
mbedtls_mpi_cmp_int( &ctx->P, 0 ) != 0 &&
mbedtls_mpi_cmp_int( &ctx->Q, 0 ) != 0 &&
mbedtls_mpi_cmp_int( &ctx->D, 0 ) != 0 &&
mbedtls_mpi_cmp_int( &ctx->E, 0 ) != 0;
if( !is_priv )
{
/* If we're trying to export private parameters for a public key,
* something must be wrong. */
if( P != NULL || Q != NULL || D != NULL )
return( MBEDTLS_ERR_RSA_BAD_INPUT_DATA );
}
/* Export all requested core parameters. */
if( ( N != NULL && ( ret = mbedtls_mpi_copy( N, &ctx->N ) ) != 0 ) ||
( P != NULL && ( ret = mbedtls_mpi_copy( P, &ctx->P ) ) != 0 ) ||
( Q != NULL && ( ret = mbedtls_mpi_copy( Q, &ctx->Q ) ) != 0 ) ||
( D != NULL && ( ret = mbedtls_mpi_copy( D, &ctx->D ) ) != 0 ) ||
( E != NULL && ( ret = mbedtls_mpi_copy( E, &ctx->E ) ) != 0 ) )
{
return( ret );
}
return( 0 );
}
/*
* Export CRT parameters
* This must also be implemented if CRT is not used, for being able to
* write DER encoded RSA keys. The helper function mbedtls_rsa_deduce_crt
* can be used in this case.
*/
int mbedtls_rsa_export_crt( const mbedtls_rsa_context *ctx,
mbedtls_mpi *DP, mbedtls_mpi *DQ, mbedtls_mpi *QP )
{
int ret;
/* Check if key is private or public */
int is_priv =
mbedtls_mpi_cmp_int( &ctx->N, 0 ) != 0 &&
mbedtls_mpi_cmp_int( &ctx->P, 0 ) != 0 &&
mbedtls_mpi_cmp_int( &ctx->Q, 0 ) != 0 &&
mbedtls_mpi_cmp_int( &ctx->D, 0 ) != 0 &&
mbedtls_mpi_cmp_int( &ctx->E, 0 ) != 0;
if( !is_priv )
return( MBEDTLS_ERR_RSA_BAD_INPUT_DATA );
#if !defined(MBEDTLS_RSA_NO_CRT)
/* Export all requested blinding parameters. */
if( ( DP != NULL && ( ret = mbedtls_mpi_copy( DP, &ctx->DP ) ) != 0 ) ||
( DQ != NULL && ( ret = mbedtls_mpi_copy( DQ, &ctx->DQ ) ) != 0 ) ||
( QP != NULL && ( ret = mbedtls_mpi_copy( QP, &ctx->QP ) ) != 0 ) )
{
return( MBEDTLS_ERR_RSA_BAD_INPUT_DATA + ret );
}
#else
if( ( ret = mbedtls_rsa_deduce_crt( &ctx->P, &ctx->Q, &ctx->D,
DP, DQ, QP ) ) != 0 )
{
return( MBEDTLS_ERR_RSA_BAD_INPUT_DATA + ret );
}
#endif
return( 0 );
}
/*
* Initialize an RSA context
*/
@ -96,6 +465,16 @@ void mbedtls_rsa_set_padding( mbedtls_rsa_context *ctx, int padding, int hash_id
ctx->hash_id = hash_id;
}
/*
* Get length in bytes of RSA modulus
*/
size_t mbedtls_rsa_get_len( const mbedtls_rsa_context *ctx )
{
return( ctx->len );
}
#if defined(MBEDTLS_GENPRIME)
/*
@ -107,7 +486,7 @@ int mbedtls_rsa_gen_key( mbedtls_rsa_context *ctx,
unsigned int nbits, int exponent )
{
int ret;
mbedtls_mpi P1, Q1, H, G;
mbedtls_mpi H, G;
if( f_rng == NULL || nbits < 128 || exponent < 3 )
return( MBEDTLS_ERR_RSA_BAD_INPUT_DATA );
@ -115,8 +494,8 @@ int mbedtls_rsa_gen_key( mbedtls_rsa_context *ctx,
if( nbits % 2 )
return( MBEDTLS_ERR_RSA_BAD_INPUT_DATA );
mbedtls_mpi_init( &P1 ); mbedtls_mpi_init( &Q1 );
mbedtls_mpi_init( &H ); mbedtls_mpi_init( &G );
mbedtls_mpi_init( &H );
mbedtls_mpi_init( &G );
/*
* find primes P and Q with Q < P so that:
@ -142,29 +521,41 @@ int mbedtls_rsa_gen_key( mbedtls_rsa_context *ctx,
if( mbedtls_mpi_cmp_mpi( &ctx->P, &ctx->Q ) < 0 )
mbedtls_mpi_swap( &ctx->P, &ctx->Q );
MBEDTLS_MPI_CHK( mbedtls_mpi_sub_int( &P1, &ctx->P, 1 ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_sub_int( &Q1, &ctx->Q, 1 ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_mul_mpi( &H, &P1, &Q1 ) );
/* Temporarily replace P,Q by P-1, Q-1 */
MBEDTLS_MPI_CHK( mbedtls_mpi_sub_int( &ctx->P, &ctx->P, 1 ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_sub_int( &ctx->Q, &ctx->Q, 1 ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_mul_mpi( &H, &ctx->P, &ctx->Q ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_gcd( &G, &ctx->E, &H ) );
}
while( mbedtls_mpi_cmp_int( &G, 1 ) != 0 );
/* Restore P,Q */
MBEDTLS_MPI_CHK( mbedtls_mpi_add_int( &ctx->P, &ctx->P, 1 ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_add_int( &ctx->Q, &ctx->Q, 1 ) );
ctx->len = mbedtls_mpi_size( &ctx->N );
/*
* D = E^-1 mod ((P-1)*(Q-1))
* DP = D mod (P - 1)
* DQ = D mod (Q - 1)
* QP = Q^-1 mod P
*/
MBEDTLS_MPI_CHK( mbedtls_mpi_inv_mod( &ctx->D , &ctx->E, &H ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_mod_mpi( &ctx->DP, &ctx->D, &P1 ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_mod_mpi( &ctx->DQ, &ctx->D, &Q1 ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_inv_mod( &ctx->QP, &ctx->Q, &ctx->P ) );
ctx->len = ( mbedtls_mpi_bitlen( &ctx->N ) + 7 ) >> 3;
MBEDTLS_MPI_CHK( mbedtls_mpi_inv_mod( &ctx->D, &ctx->E, &H ) );
#if !defined(MBEDTLS_RSA_NO_CRT)
MBEDTLS_MPI_CHK( mbedtls_rsa_deduce_crt( &ctx->P, &ctx->Q, &ctx->D,
&ctx->DP, &ctx->DQ, &ctx->QP ) );
#endif /* MBEDTLS_RSA_NO_CRT */
/* Double-check */
MBEDTLS_MPI_CHK( mbedtls_rsa_check_privkey( ctx ) );
cleanup:
mbedtls_mpi_free( &P1 ); mbedtls_mpi_free( &Q1 ); mbedtls_mpi_free( &H ); mbedtls_mpi_free( &G );
mbedtls_mpi_free( &H );
mbedtls_mpi_free( &G );
if( ret != 0 )
{
@ -182,82 +573,48 @@ cleanup:
*/
int mbedtls_rsa_check_pubkey( const mbedtls_rsa_context *ctx )
{
if( !ctx->N.p || !ctx->E.p )
if( rsa_check_context( ctx, 0 /* public */, 0 /* no blinding */ ) != 0 )
return( MBEDTLS_ERR_RSA_KEY_CHECK_FAILED );
if( ( ctx->N.p[0] & 1 ) == 0 ||
( ctx->E.p[0] & 1 ) == 0 )
if( mbedtls_mpi_bitlen( &ctx->N ) < 128 )
{
return( MBEDTLS_ERR_RSA_KEY_CHECK_FAILED );
}
if( mbedtls_mpi_bitlen( &ctx->N ) < 128 ||
mbedtls_mpi_bitlen( &ctx->N ) > MBEDTLS_MPI_MAX_BITS )
return( MBEDTLS_ERR_RSA_KEY_CHECK_FAILED );
if( mbedtls_mpi_bitlen( &ctx->E ) < 2 ||
if( mbedtls_mpi_get_bit( &ctx->E, 0 ) == 0 ||
mbedtls_mpi_bitlen( &ctx->E ) < 2 ||
mbedtls_mpi_cmp_mpi( &ctx->E, &ctx->N ) >= 0 )
{
return( MBEDTLS_ERR_RSA_KEY_CHECK_FAILED );
}
return( 0 );
}
/*
* Check a private RSA key
* Check for the consistency of all fields in an RSA private key context
*/
int mbedtls_rsa_check_privkey( const mbedtls_rsa_context *ctx )
{
int ret;
mbedtls_mpi PQ, DE, P1, Q1, H, I, G, G2, L1, L2, DP, DQ, QP;
if( ( ret = mbedtls_rsa_check_pubkey( ctx ) ) != 0 )
return( ret );
if( !ctx->P.p || !ctx->Q.p || !ctx->D.p )
return( MBEDTLS_ERR_RSA_KEY_CHECK_FAILED );
mbedtls_mpi_init( &PQ ); mbedtls_mpi_init( &DE ); mbedtls_mpi_init( &P1 ); mbedtls_mpi_init( &Q1 );
mbedtls_mpi_init( &H ); mbedtls_mpi_init( &I ); mbedtls_mpi_init( &G ); mbedtls_mpi_init( &G2 );
mbedtls_mpi_init( &L1 ); mbedtls_mpi_init( &L2 ); mbedtls_mpi_init( &DP ); mbedtls_mpi_init( &DQ );
mbedtls_mpi_init( &QP );
MBEDTLS_MPI_CHK( mbedtls_mpi_mul_mpi( &PQ, &ctx->P, &ctx->Q ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_mul_mpi( &DE, &ctx->D, &ctx->E ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_sub_int( &P1, &ctx->P, 1 ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_sub_int( &Q1, &ctx->Q, 1 ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_mul_mpi( &H, &P1, &Q1 ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_gcd( &G, &ctx->E, &H ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_gcd( &G2, &P1, &Q1 ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_div_mpi( &L1, &L2, &H, &G2 ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_mod_mpi( &I, &DE, &L1 ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_mod_mpi( &DP, &ctx->D, &P1 ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_mod_mpi( &DQ, &ctx->D, &Q1 ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_inv_mod( &QP, &ctx->Q, &ctx->P ) );
/*
* Check for a valid PKCS1v2 private key
*/
if( mbedtls_mpi_cmp_mpi( &PQ, &ctx->N ) != 0 ||
mbedtls_mpi_cmp_mpi( &DP, &ctx->DP ) != 0 ||
mbedtls_mpi_cmp_mpi( &DQ, &ctx->DQ ) != 0 ||
mbedtls_mpi_cmp_mpi( &QP, &ctx->QP ) != 0 ||
mbedtls_mpi_cmp_int( &L2, 0 ) != 0 ||
mbedtls_mpi_cmp_int( &I, 1 ) != 0 ||
mbedtls_mpi_cmp_int( &G, 1 ) != 0 )
if( mbedtls_rsa_check_pubkey( ctx ) != 0 ||
rsa_check_context( ctx, 1 /* private */, 1 /* blinding */ ) != 0 )
{
ret = MBEDTLS_ERR_RSA_KEY_CHECK_FAILED;
return( MBEDTLS_ERR_RSA_KEY_CHECK_FAILED );
}
cleanup:
mbedtls_mpi_free( &PQ ); mbedtls_mpi_free( &DE ); mbedtls_mpi_free( &P1 ); mbedtls_mpi_free( &Q1 );
mbedtls_mpi_free( &H ); mbedtls_mpi_free( &I ); mbedtls_mpi_free( &G ); mbedtls_mpi_free( &G2 );
mbedtls_mpi_free( &L1 ); mbedtls_mpi_free( &L2 ); mbedtls_mpi_free( &DP ); mbedtls_mpi_free( &DQ );
mbedtls_mpi_free( &QP );
if( mbedtls_rsa_validate_params( &ctx->N, &ctx->P, &ctx->Q,
&ctx->D, &ctx->E, NULL, NULL ) != 0 )
{
return( MBEDTLS_ERR_RSA_KEY_CHECK_FAILED );
}
if( ret == MBEDTLS_ERR_RSA_KEY_CHECK_FAILED )
return( ret );
if( ret != 0 )
return( MBEDTLS_ERR_RSA_KEY_CHECK_FAILED + ret );
#if !defined(MBEDTLS_RSA_NO_CRT)
else if( mbedtls_rsa_validate_crt( &ctx->P, &ctx->Q, &ctx->D,
&ctx->DP, &ctx->DQ, &ctx->QP ) != 0 )
{
return( MBEDTLS_ERR_RSA_KEY_CHECK_FAILED );
}
#endif
return( 0 );
}
@ -265,7 +622,8 @@ cleanup:
/*
* Check if contexts holding a public and private key match
*/
int mbedtls_rsa_check_pub_priv( const mbedtls_rsa_context *pub, const mbedtls_rsa_context *prv )
int mbedtls_rsa_check_pub_priv( const mbedtls_rsa_context *pub,
const mbedtls_rsa_context *prv )
{
if( mbedtls_rsa_check_pubkey( pub ) != 0 ||
mbedtls_rsa_check_privkey( prv ) != 0 )
@ -293,6 +651,9 @@ int mbedtls_rsa_public( mbedtls_rsa_context *ctx,
size_t olen;
mbedtls_mpi T;
if( rsa_check_context( ctx, 0 /* public */, 0 /* no blinding */ ) )
return( MBEDTLS_ERR_RSA_BAD_INPUT_DATA );
mbedtls_mpi_init( &T );
#if defined(MBEDTLS_THREADING_C)
@ -409,14 +770,15 @@ int mbedtls_rsa_private( mbedtls_rsa_context *ctx,
mbedtls_mpi *DQ = &ctx->DQ;
#endif
/* Make sure we have private key info, prevent possible misuse */
if( ctx->P.p == NULL || ctx->Q.p == NULL || ctx->D.p == NULL )
if( rsa_check_context( ctx, 1 /* private key checks */,
f_rng != NULL /* blinding y/n */ ) != 0 )
{
return( MBEDTLS_ERR_RSA_BAD_INPUT_DATA );
}
mbedtls_mpi_init( &T ); mbedtls_mpi_init( &T1 ); mbedtls_mpi_init( &T2 );
mbedtls_mpi_init( &P1 ); mbedtls_mpi_init( &Q1 ); mbedtls_mpi_init( &R );
if( f_rng != NULL )
{
#if defined(MBEDTLS_RSA_NO_CRT)
@ -1630,13 +1992,16 @@ int mbedtls_rsa_copy( mbedtls_rsa_context *dst, const mbedtls_rsa_context *src )
MBEDTLS_MPI_CHK( mbedtls_mpi_copy( &dst->D, &src->D ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_copy( &dst->P, &src->P ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_copy( &dst->Q, &src->Q ) );
#if !defined(MBEDTLS_RSA_NO_CRT)
MBEDTLS_MPI_CHK( mbedtls_mpi_copy( &dst->DP, &src->DP ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_copy( &dst->DQ, &src->DQ ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_copy( &dst->QP, &src->QP ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_copy( &dst->RN, &src->RN ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_copy( &dst->RP, &src->RP ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_copy( &dst->RQ, &src->RQ ) );
#endif
MBEDTLS_MPI_CHK( mbedtls_mpi_copy( &dst->RN, &src->RN ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_copy( &dst->Vi, &src->Vi ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_copy( &dst->Vf, &src->Vf ) );
@ -1657,16 +2022,23 @@ cleanup:
void mbedtls_rsa_free( mbedtls_rsa_context *ctx )
{
mbedtls_mpi_free( &ctx->Vi ); mbedtls_mpi_free( &ctx->Vf );
mbedtls_mpi_free( &ctx->RQ ); mbedtls_mpi_free( &ctx->RP ); mbedtls_mpi_free( &ctx->RN );
mbedtls_mpi_free( &ctx->QP ); mbedtls_mpi_free( &ctx->DQ ); mbedtls_mpi_free( &ctx->DP );
mbedtls_mpi_free( &ctx->Q ); mbedtls_mpi_free( &ctx->P ); mbedtls_mpi_free( &ctx->D );
mbedtls_mpi_free( &ctx->RN ); mbedtls_mpi_free( &ctx->D );
mbedtls_mpi_free( &ctx->Q ); mbedtls_mpi_free( &ctx->P );
mbedtls_mpi_free( &ctx->E ); mbedtls_mpi_free( &ctx->N );
#if !defined(MBEDTLS_RSA_NO_CRT)
mbedtls_mpi_free( &ctx->RQ ); mbedtls_mpi_free( &ctx->RP );
mbedtls_mpi_free( &ctx->QP ); mbedtls_mpi_free( &ctx->DQ );
mbedtls_mpi_free( &ctx->DP );
#endif /* MBEDTLS_RSA_NO_CRT */
#if defined(MBEDTLS_THREADING_C)
mbedtls_mutex_free( &ctx->mutex );
#endif
}
#endif /* !MBEDTLS_RSA_ALT */
#if defined(MBEDTLS_SELF_TEST)
#include "mbedtls/sha1.h"
@ -1706,21 +2078,6 @@ void mbedtls_rsa_free( mbedtls_rsa_context *ctx )
"910E4168387E3C30AA1E00C339A79508" \
"8452DD96A9A5EA5D9DCA68DA636032AF"
#define RSA_DP "C1ACF567564274FB07A0BBAD5D26E298" \
"3C94D22288ACD763FD8E5600ED4A702D" \
"F84198A5F06C2E72236AE490C93F07F8" \
"3CC559CD27BC2D1CA488811730BB5725"
#define RSA_DQ "4959CBF6F8FEF750AEE6977C155579C7" \
"D8AAEA56749EA28623272E4F7D0592AF" \
"7C1F1313CAC9471B5C523BFE592F517B" \
"407A1BD76C164B93DA2D32A383E58357"
#define RSA_QP "9AE7FBC99546432DF71896FC239EADAE" \
"F38D18D2B2F0E2DD275AA977E2BF4411" \
"F5A3B2A5D33605AEBBCCBA7FEB9F2D2F" \
"A74206CEC169D74BF5A8C50D6F48EA08"
#define PT_LEN 24
#define RSA_PT "\xAA\xBB\xCC\x03\x02\x01\x00\xFF\xFF\xFF\xFF\xFF" \
"\x11\x22\x33\x0A\x0B\x0C\xCC\xDD\xDD\xDD\xDD\xDD"
@ -1763,17 +2120,23 @@ int mbedtls_rsa_self_test( int verbose )
unsigned char sha1sum[20];
#endif
mbedtls_mpi K;
mbedtls_mpi_init( &K );
mbedtls_rsa_init( &rsa, MBEDTLS_RSA_PKCS_V15, 0 );
rsa.len = KEY_LEN;
MBEDTLS_MPI_CHK( mbedtls_mpi_read_string( &rsa.N , 16, RSA_N ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_read_string( &rsa.E , 16, RSA_E ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_read_string( &rsa.D , 16, RSA_D ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_read_string( &rsa.P , 16, RSA_P ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_read_string( &rsa.Q , 16, RSA_Q ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_read_string( &rsa.DP, 16, RSA_DP ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_read_string( &rsa.DQ, 16, RSA_DQ ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_read_string( &rsa.QP, 16, RSA_QP ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_read_string( &K, 16, RSA_N ) );
MBEDTLS_MPI_CHK( mbedtls_rsa_import( &rsa, &K, NULL, NULL, NULL, NULL ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_read_string( &K, 16, RSA_P ) );
MBEDTLS_MPI_CHK( mbedtls_rsa_import( &rsa, NULL, &K, NULL, NULL, NULL ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_read_string( &K, 16, RSA_Q ) );
MBEDTLS_MPI_CHK( mbedtls_rsa_import( &rsa, NULL, NULL, &K, NULL, NULL ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_read_string( &K, 16, RSA_D ) );
MBEDTLS_MPI_CHK( mbedtls_rsa_import( &rsa, NULL, NULL, NULL, &K, NULL ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_read_string( &K, 16, RSA_E ) );
MBEDTLS_MPI_CHK( mbedtls_rsa_import( &rsa, NULL, NULL, NULL, NULL, &K ) );
MBEDTLS_MPI_CHK( mbedtls_rsa_complete( &rsa ) );
if( verbose != 0 )
mbedtls_printf( " RSA key validation: " );
@ -1792,8 +2155,9 @@ int mbedtls_rsa_self_test( int verbose )
memcpy( rsa_plaintext, RSA_PT, PT_LEN );
if( mbedtls_rsa_pkcs1_encrypt( &rsa, myrand, NULL, MBEDTLS_RSA_PUBLIC, PT_LEN,
rsa_plaintext, rsa_ciphertext ) != 0 )
if( mbedtls_rsa_pkcs1_encrypt( &rsa, myrand, NULL, MBEDTLS_RSA_PUBLIC,
PT_LEN, rsa_plaintext,
rsa_ciphertext ) != 0 )
{
if( verbose != 0 )
mbedtls_printf( "failed\n" );
@ -1804,8 +2168,8 @@ int mbedtls_rsa_self_test( int verbose )
if( verbose != 0 )
mbedtls_printf( "passed\n PKCS#1 decryption : " );
if( mbedtls_rsa_pkcs1_decrypt( &rsa, myrand, NULL, MBEDTLS_RSA_PRIVATE, &len,
rsa_ciphertext, rsa_decrypted,
if( mbedtls_rsa_pkcs1_decrypt( &rsa, myrand, NULL, MBEDTLS_RSA_PRIVATE,
&len, rsa_ciphertext, rsa_decrypted,
sizeof(rsa_decrypted) ) != 0 )
{
if( verbose != 0 )
@ -1831,7 +2195,8 @@ int mbedtls_rsa_self_test( int verbose )
mbedtls_sha1( rsa_plaintext, PT_LEN, sha1sum );
if( mbedtls_rsa_pkcs1_sign( &rsa, myrand, NULL, MBEDTLS_RSA_PRIVATE, MBEDTLS_MD_SHA1, 0,
if( mbedtls_rsa_pkcs1_sign( &rsa, myrand, NULL,
MBEDTLS_RSA_PRIVATE, MBEDTLS_MD_SHA1, 0,
sha1sum, rsa_ciphertext ) != 0 )
{
if( verbose != 0 )
@ -1843,7 +2208,8 @@ int mbedtls_rsa_self_test( int verbose )
if( verbose != 0 )
mbedtls_printf( "passed\n PKCS#1 sig. verify: " );
if( mbedtls_rsa_pkcs1_verify( &rsa, NULL, NULL, MBEDTLS_RSA_PUBLIC, MBEDTLS_MD_SHA1, 0,
if( mbedtls_rsa_pkcs1_verify( &rsa, NULL, NULL,
MBEDTLS_RSA_PUBLIC, MBEDTLS_MD_SHA1, 0,
sha1sum, rsa_ciphertext ) != 0 )
{
if( verbose != 0 )
@ -1860,6 +2226,7 @@ int mbedtls_rsa_self_test( int verbose )
mbedtls_printf( "\n" );
cleanup:
mbedtls_mpi_free( &K );
mbedtls_rsa_free( &rsa );
#else /* MBEDTLS_PKCS1_V15 */
((void) verbose);

487
library/rsa_internal.c Normal file
View File

@ -0,0 +1,487 @@
/*
* Helper functions for the RSA module
*
* Copyright (C) 2006-2017, 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)
*
*/
#if !defined(MBEDTLS_CONFIG_FILE)
#include "mbedtls/config.h"
#else
#include MBEDTLS_CONFIG_FILE
#endif
#if defined(MBEDTLS_RSA_C)
#include "mbedtls/rsa.h"
#include "mbedtls/bignum.h"
#include "mbedtls/rsa_internal.h"
/*
* Compute RSA prime factors from public and private exponents
*
* Summary of algorithm:
* Setting F := lcm(P-1,Q-1), the idea is as follows:
*
* (a) For any 1 <= X < N with gcd(X,N)=1, we have X^F = 1 modulo N, so X^(F/2)
* is a square root of 1 in Z/NZ. Since Z/NZ ~= Z/PZ x Z/QZ by CRT and the
* square roots of 1 in Z/PZ and Z/QZ are +1 and -1, this leaves the four
* possibilities X^(F/2) = (+-1, +-1). If it happens that X^(F/2) = (-1,+1)
* or (+1,-1), then gcd(X^(F/2) + 1, N) will be equal to one of the prime
* factors of N.
*
* (b) If we don't know F/2 but (F/2) * K for some odd (!) K, then the same
* construction still applies since (-)^K is the identity on the set of
* roots of 1 in Z/NZ.
*
* The public and private key primitives (-)^E and (-)^D are mutually inverse
* bijections on Z/NZ if and only if (-)^(DE) is the identity on Z/NZ, i.e.
* if and only if DE - 1 is a multiple of F, say DE - 1 = F * L.
* Splitting L = 2^t * K with K odd, we have
*
* DE - 1 = FL = (F/2) * (2^(t+1)) * K,
*
* so (F / 2) * K is among the numbers
*
* (DE - 1) >> 1, (DE - 1) >> 2, ..., (DE - 1) >> ord
*
* where ord is the order of 2 in (DE - 1).
* We can therefore iterate through these numbers apply the construction
* of (a) and (b) above to attempt to factor N.
*
*/
int mbedtls_rsa_deduce_primes( mbedtls_mpi const *N,
mbedtls_mpi const *E, mbedtls_mpi const *D,
mbedtls_mpi *P, mbedtls_mpi *Q )
{
int ret = 0;
uint16_t attempt; /* Number of current attempt */
uint16_t iter; /* Number of squares computed in the current attempt */
uint16_t order; /* Order of 2 in DE - 1 */
mbedtls_mpi T; /* Holds largest odd divisor of DE - 1 */
mbedtls_mpi K; /* Temporary holding the current candidate */
const unsigned char primes[] = { 2,
3, 5, 7, 11, 13, 17, 19, 23,
29, 31, 37, 41, 43, 47, 53, 59,
61, 67, 71, 73, 79, 83, 89, 97,
101, 103, 107, 109, 113, 127, 131, 137,
139, 149, 151, 157, 163, 167, 173, 179,
181, 191, 193, 197, 199, 211, 223, 227,
229, 233, 239, 241, 251
};
const size_t num_primes = sizeof( primes ) / sizeof( *primes );
if( P == NULL || Q == NULL || P->p != NULL || Q->p != NULL )
return( MBEDTLS_ERR_MPI_BAD_INPUT_DATA );
if( mbedtls_mpi_cmp_int( N, 0 ) <= 0 ||
mbedtls_mpi_cmp_int( D, 1 ) <= 0 ||
mbedtls_mpi_cmp_mpi( D, N ) >= 0 ||
mbedtls_mpi_cmp_int( E, 1 ) <= 0 ||
mbedtls_mpi_cmp_mpi( E, N ) >= 0 )
{
return( MBEDTLS_ERR_MPI_BAD_INPUT_DATA );
}
/*
* Initializations and temporary changes
*/
mbedtls_mpi_init( &K );
mbedtls_mpi_init( &T );
/* T := DE - 1 */
MBEDTLS_MPI_CHK( mbedtls_mpi_mul_mpi( &T, D, E ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_sub_int( &T, &T, 1 ) );
if( ( order = (uint16_t) mbedtls_mpi_lsb( &T ) ) == 0 )
{
ret = MBEDTLS_ERR_MPI_BAD_INPUT_DATA;
goto cleanup;
}
/* After this operation, T holds the largest odd divisor of DE - 1. */
MBEDTLS_MPI_CHK( mbedtls_mpi_shift_r( &T, order ) );
/*
* Actual work
*/
/* Skip trying 2 if N == 1 mod 8 */
attempt = 0;
if( N->p[0] % 8 == 1 )
attempt = 1;
for( ; attempt < num_primes; ++attempt )
{
mbedtls_mpi_lset( &K, primes[attempt] );
/* Check if gcd(K,N) = 1 */
MBEDTLS_MPI_CHK( mbedtls_mpi_gcd( P, &K, N ) );
if( mbedtls_mpi_cmp_int( P, 1 ) != 0 )
continue;
/* Go through K^T + 1, K^(2T) + 1, K^(4T) + 1, ...
* and check whether they have nontrivial GCD with N. */
MBEDTLS_MPI_CHK( mbedtls_mpi_exp_mod( &K, &K, &T, N,
Q /* temporarily use Q for storing Montgomery
* multiplication helper values */ ) );
for( iter = 1; iter <= order; ++iter )
{
/* If we reach 1 prematurely, there's no point
* in continuing to square K */
if( mbedtls_mpi_cmp_int( &K, 1 ) == 0 )
break;
MBEDTLS_MPI_CHK( mbedtls_mpi_add_int( &K, &K, 1 ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_gcd( P, &K, N ) );
if( mbedtls_mpi_cmp_int( P, 1 ) == 1 &&
mbedtls_mpi_cmp_mpi( P, N ) == -1 )
{
/*
* Have found a nontrivial divisor P of N.
* Set Q := N / P.
*/
MBEDTLS_MPI_CHK( mbedtls_mpi_div_mpi( Q, NULL, N, P ) );
goto cleanup;
}
MBEDTLS_MPI_CHK( mbedtls_mpi_sub_int( &K, &K, 1 ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_mul_mpi( &K, &K, &K ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_mod_mpi( &K, &K, N ) );
}
/*
* If we get here, then either we prematurely aborted the loop because
* we reached 1, or K holds primes[attempt]^(DE - 1) mod N, which must
* be 1 if D,E,N were consistent.
* Check if that's the case and abort if not, to avoid very long,
* yet eventually failing, computations if N,D,E were not sane.
*/
if( mbedtls_mpi_cmp_int( &K, 1 ) != 0 )
{
break;
}
}
ret = MBEDTLS_ERR_MPI_BAD_INPUT_DATA;
cleanup:
mbedtls_mpi_free( &K );
mbedtls_mpi_free( &T );
return( ret );
}
/*
* Given P, Q and the public exponent E, deduce D.
* This is essentially a modular inversion.
*/
int mbedtls_rsa_deduce_private_exponent( mbedtls_mpi const *P,
mbedtls_mpi const *Q,
mbedtls_mpi const *E,
mbedtls_mpi *D )
{
int ret = 0;
mbedtls_mpi K, L;
if( D == NULL || mbedtls_mpi_cmp_int( D, 0 ) != 0 )
return( MBEDTLS_ERR_MPI_BAD_INPUT_DATA );
if( mbedtls_mpi_cmp_int( P, 1 ) <= 0 ||
mbedtls_mpi_cmp_int( Q, 1 ) <= 0 ||
mbedtls_mpi_cmp_int( E, 0 ) == 0 )
{
return( MBEDTLS_ERR_MPI_BAD_INPUT_DATA );
}
mbedtls_mpi_init( &K );
mbedtls_mpi_init( &L );
/* Temporarily put K := P-1 and L := Q-1 */
MBEDTLS_MPI_CHK( mbedtls_mpi_sub_int( &K, P, 1 ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_sub_int( &L, Q, 1 ) );
/* Temporarily put D := gcd(P-1, Q-1) */
MBEDTLS_MPI_CHK( mbedtls_mpi_gcd( D, &K, &L ) );
/* K := LCM(P-1, Q-1) */
MBEDTLS_MPI_CHK( mbedtls_mpi_mul_mpi( &K, &K, &L ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_div_mpi( &K, NULL, &K, D ) );
/* Compute modular inverse of E in LCM(P-1, Q-1) */
MBEDTLS_MPI_CHK( mbedtls_mpi_inv_mod( D, E, &K ) );
cleanup:
mbedtls_mpi_free( &K );
mbedtls_mpi_free( &L );
return( ret );
}
/*
* Check that RSA CRT parameters are in accordance with core parameters.
*/
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 )
{
int ret = 0;
mbedtls_mpi K, L;
mbedtls_mpi_init( &K );
mbedtls_mpi_init( &L );
/* Check that DP - D == 0 mod P - 1 */
if( DP != NULL )
{
if( P == NULL )
{
ret = MBEDTLS_ERR_RSA_BAD_INPUT_DATA;
goto cleanup;
}
MBEDTLS_MPI_CHK( mbedtls_mpi_sub_int( &K, P, 1 ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_sub_mpi( &L, DP, D ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_mod_mpi( &L, &L, &K ) );
if( mbedtls_mpi_cmp_int( &L, 0 ) != 0 )
{
ret = MBEDTLS_ERR_RSA_KEY_CHECK_FAILED;
goto cleanup;
}
}
/* Check that DQ - D == 0 mod Q - 1 */
if( DQ != NULL )
{
if( Q == NULL )
{
ret = MBEDTLS_ERR_RSA_BAD_INPUT_DATA;
goto cleanup;
}
MBEDTLS_MPI_CHK( mbedtls_mpi_sub_int( &K, Q, 1 ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_sub_mpi( &L, DQ, D ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_mod_mpi( &L, &L, &K ) );
if( mbedtls_mpi_cmp_int( &L, 0 ) != 0 )
{
ret = MBEDTLS_ERR_RSA_KEY_CHECK_FAILED;
goto cleanup;
}
}
/* Check that QP * Q - 1 == 0 mod P */
if( QP != NULL )
{
if( P == NULL || Q == NULL )
{
ret = MBEDTLS_ERR_RSA_BAD_INPUT_DATA;
goto cleanup;
}
MBEDTLS_MPI_CHK( mbedtls_mpi_mul_mpi( &K, QP, Q ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_sub_int( &K, &K, 1 ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_mod_mpi( &K, &K, P ) );
if( mbedtls_mpi_cmp_int( &K, 0 ) != 0 )
{
ret = MBEDTLS_ERR_RSA_KEY_CHECK_FAILED;
goto cleanup;
}
}
cleanup:
/* Wrap MPI error codes by RSA check failure error code */
if( ret != 0 &&
ret != MBEDTLS_ERR_RSA_KEY_CHECK_FAILED &&
ret != MBEDTLS_ERR_RSA_BAD_INPUT_DATA )
{
ret += MBEDTLS_ERR_RSA_KEY_CHECK_FAILED;
}
mbedtls_mpi_free( &K );
mbedtls_mpi_free( &L );
return( ret );
}
/*
* Check that core RSA parameters are sane.
*/
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 )
{
int ret = 0;
mbedtls_mpi K, L;
mbedtls_mpi_init( &K );
mbedtls_mpi_init( &L );
/*
* Step 1: If PRNG provided, check that P and Q are prime
*/
#if defined(MBEDTLS_GENPRIME)
if( f_rng != NULL && P != NULL &&
( ret = mbedtls_mpi_is_prime( P, f_rng, p_rng ) ) != 0 )
{
ret = MBEDTLS_ERR_RSA_KEY_CHECK_FAILED;
goto cleanup;
}
if( f_rng != NULL && Q != NULL &&
( ret = mbedtls_mpi_is_prime( Q, f_rng, p_rng ) ) != 0 )
{
ret = MBEDTLS_ERR_RSA_KEY_CHECK_FAILED;
goto cleanup;
}
#else
((void) f_rng);
((void) p_rng);
#endif /* MBEDTLS_GENPRIME */
/*
* Step 2: Check that 1 < N = P * Q
*/
if( P != NULL && Q != NULL && N != NULL )
{
MBEDTLS_MPI_CHK( mbedtls_mpi_mul_mpi( &K, P, Q ) );
if( mbedtls_mpi_cmp_int( N, 1 ) <= 0 ||
mbedtls_mpi_cmp_mpi( &K, N ) != 0 )
{
ret = MBEDTLS_ERR_RSA_KEY_CHECK_FAILED;
goto cleanup;
}
}
/*
* Step 3: Check and 1 < D, E < N if present.
*/
if( N != NULL && D != NULL && E != NULL )
{
if ( mbedtls_mpi_cmp_int( D, 1 ) <= 0 ||
mbedtls_mpi_cmp_int( E, 1 ) <= 0 ||
mbedtls_mpi_cmp_mpi( D, N ) >= 0 ||
mbedtls_mpi_cmp_mpi( E, N ) >= 0 )
{
ret = MBEDTLS_ERR_RSA_KEY_CHECK_FAILED;
goto cleanup;
}
}
/*
* Step 4: Check that D, E are inverse modulo P-1 and Q-1
*/
if( P != NULL && Q != NULL && D != NULL && E != NULL )
{
if( mbedtls_mpi_cmp_int( P, 1 ) <= 0 ||
mbedtls_mpi_cmp_int( Q, 1 ) <= 0 )
{
ret = MBEDTLS_ERR_RSA_KEY_CHECK_FAILED;
goto cleanup;
}
/* Compute DE-1 mod P-1 */
MBEDTLS_MPI_CHK( mbedtls_mpi_mul_mpi( &K, D, E ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_sub_int( &K, &K, 1 ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_sub_int( &L, P, 1 ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_mod_mpi( &K, &K, &L ) );
if( mbedtls_mpi_cmp_int( &K, 0 ) != 0 )
{
ret = MBEDTLS_ERR_RSA_KEY_CHECK_FAILED;
goto cleanup;
}
/* Compute DE-1 mod Q-1 */
MBEDTLS_MPI_CHK( mbedtls_mpi_mul_mpi( &K, D, E ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_sub_int( &K, &K, 1 ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_sub_int( &L, Q, 1 ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_mod_mpi( &K, &K, &L ) );
if( mbedtls_mpi_cmp_int( &K, 0 ) != 0 )
{
ret = MBEDTLS_ERR_RSA_KEY_CHECK_FAILED;
goto cleanup;
}
}
cleanup:
mbedtls_mpi_free( &K );
mbedtls_mpi_free( &L );
/* Wrap MPI error codes by RSA check failure error code */
if( ret != 0 && ret != MBEDTLS_ERR_RSA_KEY_CHECK_FAILED )
{
ret += MBEDTLS_ERR_RSA_KEY_CHECK_FAILED;
}
return( ret );
}
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 )
{
int ret = 0;
mbedtls_mpi K;
mbedtls_mpi_init( &K );
/* DP = D mod P-1 */
if( DP != NULL )
{
MBEDTLS_MPI_CHK( mbedtls_mpi_sub_int( &K, P, 1 ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_mod_mpi( DP, D, &K ) );
}
/* DQ = D mod Q-1 */
if( DQ != NULL )
{
MBEDTLS_MPI_CHK( mbedtls_mpi_sub_int( &K, Q, 1 ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_mod_mpi( DQ, D, &K ) );
}
/* QP = Q^{-1} mod P */
if( QP != NULL )
{
MBEDTLS_MPI_CHK( mbedtls_mpi_inv_mod( QP, Q, P ) );
}
cleanup:
mbedtls_mpi_free( &K );
return( ret );
}
#endif /* MBEDTLS_RSA_C */

9
library/version_features.c
View File

@ -108,9 +108,6 @@ static const char *features[] = {
#if defined(MBEDTLS_GCM_ALT)
"MBEDTLS_GCM_ALT",
#endif /* MBEDTLS_GCM_ALT */
#if defined(MBEDTLS_XTEA_ALT)
"MBEDTLS_XTEA_ALT",
#endif /* MBEDTLS_XTEA_ALT */
#if defined(MBEDTLS_MD2_ALT)
"MBEDTLS_MD2_ALT",
#endif /* MBEDTLS_MD2_ALT */
@ -123,6 +120,9 @@ static const char *features[] = {
#if defined(MBEDTLS_RIPEMD160_ALT)
"MBEDTLS_RIPEMD160_ALT",
#endif /* MBEDTLS_RIPEMD160_ALT */
#if defined(MBEDTLS_RSA_ALT)
"MBEDTLS_RSA_ALT",
#endif /* MBEDTLS_RSA_ALT */
#if defined(MBEDTLS_SHA1_ALT)
"MBEDTLS_SHA1_ALT",
#endif /* MBEDTLS_SHA1_ALT */
@ -132,6 +132,9 @@ static const char *features[] = {
#if defined(MBEDTLS_SHA512_ALT)
"MBEDTLS_SHA512_ALT",
#endif /* MBEDTLS_SHA512_ALT */
#if defined(MBEDTLS_XTEA_ALT)
"MBEDTLS_XTEA_ALT",
#endif /* MBEDTLS_XTEA_ALT */
#if defined(MBEDTLS_ECP_ALT)
"MBEDTLS_ECP_ALT",
#endif /* MBEDTLS_ECP_ALT */

41
programs/pkey/dh_server.c
View File

@ -86,6 +86,8 @@ int main( void )
mbedtls_dhm_context dhm;
mbedtls_aes_context aes;
mbedtls_mpi N, P, Q, D, E;
mbedtls_net_init( &listen_fd );
mbedtls_net_init( &client_fd );
mbedtls_rsa_init( &rsa, MBEDTLS_RSA_PKCS_V15, MBEDTLS_MD_SHA256 );
@ -93,6 +95,9 @@ int main( void )
mbedtls_aes_init( &aes );
mbedtls_ctr_drbg_init( &ctr_drbg );
mbedtls_mpi_init( &N ); mbedtls_mpi_init( &P ); mbedtls_mpi_init( &Q );
mbedtls_mpi_init( &D ); mbedtls_mpi_init( &E );
/*
* 1. Setup the RNG
*/
@ -124,24 +129,33 @@ int main( void )
mbedtls_rsa_init( &rsa, MBEDTLS_RSA_PKCS_V15, 0 );
if( ( ret = mbedtls_mpi_read_file( &rsa.N , 16, f ) ) != 0 ||
( ret = mbedtls_mpi_read_file( &rsa.E , 16, f ) ) != 0 ||
( ret = mbedtls_mpi_read_file( &rsa.D , 16, f ) ) != 0 ||
( ret = mbedtls_mpi_read_file( &rsa.P , 16, f ) ) != 0 ||
( ret = mbedtls_mpi_read_file( &rsa.Q , 16, f ) ) != 0 ||
( ret = mbedtls_mpi_read_file( &rsa.DP, 16, f ) ) != 0 ||
( ret = mbedtls_mpi_read_file( &rsa.DQ, 16, f ) ) != 0 ||
( ret = mbedtls_mpi_read_file( &rsa.QP, 16, f ) ) != 0 )
if( ( ret = mbedtls_mpi_read_file( &N , 16, f ) ) != 0 ||
( ret = mbedtls_mpi_read_file( &E , 16, f ) ) != 0 ||
( ret = mbedtls_mpi_read_file( &D , 16, f ) ) != 0 ||
( ret = mbedtls_mpi_read_file( &P , 16, f ) ) != 0 ||
( ret = mbedtls_mpi_read_file( &Q , 16, f ) ) != 0 )
{
mbedtls_printf( " failed\n ! mbedtls_mpi_read_file returned %d\n\n", ret );
mbedtls_printf( " failed\n ! mbedtls_mpi_read_file returned %d\n\n",
ret );
fclose( f );
goto exit;
}
rsa.len = ( mbedtls_mpi_bitlen( &rsa.N ) + 7 ) >> 3;
fclose( f );
if( ( ret = mbedtls_rsa_import( &rsa, &N, &P, &Q, &D, &E ) ) != 0 )
{
mbedtls_printf( " failed\n ! mbedtls_rsa_import returned %d\n\n",
ret );
goto exit;
}
if( ( ret = mbedtls_rsa_complete( &rsa ) ) != 0 )
{
mbedtls_printf( " failed\n ! mbedtls_rsa_complete returned %d\n\n",
ret );
goto exit;
}
/*
* 2b. Get the DHM modulus and generator
*/
@ -287,6 +301,9 @@ int main( void )
exit:
mbedtls_mpi_free( &N ); mbedtls_mpi_free( &P ); mbedtls_mpi_free( &Q );
mbedtls_mpi_free( &D ); mbedtls_mpi_free( &E );
mbedtls_net_free( &client_fd );
mbedtls_net_free( &listen_fd );

35
programs/pkey/gen_key.c
View File

@ -191,6 +191,7 @@ int main( int argc, char *argv[] )
char buf[1024];
int i;
char *p, *q;
mbedtls_mpi N, P, Q, D, E, DP, DQ, QP;
mbedtls_entropy_context entropy;
mbedtls_ctr_drbg_context ctr_drbg;
const char *pers = "gen_key";
@ -201,6 +202,11 @@ int main( int argc, char *argv[] )
/*
* Set to sane values
*/
mbedtls_mpi_init( &N ); mbedtls_mpi_init( &P ); mbedtls_mpi_init( &Q );
mbedtls_mpi_init( &D ); mbedtls_mpi_init( &E ); mbedtls_mpi_init( &DP );
mbedtls_mpi_init( &DQ ); mbedtls_mpi_init( &QP );
mbedtls_pk_init( &key );
mbedtls_ctr_drbg_init( &ctr_drbg );
memset( buf, 0, sizeof( buf ) );
@ -359,14 +365,22 @@ int main( int argc, char *argv[] )
if( mbedtls_pk_get_type( &key ) == MBEDTLS_PK_RSA )
{
mbedtls_rsa_context *rsa = mbedtls_pk_rsa( key );
mbedtls_mpi_write_file( "N: ", &rsa->N, 16, NULL );
mbedtls_mpi_write_file( "E: ", &rsa->E, 16, NULL );
mbedtls_mpi_write_file( "D: ", &rsa->D, 16, NULL );
mbedtls_mpi_write_file( "P: ", &rsa->P, 16, NULL );
mbedtls_mpi_write_file( "Q: ", &rsa->Q, 16, NULL );
mbedtls_mpi_write_file( "DP: ", &rsa->DP, 16, NULL );
mbedtls_mpi_write_file( "DQ: ", &rsa->DQ, 16, NULL );
mbedtls_mpi_write_file( "QP: ", &rsa->QP, 16, NULL );
if( ( ret = mbedtls_rsa_export ( rsa, &N, &P, &Q, &D, &E ) ) != 0 ||
( ret = mbedtls_rsa_export_crt( rsa, &DP, &DQ, &QP ) ) != 0 )
{
mbedtls_printf( " failed\n ! could not export RSA parameters\n\n" );
goto exit;
}
mbedtls_mpi_write_file( "N: ", &N, 16, NULL );
mbedtls_mpi_write_file( "E: ", &E, 16, NULL );
mbedtls_mpi_write_file( "D: ", &D, 16, NULL );
mbedtls_mpi_write_file( "P: ", &P, 16, NULL );
mbedtls_mpi_write_file( "Q: ", &Q, 16, NULL );
mbedtls_mpi_write_file( "DP: ", &DP, 16, NULL );
mbedtls_mpi_write_file( "DQ: ", &DQ, 16, NULL );
mbedtls_mpi_write_file( "QP: ", &QP, 16, NULL );
}
else
#endif
@ -409,6 +423,10 @@ exit:
#endif
}
mbedtls_mpi_free( &N ); mbedtls_mpi_free( &P ); mbedtls_mpi_free( &Q );
mbedtls_mpi_free( &D ); mbedtls_mpi_free( &E ); mbedtls_mpi_free( &DP );
mbedtls_mpi_free( &DQ ); mbedtls_mpi_free( &QP );
mbedtls_pk_free( &key );
mbedtls_ctr_drbg_free( &ctr_drbg );
mbedtls_entropy_free( &entropy );
@ -422,4 +440,3 @@ exit:
}
#endif /* MBEDTLS_PK_WRITE_C && MBEDTLS_PEM_WRITE_C && MBEDTLS_FS_IO &&
* MBEDTLS_ENTROPY_C && MBEDTLS_CTR_DRBG_C */

49
programs/pkey/key_app.c
View File

@ -84,17 +84,23 @@ struct options
int main( int argc, char *argv[] )
{
int ret = 0;
mbedtls_pk_context pk;
char buf[1024];
int i;
char *p, *q;
mbedtls_pk_context pk;
mbedtls_mpi N, P, Q, D, E, DP, DQ, QP;
/*
* Set to sane values
*/
mbedtls_pk_init( &pk );
memset( buf, 0, sizeof(buf) );
mbedtls_mpi_init( &N ); mbedtls_mpi_init( &P ); mbedtls_mpi_init( &Q );
mbedtls_mpi_init( &D ); mbedtls_mpi_init( &E ); mbedtls_mpi_init( &DP );
mbedtls_mpi_init( &DQ ); mbedtls_mpi_init( &QP );
if( argc == 0 )
{
usage:
@ -189,14 +195,22 @@ int main( int argc, char *argv[] )
if( mbedtls_pk_get_type( &pk ) == MBEDTLS_PK_RSA )
{
mbedtls_rsa_context *rsa = mbedtls_pk_rsa( pk );
mbedtls_mpi_write_file( "N: ", &rsa->N, 16, NULL );
mbedtls_mpi_write_file( "E: ", &rsa->E, 16, NULL );
mbedtls_mpi_write_file( "D: ", &rsa->D, 16, NULL );
mbedtls_mpi_write_file( "P: ", &rsa->P, 16, NULL );
mbedtls_mpi_write_file( "Q: ", &rsa->Q, 16, NULL );
mbedtls_mpi_write_file( "DP: ", &rsa->DP, 16, NULL );
mbedtls_mpi_write_file( "DQ: ", &rsa->DQ, 16, NULL );
mbedtls_mpi_write_file( "QP: ", &rsa->QP, 16, NULL );
if( ( ret = mbedtls_rsa_export ( rsa, &N, &P, &Q, &D, &E ) ) != 0 ||
( ret = mbedtls_rsa_export_crt( rsa, &DP, &DQ, &QP ) ) != 0 )
{
mbedtls_printf( " failed\n ! could not export RSA parameters\n\n" );
goto exit;
}
mbedtls_mpi_write_file( "N: ", &N, 16, NULL );
mbedtls_mpi_write_file( "E: ", &E, 16, NULL );
mbedtls_mpi_write_file( "D: ", &D, 16, NULL );
mbedtls_mpi_write_file( "P: ", &P, 16, NULL );
mbedtls_mpi_write_file( "Q: ", &Q, 16, NULL );
mbedtls_mpi_write_file( "DP: ", &DP, 16, NULL );
mbedtls_mpi_write_file( "DQ: ", &DQ, 16, NULL );
mbedtls_mpi_write_file( "QP: ", &QP, 16, NULL );
}
else
#endif
@ -239,8 +253,15 @@ int main( int argc, char *argv[] )
if( mbedtls_pk_get_type( &pk ) == MBEDTLS_PK_RSA )
{
mbedtls_rsa_context *rsa = mbedtls_pk_rsa( pk );
mbedtls_mpi_write_file( "N: ", &rsa->N, 16, NULL );
mbedtls_mpi_write_file( "E: ", &rsa->E, 16, NULL );
if( ( ret = mbedtls_rsa_export( rsa, &N, NULL, NULL,
NULL, &E ) ) != 0 )
{
mbedtls_printf( " failed\n ! could not export RSA parameters\n\n" );
goto exit;
}
mbedtls_mpi_write_file( "N: ", &N, 16, NULL );
mbedtls_mpi_write_file( "E: ", &E, 16, NULL );
}
else
#endif
@ -265,11 +286,17 @@ int main( int argc, char *argv[] )
exit:
#if defined(MBEDTLS_ERROR_C)
if( ret != 0 )
{
mbedtls_strerror( ret, buf, sizeof(buf) );
mbedtls_printf( " ! Last error was: %s\n", buf );
}
#endif
mbedtls_pk_free( &pk );
mbedtls_mpi_free( &N ); mbedtls_mpi_free( &P ); mbedtls_mpi_free( &Q );
mbedtls_mpi_free( &D ); mbedtls_mpi_free( &E ); mbedtls_mpi_free( &DP );
mbedtls_mpi_free( &DQ ); mbedtls_mpi_free( &QP );
#if defined(_WIN32)
mbedtls_printf( " + Press Enter to exit this program.\n" );

49
programs/pkey/key_app_writer.c
View File

@ -76,7 +76,7 @@
#define OUTPUT_FORMAT_DER 1
#define USAGE \
"\n usage: key_app param=<>...\n" \
"\n usage: key_app_writer param=<>...\n" \
"\n acceptable parameters:\n" \
" mode=private|public default: none\n" \
" filename=%%s default: keyfile.key\n" \
@ -190,17 +190,23 @@ static int write_private_key( mbedtls_pk_context *key, const char *output_file )
int main( int argc, char *argv[] )
{
int ret = 0;
mbedtls_pk_context key;
char buf[1024];
int i;
char *p, *q;
mbedtls_pk_context key;
mbedtls_mpi N, P, Q, D, E, DP, DQ, QP;
/*
* Set to sane values
*/
mbedtls_pk_init( &key );
memset( buf, 0, sizeof( buf ) );
mbedtls_mpi_init( &N ); mbedtls_mpi_init( &P ); mbedtls_mpi_init( &Q );
mbedtls_mpi_init( &D ); mbedtls_mpi_init( &E ); mbedtls_mpi_init( &DP );
mbedtls_mpi_init( &DQ ); mbedtls_mpi_init( &QP );
if( argc == 0 )
{
usage:
@ -300,14 +306,22 @@ int main( int argc, char *argv[] )
if( mbedtls_pk_get_type( &key ) == MBEDTLS_PK_RSA )
{
mbedtls_rsa_context *rsa = mbedtls_pk_rsa( key );
mbedtls_mpi_write_file( "N: ", &rsa->N, 16, NULL );
mbedtls_mpi_write_file( "E: ", &rsa->E, 16, NULL );
mbedtls_mpi_write_file( "D: ", &rsa->D, 16, NULL );
mbedtls_mpi_write_file( "P: ", &rsa->P, 16, NULL );
mbedtls_mpi_write_file( "Q: ", &rsa->Q, 16, NULL );
mbedtls_mpi_write_file( "DP: ", &rsa->DP, 16, NULL );
mbedtls_mpi_write_file( "DQ: ", &rsa->DQ, 16, NULL );
mbedtls_mpi_write_file( "QP: ", &rsa->QP, 16, NULL );
if( ( ret = mbedtls_rsa_export ( rsa, &N, &P, &Q, &D, &E ) ) != 0 ||
( ret = mbedtls_rsa_export_crt( rsa, &DP, &DQ, &QP ) ) != 0 )
{
mbedtls_printf( " failed\n ! could not export RSA parameters\n\n" );
goto exit;
}
mbedtls_mpi_write_file( "N: ", &N, 16, NULL );
mbedtls_mpi_write_file( "E: ", &E, 16, NULL );
mbedtls_mpi_write_file( "D: ", &D, 16, NULL );
mbedtls_mpi_write_file( "P: ", &P, 16, NULL );
mbedtls_mpi_write_file( "Q: ", &Q, 16, NULL );
mbedtls_mpi_write_file( "DP: ", &DP, 16, NULL );
mbedtls_mpi_write_file( "DQ: ", &DQ, 16, NULL );
mbedtls_mpi_write_file( "QP: ", &QP, 16, NULL );
}
else
#endif
@ -353,8 +367,15 @@ int main( int argc, char *argv[] )
if( mbedtls_pk_get_type( &key ) == MBEDTLS_PK_RSA )
{
mbedtls_rsa_context *rsa = mbedtls_pk_rsa( key );
mbedtls_mpi_write_file( "N: ", &rsa->N, 16, NULL );
mbedtls_mpi_write_file( "E: ", &rsa->E, 16, NULL );
if( ( ret = mbedtls_rsa_export( rsa, &N, NULL, NULL,
NULL, &E ) ) != 0 )
{
mbedtls_printf( " failed\n ! could not export RSA parameters\n\n" );
goto exit;
}
mbedtls_mpi_write_file( "N: ", &N, 16, NULL );
mbedtls_mpi_write_file( "E: ", &E, 16, NULL );
}
else
#endif
@ -394,6 +415,10 @@ exit:
#endif
}
mbedtls_mpi_free( &N ); mbedtls_mpi_free( &P ); mbedtls_mpi_free( &Q );
mbedtls_mpi_free( &D ); mbedtls_mpi_free( &E ); mbedtls_mpi_free( &DP );
mbedtls_mpi_free( &DQ ); mbedtls_mpi_free( &QP );
mbedtls_pk_free( &key );
#if defined(_WIN32)

41
programs/pkey/rsa_decrypt.c
View File

@ -64,6 +64,7 @@ int main( int argc, char *argv[] )
int return_val, exit_val, c;
size_t i;
mbedtls_rsa_context rsa;
mbedtls_mpi N, P, Q, D, E, DP, DQ, QP;
mbedtls_entropy_context entropy;
mbedtls_ctr_drbg_context ctr_drbg;
unsigned char result[1024];
@ -91,6 +92,9 @@ int main( int argc, char *argv[] )
mbedtls_rsa_init( &rsa, MBEDTLS_RSA_PKCS_V15, 0 );
mbedtls_ctr_drbg_init( &ctr_drbg );
mbedtls_entropy_init( &entropy );
mbedtls_mpi_init( &N ); mbedtls_mpi_init( &P ); mbedtls_mpi_init( &Q );
mbedtls_mpi_init( &D ); mbedtls_mpi_init( &E ); mbedtls_mpi_init( &DP );
mbedtls_mpi_init( &DQ ); mbedtls_mpi_init( &QP );
return_val = mbedtls_ctr_drbg_seed( &ctr_drbg, mbedtls_entropy_func,
&entropy, (const unsigned char *) pers,
@ -114,14 +118,14 @@ int main( int argc, char *argv[] )
goto exit;
}
if( ( return_val = mbedtls_mpi_read_file( &rsa.N , 16, f ) ) != 0 ||
( return_val = mbedtls_mpi_read_file( &rsa.E , 16, f ) ) != 0 ||
( return_val = mbedtls_mpi_read_file( &rsa.D , 16, f ) ) != 0 ||
( return_val = mbedtls_mpi_read_file( &rsa.P , 16, f ) ) != 0 ||
( return_val = mbedtls_mpi_read_file( &rsa.Q , 16, f ) ) != 0 ||
( return_val = mbedtls_mpi_read_file( &rsa.DP, 16, f ) ) != 0 ||
( return_val = mbedtls_mpi_read_file( &rsa.DQ, 16, f ) ) != 0 ||
( return_val = mbedtls_mpi_read_file( &rsa.QP, 16, f ) ) != 0 )
if( ( return_val = mbedtls_mpi_read_file( &N , 16, f ) ) != 0 ||
( return_val = mbedtls_mpi_read_file( &E , 16, f ) ) != 0 ||
( return_val = mbedtls_mpi_read_file( &D , 16, f ) ) != 0 ||
( return_val = mbedtls_mpi_read_file( &P , 16, f ) ) != 0 ||
( return_val = mbedtls_mpi_read_file( &Q , 16, f ) ) != 0 ||
( return_val = mbedtls_mpi_read_file( &DP , 16, f ) ) != 0 ||
( return_val = mbedtls_mpi_read_file( &DQ , 16, f ) ) != 0 ||
( return_val = mbedtls_mpi_read_file( &QP , 16, f ) ) != 0 )
{
exit_val = MBEDTLS_EXIT_FAILURE;
mbedtls_printf( " failed\n ! mbedtls_mpi_read_file returned %d\n\n",
@ -129,11 +133,22 @@ int main( int argc, char *argv[] )
fclose( f );
goto exit;
}
rsa.len = ( mbedtls_mpi_bitlen( &rsa.N ) + 7 ) >> 3;
fclose( f );
if( ( return_val = mbedtls_rsa_import( &rsa, &N, &P, &Q, &D, &E ) ) != 0 )
{
mbedtls_printf( " failed\n ! mbedtls_rsa_import returned %d\n\n",
return_val );
goto exit;
}
if( ( return_val = mbedtls_rsa_complete( &rsa ) ) != 0 )
{
mbedtls_printf( " failed\n ! mbedtls_rsa_complete returned %d\n\n",
return_val );
goto exit;
}
/*
* Extract the RSA encrypted value from the text file
*/
@ -184,6 +199,9 @@ exit:
mbedtls_ctr_drbg_free( &ctr_drbg );
mbedtls_entropy_free( &entropy );
mbedtls_rsa_free( &rsa );
mbedtls_mpi_free( &N ); mbedtls_mpi_free( &P ); mbedtls_mpi_free( &Q );
mbedtls_mpi_free( &D ); mbedtls_mpi_free( &E ); mbedtls_mpi_free( &DP );
mbedtls_mpi_free( &DQ ); mbedtls_mpi_free( &QP );
#if defined(_WIN32)
mbedtls_printf( " + Press Enter to exit this program.\n" );
@ -193,4 +211,3 @@ exit:
return( exit_val );
}
#endif /* MBEDTLS_BIGNUM_C && MBEDTLS_RSA_C && MBEDTLS_FS_IO */

19
programs/pkey/rsa_encrypt.c
View File

@ -69,6 +69,7 @@ int main( int argc, char *argv[] )
unsigned char input[1024];
unsigned char buf[512];
const char *pers = "rsa_encrypt";
mbedtls_mpi N, E;
exit_val = MBEDTLS_EXIT_SUCCESS;
@ -86,6 +87,7 @@ int main( int argc, char *argv[] )
mbedtls_printf( "\n . Seeding the random number generator..." );
fflush( stdout );
mbedtls_mpi_init( &N ); mbedtls_mpi_init( &E );
mbedtls_rsa_init( &rsa, MBEDTLS_RSA_PKCS_V15, 0 );
mbedtls_ctr_drbg_init( &ctr_drbg );
mbedtls_entropy_init( &entropy );
@ -112,8 +114,8 @@ int main( int argc, char *argv[] )
goto exit;
}
if( ( return_val = mbedtls_mpi_read_file( &rsa.N, 16, f ) ) != 0 ||
( return_val = mbedtls_mpi_read_file( &rsa.E, 16, f ) ) != 0 )
if( ( return_val = mbedtls_mpi_read_file( &N, 16, f ) ) != 0 ||
( return_val = mbedtls_mpi_read_file( &E, 16, f ) ) != 0 )
{
exit_val = MBEDTLS_EXIT_FAILURE;
mbedtls_printf( " failed\n ! mbedtls_mpi_read_file returned %d\n\n",
@ -121,11 +123,17 @@ int main( int argc, char *argv[] )
fclose( f );
goto exit;
}
rsa.len = ( mbedtls_mpi_bitlen( &rsa.N ) + 7 ) >> 3;
fclose( f );
if( ( return_val = mbedtls_rsa_import( &rsa, &N, NULL,
NULL, NULL, &E ) ) != 0 )
{
exit_val = MBEDTLS_EXIT_FAILURE;
mbedtls_printf( " failed\n ! mbedtls_rsa_import returned %d\n\n",
return_val );
goto exit;
}
if( strlen( argv[1] ) > 100 )
{
exit_val = MBEDTLS_EXIT_FAILURE;
@ -171,6 +179,7 @@ int main( int argc, char *argv[] )
mbedtls_printf( "\n . Done (created \"%s\")\n\n", "result-enc.txt" );
exit:
mbedtls_mpi_free( &N ); mbedtls_mpi_free( &E );
mbedtls_ctr_drbg_free( &ctr_drbg );
mbedtls_entropy_free( &entropy );
mbedtls_rsa_free( &rsa );

35
programs/pkey/rsa_genkey.c
View File

@ -65,6 +65,7 @@ int main( void )
mbedtls_rsa_context rsa;
mbedtls_entropy_context entropy;
mbedtls_ctr_drbg_context ctr_drbg;
mbedtls_mpi N, P, Q, D, E, DP, DQ, QP;
FILE *fpub = NULL;
FILE *fpriv = NULL;
const char *pers = "rsa_genkey";
@ -87,6 +88,9 @@ int main( void )
fflush( stdout );
mbedtls_rsa_init( &rsa, MBEDTLS_RSA_PKCS_V15, 0 );
mbedtls_mpi_init( &N ); mbedtls_mpi_init( &P ); mbedtls_mpi_init( &Q );
mbedtls_mpi_init( &D ); mbedtls_mpi_init( &E ); mbedtls_mpi_init( &DP );
mbedtls_mpi_init( &DQ ); mbedtls_mpi_init( &QP );
if( ( ret = mbedtls_rsa_gen_key( &rsa, mbedtls_ctr_drbg_random, &ctr_drbg, KEY_SIZE,
EXPONENT ) ) != 0 )
@ -98,6 +102,14 @@ int main( void )
mbedtls_printf( " ok\n . Exporting the public key in rsa_pub.txt...." );
fflush( stdout );
if( ( ret = mbedtls_rsa_export ( &rsa, &N, &P, &Q, &D, &E ) ) != 0 ||
( ret = mbedtls_rsa_export_crt( &rsa, &DP, &DQ, &QP ) ) != 0 )
{
mbedtls_printf( " failed\n ! could not export RSA parameters\n\n" );
ret = 1;
goto exit;
}
if( ( fpub = fopen( "rsa_pub.txt", "wb+" ) ) == NULL )
{
mbedtls_printf( " failed\n ! could not open rsa_pub.txt for writing\n\n" );
@ -105,8 +117,8 @@ int main( void )
goto exit;
}
if( ( ret = mbedtls_mpi_write_file( "N = ", &rsa.N, 16, fpub ) ) != 0 ||
( ret = mbedtls_mpi_write_file( "E = ", &rsa.E, 16, fpub ) ) != 0 )
if( ( ret = mbedtls_mpi_write_file( "N = ", &N, 16, fpub ) ) != 0 ||
( ret = mbedtls_mpi_write_file( "E = ", &E, 16, fpub ) ) != 0 )
{
mbedtls_printf( " failed\n ! mbedtls_mpi_write_file returned %d\n\n", ret );
goto exit;
@ -122,14 +134,14 @@ int main( void )
goto exit;
}
if( ( ret = mbedtls_mpi_write_file( "N = " , &rsa.N , 16, fpriv ) ) != 0 ||
( ret = mbedtls_mpi_write_file( "E = " , &rsa.E , 16, fpriv ) ) != 0 ||
( ret = mbedtls_mpi_write_file( "D = " , &rsa.D , 16, fpriv ) ) != 0 ||
( ret = mbedtls_mpi_write_file( "P = " , &rsa.P , 16, fpriv ) ) != 0 ||
( ret = mbedtls_mpi_write_file( "Q = " , &rsa.Q , 16, fpriv ) ) != 0 ||
( ret = mbedtls_mpi_write_file( "DP = ", &rsa.DP, 16, fpriv ) ) != 0 ||
( ret = mbedtls_mpi_write_file( "DQ = ", &rsa.DQ, 16, fpriv ) ) != 0 ||
( ret = mbedtls_mpi_write_file( "QP = ", &rsa.QP, 16, fpriv ) ) != 0 )
if( ( ret = mbedtls_mpi_write_file( "N = " , &N , 16, fpriv ) ) != 0 ||
( ret = mbedtls_mpi_write_file( "E = " , &E , 16, fpriv ) ) != 0 ||
( ret = mbedtls_mpi_write_file( "D = " , &D , 16, fpriv ) ) != 0 ||
( ret = mbedtls_mpi_write_file( "P = " , &P , 16, fpriv ) ) != 0 ||
( ret = mbedtls_mpi_write_file( "Q = " , &Q , 16, fpriv ) ) != 0 ||
( ret = mbedtls_mpi_write_file( "DP = ", &DP, 16, fpriv ) ) != 0 ||
( ret = mbedtls_mpi_write_file( "DQ = ", &DQ, 16, fpriv ) ) != 0 ||
( ret = mbedtls_mpi_write_file( "QP = ", &QP, 16, fpriv ) ) != 0 )
{
mbedtls_printf( " failed\n ! mbedtls_mpi_write_file returned %d\n\n", ret );
goto exit;
@ -157,6 +169,9 @@ exit:
if( fpriv != NULL )
fclose( fpriv );
mbedtls_mpi_free( &N ); mbedtls_mpi_free( &P ); mbedtls_mpi_free( &Q );
mbedtls_mpi_free( &D ); mbedtls_mpi_free( &E ); mbedtls_mpi_free( &DP );
mbedtls_mpi_free( &DQ ); mbedtls_mpi_free( &QP );
mbedtls_rsa_free( &rsa );
mbedtls_ctr_drbg_free( &ctr_drbg );
mbedtls_entropy_free( &entropy );

42
programs/pkey/rsa_sign.c
View File

@ -61,8 +61,14 @@ int main( int argc, char *argv[] )
unsigned char hash[32];
unsigned char buf[MBEDTLS_MPI_MAX_SIZE];
char filename[512];
mbedtls_mpi N, P, Q, D, E, DP, DQ, QP;
mbedtls_rsa_init( &rsa, MBEDTLS_RSA_PKCS_V15, 0 );
mbedtls_mpi_init( &N ); mbedtls_mpi_init( &P ); mbedtls_mpi_init( &Q );
mbedtls_mpi_init( &D ); mbedtls_mpi_init( &E ); mbedtls_mpi_init( &DP );
mbedtls_mpi_init( &DQ ); mbedtls_mpi_init( &QP );
ret = 1;
if( argc != 2 )
@ -87,24 +93,35 @@ int main( int argc, char *argv[] )
goto exit;
}
if( ( ret = mbedtls_mpi_read_file( &rsa.N , 16, f ) ) != 0 ||
( ret = mbedtls_mpi_read_file( &rsa.E , 16, f ) ) != 0 ||
( ret = mbedtls_mpi_read_file( &rsa.D , 16, f ) ) != 0 ||
( ret = mbedtls_mpi_read_file( &rsa.P , 16, f ) ) != 0 ||
( ret = mbedtls_mpi_read_file( &rsa.Q , 16, f ) ) != 0 ||
( ret = mbedtls_mpi_read_file( &rsa.DP, 16, f ) ) != 0 ||
( ret = mbedtls_mpi_read_file( &rsa.DQ, 16, f ) ) != 0 ||
( ret = mbedtls_mpi_read_file( &rsa.QP, 16, f ) ) != 0 )
if( ( ret = mbedtls_mpi_read_file( &N , 16, f ) ) != 0 ||
( ret = mbedtls_mpi_read_file( &E , 16, f ) ) != 0 ||
( ret = mbedtls_mpi_read_file( &D , 16, f ) ) != 0 ||
( ret = mbedtls_mpi_read_file( &P , 16, f ) ) != 0 ||
( ret = mbedtls_mpi_read_file( &Q , 16, f ) ) != 0 ||
( ret = mbedtls_mpi_read_file( &DP , 16, f ) ) != 0 ||
( ret = mbedtls_mpi_read_file( &DQ , 16, f ) ) != 0 ||
( ret = mbedtls_mpi_read_file( &QP , 16, f ) ) != 0 )
{
mbedtls_printf( " failed\n ! mbedtls_mpi_read_file returned %d\n\n", ret );
fclose( f );
goto exit;
}
rsa.len = ( mbedtls_mpi_bitlen( &rsa.N ) + 7 ) >> 3;
fclose( f );
if( ( ret = mbedtls_rsa_import( &rsa, &N, &P, &Q, &D, &E ) ) != 0 )
{
mbedtls_printf( " failed\n ! mbedtls_rsa_import returned %d\n\n",
ret );
goto exit;
}
if( ( ret = mbedtls_rsa_complete( &rsa ) ) != 0 )
{
mbedtls_printf( " failed\n ! mbedtls_rsa_complete returned %d\n\n",
ret );
goto exit;
}
mbedtls_printf( "\n . Checking the private key" );
fflush( stdout );
if( ( ret = mbedtls_rsa_check_privkey( &rsa ) ) != 0 )
@ -158,6 +175,9 @@ int main( int argc, char *argv[] )
exit:
mbedtls_rsa_free( &rsa );
mbedtls_mpi_free( &N ); mbedtls_mpi_free( &P ); mbedtls_mpi_free( &Q );
mbedtls_mpi_free( &D ); mbedtls_mpi_free( &E ); mbedtls_mpi_free( &DP );
mbedtls_mpi_free( &DQ ); mbedtls_mpi_free( &QP );
#if defined(_WIN32)
mbedtls_printf( " + Press Enter to exit this program.\n" );

12
tests/scripts/all.sh
View File

@ -605,7 +605,7 @@ cleanup
cp "$CONFIG_H" "$CONFIG_BAK"
scripts/config.pl full
scripts/config.pl unset MBEDTLS_SSL_CLI_C
make CC=gcc CFLAGS='-Werror -Wall -Werror -O0'
make CC=gcc CFLAGS='-Werror -Wall -Wextra -O0'
# Note, C99 compliance can also be tested with the sockets support disabled,
# as that requires a POSIX platform (which isn't the same as C99).
@ -767,6 +767,16 @@ msg "test: allow SHA1 in certificates by default"
make test
if_build_succeeded tests/ssl-opt.sh -f SHA-1
msg "build: Default + MBEDTLS_RSA_NO_CRT (ASan build)" # ~ 6 min
cleanup
cp "$CONFIG_H" "$CONFIG_BAK"
scripts/config.pl set MBEDTLS_RSA_NO_CRT
CC=gcc cmake -D CMAKE_BUILD_TYPE:String=Asan .
make
msg "test: MBEDTLS_RSA_NO_CRT - main suites (inc. selftests) (ASan build)"
make test
msg "build: Windows cross build - mingw64, make (Link Library)" # ~ 30s
cleanup
make CC=i686-w64-mingw32-gcc AR=i686-w64-mingw32-ar LD=i686-w64-minggw32-ld CFLAGS='-Werror -Wall -Wextra' WINDOWS_BUILD=1 lib programs

28
tests/suites/test_suite_pk.function
View File

@ -333,12 +333,13 @@ void pk_rsa_decrypt_test_vec( char *cipher_hex, int mod,
unsigned char cipher[1000];
size_t clear_len, olen, cipher_len;
rnd_pseudo_info rnd_info;
mbedtls_mpi P1, Q1, H, G;
mbedtls_mpi N, P, Q, E;
mbedtls_rsa_context *rsa;
mbedtls_pk_context pk;
mbedtls_pk_init( &pk );
mbedtls_mpi_init( &P1 ); mbedtls_mpi_init( &Q1 ); mbedtls_mpi_init( &H ); mbedtls_mpi_init( &G );
mbedtls_mpi_init( &N ); mbedtls_mpi_init( &P );
mbedtls_mpi_init( &Q ); mbedtls_mpi_init( &E );
memset( &rnd_info, 0, sizeof( rnd_pseudo_info ) );
memset( clear, 0, sizeof( clear ) );
@ -352,21 +353,15 @@ void pk_rsa_decrypt_test_vec( char *cipher_hex, int mod,
rsa = mbedtls_pk_rsa( pk );
/* load public key */
rsa->len = mod / 8;
TEST_ASSERT( mbedtls_mpi_read_string( &rsa->N, radix_N, input_N ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &rsa->E, radix_E, input_E ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &N, radix_N, input_N ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &E, radix_E, input_E ) == 0 );
/* load private key */
TEST_ASSERT( mbedtls_mpi_read_string( &rsa->P, radix_P, input_P ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &rsa->Q, radix_Q, input_Q ) == 0 );
TEST_ASSERT( mbedtls_mpi_sub_int( &P1, &rsa->P, 1 ) == 0 );
TEST_ASSERT( mbedtls_mpi_sub_int( &Q1, &rsa->Q, 1 ) == 0 );
TEST_ASSERT( mbedtls_mpi_mul_mpi( &H, &P1, &Q1 ) == 0 );
TEST_ASSERT( mbedtls_mpi_gcd( &G, &rsa->E, &H ) == 0 );
TEST_ASSERT( mbedtls_mpi_inv_mod( &rsa->D , &rsa->E, &H ) == 0 );
TEST_ASSERT( mbedtls_mpi_mod_mpi( &rsa->DP, &rsa->D, &P1 ) == 0 );
TEST_ASSERT( mbedtls_mpi_mod_mpi( &rsa->DQ, &rsa->D, &Q1 ) == 0 );
TEST_ASSERT( mbedtls_mpi_inv_mod( &rsa->QP, &rsa->Q, &rsa->P ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &P, radix_P, input_P ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &Q, radix_Q, input_Q ) == 0 );
TEST_ASSERT( mbedtls_rsa_import( rsa, &N, &P, &Q, NULL, &E ) == 0 );
TEST_ASSERT( mbedtls_rsa_get_len( rsa ) == (size_t) ( mod / 8 ) );
TEST_ASSERT( mbedtls_rsa_complete( rsa ) == 0 );
/* decryption test */
memset( output, 0, sizeof( output ) );
@ -381,7 +376,8 @@ void pk_rsa_decrypt_test_vec( char *cipher_hex, int mod,
}
exit:
mbedtls_mpi_free( &P1 ); mbedtls_mpi_free( &Q1 ); mbedtls_mpi_free( &H ); mbedtls_mpi_free( &G );
mbedtls_mpi_free( &N ); mbedtls_mpi_free( &P );
mbedtls_mpi_free( &Q ); mbedtls_mpi_free( &E );
mbedtls_pk_free( &pk );
}
/* END_CASE */

87
tests/suites/test_suite_pkcs1_v15.function
View File

@ -21,19 +21,21 @@ void pkcs1_rsaes_v15_encrypt( int mod, int radix_N, char *input_N, int radix_E,
mbedtls_rsa_context ctx;
size_t msg_len;
rnd_buf_info info;
mbedtls_mpi N, E;
info.length = unhexify( rnd_buf, seed );
info.buf = rnd_buf;
mbedtls_mpi_init( &N ); mbedtls_mpi_init( &E );
mbedtls_rsa_init( &ctx, MBEDTLS_RSA_PKCS_V15, hash );
memset( message_str, 0x00, 1000 );
memset( output, 0x00, 1000 );
memset( output_str, 0x00, 1000 );
ctx.len = mod / 8 + ( ( mod % 8 ) ? 1 : 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &ctx.N, radix_N, input_N ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &ctx.E, radix_E, input_E ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &N, radix_N, input_N ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &E, radix_E, input_E ) == 0 );
TEST_ASSERT( mbedtls_rsa_import( &ctx, &N, NULL, NULL, NULL, &E ) == 0 );
TEST_ASSERT( mbedtls_rsa_get_len( &ctx ) == (size_t) ( ( mod + 7 ) / 8 ) );
TEST_ASSERT( mbedtls_rsa_check_pubkey( &ctx ) == 0 );
msg_len = unhexify( message_str, message_hex_string );
@ -47,6 +49,7 @@ void pkcs1_rsaes_v15_encrypt( int mod, int radix_N, char *input_N, int radix_E,
}
exit:
mbedtls_mpi_free( &N ); mbedtls_mpi_free( &E );
mbedtls_rsa_free( &ctx );
}
/* END_CASE */
@ -62,12 +65,13 @@ void pkcs1_rsaes_v15_decrypt( int mod, int radix_P, char *input_P,
unsigned char output[1000];
unsigned char output_str[1000];
mbedtls_rsa_context ctx;
mbedtls_mpi P1, Q1, H, G;
size_t output_len;
rnd_pseudo_info rnd_info;
mbedtls_mpi N, P, Q, E;
((void) seed);
mbedtls_mpi_init( &P1 ); mbedtls_mpi_init( &Q1 ); mbedtls_mpi_init( &H ); mbedtls_mpi_init( &G );
mbedtls_mpi_init( &N ); mbedtls_mpi_init( &P );
mbedtls_mpi_init( &Q ); mbedtls_mpi_init( &E );
mbedtls_rsa_init( &ctx, MBEDTLS_RSA_PKCS_V15, hash );
memset( message_str, 0x00, 1000 );
@ -75,21 +79,14 @@ void pkcs1_rsaes_v15_decrypt( int mod, int radix_P, char *input_P,
memset( output_str, 0x00, 1000 );
memset( &rnd_info, 0, sizeof( rnd_pseudo_info ) );
ctx.len = mod / 8 + ( ( mod % 8 ) ? 1 : 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &ctx.P, radix_P, input_P ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &ctx.Q, radix_Q, input_Q ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &ctx.N, radix_N, input_N ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &ctx.E, radix_E, input_E ) == 0 );
TEST_ASSERT( mbedtls_mpi_sub_int( &P1, &ctx.P, 1 ) == 0 );
TEST_ASSERT( mbedtls_mpi_sub_int( &Q1, &ctx.Q, 1 ) == 0 );
TEST_ASSERT( mbedtls_mpi_mul_mpi( &H, &P1, &Q1 ) == 0 );
TEST_ASSERT( mbedtls_mpi_gcd( &G, &ctx.E, &H ) == 0 );
TEST_ASSERT( mbedtls_mpi_inv_mod( &ctx.D , &ctx.E, &H ) == 0 );
TEST_ASSERT( mbedtls_mpi_mod_mpi( &ctx.DP, &ctx.D, &P1 ) == 0 );
TEST_ASSERT( mbedtls_mpi_mod_mpi( &ctx.DQ, &ctx.D, &Q1 ) == 0 );
TEST_ASSERT( mbedtls_mpi_inv_mod( &ctx.QP, &ctx.Q, &ctx.P ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &P, radix_P, input_P ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &Q, radix_Q, input_Q ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &N, radix_N, input_N ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &E, radix_E, input_E ) == 0 );
TEST_ASSERT( mbedtls_rsa_import( &ctx, &N, &P, &Q, NULL, &E ) == 0 );
TEST_ASSERT( mbedtls_rsa_get_len( &ctx ) == (size_t) ( ( mod + 7 ) / 8 ) );
TEST_ASSERT( mbedtls_rsa_complete( &ctx ) == 0 );
TEST_ASSERT( mbedtls_rsa_check_privkey( &ctx ) == 0 );
unhexify( message_str, message_hex_string );
@ -103,7 +100,8 @@ void pkcs1_rsaes_v15_decrypt( int mod, int radix_P, char *input_P,
}
exit:
mbedtls_mpi_free( &P1 ); mbedtls_mpi_free( &Q1 ); mbedtls_mpi_free( &H ); mbedtls_mpi_free( &G );
mbedtls_mpi_free( &N ); mbedtls_mpi_free( &P );
mbedtls_mpi_free( &Q ); mbedtls_mpi_free( &E );
mbedtls_rsa_free( &ctx );
}
/* END_CASE */
@ -121,14 +119,15 @@ void pkcs1_rsassa_v15_sign( int mod, int radix_P, char *input_P, int radix_Q,
unsigned char output_str[1000];
unsigned char rnd_buf[1000];
mbedtls_rsa_context ctx;
mbedtls_mpi P1, Q1, H, G;
mbedtls_mpi N, P, Q, E;
size_t msg_len;
rnd_buf_info info;
info.length = unhexify( rnd_buf, salt );
info.buf = rnd_buf;
mbedtls_mpi_init( &P1 ); mbedtls_mpi_init( &Q1 ); mbedtls_mpi_init( &H ); mbedtls_mpi_init( &G );
mbedtls_mpi_init( &N ); mbedtls_mpi_init( &P );
mbedtls_mpi_init( &Q ); mbedtls_mpi_init( &E );
mbedtls_rsa_init( &ctx, MBEDTLS_RSA_PKCS_V15, hash );
memset( message_str, 0x00, 1000 );
@ -136,21 +135,14 @@ void pkcs1_rsassa_v15_sign( int mod, int radix_P, char *input_P, int radix_Q,
memset( output, 0x00, 1000 );
memset( output_str, 0x00, 1000 );
ctx.len = mod / 8 + ( ( mod % 8 ) ? 1 : 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &ctx.P, radix_P, input_P ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &ctx.Q, radix_Q, input_Q ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &ctx.N, radix_N, input_N ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &ctx.E, radix_E, input_E ) == 0 );
TEST_ASSERT( mbedtls_mpi_sub_int( &P1, &ctx.P, 1 ) == 0 );
TEST_ASSERT( mbedtls_mpi_sub_int( &Q1, &ctx.Q, 1 ) == 0 );
TEST_ASSERT( mbedtls_mpi_mul_mpi( &H, &P1, &Q1 ) == 0 );
TEST_ASSERT( mbedtls_mpi_gcd( &G, &ctx.E, &H ) == 0 );
TEST_ASSERT( mbedtls_mpi_inv_mod( &ctx.D , &ctx.E, &H ) == 0 );
TEST_ASSERT( mbedtls_mpi_mod_mpi( &ctx.DP, &ctx.D, &P1 ) == 0 );
TEST_ASSERT( mbedtls_mpi_mod_mpi( &ctx.DQ, &ctx.D, &Q1 ) == 0 );
TEST_ASSERT( mbedtls_mpi_inv_mod( &ctx.QP, &ctx.Q, &ctx.P ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &P, radix_P, input_P ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &Q, radix_Q, input_Q ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &N, radix_N, input_N ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &E, radix_E, input_E ) == 0 );
TEST_ASSERT( mbedtls_rsa_import( &ctx, &N, &P, &Q, NULL, &E ) == 0 );
TEST_ASSERT( mbedtls_rsa_get_len( &ctx ) == (size_t) ( ( mod + 7 ) / 8 ) );
TEST_ASSERT( mbedtls_rsa_complete( &ctx ) == 0 );
TEST_ASSERT( mbedtls_rsa_check_privkey( &ctx ) == 0 );
msg_len = unhexify( message_str, message_hex_string );
@ -167,7 +159,8 @@ void pkcs1_rsassa_v15_sign( int mod, int radix_P, char *input_P, int radix_Q,
}
exit:
mbedtls_mpi_free( &P1 ); mbedtls_mpi_free( &Q1 ); mbedtls_mpi_free( &H ); mbedtls_mpi_free( &G );
mbedtls_mpi_free( &N ); mbedtls_mpi_free( &P );
mbedtls_mpi_free( &Q ); mbedtls_mpi_free( &E );
mbedtls_rsa_free( &ctx );
}
/* END_CASE */
@ -183,28 +176,34 @@ void pkcs1_rsassa_v15_verify( int mod, int radix_N, char *input_N, int radix_E,
unsigned char result_str[1000];
mbedtls_rsa_context ctx;
size_t msg_len;
mbedtls_mpi N, E;
((void) salt);
mbedtls_mpi_init( &N ); mbedtls_mpi_init( &E );
mbedtls_rsa_init( &ctx, MBEDTLS_RSA_PKCS_V15, hash );
memset( message_str, 0x00, 1000 );
memset( hash_result, 0x00, 1000 );
memset( result_str, 0x00, 1000 );
ctx.len = mod / 8 + ( ( mod % 8 ) ? 1 : 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &ctx.N, radix_N, input_N ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &ctx.E, radix_E, input_E ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &N, radix_N, input_N ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &E, radix_E, input_E ) == 0 );
TEST_ASSERT( mbedtls_rsa_import( &ctx, &N, NULL, NULL, NULL, &E ) == 0 );
TEST_ASSERT( mbedtls_rsa_get_len( &ctx ) == (size_t) ( ( mod + 7 ) / 8 ) );
TEST_ASSERT( mbedtls_rsa_check_pubkey( &ctx ) == 0 );
msg_len = unhexify( message_str, message_hex_string );
unhexify( result_str, result_hex_str );
if( mbedtls_md_info_from_type( digest ) != NULL )
TEST_ASSERT( mbedtls_md( mbedtls_md_info_from_type( digest ), message_str, msg_len, hash_result ) == 0 );
TEST_ASSERT( mbedtls_md( mbedtls_md_info_from_type( digest ),
message_str, msg_len, hash_result ) == 0 );
TEST_ASSERT( mbedtls_rsa_pkcs1_verify( &ctx, NULL, NULL, MBEDTLS_RSA_PUBLIC, digest, 0, hash_result, result_str ) == result );
TEST_ASSERT( mbedtls_rsa_pkcs1_verify( &ctx, NULL, NULL, MBEDTLS_RSA_PUBLIC,
digest, 0, hash_result,
result_str ) == result );
exit:
mbedtls_mpi_free( &N ); mbedtls_mpi_free( &E );
mbedtls_rsa_free( &ctx );
}
/* END_CASE */

102
tests/suites/test_suite_pkcs1_v21.function
View File

@ -21,19 +21,21 @@ void pkcs1_rsaes_oaep_encrypt( int mod, int radix_N, char *input_N, int radix_E,
mbedtls_rsa_context ctx;
size_t msg_len;
rnd_buf_info info;
mbedtls_mpi N, E;
info.length = unhexify( rnd_buf, seed );
info.buf = rnd_buf;
mbedtls_mpi_init( &N ); mbedtls_mpi_init( &E );
mbedtls_rsa_init( &ctx, MBEDTLS_RSA_PKCS_V21, hash );
memset( message_str, 0x00, 1000 );
memset( output, 0x00, 1000 );
memset( output_str, 0x00, 1000 );
ctx.len = mod / 8 + ( ( mod % 8 ) ? 1 : 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &ctx.N, radix_N, input_N ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &ctx.E, radix_E, input_E ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &N, radix_N, input_N ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &E, radix_E, input_E ) == 0 );
TEST_ASSERT( mbedtls_rsa_import( &ctx, &N, NULL, NULL, NULL, &E ) == 0 );
TEST_ASSERT( mbedtls_rsa_get_len( &ctx ) == (size_t) ( ( mod + 7 ) / 8 ) );
TEST_ASSERT( mbedtls_rsa_check_pubkey( &ctx ) == 0 );
msg_len = unhexify( message_str, message_hex_string );
@ -47,6 +49,7 @@ void pkcs1_rsaes_oaep_encrypt( int mod, int radix_N, char *input_N, int radix_E,
}
exit:
mbedtls_mpi_free( &N ); mbedtls_mpi_free( &E );
mbedtls_rsa_free( &ctx );
}
/* END_CASE */
@ -62,12 +65,14 @@ void pkcs1_rsaes_oaep_decrypt( int mod, int radix_P, char *input_P,
unsigned char output[1000];
unsigned char output_str[1000];
mbedtls_rsa_context ctx;
mbedtls_mpi P1, Q1, H, G;
size_t output_len;
rnd_pseudo_info rnd_info;
mbedtls_mpi N, P, Q, E;
((void) seed);
mbedtls_mpi_init( &P1 ); mbedtls_mpi_init( &Q1 ); mbedtls_mpi_init( &H ); mbedtls_mpi_init( &G );
mbedtls_mpi_init( &N ); mbedtls_mpi_init( &P );
mbedtls_mpi_init( &Q ); mbedtls_mpi_init( &E );
mbedtls_rsa_init( &ctx, MBEDTLS_RSA_PKCS_V21, hash );
memset( message_str, 0x00, 1000 );
@ -75,21 +80,14 @@ void pkcs1_rsaes_oaep_decrypt( int mod, int radix_P, char *input_P,
memset( output_str, 0x00, 1000 );
memset( &rnd_info, 0, sizeof( rnd_pseudo_info ) );
ctx.len = mod / 8 + ( ( mod % 8 ) ? 1 : 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &ctx.P, radix_P, input_P ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &ctx.Q, radix_Q, input_Q ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &ctx.N, radix_N, input_N ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &ctx.E, radix_E, input_E ) == 0 );
TEST_ASSERT( mbedtls_mpi_sub_int( &P1, &ctx.P, 1 ) == 0 );
TEST_ASSERT( mbedtls_mpi_sub_int( &Q1, &ctx.Q, 1 ) == 0 );
TEST_ASSERT( mbedtls_mpi_mul_mpi( &H, &P1, &Q1 ) == 0 );
TEST_ASSERT( mbedtls_mpi_gcd( &G, &ctx.E, &H ) == 0 );
TEST_ASSERT( mbedtls_mpi_inv_mod( &ctx.D , &ctx.E, &H ) == 0 );
TEST_ASSERT( mbedtls_mpi_mod_mpi( &ctx.DP, &ctx.D, &P1 ) == 0 );
TEST_ASSERT( mbedtls_mpi_mod_mpi( &ctx.DQ, &ctx.D, &Q1 ) == 0 );
TEST_ASSERT( mbedtls_mpi_inv_mod( &ctx.QP, &ctx.Q, &ctx.P ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &P, radix_P, input_P ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &Q, radix_Q, input_Q ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &N, radix_N, input_N ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &E, radix_E, input_E ) == 0 );
TEST_ASSERT( mbedtls_rsa_import( &ctx, &N, &P, &Q, NULL, &E ) == 0 );
TEST_ASSERT( mbedtls_rsa_get_len( &ctx ) == (size_t) ( ( mod + 7 ) / 8 ) );
TEST_ASSERT( mbedtls_rsa_complete( &ctx ) == 0 );
TEST_ASSERT( mbedtls_rsa_check_privkey( &ctx ) == 0 );
unhexify( message_str, message_hex_string );
@ -103,7 +101,8 @@ void pkcs1_rsaes_oaep_decrypt( int mod, int radix_P, char *input_P,
}
exit:
mbedtls_mpi_free( &P1 ); mbedtls_mpi_free( &Q1 ); mbedtls_mpi_free( &H ); mbedtls_mpi_free( &G );
mbedtls_mpi_free( &N ); mbedtls_mpi_free( &P );
mbedtls_mpi_free( &Q ); mbedtls_mpi_free( &E );
mbedtls_rsa_free( &ctx );
}
/* END_CASE */
@ -121,14 +120,15 @@ void pkcs1_rsassa_pss_sign( int mod, int radix_P, char *input_P, int radix_Q,
unsigned char output_str[1000];
unsigned char rnd_buf[1000];
mbedtls_rsa_context ctx;
mbedtls_mpi P1, Q1, H, G;
size_t msg_len;
rnd_buf_info info;
mbedtls_mpi N, P, Q, E;
info.length = unhexify( rnd_buf, salt );
info.buf = rnd_buf;
mbedtls_mpi_init( &P1 ); mbedtls_mpi_init( &Q1 ); mbedtls_mpi_init( &H ); mbedtls_mpi_init( &G );
mbedtls_mpi_init( &N ); mbedtls_mpi_init( &P );
mbedtls_mpi_init( &Q ); mbedtls_mpi_init( &E );
mbedtls_rsa_init( &ctx, MBEDTLS_RSA_PKCS_V21, hash );
memset( message_str, 0x00, 1000 );
@ -136,29 +136,24 @@ void pkcs1_rsassa_pss_sign( int mod, int radix_P, char *input_P, int radix_Q,
memset( output, 0x00, 1000 );
memset( output_str, 0x00, 1000 );
ctx.len = mod / 8 + ( ( mod % 8 ) ? 1 : 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &ctx.P, radix_P, input_P ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &ctx.Q, radix_Q, input_Q ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &ctx.N, radix_N, input_N ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &ctx.E, radix_E, input_E ) == 0 );
TEST_ASSERT( mbedtls_mpi_sub_int( &P1, &ctx.P, 1 ) == 0 );
TEST_ASSERT( mbedtls_mpi_sub_int( &Q1, &ctx.Q, 1 ) == 0 );
TEST_ASSERT( mbedtls_mpi_mul_mpi( &H, &P1, &Q1 ) == 0 );
TEST_ASSERT( mbedtls_mpi_gcd( &G, &ctx.E, &H ) == 0 );
TEST_ASSERT( mbedtls_mpi_inv_mod( &ctx.D , &ctx.E, &H ) == 0 );
TEST_ASSERT( mbedtls_mpi_mod_mpi( &ctx.DP, &ctx.D, &P1 ) == 0 );
TEST_ASSERT( mbedtls_mpi_mod_mpi( &ctx.DQ, &ctx.D, &Q1 ) == 0 );
TEST_ASSERT( mbedtls_mpi_inv_mod( &ctx.QP, &ctx.Q, &ctx.P ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &P, radix_P, input_P ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &Q, radix_Q, input_Q ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &N, radix_N, input_N ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &E, radix_E, input_E ) == 0 );
TEST_ASSERT( mbedtls_rsa_import( &ctx, &N, &P, &Q, NULL, &E ) == 0 );
TEST_ASSERT( mbedtls_rsa_get_len( &ctx ) == (size_t) ( ( mod + 7 ) / 8 ) );
TEST_ASSERT( mbedtls_rsa_complete( &ctx ) == 0 );
TEST_ASSERT( mbedtls_rsa_check_privkey( &ctx ) == 0 );
msg_len = unhexify( message_str, message_hex_string );
if( mbedtls_md_info_from_type( digest ) != NULL )
TEST_ASSERT( mbedtls_md( mbedtls_md_info_from_type( digest ), message_str, msg_len, hash_result ) == 0 );
TEST_ASSERT( mbedtls_md( mbedtls_md_info_from_type( digest ), message_str,
msg_len, hash_result ) == 0 );
TEST_ASSERT( mbedtls_rsa_pkcs1_sign( &ctx, &rnd_buffer_rand, &info, MBEDTLS_RSA_PRIVATE, digest, 0, hash_result, output ) == result );
TEST_ASSERT( mbedtls_rsa_pkcs1_sign( &ctx, &rnd_buffer_rand, &info, MBEDTLS_RSA_PRIVATE,
digest, 0, hash_result, output ) == result );
if( result == 0 )
{
hexify( output_str, output, ctx.len);
@ -167,7 +162,8 @@ void pkcs1_rsassa_pss_sign( int mod, int radix_P, char *input_P, int radix_Q,
}
exit:
mbedtls_mpi_free( &P1 ); mbedtls_mpi_free( &Q1 ); mbedtls_mpi_free( &H ); mbedtls_mpi_free( &G );
mbedtls_mpi_free( &N ); mbedtls_mpi_free( &P );
mbedtls_mpi_free( &Q ); mbedtls_mpi_free( &E );
mbedtls_rsa_free( &ctx );
}
/* END_CASE */
@ -183,28 +179,34 @@ void pkcs1_rsassa_pss_verify( int mod, int radix_N, char *input_N, int radix_E,
unsigned char result_str[1000];
mbedtls_rsa_context ctx;
size_t msg_len;
mbedtls_mpi N, E;
((void) salt);
mbedtls_mpi_init( &N ); mbedtls_mpi_init( &E );
mbedtls_rsa_init( &ctx, MBEDTLS_RSA_PKCS_V21, hash );
memset( message_str, 0x00, 1000 );
memset( hash_result, 0x00, 1000 );
memset( result_str, 0x00, 1000 );
ctx.len = mod / 8 + ( ( mod % 8 ) ? 1 : 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &ctx.N, radix_N, input_N ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &ctx.E, radix_E, input_E ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &N, radix_N, input_N ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &E, radix_E, input_E ) == 0 );
TEST_ASSERT( mbedtls_rsa_import( &ctx, &N, NULL, NULL, NULL, &E ) == 0 );
TEST_ASSERT( mbedtls_rsa_get_len( &ctx ) == (size_t) ( ( mod + 7 ) / 8 ) );
TEST_ASSERT( mbedtls_rsa_check_pubkey( &ctx ) == 0 );
msg_len = unhexify( message_str, message_hex_string );
unhexify( result_str, result_hex_str );
if( mbedtls_md_info_from_type( digest ) != NULL )
TEST_ASSERT( mbedtls_md( mbedtls_md_info_from_type( digest ), message_str, msg_len, hash_result ) == 0 );
TEST_ASSERT( mbedtls_md( mbedtls_md_info_from_type( digest ), message_str,
msg_len, hash_result ) == 0 );
TEST_ASSERT( mbedtls_rsa_pkcs1_verify( &ctx, NULL, NULL, MBEDTLS_RSA_PUBLIC, digest, 0, hash_result, result_str ) == result );
TEST_ASSERT( mbedtls_rsa_pkcs1_verify( &ctx, NULL, NULL, MBEDTLS_RSA_PUBLIC,
digest, 0, hash_result, result_str ) == result );
exit:
mbedtls_mpi_free( &N ); mbedtls_mpi_free( &E );
mbedtls_rsa_free( &ctx );
}
/* END_CASE */
@ -225,16 +227,19 @@ void pkcs1_rsassa_pss_verify_ext( int mod,
unsigned char result_str[1000];
mbedtls_rsa_context ctx;
size_t msg_len, hash_len;
mbedtls_mpi N, E;
mbedtls_mpi_init( &N ); mbedtls_mpi_init( &E );
mbedtls_rsa_init( &ctx, MBEDTLS_RSA_PKCS_V21, ctx_hash );
memset( message_str, 0x00, 1000 );
memset( hash_result, 0x00, 1000 );
memset( result_str, 0x00, 1000 );
ctx.len = mod / 8 + ( ( mod % 8 ) ? 1 : 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &ctx.N, radix_N, input_N ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &ctx.E, radix_E, input_E ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &N, radix_N, input_N ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &E, radix_E, input_E ) == 0 );
TEST_ASSERT( mbedtls_rsa_import( &ctx, &N, NULL, NULL, NULL, &E ) == 0 );
TEST_ASSERT( mbedtls_rsa_get_len( &ctx ) == (size_t) ( ( mod + 7 ) / 8 ) );
TEST_ASSERT( mbedtls_rsa_check_pubkey( &ctx ) == 0 );
msg_len = unhexify( message_str, message_hex_string );
@ -262,6 +267,7 @@ void pkcs1_rsassa_pss_verify_ext( int mod,
result_str ) == result_full );
exit:
mbedtls_mpi_free( &N ); mbedtls_mpi_free( &E );
mbedtls_rsa_free( &ctx );
}
/* END_CASE */

2
tests/suites/test_suite_pkparse.data
View File

@ -485,4 +485,4 @@ Key ASN1 (RSAPrivateKey, values present, length mismatch)
pk_parse_key_rsa:"301c02010002010102010102010102010102010102010102010102010100":"":MBEDTLS_ERR_PK_KEY_INVALID_FORMAT
Key ASN1 (RSAPrivateKey, values present, check_privkey fails)
pk_parse_key_rsa:"301b020100020101020101020101020101020101020101020101020101":"":MBEDTLS_ERR_PK_KEY_INVALID_FORMAT
pk_parse_key_rsa:"301b020100020102020101020101020101020101020101020101020101":"":MBEDTLS_ERR_PK_KEY_INVALID_FORMAT

198
tests/suites/test_suite_rsa.data
View File

@ -274,12 +274,15 @@ RSA Check Private key #6 (No D)
mbedtls_rsa_check_privkey:2048:16:"e79a373182bfaa722eb035f772ad2a9464bd842de59432c18bbab3a7dfeae318c9b915ee487861ab665a40bd6cda560152578e8579016c929df99fea05b4d64efca1d543850bc8164b40d71ed7f3fa4105df0fb9b9ad2a18ce182c8a4f4f975bea9aa0b9a1438a27a28e97ac8330ef37383414d1bd64607d6979ac050424fd17":16:"c6749cbb0db8c5a177672d4728a8b22392b2fc4d3b8361d5c0d5055a1b4e46d821f757c24eef2a51c561941b93b3ace7340074c058c9bb48e7e7414f42c41da4cccb5c2ba91deb30c586b7fb18af12a52995592ad139d3be429add6547e044becedaf31fa3b39421e24ee034fbf367d11f6b8f88ee483d163b431e1654ad3e89":16:"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
RSA Check Private key #7 (No DP)
depends_on:!MBEDTLS_RSA_NO_CRT
mbedtls_rsa_check_privkey:2048:16:"e79a373182bfaa722eb035f772ad2a9464bd842de59432c18bbab3a7dfeae318c9b915ee487861ab665a40bd6cda560152578e8579016c929df99fea05b4d64efca1d543850bc8164b40d71ed7f3fa4105df0fb9b9ad2a18ce182c8a4f4f975bea9aa0b9a1438a27a28e97ac8330ef37383414d1bd64607d6979ac050424fd17":16:"c6749cbb0db8c5a177672d4728a8b22392b2fc4d3b8361d5c0d5055a1b4e46d821f757c24eef2a51c561941b93b3ace7340074c058c9bb48e7e7414f42c41da4cccb5c2ba91deb30c586b7fb18af12a52995592ad139d3be429add6547e044becedaf31fa3b39421e24ee034fbf367d11f6b8f88ee483d163b431e1654ad3e89":16:"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
RSA Check Private key #8 (No DQ)
depends_on:!MBEDTLS_RSA_NO_CRT
mbedtls_rsa_check_privkey:2048:16:"e79a373182bfaa722eb035f772ad2a9464bd842de59432c18bbab3a7dfeae318c9b915ee487861ab665a40bd6cda560152578e8579016c929df99fea05b4d64efca1d543850bc8164b40d71ed7f3fa4105df0fb9b9ad2a18ce182c8a4f4f975bea9aa0b9a1438a27a28e97ac8330ef37383414d1bd64607d6979ac050424fd17":16:"c6749cbb0db8c5a177672d4728a8b22392b2fc4d3b8361d5c0d5055a1b4e46d821f757c24eef2a51c561941b93b3ace7340074c058c9bb48e7e7414f42c41da4cccb5c2ba91deb30c586b7fb18af12a52995592ad139d3be429add6547e044becedaf31fa3b39421e24ee034fbf367d11f6b8f88ee483d163b431e1654ad3e89":16:"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
RSA Check Private key #9 (No QP)
depends_on:!MBEDTLS_RSA_NO_CRT
mbedtls_rsa_check_privkey:2048:16:"e79a373182bfaa722eb035f772ad2a9464bd842de59432c18bbab3a7dfeae318c9b915ee487861ab665a40bd6cda560152578e8579016c929df99fea05b4d64efca1d543850bc8164b40d71ed7f3fa4105df0fb9b9ad2a18ce182c8a4f4f975bea9aa0b9a1438a27a28e97ac8330ef37383414d1bd64607d6979ac050424fd17":16:"c6749cbb0db8c5a177672d4728a8b22392b2fc4d3b8361d5c0d5055a1b4e46d821f757c24eef2a51c561941b93b3ace7340074c058c9bb48e7e7414f42c41da4cccb5c2ba91deb30c586b7fb18af12a52995592ad139d3be429add6547e044becedaf31fa3b39421e24ee034fbf367d11f6b8f88ee483d163b431e1654ad3e89":16:"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
RSA Check Private key #10 (Incorrect)
@ -370,6 +373,201 @@ RSA Generate Key - 1025 bit key
# mbedtls_rsa_gen_key only supports even-sized keys
mbedtls_rsa_gen_key:1025:3:MBEDTLS_ERR_RSA_BAD_INPUT_DATA
RSA Validate Params, toy example
mbedtls_rsa_validate_params:10:"15":10:"3":10:"5":10:"3":10:"3":0:0
RSA Validate Params, toy example, N missing
mbedtls_rsa_validate_params:10:"":10:"3":10:"5":10:"3":10:"3":0:0
RSA Validate Params, toy example, E missing
mbedtls_rsa_validate_params:10:"15":10:"3":10:"5":10:"3":10:"":0:0
RSA Validate Params, toy example, corrupted
mbedtls_rsa_validate_params:10:"16":10:"3":10:"5":10:"3":10:"3":0:MBEDTLS_ERR_RSA_KEY_CHECK_FAILED
RSA Validate Params, toy example, non-primes, no PRNG
mbedtls_rsa_validate_params:10:"45":10:"9":10:"5":10:"7":10:"23":0:0
RSA Validate Params, toy example, non-primes, PRNG
mbedtls_rsa_validate_params:10:"45":10:"9":10:"5":10:"7":10:"23":1:MBEDTLS_ERR_RSA_KEY_CHECK_FAILED
RSA Validate Params
mbedtls_rsa_validate_params:16:"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":16:"e79a373182bfaa722eb035f772ad2a9464bd842de59432c18bbab3a7dfeae318c9b915ee487861ab665a40bd6cda560152578e8579016c929df99fea05b4d64efca1d543850bc8164b40d71ed7f3fa4105df0fb9b9ad2a18ce182c8a4f4f975bea9aa0b9a1438a27a28e97ac8330ef37383414d1bd64607d6979ac050424fd17":16:"c6749cbb0db8c5a177672d4728a8b22392b2fc4d3b8361d5c0d5055a1b4e46d821f757c24eef2a51c561941b93b3ace7340074c058c9bb48e7e7414f42c41da4cccb5c2ba91deb30c586b7fb18af12a52995592ad139d3be429add6547e044becedaf31fa3b39421e24ee034fbf367d11f6b8f88ee483d163b431e1654ad3e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
RSA Validate Params, N missing
mbedtls_rsa_validate_params:16:"":16:"e79a373182bfaa722eb035f772ad2a9464bd842de59432c18bbab3a7dfeae318c9b915ee487861ab665a40bd6cda560152578e8579016c929df99fea05b4d64efca1d543850bc8164b40d71ed7f3fa4105df0fb9b9ad2a18ce182c8a4f4f975bea9aa0b9a1438a27a28e97ac8330ef37383414d1bd64607d6979ac050424fd17":16:"c6749cbb0db8c5a177672d4728a8b22392b2fc4d3b8361d5c0d5055a1b4e46d821f757c24eef2a51c561941b93b3ace7340074c058c9bb48e7e7414f42c41da4cccb5c2ba91deb30c586b7fb18af12a52995592ad139d3be429add6547e044becedaf31fa3b39421e24ee034fbf367d11f6b8f88ee483d163b431e1654ad3e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
RSA Validate Params, bad N
mbedtls_rsa_validate_params:16:"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":16:"e79a373182bfaa722eb035f772ad2a9464bd842de59432c18bbab3a7dfeae318c9b915ee487861ab665a40bd6cda560152578e8579016c929df99fea05b4d64efca1d543850bc8164b40d71ed7f3fa4105df0fb9b9ad2a18ce182c8a4f4f975bea9aa0b9a1438a27a28e97ac8330ef37383414d1bd64607d6979ac050424fd17":16:"c6749cbb0db8c5a177672d4728a8b22392b2fc4d3b8361d5c0d5055a1b4e46d821f757c24eef2a51c561941b93b3ace7340074c058c9bb48e7e7414f42c41da4cccb5c2ba91deb30c586b7fb18af12a52995592ad139d3be429add6547e044becedaf31fa3b39421e24ee034fbf367d11f6b8f88ee483d163b431e1654ad3e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
RSA Validate Params, non-prime, no PRNG
mbedtls_rsa_validate_params:16:"":16:"e79a373182bfaa722eb035f772ad2a9464bd842de59432c18bbab3a7dfeae318c9b915ee487861ab665a40bd6cda560152578e8579016c929df99fea05b4d64efca1d543850bc8164b40d71ed7f3fa4105df0fb9b9ad2a18ce182c8a4f4f975bea9aa0b9a1438a27a28e97ac8330ef37383414d1bd64607d6979ac050424fd18":16:"c6749cbb0db8c5a177672d4728a8b22392b2fc4d3b8361d5c0d5055a1b4e46d821f757c24eef2a51c561941b93b3ace7340074c058c9bb48e7e7414f42c41da4cccb5c2ba91deb30c586b7fb18af12a52995592ad139d3be429add6547e044becedaf31fa3b39421e24ee034fbf367d11f6b8f88ee483d163b431e1654ad3e89":16:"":16:"":0:0
RSA Validate Params, non-prime, PRNG
mbedtls_rsa_validate_params:16:"":16:"e79a373182bfaa722eb035f772ad2a9464bd842de59432c18bbab3a7dfeae318c9b915ee487861ab665a40bd6cda560152578e8579016c929df99fea05b4d64efca1d543850bc8164b40d71ed7f3fa4105df0fb9b9ad2a18ce182c8a4f4f975bea9aa0b9a1438a27a28e97ac8330ef37383414d1bd64607d6979ac050424fd18":16:"c6749cbb0db8c5a177672d4728a8b22392b2fc4d3b8361d5c0d5055a1b4e46d821f757c24eef2a51c561941b93b3ace7340074c058c9bb48e7e7414f42c41da4cccb5c2ba91deb30c586b7fb18af12a52995592ad139d3be429add6547e044becedaf31fa3b39421e24ee034fbf367d11f6b8f88ee483d163b431e1654ad3e89":16:"":16:"":1:MBEDTLS_ERR_RSA_KEY_CHECK_FAILED
RSA Deduce Private, toy example
mbedtls_rsa_deduce_private_exponent:10:"7":10:"11":10:"7":10:"13":0:0
RSA Deduce Private, toy example, corrupted
mbedtls_rsa_deduce_private_exponent:10:"3":10:"5":10:"3":10:"3":1:MBEDTLS_ERR_MPI_NOT_ACCEPTABLE
RSA Deduce Private
mbedtls_rsa_deduce_private_exponent:16:"e79a373182bfaa722eb035f772ad2a9464bd842de59432c18bbab3a7dfeae318c9b915ee487861ab665a40bd6cda560152578e8579016c929df99fea05b4d64efca1d543850bc8164b40d71ed7f3fa4105df0fb9b9ad2a18ce182c8a4f4f975bea9aa0b9a1438a27a28e97ac8330ef37383414d1bd64607d6979ac050424fd17":16:"c6749cbb0db8c5a177672d4728a8b22392b2fc4d3b8361d5c0d5055a1b4e46d821f757c24eef2a51c561941b93b3ace7340074c058c9bb48e7e7414f42c41da4cccb5c2ba91deb30c586b7fb18af12a52995592ad139d3be429add6547e044becedaf31fa3b39421e24ee034fbf367d11f6b8f88ee483d163b431e1654ad3e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
RSA Deduce Private, corrupted
mbedtls_rsa_deduce_private_exponent:16:"e79a373182bfaa722eb035f772ad2a9464bd842de59432c18bbab3a7dfeae318c9b915ee487861ab665a40bd6cda560152578e8579016c929df99fea05b4d64efca1d543850bc8164b40d71ed7f3fa4105df0fb9b9ad2a18ce182c8a4f4f975bea9aa0b9a1438a27a28e97ac8330ef37383414d1bd64607d6979ac050424fd17":16:"c6749cbb0db8c5a177672d4728a8b22392b2fc4d3b8361d5c0d5055a1b4e46d821f757c24eef2a51c561941b93b3ace7340074c058c9bb48e7e7414f42c41da4cccb5c2ba91deb30c586b7fb18af12a52995592ad139d3be429add6547e044becedaf31fa3b39421e24ee034fbf367d11f6b8f88ee483d163b431e1654ad3e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
RSA Deduce Primes, toy example
mbedtls_rsa_deduce_primes:10:"35":10:"5":10:"5":10:"5":10:"7":0:0
RSA Deduce Primes, toy example, corrupted
mbedtls_rsa_deduce_primes:10:"35":10:"5":10:"5":10:"5":10:"7":1:MBEDTLS_ERR_MPI_BAD_INPUT_DATA
RSA Deduce Moduli
mbedtls_rsa_deduce_primes:16:"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e79a373182bfaa722eb035f772ad2a9464bd842de59432c18bbab3a7dfeae318c9b915ee487861ab665a40bd6cda560152578e8579016c929df99fea05b4d64efca1d543850bc8164b40d71ed7f3fa4105df0fb9b9ad2a18ce182c8a4f4f975bea9aa0b9a1438a27a28e97ac8330ef37383414d1bd64607d6979ac050424fd17":16:"c6749cbb0db8c5a177672d4728a8b22392b2fc4d3b8361d5c0d5055a1b4e46d821f757c24eef2a51c561941b93b3ace7340074c058c9bb48e7e7414f42c41da4cccb5c2ba91deb30c586b7fb18af12a52995592ad139d3be429add6547e044becedaf31fa3b39421e24ee034fbf367d11f6b8f88ee483d163b431e1654ad3e89":0:0
RSA Deduce Moduli, corrupted
mbedtls_rsa_deduce_primes:16:"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e79a373182bfaa722eb035f772ad2a9464bd842de59432c18bbab3a7dfeae318c9b915ee487861ab665a40bd6cda560152578e8579016c929df99fea05b4d64efca1d543850bc8164b40d71ed7f3fa4105df0fb9b9ad2a18ce182c8a4f4f975bea9aa0b9a1438a27a28e97ac8330ef37383414d1bd64607d6979ac050424fd17":16:"c6749cbb0db8c5a177672d4728a8b22392b2fc4d3b8361d5c0d5055a1b4e46d821f757c24eef2a51c561941b93b3ace7340074c058c9bb48e7e7414f42c41da4cccb5c2ba91deb30c586b7fb18af12a52995592ad139d3be429add6547e044becedaf31fa3b39421e24ee034fbf367d11f6b8f88ee483d163b431e1654ad3e89":1:MBEDTLS_ERR_MPI_BAD_INPUT_DATA
RSA Import (N,P,Q,D,E)
mbedtls_rsa_import:16:"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":16:"e79a373182bfaa722eb035f772ad2a9464bd842de59432c18bbab3a7dfeae318c9b915ee487861ab665a40bd6cda560152578e8579016c929df99fea05b4d64efca1d543850bc8164b40d71ed7f3fa4105df0fb9b9ad2a18ce182c8a4f4f975bea9aa0b9a1438a27a28e97ac8330ef37383414d1bd64607d6979ac050424fd17":16:"c6749cbb0db8c5a177672d4728a8b22392b2fc4d3b8361d5c0d5055a1b4e46d821f757c24eef2a51c561941b93b3ace7340074c058c9bb48e7e7414f42c41da4cccb5c2ba91deb30c586b7fb18af12a52995592ad139d3be429add6547e044becedaf31fa3b39421e24ee034fbf367d11f6b8f88ee483d163b431e1654ad3e89":16:"77B1D99300D6A54E864962DA09AE10CF19A7FB888456BC2672B72AEA52B204914493D16C184AD201EC3F762E1FBD8702BA796EF953D9EA2F26300D285264F11B0C8301D0207FEB1E2C984445C899B0ACEBAA74EF014DD1D4BDDB43202C08D2FF9692D8D788478DEC829EB52AFB5AE068FBDBAC499A27FACECC391E75C936D55F07BB45EE184DAB45808E15722502F279F89B38C1CB292557E5063597F52C75D61001EDC33F4739353E33E56AD273B067C1A2760208529EA421774A5FFFCB3423B1E0051E7702A55D80CBF2141569F18F87BFF538A1DA8EDBB2693A539F68E0D62D77743F89EACF3B1723BDB25CE2F333FA63CACF0E67DF1A431893BB9B352FCB":16:"3":0:1:0:0
RSA Import (N,P,Q,D,E), inconsistent
mbedtls_rsa_import:16:"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":16:"e79a373182bfaa722eb035f772ad2a9464bd842de59432c18bbab3a7dfeae318c9b915ee487861ab665a40bd6cda560152578e8579016c929df99fea05b4d64efca1d543850bc8164b40d71ed7f3fa4105df0fb9b9ad2a18ce182c8a4f4f975bea9aa0b9a1438a27a28e97ac8330ef37383414d1bd64607d6979ac050424fd17":16:"c6749cbb0db8c5a177672d4728a8b22392b2fc4d3b8361d5c0d5055a1b4e46d821f757c24eef2a51c561941b93b3ace7340074c058c9bb48e7e7414f42c41da4cccb5c2ba91deb30c586b7fb18af12a52995592ad139d3be429add6547e044becedaf31fa3b39421e24ee034fbf367d11f6b8f88ee483d163b431e1654ad3e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
RSA Import (N,P,Q,D,E), successive
mbedtls_rsa_import:16:"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":16:"e79a373182bfaa722eb035f772ad2a9464bd842de59432c18bbab3a7dfeae318c9b915ee487861ab665a40bd6cda560152578e8579016c929df99fea05b4d64efca1d543850bc8164b40d71ed7f3fa4105df0fb9b9ad2a18ce182c8a4f4f975bea9aa0b9a1438a27a28e97ac8330ef37383414d1bd64607d6979ac050424fd17":16:"c6749cbb0db8c5a177672d4728a8b22392b2fc4d3b8361d5c0d5055a1b4e46d821f757c24eef2a51c561941b93b3ace7340074c058c9bb48e7e7414f42c41da4cccb5c2ba91deb30c586b7fb18af12a52995592ad139d3be429add6547e044becedaf31fa3b39421e24ee034fbf367d11f6b8f88ee483d163b431e1654ad3e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
RSA Import (N,P,Q,D,E), successive, inconsistent
mbedtls_rsa_import:16:"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":16:"e79a373182bfaa722eb035f772ad2a9464bd842de59432c18bbab3a7dfeae318c9b915ee487861ab665a40bd6cda560152578e8579016c929df99fea05b4d64efca1d543850bc8164b40d71ed7f3fa4105df0fb9b9ad2a18ce182c8a4f4f975bea9aa0b9a1438a27a28e97ac8330ef37383414d1bd64607d6979ac050424fd17":16:"c6749cbb0db8c5a177672d4728a8b22392b2fc4d3b8361d5c0d5055a1b4e46d821f757c24eef2a51c561941b93b3ace7340074c058c9bb48e7e7414f42c41da4cccb5c2ba91deb30c586b7fb18af12a52995592ad139d3be429add6547e044becedaf31fa3b39421e24ee034fbf367d11f6b8f88ee483d163b431e1654ad3e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
RSA Import (-,P,Q,D,E)
mbedtls_rsa_import:16:"":16:"e79a373182bfaa722eb035f772ad2a9464bd842de59432c18bbab3a7dfeae318c9b915ee487861ab665a40bd6cda560152578e8579016c929df99fea05b4d64efca1d543850bc8164b40d71ed7f3fa4105df0fb9b9ad2a18ce182c8a4f4f975bea9aa0b9a1438a27a28e97ac8330ef37383414d1bd64607d6979ac050424fd17":16:"c6749cbb0db8c5a177672d4728a8b22392b2fc4d3b8361d5c0d5055a1b4e46d821f757c24eef2a51c561941b93b3ace7340074c058c9bb48e7e7414f42c41da4cccb5c2ba91deb30c586b7fb18af12a52995592ad139d3be429add6547e044becedaf31fa3b39421e24ee034fbf367d11f6b8f88ee483d163b431e1654ad3e89":16:"77B1D99300D6A54E864962DA09AE10CF19A7FB888456BC2672B72AEA52B204914493D16C184AD201EC3F762E1FBD8702BA796EF953D9EA2F26300D285264F11B0C8301D0207FEB1E2C984445C899B0ACEBAA74EF014DD1D4BDDB43202C08D2FF9692D8D788478DEC829EB52AFB5AE068FBDBAC499A27FACECC391E75C936D55F07BB45EE184DAB45808E15722502F279F89B38C1CB292557E5063597F52C75D61001EDC33F4739353E33E56AD273B067C1A2760208529EA421774A5FFFCB3423B1E0051E7702A55D80CBF2141569F18F87BFF538A1DA8EDBB2693A539F68E0D62D77743F89EACF3B1723BDB25CE2F333FA63CACF0E67DF1A431893BB9B352FCB":16:"3":0:1:0:0
RSA Import (-,P,Q,D,E), successive
mbedtls_rsa_import:16:"":16:"e79a373182bfaa722eb035f772ad2a9464bd842de59432c18bbab3a7dfeae318c9b915ee487861ab665a40bd6cda560152578e8579016c929df99fea05b4d64efca1d543850bc8164b40d71ed7f3fa4105df0fb9b9ad2a18ce182c8a4f4f975bea9aa0b9a1438a27a28e97ac8330ef37383414d1bd64607d6979ac050424fd17":16:"c6749cbb0db8c5a177672d4728a8b22392b2fc4d3b8361d5c0d5055a1b4e46d821f757c24eef2a51c561941b93b3ace7340074c058c9bb48e7e7414f42c41da4cccb5c2ba91deb30c586b7fb18af12a52995592ad139d3be429add6547e044becedaf31fa3b39421e24ee034fbf367d11f6b8f88ee483d163b431e1654ad3e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
RSA Import (N,-,-,D,E)
mbedtls_rsa_import:16:"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
RSA Import (N,-,-,D,E), succesive
mbedtls_rsa_import:16:"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
RSA Import (N,P,Q,-,E)
mbedtls_rsa_import:16:"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":16:"e79a373182bfaa722eb035f772ad2a9464bd842de59432c18bbab3a7dfeae318c9b915ee487861ab665a40bd6cda560152578e8579016c929df99fea05b4d64efca1d543850bc8164b40d71ed7f3fa4105df0fb9b9ad2a18ce182c8a4f4f975bea9aa0b9a1438a27a28e97ac8330ef37383414d1bd64607d6979ac050424fd17":16:"c6749cbb0db8c5a177672d4728a8b22392b2fc4d3b8361d5c0d5055a1b4e46d821f757c24eef2a51c561941b93b3ace7340074c058c9bb48e7e7414f42c41da4cccb5c2ba91deb30c586b7fb18af12a52995592ad139d3be429add6547e044becedaf31fa3b39421e24ee034fbf367d11f6b8f88ee483d163b431e1654ad3e89":16:"":16:"3":0:1:0:0
RSA Import (N,P,Q,-,E), successive
mbedtls_rsa_import:16:"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":16:"e79a373182bfaa722eb035f772ad2a9464bd842de59432c18bbab3a7dfeae318c9b915ee487861ab665a40bd6cda560152578e8579016c929df99fea05b4d64efca1d543850bc8164b40d71ed7f3fa4105df0fb9b9ad2a18ce182c8a4f4f975bea9aa0b9a1438a27a28e97ac8330ef37383414d1bd64607d6979ac050424fd17":16:"c6749cbb0db8c5a177672d4728a8b22392b2fc4d3b8361d5c0d5055a1b4e46d821f757c24eef2a51c561941b93b3ace7340074c058c9bb48e7e7414f42c41da4cccb5c2ba91deb30c586b7fb18af12a52995592ad139d3be429add6547e044becedaf31fa3b39421e24ee034fbf367d11f6b8f88ee483d163b431e1654ad3e89":16:"":16:"3":1:1:0:0
RSA Import (-,P,Q,-,E)
mbedtls_rsa_import:16:"":16:"e79a373182bfaa722eb035f772ad2a9464bd842de59432c18bbab3a7dfeae318c9b915ee487861ab665a40bd6cda560152578e8579016c929df99fea05b4d64efca1d543850bc8164b40d71ed7f3fa4105df0fb9b9ad2a18ce182c8a4f4f975bea9aa0b9a1438a27a28e97ac8330ef37383414d1bd64607d6979ac050424fd17":16:"c6749cbb0db8c5a177672d4728a8b22392b2fc4d3b8361d5c0d5055a1b4e46d821f757c24eef2a51c561941b93b3ace7340074c058c9bb48e7e7414f42c41da4cccb5c2ba91deb30c586b7fb18af12a52995592ad139d3be429add6547e044becedaf31fa3b39421e24ee034fbf367d11f6b8f88ee483d163b431e1654ad3e89":16:"":16:"3":0:1:0:0
RSA Import (-,P,Q,-,E), successive
mbedtls_rsa_import:16:"":16:"e79a373182bfaa722eb035f772ad2a9464bd842de59432c18bbab3a7dfeae318c9b915ee487861ab665a40bd6cda560152578e8579016c929df99fea05b4d64efca1d543850bc8164b40d71ed7f3fa4105df0fb9b9ad2a18ce182c8a4f4f975bea9aa0b9a1438a27a28e97ac8330ef37383414d1bd64607d6979ac050424fd17":16:"c6749cbb0db8c5a177672d4728a8b22392b2fc4d3b8361d5c0d5055a1b4e46d821f757c24eef2a51c561941b93b3ace7340074c058c9bb48e7e7414f42c41da4cccb5c2ba91deb30c586b7fb18af12a52995592ad139d3be429add6547e044becedaf31fa3b39421e24ee034fbf367d11f6b8f88ee483d163b431e1654ad3e89":16:"":16:"3":1:1:0:0
RSA Import (N,-,Q,-,E)
mbedtls_rsa_import:16:"b38ac65c8141f7f5c96e14470e851936a67bf94cc6821a39ac12c05f7c0b06d9e6ddba2224703b02e25f31452f9c4a8417b62675fdc6df46b94813bc7b9769a892c482b830bfe0ad42e46668ace68903617faf6681f4babf1cc8e4b0420d3c7f61dc45434c6b54e2c3ee0fc07908509d79c9826e673bf8363255adb0add2401039a7bcd1b4ecf0fbe6ec8369d2da486eec59559dd1d54c9b24190965eafbdab203b35255765261cd0909acf93c3b8b8428cbb448de4715d1b813d0c94829c229543d391ce0adab5351f97a3810c1f73d7b1458b97daed4209c50e16d064d2d5bfda8c23893d755222793146d0a78c3d64f35549141486c3b0961a7b4c1a2034f":16:"":16:"c6749cbb0db8c5a177672d4728a8b22392b2fc4d3b8361d5c0d5055a1b4e46d821f757c24eef2a51c561941b93b3ace7340074c058c9bb48e7e7414f42c41da4cccb5c2ba91deb30c586b7fb18af12a52995592ad139d3be429add6547e044becedaf31fa3b39421e24ee034fbf367d11f6b8f88ee483d163b431e1654ad3e89":16:"":16:"3":0:1:0:MBEDTLS_ERR_RSA_BAD_INPUT_DATA
RSA Import (N,-,Q,-,E), successive
mbedtls_rsa_import:16:"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":16:"":16:"c6749cbb0db8c5a177672d4728a8b22392b2fc4d3b8361d5c0d5055a1b4e46d821f757c24eef2a51c561941b93b3ace7340074c058c9bb48e7e7414f42c41da4cccb5c2ba91deb30c586b7fb18af12a52995592ad139d3be429add6547e044becedaf31fa3b39421e24ee034fbf367d11f6b8f88ee483d163b431e1654ad3e89":16:"":16:"3":1:1:0:MBEDTLS_ERR_RSA_BAD_INPUT_DATA
RSA Import (N,-,-,-,E), complete public key
mbedtls_rsa_import:16:"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":16:"":16:"":16:"":16:"3":0:0:0:0
RSA Import (N,-,-,-,E), complete public key, successive
mbedtls_rsa_import:16:"b38ac65c8141f7f5c96e14470e851936a67bf94cc6821a39ac12c05f7c0b06d9e6ddba2224703b02e25f31452f9c4a8417b62675fdc6df46b94813bc7b9769a892c482b830bfe0ad42e46668ace68903617faf6681f4babf1cc8e4b0420d3c7f61dc45434c6b54e2c3ee0fc07908509d79c9826e673bf8363255adb0add2401039a7bcd1b4ecf0fbe6ec8369d2da486eec59559dd1d54c9b24190965eafbdab203b35255765261cd0909acf93c3b8b8428cbb448de4715d1b813d0c94829c229543d391ce0adab5351f97a3810c1f73d7b1458b97daed4209c50e16d064d2d5bfda8c23893d755222793146d0a78c3d64f35549141486c3b0961a7b4c1a2034f":16:"":16:"":16:"":16:"3":1:0:0:0
RSA Import (N,-,-,-,E), complete public key, corrupted
mbedtls_rsa_import:16:"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":16:"":16:"":16:"":16:"4":0:0:MBEDTLS_ERR_RSA_KEY_CHECK_FAILED:0
RSA Import (N,-,-,-,E), complete public key, successive, corrupted
mbedtls_rsa_import:16:"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":16:"":16:"":16:"":16:"4":1:0:MBEDTLS_ERR_RSA_KEY_CHECK_FAILED:0
RSA Import Raw (N,P,Q,D,E), complete private key
mbedtls_rsa_import_raw:"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":"e79a373182bfaa722eb035f772ad2a9464bd842de59432c18bbab3a7dfeae318c9b915ee487861ab665a40bd6cda560152578e8579016c929df99fea05b4d64efca1d543850bc8164b40d71ed7f3fa4105df0fb9b9ad2a18ce182c8a4f4f975bea9aa0b9a1438a27a28e97ac8330ef37383414d1bd64607d6979ac050424fd17":"c6749cbb0db8c5a177672d4728a8b22392b2fc4d3b8361d5c0d5055a1b4e46d821f757c24eef2a51c561941b93b3ace7340074c058c9bb48e7e7414f42c41da4cccb5c2ba91deb30c586b7fb18af12a52995592ad139d3be429add6547e044becedaf31fa3b39421e24ee034fbf367d11f6b8f88ee483d163b431e1654ad3e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
RSA Import Raw (N,P,Q,D,E), successive
mbedtls_rsa_import_raw:"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":"e79a373182bfaa722eb035f772ad2a9464bd842de59432c18bbab3a7dfeae318c9b915ee487861ab665a40bd6cda560152578e8579016c929df99fea05b4d64efca1d543850bc8164b40d71ed7f3fa4105df0fb9b9ad2a18ce182c8a4f4f975bea9aa0b9a1438a27a28e97ac8330ef37383414d1bd64607d6979ac050424fd17":"c6749cbb0db8c5a177672d4728a8b22392b2fc4d3b8361d5c0d5055a1b4e46d821f757c24eef2a51c561941b93b3ace7340074c058c9bb48e7e7414f42c41da4cccb5c2ba91deb30c586b7fb18af12a52995592ad139d3be429add6547e044becedaf31fa3b39421e24ee034fbf367d11f6b8f88ee483d163b431e1654ad3e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
RSA Import Raw (-,P,Q,D,E)
mbedtls_rsa_import_raw:"":"e79a373182bfaa722eb035f772ad2a9464bd842de59432c18bbab3a7dfeae318c9b915ee487861ab665a40bd6cda560152578e8579016c929df99fea05b4d64efca1d543850bc8164b40d71ed7f3fa4105df0fb9b9ad2a18ce182c8a4f4f975bea9aa0b9a1438a27a28e97ac8330ef37383414d1bd64607d6979ac050424fd17":"c6749cbb0db8c5a177672d4728a8b22392b2fc4d3b8361d5c0d5055a1b4e46d821f757c24eef2a51c561941b93b3ace7340074c058c9bb48e7e7414f42c41da4cccb5c2ba91deb30c586b7fb18af12a52995592ad139d3be429add6547e044becedaf31fa3b39421e24ee034fbf367d11f6b8f88ee483d163b431e1654ad3e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
RSA Import Raw (-,P,Q,D,E), successive
mbedtls_rsa_import_raw:"":"e79a373182bfaa722eb035f772ad2a9464bd842de59432c18bbab3a7dfeae318c9b915ee487861ab665a40bd6cda560152578e8579016c929df99fea05b4d64efca1d543850bc8164b40d71ed7f3fa4105df0fb9b9ad2a18ce182c8a4f4f975bea9aa0b9a1438a27a28e97ac8330ef37383414d1bd64607d6979ac050424fd17":"c6749cbb0db8c5a177672d4728a8b22392b2fc4d3b8361d5c0d5055a1b4e46d821f757c24eef2a51c561941b93b3ace7340074c058c9bb48e7e7414f42c41da4cccb5c2ba91deb30c586b7fb18af12a52995592ad139d3be429add6547e044becedaf31fa3b39421e24ee034fbf367d11f6b8f88ee483d163b431e1654ad3e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
RSA Import Raw (N,-,-,D,E)
mbedtls_rsa_import_raw:"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
RSA Import Raw (N,-,-,D,E), successive
mbedtls_rsa_import_raw:"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
RSA Import Raw (N,P,Q,-,E)
mbedtls_rsa_import_raw:"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":"e79a373182bfaa722eb035f772ad2a9464bd842de59432c18bbab3a7dfeae318c9b915ee487861ab665a40bd6cda560152578e8579016c929df99fea05b4d64efca1d543850bc8164b40d71ed7f3fa4105df0fb9b9ad2a18ce182c8a4f4f975bea9aa0b9a1438a27a28e97ac8330ef37383414d1bd64607d6979ac050424fd17":"c6749cbb0db8c5a177672d4728a8b22392b2fc4d3b8361d5c0d5055a1b4e46d821f757c24eef2a51c561941b93b3ace7340074c058c9bb48e7e7414f42c41da4cccb5c2ba91deb30c586b7fb18af12a52995592ad139d3be429add6547e044becedaf31fa3b39421e24ee034fbf367d11f6b8f88ee483d163b431e1654ad3e89":"":"03":0:1:0:0
RSA Import Raw (N,P,Q,-,E), successive
mbedtls_rsa_import_raw:"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":"e79a373182bfaa722eb035f772ad2a9464bd842de59432c18bbab3a7dfeae318c9b915ee487861ab665a40bd6cda560152578e8579016c929df99fea05b4d64efca1d543850bc8164b40d71ed7f3fa4105df0fb9b9ad2a18ce182c8a4f4f975bea9aa0b9a1438a27a28e97ac8330ef37383414d1bd64607d6979ac050424fd17":"c6749cbb0db8c5a177672d4728a8b22392b2fc4d3b8361d5c0d5055a1b4e46d821f757c24eef2a51c561941b93b3ace7340074c058c9bb48e7e7414f42c41da4cccb5c2ba91deb30c586b7fb18af12a52995592ad139d3be429add6547e044becedaf31fa3b39421e24ee034fbf367d11f6b8f88ee483d163b431e1654ad3e89":"":"03":1:1:0:0
RSA Import Raw (-,P,Q,-,E)
mbedtls_rsa_import_raw:"":"e79a373182bfaa722eb035f772ad2a9464bd842de59432c18bbab3a7dfeae318c9b915ee487861ab665a40bd6cda560152578e8579016c929df99fea05b4d64efca1d543850bc8164b40d71ed7f3fa4105df0fb9b9ad2a18ce182c8a4f4f975bea9aa0b9a1438a27a28e97ac8330ef37383414d1bd64607d6979ac050424fd17":"c6749cbb0db8c5a177672d4728a8b22392b2fc4d3b8361d5c0d5055a1b4e46d821f757c24eef2a51c561941b93b3ace7340074c058c9bb48e7e7414f42c41da4cccb5c2ba91deb30c586b7fb18af12a52995592ad139d3be429add6547e044becedaf31fa3b39421e24ee034fbf367d11f6b8f88ee483d163b431e1654ad3e89":"":"03":0:1:0:0
RSA Import Raw (-,P,Q,-,E), successive
mbedtls_rsa_import_raw:"":"e79a373182bfaa722eb035f772ad2a9464bd842de59432c18bbab3a7dfeae318c9b915ee487861ab665a40bd6cda560152578e8579016c929df99fea05b4d64efca1d543850bc8164b40d71ed7f3fa4105df0fb9b9ad2a18ce182c8a4f4f975bea9aa0b9a1438a27a28e97ac8330ef37383414d1bd64607d6979ac050424fd17":"c6749cbb0db8c5a177672d4728a8b22392b2fc4d3b8361d5c0d5055a1b4e46d821f757c24eef2a51c561941b93b3ace7340074c058c9bb48e7e7414f42c41da4cccb5c2ba91deb30c586b7fb18af12a52995592ad139d3be429add6547e044becedaf31fa3b39421e24ee034fbf367d11f6b8f88ee483d163b431e1654ad3e89":"":"03":1:1:0:0
RSA Import Raw (N,-,Q,-,E)
mbedtls_rsa_import_raw:"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":"":"c6749cbb0db8c5a177672d4728a8b22392b2fc4d3b8361d5c0d5055a1b4e46d821f757c24eef2a51c561941b93b3ace7340074c058c9bb48e7e7414f42c41da4cccb5c2ba91deb30c586b7fb18af12a52995592ad139d3be429add6547e044becedaf31fa3b39421e24ee034fbf367d11f6b8f88ee483d163b431e1654ad3e89":"":"03":0:1:0:MBEDTLS_ERR_RSA_BAD_INPUT_DATA
RSA Import Raw (N,-,Q,-,E), successive
mbedtls_rsa_import_raw:"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":"":"c6749cbb0db8c5a177672d4728a8b22392b2fc4d3b8361d5c0d5055a1b4e46d821f757c24eef2a51c561941b93b3ace7340074c058c9bb48e7e7414f42c41da4cccb5c2ba91deb30c586b7fb18af12a52995592ad139d3be429add6547e044becedaf31fa3b39421e24ee034fbf367d11f6b8f88ee483d163b431e1654ad3e89":"":"03":1:1:0:MBEDTLS_ERR_RSA_BAD_INPUT_DATA
RSA Import Raw (N,-,-,-,E)
mbedtls_rsa_import_raw:"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":"":"":"":"03":0:0:0:0
RSA Import Raw (N,-,-,-,E), successive
mbedtls_rsa_import_raw:"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":"":"":"":"03":1:0:0:0
RSA Export (N,P,Q,D,E)
mbedtls_rsa_export:16:"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":16:"e79a373182bfaa722eb035f772ad2a9464bd842de59432c18bbab3a7dfeae318c9b915ee487861ab665a40bd6cda560152578e8579016c929df99fea05b4d64efca1d543850bc8164b40d71ed7f3fa4105df0fb9b9ad2a18ce182c8a4f4f975bea9aa0b9a1438a27a28e97ac8330ef37383414d1bd64607d6979ac050424fd17":16:"c6749cbb0db8c5a177672d4728a8b22392b2fc4d3b8361d5c0d5055a1b4e46d821f757c24eef2a51c561941b93b3ace7340074c058c9bb48e7e7414f42c41da4cccb5c2ba91deb30c586b7fb18af12a52995592ad139d3be429add6547e044becedaf31fa3b39421e24ee034fbf367d11f6b8f88ee483d163b431e1654ad3e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
RSA Export (N,P,Q,D,E), successive
mbedtls_rsa_export:16:"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":16:"e79a373182bfaa722eb035f772ad2a9464bd842de59432c18bbab3a7dfeae318c9b915ee487861ab665a40bd6cda560152578e8579016c929df99fea05b4d64efca1d543850bc8164b40d71ed7f3fa4105df0fb9b9ad2a18ce182c8a4f4f975bea9aa0b9a1438a27a28e97ac8330ef37383414d1bd64607d6979ac050424fd17":16:"c6749cbb0db8c5a177672d4728a8b22392b2fc4d3b8361d5c0d5055a1b4e46d821f757c24eef2a51c561941b93b3ace7340074c058c9bb48e7e7414f42c41da4cccb5c2ba91deb30c586b7fb18af12a52995592ad139d3be429add6547e044becedaf31fa3b39421e24ee034fbf367d11f6b8f88ee483d163b431e1654ad3e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
RSA Export (N,-,-,D,E)
mbedtls_rsa_export:16:"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
RSA Export (N,-,-,D,E), succesive
mbedtls_rsa_export:16:"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
RSA Export (N,P,Q,-,E)
mbedtls_rsa_export:16:"b38ac65c8141f7f5c96e14470e851936a67bf94cc6821a39ac12c05f7c0b06d9e6ddba2224703b02e25f31452f9c4a8417b62675fdc6df46b94813bc7b9769a892c482b830bfe0ad42e46668ace68903617faf6681f4babf1cc8e4b0420d3c7f61dc45434c6b54e2c3ee0fc07908509d79c9826e673bf8363255adb0add2401039a7bcd1b4ecf0fbe6ec8369d2da486eec59559dd1d54c9b24190965eafbdab203b35255765261cd0909acf93c3b8b8428cbb448de4715d1b813d0c94829c229543d391ce0adab5351f97a3810c1f73d7b1458b97daed4209c50e16d064d2d5bfda8c23893d755222793146d0a78c3d64f35549141486c3b0961a7b4c1a2034f":16:"e79a373182bfaa722eb035f772ad2a9464bd842de59432c18bbab3a7dfeae318c9b915ee487861ab665a40bd6cda560152578e8579016c929df99fea05b4d64efca1d543850bc8164b40d71ed7f3fa4105df0fb9b9ad2a18ce182c8a4f4f975bea9aa0b9a1438a27a28e97ac8330ef37383414d1bd64607d6979ac050424fd17":16:"c6749cbb0db8c5a177672d4728a8b22392b2fc4d3b8361d5c0d5055a1b4e46d821f757c24eef2a51c561941b93b3ace7340074c058c9bb48e7e7414f42c41da4cccb5c2ba91deb30c586b7fb18af12a52995592ad139d3be429add6547e044becedaf31fa3b39421e24ee034fbf367d11f6b8f88ee483d163b431e1654ad3e89":16:"":16:"3":1:0
RSA Export (N,P,Q,-,E), successive
mbedtls_rsa_export:16:"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":16:"e79a373182bfaa722eb035f772ad2a9464bd842de59432c18bbab3a7dfeae318c9b915ee487861ab665a40bd6cda560152578e8579016c929df99fea05b4d64efca1d543850bc8164b40d71ed7f3fa4105df0fb9b9ad2a18ce182c8a4f4f975bea9aa0b9a1438a27a28e97ac8330ef37383414d1bd64607d6979ac050424fd17":16:"c6749cbb0db8c5a177672d4728a8b22392b2fc4d3b8361d5c0d5055a1b4e46d821f757c24eef2a51c561941b93b3ace7340074c058c9bb48e7e7414f42c41da4cccb5c2ba91deb30c586b7fb18af12a52995592ad139d3be429add6547e044becedaf31fa3b39421e24ee034fbf367d11f6b8f88ee483d163b431e1654ad3e89":16:"":16:"3":1:1
RSA Export (N,-,-,-,E)
mbedtls_rsa_export:16:"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":16:"":16:"":16:"":16:"3":0:0
RSA Export Raw (N,P,Q,D,E)
mbedtls_rsa_export_raw:"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":"e79a373182bfaa722eb035f772ad2a9464bd842de59432c18bbab3a7dfeae318c9b915ee487861ab665a40bd6cda560152578e8579016c929df99fea05b4d64efca1d543850bc8164b40d71ed7f3fa4105df0fb9b9ad2a18ce182c8a4f4f975bea9aa0b9a1438a27a28e97ac8330ef37383414d1bd64607d6979ac050424fd17":"c6749cbb0db8c5a177672d4728a8b22392b2fc4d3b8361d5c0d5055a1b4e46d821f757c24eef2a51c561941b93b3ace7340074c058c9bb48e7e7414f42c41da4cccb5c2ba91deb30c586b7fb18af12a52995592ad139d3be429add6547e044becedaf31fa3b39421e24ee034fbf367d11f6b8f88ee483d163b431e1654ad3e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
RSA Export Raw (N,P,Q,D,E), successive
mbedtls_rsa_export_raw:"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":"e79a373182bfaa722eb035f772ad2a9464bd842de59432c18bbab3a7dfeae318c9b915ee487861ab665a40bd6cda560152578e8579016c929df99fea05b4d64efca1d543850bc8164b40d71ed7f3fa4105df0fb9b9ad2a18ce182c8a4f4f975bea9aa0b9a1438a27a28e97ac8330ef37383414d1bd64607d6979ac050424fd17":"c6749cbb0db8c5a177672d4728a8b22392b2fc4d3b8361d5c0d5055a1b4e46d821f757c24eef2a51c561941b93b3ace7340074c058c9bb48e7e7414f42c41da4cccb5c2ba91deb30c586b7fb18af12a52995592ad139d3be429add6547e044becedaf31fa3b39421e24ee034fbf367d11f6b8f88ee483d163b431e1654ad3e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
RSA Export Raw (N,-,-,D,E)
mbedtls_rsa_export_raw:"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
RSA Export Raw (N,-,-,D,E), succesive
mbedtls_rsa_export_raw:"b38ac65c8141f7f5c96e14470e851936a67bf94cc6821a39ac12c05f7c0b06d9e6ddba2224703b02e25f31452f9c4a8417b62675fdc6df46b94813bc7b9769a892c482b830bfe0ad42e46668ace68903617faf6681f4babf1cc8e4b0420d3c7f61dc45434c6b54e2c3ee0fc07908509d79c9826e673bf8363255adb0add2401039a7bcd1b4ecf0fbe6ec8369d2da486eec59559dd1d54c9b24190965eafbdab203b35255765261cd0909acf93c3b8b8428cbb448de4715d1b813d0c94829c229543d391ce0adab5351f97a3810c1f73d7b1458b97daed4209c50e16d064d2d5bfda8c23893d755222793146d0a78c3d64f35549141486c3b0961a7b4c1a2034f":"":"":"77B1D99300D6A54E864962DA09AE10CF19A7FB888456BC2672B72AEA52B204914493D16C184AD201EC3F762E1FBD8702BA796EF953D9EA2F26300D285264F11B0C8301D0207FEB1E2C984445C899B0ACEBAA74EF014DD1D4BDDB43202C08D2FF9692D8D788478DEC829EB52AFB5AE068FBDBAC499A27FACECC391E75C936D55F07BB45EE184DAB45808E15722502F279F89B38C1CB292557E5063597F52C75D61001EDC33F4739353E33E56AD273B067C1A2760208529EA421774A5FFFCB3423B1E0051E7702A55D80CBF2141569F18F87BFF538A1DA8EDBB2693A539F68E0D62D77743F89EACF3B1723BDB25CE2F333FA63CACF0E67DF1A431893BB9B352FCB":"03":1:1
RSA Export Raw (N,P,Q,-,E)
mbedtls_rsa_export_raw:"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":"e79a373182bfaa722eb035f772ad2a9464bd842de59432c18bbab3a7dfeae318c9b915ee487861ab665a40bd6cda560152578e8579016c929df99fea05b4d64efca1d543850bc8164b40d71ed7f3fa4105df0fb9b9ad2a18ce182c8a4f4f975bea9aa0b9a1438a27a28e97ac8330ef37383414d1bd64607d6979ac050424fd17":"c6749cbb0db8c5a177672d4728a8b22392b2fc4d3b8361d5c0d5055a1b4e46d821f757c24eef2a51c561941b93b3ace7340074c058c9bb48e7e7414f42c41da4cccb5c2ba91deb30c586b7fb18af12a52995592ad139d3be429add6547e044becedaf31fa3b39421e24ee034fbf367d11f6b8f88ee483d163b431e1654ad3e89":"":"03":1:0
RSA Export Raw (N,P,Q,-,E), successive
mbedtls_rsa_export_raw:"b38ac65c8141f7f5c96e14470e851936a67bf94cc6821a39ac12c05f7c0b06d9e6ddba2224703b02e25f31452f9c4a8417b62675fdc6df46b94813bc7b9769a892c482b830bfe0ad42e46668ace68903617faf6681f4babf1cc8e4b0420d3c7f61dc45434c6b54e2c3ee0fc07908509d79c9826e673bf8363255adb0add2401039a7bcd1b4ecf0fbe6ec8369d2da486eec59559dd1d54c9b24190965eafbdab203b35255765261cd0909acf93c3b8b8428cbb448de4715d1b813d0c94829c229543d391ce0adab5351f97a3810c1f73d7b1458b97daed4209c50e16d064d2d5bfda8c23893d755222793146d0a78c3d64f35549141486c3b0961a7b4c1a2034f":"e79a373182bfaa722eb035f772ad2a9464bd842de59432c18bbab3a7dfeae318c9b915ee487861ab665a40bd6cda560152578e8579016c929df99fea05b4d64efca1d543850bc8164b40d71ed7f3fa4105df0fb9b9ad2a18ce182c8a4f4f975bea9aa0b9a1438a27a28e97ac8330ef37383414d1bd64607d6979ac050424fd17":"c6749cbb0db8c5a177672d4728a8b22392b2fc4d3b8361d5c0d5055a1b4e46d821f757c24eef2a51c561941b93b3ace7340074c058c9bb48e7e7414f42c41da4cccb5c2ba91deb30c586b7fb18af12a52995592ad139d3be429add6547e044becedaf31fa3b39421e24ee034fbf367d11f6b8f88ee483d163b431e1654ad3e89":"":"03":1:1
RSA Export Raw (N,-,-,-,E)
mbedtls_rsa_export_raw:"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":"":"":"":"03":0:0
RSA PKCS1 Encrypt Bad RNG
depends_on:MBEDTLS_PKCS1_V15
rsa_pkcs1_encrypt_bad_rng:"4E636AF98E40F3ADCFCCB698F4E80B9F":MBEDTLS_RSA_PKCS_V15:2048:16:"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":16:"3":"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":MBEDTLS_ERR_RSA_RNG_FAILED

921
tests/suites/test_suite_rsa.function
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