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API Documentation (Doxygen generated)

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rsa.h File Reference

This file provides an API for the RSA public-key cryptosystem. More...

#include "config.h"
#include "bignum.h"
#include "md.h"
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Data Structures

struct  mbedtls_rsa_context
 The RSA context structure. More...
 

Macros

#define MBEDTLS_ERR_RSA_BAD_INPUT_DATA   -0x4080
 Bad input parameters to function. More...
 
#define MBEDTLS_ERR_RSA_INVALID_PADDING   -0x4100
 Input data contains invalid padding and is rejected. More...
 
#define MBEDTLS_ERR_RSA_KEY_GEN_FAILED   -0x4180
 Something failed during generation of a key. More...
 
#define MBEDTLS_ERR_RSA_KEY_CHECK_FAILED   -0x4200
 Key failed to pass the validity check of the library. More...
 
#define MBEDTLS_ERR_RSA_PUBLIC_FAILED   -0x4280
 The public key operation failed. More...
 
#define MBEDTLS_ERR_RSA_PRIVATE_FAILED   -0x4300
 The private key operation failed. More...
 
#define MBEDTLS_ERR_RSA_VERIFY_FAILED   -0x4380
 The PKCS#1 verification failed. More...
 
#define MBEDTLS_ERR_RSA_OUTPUT_TOO_LARGE   -0x4400
 The output buffer for decryption is not large enough. More...
 
#define MBEDTLS_ERR_RSA_RNG_FAILED   -0x4480
 The random generator failed to generate non-zeros. More...
 
#define MBEDTLS_ERR_RSA_UNSUPPORTED_OPERATION   -0x4500
 The implementation does not offer the requested operation, for example, because of security violations or lack of functionality. More...
 
#define MBEDTLS_ERR_RSA_HW_ACCEL_FAILED   -0x4580
 RSA hardware accelerator failed. More...
 
#define MBEDTLS_RSA_PUBLIC   0
 Request private key operation. More...
 
#define MBEDTLS_RSA_PRIVATE   1
 Request public key operation. More...
 
#define MBEDTLS_RSA_PKCS_V15   0
 Use PKCS#1 v1.5 encoding. More...
 
#define MBEDTLS_RSA_PKCS_V21   1
 Use PKCS#1 v2.1 encoding. More...
 
#define MBEDTLS_RSA_SIGN   1
 Identifier for RSA signature operations. More...
 
#define MBEDTLS_RSA_CRYPT   2
 Identifier for RSA encryption and decryption operations. More...
 
#define MBEDTLS_RSA_SALT_LEN_ANY   -1
 

Typedefs

typedef struct mbedtls_rsa_context mbedtls_rsa_context
 The RSA context structure. More...
 

Functions

void mbedtls_rsa_init (mbedtls_rsa_context *ctx, int padding, int hash_id)
 This function initializes an RSA context. More...
 
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)
 This function imports a set of core parameters into an RSA context. More...
 
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)
 This function imports core RSA parameters, in raw big-endian binary format, into an RSA context. More...
 
int mbedtls_rsa_complete (mbedtls_rsa_context *ctx)
 This function completes an RSA context from a set of imported core parameters. More...
 
int mbedtls_rsa_export (const mbedtls_rsa_context *ctx, mbedtls_mpi *N, mbedtls_mpi *P, mbedtls_mpi *Q, mbedtls_mpi *D, mbedtls_mpi *E)
 This function exports the core parameters of an RSA key. More...
 
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)
 This function exports core parameters of an RSA key in raw big-endian binary format. More...
 
int mbedtls_rsa_export_crt (const mbedtls_rsa_context *ctx, mbedtls_mpi *DP, mbedtls_mpi *DQ, mbedtls_mpi *QP)
 This function exports CRT parameters of a private RSA key. More...
 
void mbedtls_rsa_set_padding (mbedtls_rsa_context *ctx, int padding, int hash_id)
 This function sets padding for an already initialized RSA context. More...
 
size_t mbedtls_rsa_get_len (const mbedtls_rsa_context *ctx)
 This function retrieves the length of RSA modulus in Bytes. More...
 
int mbedtls_rsa_gen_key (mbedtls_rsa_context *ctx, int(*f_rng)(void *, unsigned char *, size_t), void *p_rng, unsigned int nbits, int exponent)
 This function generates an RSA keypair. More...
 
int mbedtls_rsa_check_pubkey (const mbedtls_rsa_context *ctx)
 This function checks if a context contains at least an RSA public key. More...
 
int mbedtls_rsa_check_privkey (const mbedtls_rsa_context *ctx)
 This function checks if a context contains an RSA private key and perform basic consistency checks. More...
 
int mbedtls_rsa_check_pub_priv (const mbedtls_rsa_context *pub, const mbedtls_rsa_context *prv)
 This function checks a public-private RSA key pair. More...
 
int mbedtls_rsa_public (mbedtls_rsa_context *ctx, const unsigned char *input, unsigned char *output)
 This function performs an RSA public key operation. More...
 
int mbedtls_rsa_private (mbedtls_rsa_context *ctx, int(*f_rng)(void *, unsigned char *, size_t), void *p_rng, const unsigned char *input, unsigned char *output)
 This function performs an RSA private key operation. More...
 
int mbedtls_rsa_pkcs1_encrypt (mbedtls_rsa_context *ctx, int(*f_rng)(void *, unsigned char *, size_t), void *p_rng, int mode, size_t ilen, const unsigned char *input, unsigned char *output)
 This function adds the message padding, then performs an RSA operation. More...
 
int mbedtls_rsa_rsaes_pkcs1_v15_encrypt (mbedtls_rsa_context *ctx, int(*f_rng)(void *, unsigned char *, size_t), void *p_rng, int mode, size_t ilen, const unsigned char *input, unsigned char *output)
 This function performs a PKCS#1 v1.5 encryption operation (RSAES-PKCS1-v1_5-ENCRYPT). More...
 
int mbedtls_rsa_rsaes_oaep_encrypt (mbedtls_rsa_context *ctx, int(*f_rng)(void *, unsigned char *, size_t), void *p_rng, int mode, const unsigned char *label, size_t label_len, size_t ilen, const unsigned char *input, unsigned char *output)
 This function performs a PKCS#1 v2.1 OAEP encryption operation (RSAES-OAEP-ENCRYPT). More...
 
int mbedtls_rsa_pkcs1_decrypt (mbedtls_rsa_context *ctx, int(*f_rng)(void *, unsigned char *, size_t), void *p_rng, int mode, size_t *olen, const unsigned char *input, unsigned char *output, size_t output_max_len)
 This function performs an RSA operation, then removes the message padding. More...
 
int mbedtls_rsa_rsaes_pkcs1_v15_decrypt (mbedtls_rsa_context *ctx, int(*f_rng)(void *, unsigned char *, size_t), void *p_rng, int mode, size_t *olen, const unsigned char *input, unsigned char *output, size_t output_max_len)
 This function performs a PKCS#1 v1.5 decryption operation (RSAES-PKCS1-v1_5-DECRYPT). More...
 
int mbedtls_rsa_rsaes_oaep_decrypt (mbedtls_rsa_context *ctx, int(*f_rng)(void *, unsigned char *, size_t), void *p_rng, int mode, const unsigned char *label, size_t label_len, size_t *olen, const unsigned char *input, unsigned char *output, size_t output_max_len)
 This function performs a PKCS#1 v2.1 OAEP decryption operation (RSAES-OAEP-DECRYPT). More...
 
int mbedtls_rsa_pkcs1_sign (mbedtls_rsa_context *ctx, int(*f_rng)(void *, unsigned char *, size_t), void *p_rng, int mode, mbedtls_md_type_t md_alg, unsigned int hashlen, const unsigned char *hash, unsigned char *sig)
 This function performs a private RSA operation to sign a message digest using PKCS#1. More...
 
int mbedtls_rsa_rsassa_pkcs1_v15_sign (mbedtls_rsa_context *ctx, int(*f_rng)(void *, unsigned char *, size_t), void *p_rng, int mode, mbedtls_md_type_t md_alg, unsigned int hashlen, const unsigned char *hash, unsigned char *sig)
 This function performs a PKCS#1 v1.5 signature operation (RSASSA-PKCS1-v1_5-SIGN). More...
 
int mbedtls_rsa_rsassa_pss_sign (mbedtls_rsa_context *ctx, int(*f_rng)(void *, unsigned char *, size_t), void *p_rng, int mode, mbedtls_md_type_t md_alg, unsigned int hashlen, const unsigned char *hash, unsigned char *sig)
 This function performs a PKCS#1 v2.1 PSS signature operation (RSASSA-PSS-SIGN). More...
 
int mbedtls_rsa_pkcs1_verify (mbedtls_rsa_context *ctx, int(*f_rng)(void *, unsigned char *, size_t), void *p_rng, int mode, mbedtls_md_type_t md_alg, unsigned int hashlen, const unsigned char *hash, const unsigned char *sig)
 This function performs a public RSA operation and checks the message digest. More...
 
int mbedtls_rsa_rsassa_pkcs1_v15_verify (mbedtls_rsa_context *ctx, int(*f_rng)(void *, unsigned char *, size_t), void *p_rng, int mode, mbedtls_md_type_t md_alg, unsigned int hashlen, const unsigned char *hash, const unsigned char *sig)
 This function performs a PKCS#1 v1.5 verification operation (RSASSA-PKCS1-v1_5-VERIFY). More...
 
int mbedtls_rsa_rsassa_pss_verify (mbedtls_rsa_context *ctx, int(*f_rng)(void *, unsigned char *, size_t), void *p_rng, int mode, mbedtls_md_type_t md_alg, unsigned int hashlen, const unsigned char *hash, const unsigned char *sig)
 This function performs a PKCS#1 v2.1 PSS verification operation (RSASSA-PSS-VERIFY). More...
 
int mbedtls_rsa_rsassa_pss_verify_ext (mbedtls_rsa_context *ctx, int(*f_rng)(void *, unsigned char *, size_t), void *p_rng, int mode, mbedtls_md_type_t md_alg, unsigned int hashlen, const unsigned char *hash, mbedtls_md_type_t mgf1_hash_id, int expected_salt_len, const unsigned char *sig)
 This function performs a PKCS#1 v2.1 PSS verification operation (RSASSA-PSS-VERIFY). More...
 
int mbedtls_rsa_copy (mbedtls_rsa_context *dst, const mbedtls_rsa_context *src)
 This function copies the components of an RSA context. More...
 
void mbedtls_rsa_free (mbedtls_rsa_context *ctx)
 This function frees the components of an RSA key. More...
 
int mbedtls_rsa_self_test (int verbose)
 The RSA checkup routine. More...
 

Detailed Description

This file provides an API for the RSA public-key cryptosystem.

The RSA public-key cryptosystem is defined in Public-Key Cryptography Standards (PKCS) #1 v1.5: RSA Encryption and Public-Key Cryptography Standards (PKCS) #1 v2.1: RSA Cryptography Specifications.

Definition in file rsa.h.

Macro Definition Documentation

#define MBEDTLS_ERR_RSA_BAD_INPUT_DATA   -0x4080

Bad input parameters to function.

Definition at line 49 of file rsa.h.

#define MBEDTLS_ERR_RSA_HW_ACCEL_FAILED   -0x4580

RSA hardware accelerator failed.

Definition at line 59 of file rsa.h.

#define MBEDTLS_ERR_RSA_INVALID_PADDING   -0x4100

Input data contains invalid padding and is rejected.

Definition at line 50 of file rsa.h.

#define MBEDTLS_ERR_RSA_KEY_CHECK_FAILED   -0x4200

Key failed to pass the validity check of the library.

Definition at line 52 of file rsa.h.

#define MBEDTLS_ERR_RSA_KEY_GEN_FAILED   -0x4180

Something failed during generation of a key.

Definition at line 51 of file rsa.h.

#define MBEDTLS_ERR_RSA_OUTPUT_TOO_LARGE   -0x4400

The output buffer for decryption is not large enough.

Definition at line 56 of file rsa.h.

#define MBEDTLS_ERR_RSA_PRIVATE_FAILED   -0x4300

The private key operation failed.

Definition at line 54 of file rsa.h.

#define MBEDTLS_ERR_RSA_PUBLIC_FAILED   -0x4280

The public key operation failed.

Definition at line 53 of file rsa.h.

#define MBEDTLS_ERR_RSA_RNG_FAILED   -0x4480

The random generator failed to generate non-zeros.

Definition at line 57 of file rsa.h.

#define MBEDTLS_ERR_RSA_UNSUPPORTED_OPERATION   -0x4500

The implementation does not offer the requested operation, for example, because of security violations or lack of functionality.

Definition at line 58 of file rsa.h.

#define MBEDTLS_ERR_RSA_VERIFY_FAILED   -0x4380

The PKCS#1 verification failed.

Definition at line 55 of file rsa.h.

#define MBEDTLS_RSA_CRYPT   2

Identifier for RSA encryption and decryption operations.

Definition at line 71 of file rsa.h.

#define MBEDTLS_RSA_PKCS_V15   0

Use PKCS#1 v1.5 encoding.

Definition at line 67 of file rsa.h.

#define MBEDTLS_RSA_PKCS_V21   1

Use PKCS#1 v2.1 encoding.

Definition at line 68 of file rsa.h.

#define MBEDTLS_RSA_PRIVATE   1

Request public key operation.

Definition at line 65 of file rsa.h.

#define MBEDTLS_RSA_PUBLIC   0

Request private key operation.

Definition at line 64 of file rsa.h.

#define MBEDTLS_RSA_SALT_LEN_ANY   -1

Definition at line 73 of file rsa.h.

#define MBEDTLS_RSA_SIGN   1

Identifier for RSA signature operations.

Definition at line 70 of file rsa.h.

Typedef Documentation

The RSA context structure.

Note
Direct manipulation of the members of this structure is deprecated. All manipulation should instead be done through the public interface functions.

Function Documentation

int mbedtls_rsa_check_privkey ( const mbedtls_rsa_context ctx)

This function checks if a context contains an RSA private key and perform basic consistency checks.

Note
The consistency checks performed by this function not only ensure that 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 mbedtls_rsa_public() and 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:
  • Consistency: Imported parameters that are irrelevant for the implementation might be silently dropped. If dropped, the current function does not have access to them, and therefore cannot check them. See mbedtls_rsa_complete(). If you want to check the consistency of the entire content of an PKCS1-encoded RSA private key, for example, you should use mbedtls_rsa_validate_params() before setting up the RSA context. Additionally, if the implementation performs empirical checks, these checks substantiate but do not guarantee consistency.
  • Quality: This function is not expected to perform extended quality assessments like checking that the prime factors are safe. Additionally, it is the responsibility of the user to ensure the trustworthiness of the source of his RSA parameters, which goes beyond what is effectively checkable by the library.
Parameters
ctxThe RSA context to check.
Returns
0 on success.
An MBEDTLS_ERR_RSA_XXX error code on failure.
int mbedtls_rsa_check_pub_priv ( const mbedtls_rsa_context pub,
const mbedtls_rsa_context prv 
)

This function checks a public-private RSA key pair.

It checks each of the contexts, and makes sure they match.

Parameters
pubThe RSA context holding the public key.
prvThe RSA context holding the private key.
Returns
0 on success.
An MBEDTLS_ERR_RSA_XXX error code on failure.
int mbedtls_rsa_check_pubkey ( const mbedtls_rsa_context ctx)

This function checks if a context contains at least an RSA public key.

If the function runs successfully, it is guaranteed that enough information is present to perform an RSA public key operation using mbedtls_rsa_public().

Parameters
ctxThe RSA context to check.
Returns
0 on success.
An MBEDTLS_ERR_RSA_XXX error code on failure.
int mbedtls_rsa_complete ( mbedtls_rsa_context ctx)

This function completes an RSA context from a set of imported core parameters.

To setup an RSA public key, precisely N and E must have been imported.

To setup an RSA private key, sufficient 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.

If this function runs successfully, it guarantees that the RSA context can be used for RSA operations without the risk of failure or crash.

Warning
This function need not perform consistency checks for the imported parameters. In particular, parameters that are not needed by the implementation might be silently discarded and left unchecked. To check the consistency of the key material, see mbedtls_rsa_check_privkey().
Parameters
ctxThe initialized RSA context holding imported parameters.
Returns
0 on success.
MBEDTLS_ERR_RSA_BAD_INPUT_DATA if the attempted derivations failed.
int mbedtls_rsa_copy ( mbedtls_rsa_context dst,
const mbedtls_rsa_context src 
)

This function copies the components of an RSA context.

Parameters
dstThe destination context.
srcThe source context.
Returns
0 on success.
MBEDTLS_ERR_MPI_ALLOC_FAILED on memory allocation failure.
int mbedtls_rsa_export ( const mbedtls_rsa_context ctx,
mbedtls_mpi N,
mbedtls_mpi P,
mbedtls_mpi Q,
mbedtls_mpi D,
mbedtls_mpi E 
)

This function exports the core parameters of an RSA key.

If this function runs successfully, the non-NULL buffers pointed to by N, P, Q, D, and E are fully written, with additional unused space filled leading by zero Bytes.

Possible reasons for returning MBEDTLS_ERR_RSA_UNSUPPORTED_OPERATION:

  • An alternative RSA implementation is in use, which stores the key externally, and either cannot or should not export it into RAM.
  • A SW or HW implementation might not support a certain deduction. For example, P, Q from N, D, and E if the former are not part of the implementation.

If the function fails due to an unsupported operation, the RSA context stays intact and remains usable.

Parameters
ctxThe initialized RSA context.
NThe MPI to hold the RSA modulus, or NULL.
PThe MPI to hold the first prime factor of N, or NULL.
QThe MPI to hold the second prime factor of N, or NULL.
DThe MPI to hold the private exponent, or NULL.
EThe MPI to hold the public exponent, or NULL.
Returns
0 on success.
MBEDTLS_ERR_RSA_UNSUPPORTED_OPERATION if exporting the requested parameters cannot be done due to missing functionality or because of security policies.
A non-zero return code on any other failure.
int mbedtls_rsa_export_crt ( const mbedtls_rsa_context ctx,
mbedtls_mpi DP,
mbedtls_mpi DQ,
mbedtls_mpi QP 
)

This function exports CRT parameters of a private RSA key.

Note
Alternative RSA implementations not using CRT-parameters internally can implement this function based on mbedtls_rsa_deduce_opt().
Parameters
ctxThe initialized RSA context.
DPThe MPI to hold D modulo P-1, or NULL.
DQThe MPI to hold D modulo Q-1, or NULL.
QPThe MPI to hold modular inverse of Q modulo P, or NULL.
Returns
0 on success.
A non-zero error code on failure.
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 
)

This function exports core parameters of an RSA key in raw big-endian binary format.

If this function runs successfully, the non-NULL buffers pointed to by N, P, Q, D, and E are fully written, with additional unused space filled leading by zero Bytes.

Possible reasons for returning MBEDTLS_ERR_RSA_UNSUPPORTED_OPERATION:

  • An alternative RSA implementation is in use, which stores the key externally, and either cannot or should not export it into RAM.
  • A SW or HW implementation might not support a certain deduction. For example, P, Q from N, D, and E if the former are not part of the implementation.

If the function fails due to an unsupported operation, the RSA context stays intact and remains usable.

Note
The length parameters are ignored if the corresponding buffer pointers are NULL.
Parameters
ctxThe initialized RSA context.
NThe Byte array to store the RSA modulus, or NULL.
N_lenThe size of the buffer for the modulus.
PThe Byte array to hold the first prime factor of N, or NULL.
P_lenThe size of the buffer for the first prime factor.
QThe Byte array to hold the second prime factor of N, or NULL.
Q_lenThe size of the buffer for the second prime factor.
DThe Byte array to hold the private exponent, or NULL.
D_lenThe size of the buffer for the private exponent.
EThe Byte array to hold the public exponent, or NULL.
E_lenThe size of the buffer for the public exponent.
Returns
0 on success.
MBEDTLS_ERR_RSA_UNSUPPORTED_OPERATION if exporting the requested parameters cannot be done due to missing functionality or because of security policies.
A non-zero return code on any other failure.
void mbedtls_rsa_free ( mbedtls_rsa_context ctx)

This function frees the components of an RSA key.

Parameters
ctxThe RSA Context to free.
int mbedtls_rsa_gen_key ( mbedtls_rsa_context ctx,
int(*)(void *, unsigned char *, size_t)  f_rng,
void *  p_rng,
unsigned int  nbits,
int  exponent 
)

This function generates an RSA keypair.

Note
mbedtls_rsa_init() must be called before this function, to set up the RSA context.
Parameters
ctxThe RSA context used to hold the key.
f_rngThe RNG function.
p_rngThe RNG context.
nbitsThe size of the public key in bits.
exponentThe public exponent. For example, 65537.
Returns
0 on success.
An MBEDTLS_ERR_RSA_XXX error code on failure.
size_t mbedtls_rsa_get_len ( const mbedtls_rsa_context ctx)

This function retrieves the length of RSA modulus in Bytes.

Parameters
ctxThe initialized RSA context.
Returns
The length of the RSA modulus in Bytes.
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 
)

This function imports a set of core parameters into an RSA context.

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 mbedtls_rsa_complete(), which checks and completes the provided information to a ready-for-use public or private RSA key.

Note
See mbedtls_rsa_complete() for more information on which parameters are necessary to set up a private or public RSA key.
The imported parameters are copied and need not be preserved for the lifetime of the RSA context being set up.
Parameters
ctxThe initialized RSA context to store the parameters in.
NThe RSA modulus, or NULL.
PThe first prime factor of N, or NULL.
QThe second prime factor of N, or NULL.
DThe private exponent, or NULL.
EThe public exponent, or NULL.
Returns
0 on success.
A 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 
)

This function imports core RSA parameters, in raw big-endian binary format, into an RSA context.

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 mbedtls_rsa_complete(), which checks and completes the provided information to a ready-for-use public or private RSA key.

Note
See mbedtls_rsa_complete() for more information on which parameters are necessary to set up a private or public RSA key.
The imported parameters are copied and need not be preserved for the lifetime of the RSA context being set up.
Parameters
ctxThe initialized RSA context to store the parameters in.
NThe RSA modulus, or NULL.
N_lenThe Byte length of N, ignored if N == NULL.
PThe first prime factor of N, or NULL.
P_lenThe Byte length of P, ignored if P == NULL.
QThe second prime factor of N, or NULL.
Q_lenThe Byte length of Q, ignored if Q == NULL.
DThe private exponent, or NULL.
D_lenThe Byte length of D, ignored if D == NULL.
EThe public exponent, or NULL.
E_lenThe Byte length of E, ignored if E == NULL.
Returns
0 on success.
A non-zero error code on failure.
void mbedtls_rsa_init ( mbedtls_rsa_context ctx,
int  padding,
int  hash_id 
)

This function initializes an RSA context.

Note
Set padding to MBEDTLS_RSA_PKCS_V21 for the RSAES-OAEP encryption scheme and the RSASSA-PSS signature scheme.
The hash_id parameter is ignored when using MBEDTLS_RSA_PKCS_V15 padding.
The choice of padding mode is strictly enforced for private key operations, since there might be security concerns in mixing padding modes. For public key operations it is a default value, which can be overriden by calling specific rsa_rsaes_xxx or rsa_rsassa_xxx functions.
The hash selected in hash_id is always used for OEAP encryption. For PSS signatures, it is always used for making signatures, but can be overriden for verifying them. If set to MBEDTLS_MD_NONE, it is always overriden.
Parameters
ctxThe RSA context to initialize.
paddingSelects padding mode: MBEDTLS_RSA_PKCS_V15 or MBEDTLS_RSA_PKCS_V21.
hash_idThe hash identifier of mbedtls_md_type_t type, if padding is MBEDTLS_RSA_PKCS_V21.
int mbedtls_rsa_pkcs1_decrypt ( mbedtls_rsa_context ctx,
int(*)(void *, unsigned char *, size_t)  f_rng,
void *  p_rng,
int  mode,
size_t *  olen,
const unsigned char *  input,
unsigned char *  output,
size_t  output_max_len 
)

This function performs an RSA operation, then removes the message padding.

It is the generic wrapper for performing a PKCS#1 decryption operation using the mode from the context.

Note
The output buffer length output_max_len should be as large as the size ctx->len of ctx->N (for example, 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 returns MBEDTLS_ERR_RSA_OUTPUT_TOO_LARGE.
The input buffer must be as large as the size of ctx->N. For example, 128 Bytes if RSA-1024 is used.
Deprecated:
It is deprecated and discouraged to call this function in MBEDTLS_RSA_PUBLIC mode. Future versions of the library are likely to remove the mode argument and have it implicitly set to MBEDTLS_RSA_PRIVATE.
Note
Alternative implementations of RSA need not support mode being set to MBEDTLS_RSA_PUBLIC and might instead return MBEDTLS_ERR_RSA_UNSUPPORTED_OPERATION.
Parameters
ctxThe RSA context.
f_rngThe RNG function. Only needed for MBEDTLS_RSA_PRIVATE.
p_rngThe RNG context.
modeMBEDTLS_RSA_PUBLIC or MBEDTLS_RSA_PRIVATE.
olenThe length of the plaintext.
inputThe buffer holding the encrypted data.
outputThe buffer used to hold the plaintext.
output_max_lenThe maximum length of the output buffer.
Returns
0 on success.
An MBEDTLS_ERR_RSA_XXX error code on failure.
int mbedtls_rsa_pkcs1_encrypt ( mbedtls_rsa_context ctx,
int(*)(void *, unsigned char *, size_t)  f_rng,
void *  p_rng,
int  mode,
size_t  ilen,
const unsigned char *  input,
unsigned char *  output 
)

This function adds the message padding, then performs an RSA operation.

It is the generic wrapper for performing a PKCS#1 encryption operation using the mode from the context.

Note
The input and output buffers must be as large as the size of ctx->N. For example, 128 Bytes if RSA-1024 is used.
Deprecated:
It is deprecated and discouraged to call this function in MBEDTLS_RSA_PRIVATE mode. Future versions of the library are likely to remove the mode argument and have it implicitly set to MBEDTLS_RSA_PUBLIC.
Note
Alternative implementations of RSA need not support mode being set to MBEDTLS_RSA_PRIVATE and might instead return MBEDTLS_ERR_RSA_UNSUPPORTED_OPERATION.
Parameters
ctxThe RSA context.
f_rngThe RNG function. Needed for padding, PKCS#1 v2.1 encoding, and MBEDTLS_RSA_PRIVATE.
p_rngThe RNG context.
modeMBEDTLS_RSA_PUBLIC or MBEDTLS_RSA_PRIVATE.
ilenThe length of the plaintext.
inputThe buffer holding the data to encrypt.
outputThe buffer used to hold the ciphertext.
Returns
0 on success.
An MBEDTLS_ERR_RSA_XXX error code on failure.
int mbedtls_rsa_pkcs1_sign ( mbedtls_rsa_context ctx,
int(*)(void *, unsigned char *, size_t)  f_rng,
void *  p_rng,
int  mode,
mbedtls_md_type_t  md_alg,
unsigned int  hashlen,
const unsigned char *  hash,
unsigned char *  sig 
)

This function performs a private RSA operation to sign a message digest using PKCS#1.

It is the generic wrapper for performing a PKCS#1 signature using the mode from the context.

Note
The sig buffer must be as large as the size of ctx->N. For example, 128 Bytes if RSA-1024 is used.
For PKCS#1 v2.1 encoding, see comments on mbedtls_rsa_rsassa_pss_sign() for details on md_alg and hash_id.
Deprecated:
It is deprecated and discouraged to call this function in MBEDTLS_RSA_PUBLIC mode. Future versions of the library are likely to remove the mode argument and have it implicitly set to MBEDTLS_RSA_PRIVATE.
Note
Alternative implementations of RSA need not support mode being set to MBEDTLS_RSA_PUBLIC and might instead return MBEDTLS_ERR_RSA_UNSUPPORTED_OPERATION.
Parameters
ctxThe RSA context.
f_rngThe RNG function. Needed for PKCS#1 v2.1 encoding and for MBEDTLS_RSA_PRIVATE.
p_rngThe RNG context.
modeMBEDTLS_RSA_PUBLIC or MBEDTLS_RSA_PRIVATE.
md_algThe message-digest algorithm used to hash the original data. Use MBEDTLS_MD_NONE for signing raw data.
hashlenThe length of the message digest. Only used if md_alg is MBEDTLS_MD_NONE.
hashThe buffer holding the message digest.
sigThe buffer to hold the ciphertext.
Returns
0 if the signing operation was successful.
An MBEDTLS_ERR_RSA_XXX error code on failure.
int mbedtls_rsa_pkcs1_verify ( mbedtls_rsa_context ctx,
int(*)(void *, unsigned char *, size_t)  f_rng,
void *  p_rng,
int  mode,
mbedtls_md_type_t  md_alg,
unsigned int  hashlen,
const unsigned char *  hash,
const unsigned char *  sig 
)

This function performs a public RSA operation and checks the message digest.

This is the generic wrapper for performing a PKCS#1 verification using the mode from the context.

Note
The sig buffer must be as large as the size of ctx->N. For example, 128 Bytes if RSA-1024 is used.
For PKCS#1 v2.1 encoding, see comments on mbedtls_rsa_rsassa_pss_verify() about md_alg and hash_id.
Deprecated:
It is deprecated and discouraged to call this function in MBEDTLS_RSA_PRIVATE mode. Future versions of the library are likely to remove the mode argument and have it set to MBEDTLS_RSA_PUBLIC.
Note
Alternative implementations of RSA need not support mode being set to MBEDTLS_RSA_PRIVATE and might instead return MBEDTLS_ERR_RSA_UNSUPPORTED_OPERATION.
Parameters
ctxThe RSA public key context.
f_rngThe RNG function. Only needed for MBEDTLS_RSA_PRIVATE.
p_rngThe RNG context.
modeMBEDTLS_RSA_PUBLIC or MBEDTLS_RSA_PRIVATE.
md_algThe message-digest algorithm used to hash the original data. Use MBEDTLS_MD_NONE for signing raw data.
hashlenThe length of the message digest. Only used if md_alg is MBEDTLS_MD_NONE.
hashThe buffer holding the message digest.
sigThe buffer holding the ciphertext.
Returns
0 if the verify operation was successful.
An MBEDTLS_ERR_RSA_XXX error code on failure.
int mbedtls_rsa_private ( mbedtls_rsa_context ctx,
int(*)(void *, unsigned char *, size_t)  f_rng,
void *  p_rng,
const unsigned char *  input,
unsigned char *  output 
)

This function performs an RSA private key operation.

Note
The input and output buffers must be large enough. For example, 128 Bytes if RSA-1024 is used.
Blinding is used if and only if a PRNG is provided.
If blinding is used, both the base of exponentation and the exponent are blinded, providing protection against some side-channel attacks.
Warning
It is deprecated and a security risk to not provide a PRNG here and thereby prevent the use of blinding. Future versions of the library may enforce the presence of a PRNG.
Parameters
ctxThe RSA context.
f_rngThe RNG function. Needed for blinding.
p_rngThe RNG context.
inputThe input buffer.
outputThe output buffer.
Returns
0 on success.
An MBEDTLS_ERR_RSA_XXX error code on failure.
int mbedtls_rsa_public ( mbedtls_rsa_context ctx,
const unsigned char *  input,
unsigned char *  output 
)

This function performs an RSA public key operation.

Note
This function does not handle message padding.
Make sure to set input[0] = 0 or ensure that input is smaller than N.
The input and output buffers must be large enough. For example, 128 Bytes if RSA-1024 is used.
Parameters
ctxThe RSA context.
inputThe input buffer.
outputThe output buffer.
Returns
0 on success.
An MBEDTLS_ERR_RSA_XXX error code on failure.
int mbedtls_rsa_rsaes_oaep_decrypt ( mbedtls_rsa_context ctx,
int(*)(void *, unsigned char *, size_t)  f_rng,
void *  p_rng,
int  mode,
const unsigned char *  label,
size_t  label_len,
size_t *  olen,
const unsigned char *  input,
unsigned char *  output,
size_t  output_max_len 
)

This function performs a PKCS#1 v2.1 OAEP decryption operation (RSAES-OAEP-DECRYPT).

Note
The output buffer length output_max_len should be as large as the size ctx->len of ctx->N, for example, 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 returns MBEDTLS_ERR_RSA_OUTPUT_TOO_LARGE.
The input buffer must be as large as the size of ctx->N. For example, 128 Bytes if RSA-1024 is used.
Deprecated:
It is deprecated and discouraged to call this function in MBEDTLS_RSA_PUBLIC mode. Future versions of the library are likely to remove the mode argument and have it implicitly set to MBEDTLS_RSA_PRIVATE.
Note
Alternative implementations of RSA need not support mode being set to MBEDTLS_RSA_PUBLIC and might instead return MBEDTLS_ERR_RSA_UNSUPPORTED_OPERATION.
Parameters
ctxThe RSA context.
f_rngThe RNG function. Only needed for MBEDTLS_RSA_PRIVATE.
p_rngThe RNG context.
modeMBEDTLS_RSA_PUBLIC or MBEDTLS_RSA_PRIVATE.
labelThe buffer holding the custom label to use.
label_lenThe length of the label.
olenThe length of the plaintext.
inputThe buffer holding the encrypted data.
outputThe buffer to hold the plaintext.
output_max_lenThe maximum length of the output buffer.
Returns
0 on success.
An MBEDTLS_ERR_RSA_XXX error code on failure.
int mbedtls_rsa_rsaes_oaep_encrypt ( mbedtls_rsa_context ctx,
int(*)(void *, unsigned char *, size_t)  f_rng,
void *  p_rng,
int  mode,
const unsigned char *  label,
size_t  label_len,
size_t  ilen,
const unsigned char *  input,
unsigned char *  output 
)

This function performs a PKCS#1 v2.1 OAEP encryption operation (RSAES-OAEP-ENCRYPT).

Note
The output buffer must be as large as the size of ctx->N. For example, 128 Bytes if RSA-1024 is used.
Deprecated:
It is deprecated and discouraged to call this function in MBEDTLS_RSA_PRIVATE mode. Future versions of the library are likely to remove the mode argument and have it implicitly set to MBEDTLS_RSA_PUBLIC.
Note
Alternative implementations of RSA need not support mode being set to MBEDTLS_RSA_PRIVATE and might instead return MBEDTLS_ERR_RSA_UNSUPPORTED_OPERATION.
Parameters
ctxThe RSA context.
f_rngThe RNG function. Needed for padding and PKCS#1 v2.1 encoding and MBEDTLS_RSA_PRIVATE.
p_rngThe RNG context.
modeMBEDTLS_RSA_PUBLIC or MBEDTLS_RSA_PRIVATE.
labelThe buffer holding the custom label to use.
label_lenThe length of the label.
ilenThe length of the plaintext.
inputThe buffer holding the data to encrypt.
outputThe buffer used to hold the ciphertext.
Returns
0 on success.
An MBEDTLS_ERR_RSA_XXX error code on failure.
int mbedtls_rsa_rsaes_pkcs1_v15_decrypt ( mbedtls_rsa_context ctx,
int(*)(void *, unsigned char *, size_t)  f_rng,
void *  p_rng,
int  mode,
size_t *  olen,
const unsigned char *  input,
unsigned char *  output,
size_t  output_max_len 
)

This function performs a PKCS#1 v1.5 decryption operation (RSAES-PKCS1-v1_5-DECRYPT).

Note
The output buffer length output_max_len should be as large as the size ctx->len of ctx->N, for example, 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 returns MBEDTLS_ERR_RSA_OUTPUT_TOO_LARGE.
The input buffer must be as large as the size of ctx->N. For example, 128 Bytes if RSA-1024 is used.
Deprecated:
It is deprecated and discouraged to call this function in MBEDTLS_RSA_PUBLIC mode. Future versions of the library are likely to remove the mode argument and have it implicitly set to MBEDTLS_RSA_PRIVATE.
Note
Alternative implementations of RSA need not support mode being set to MBEDTLS_RSA_PUBLIC and might instead return MBEDTLS_ERR_RSA_UNSUPPORTED_OPERATION.
Parameters
ctxThe RSA context.
f_rngThe RNG function. Only needed for MBEDTLS_RSA_PRIVATE.
p_rngThe RNG context.
modeMBEDTLS_RSA_PUBLIC or MBEDTLS_RSA_PRIVATE.
olenThe length of the plaintext.
inputThe buffer holding the encrypted data.
outputThe buffer to hold the plaintext.
output_max_lenThe maximum length of the output buffer.
Returns
0 on success.
An MBEDTLS_ERR_RSA_XXX error code on failure.
int mbedtls_rsa_rsaes_pkcs1_v15_encrypt ( mbedtls_rsa_context ctx,
int(*)(void *, unsigned char *, size_t)  f_rng,
void *  p_rng,
int  mode,
size_t  ilen,
const unsigned char *  input,
unsigned char *  output 
)

This function performs a PKCS#1 v1.5 encryption operation (RSAES-PKCS1-v1_5-ENCRYPT).

Note
The output buffer must be as large as the size of ctx->N. For example, 128 Bytes if RSA-1024 is used.
Deprecated:
It is deprecated and discouraged to call this function in MBEDTLS_RSA_PRIVATE mode. Future versions of the library are likely to remove the mode argument and have it implicitly set to MBEDTLS_RSA_PUBLIC.
Note
Alternative implementations of RSA need not support mode being set to MBEDTLS_RSA_PRIVATE and might instead return MBEDTLS_ERR_RSA_UNSUPPORTED_OPERATION.
Parameters
ctxThe RSA context.
f_rngThe RNG function. Needed for padding and MBEDTLS_RSA_PRIVATE.
p_rngThe RNG context.
modeMBEDTLS_RSA_PUBLIC or MBEDTLS_RSA_PRIVATE.
ilenThe length of the plaintext.
inputThe buffer holding the data to encrypt.
outputThe buffer used to hold the ciphertext.
Returns
0 on success.
An MBEDTLS_ERR_RSA_XXX error code on failure.
int mbedtls_rsa_rsassa_pkcs1_v15_sign ( mbedtls_rsa_context ctx,
int(*)(void *, unsigned char *, size_t)  f_rng,
void *  p_rng,
int  mode,
mbedtls_md_type_t  md_alg,
unsigned int  hashlen,
const unsigned char *  hash,
unsigned char *  sig 
)

This function performs a PKCS#1 v1.5 signature operation (RSASSA-PKCS1-v1_5-SIGN).

Note
The sig buffer must be as large as the size of ctx->N. For example, 128 Bytes if RSA-1024 is used.
Deprecated:
It is deprecated and discouraged to call this function in MBEDTLS_RSA_PUBLIC mode. Future versions of the library are likely to remove the mode argument and have it implicitly set to MBEDTLS_RSA_PRIVATE.
Note
Alternative implementations of RSA need not support mode being set to MBEDTLS_RSA_PUBLIC and might instead return MBEDTLS_ERR_RSA_UNSUPPORTED_OPERATION.
Parameters
ctxThe RSA context.
f_rngThe RNG function. Only needed for MBEDTLS_RSA_PRIVATE.
p_rngThe RNG context.
modeMBEDTLS_RSA_PUBLIC or MBEDTLS_RSA_PRIVATE.
md_algThe message-digest algorithm used to hash the original data. Use MBEDTLS_MD_NONE for signing raw data.
hashlenThe length of the message digest. Only used if md_alg is MBEDTLS_MD_NONE.
hashThe buffer holding the message digest.
sigThe buffer to hold the ciphertext.
Returns
0 if the signing operation was successful.
An MBEDTLS_ERR_RSA_XXX error code on failure.
int mbedtls_rsa_rsassa_pkcs1_v15_verify ( mbedtls_rsa_context ctx,
int(*)(void *, unsigned char *, size_t)  f_rng,
void *  p_rng,
int  mode,
mbedtls_md_type_t  md_alg,
unsigned int  hashlen,
const unsigned char *  hash,
const unsigned char *  sig 
)

This function performs a PKCS#1 v1.5 verification operation (RSASSA-PKCS1-v1_5-VERIFY).

Note
The sig buffer must be as large as the size of ctx->N. For example, 128 Bytes if RSA-1024 is used.
Deprecated:
It is deprecated and discouraged to call this function in MBEDTLS_RSA_PRIVATE mode. Future versions of the library are likely to remove the mode argument and have it set to MBEDTLS_RSA_PUBLIC.
Note
Alternative implementations of RSA need not support mode being set to MBEDTLS_RSA_PRIVATE and might instead return MBEDTLS_ERR_RSA_UNSUPPORTED_OPERATION.
Parameters
ctxThe RSA public key context.
f_rngThe RNG function. Only needed for MBEDTLS_RSA_PRIVATE.
p_rngThe RNG context.
modeMBEDTLS_RSA_PUBLIC or MBEDTLS_RSA_PRIVATE.
md_algThe message-digest algorithm used to hash the original data. Use MBEDTLS_MD_NONE for signing raw data.
hashlenThe length of the message digest. Only used if md_alg is MBEDTLS_MD_NONE.
hashThe buffer holding the message digest.
sigThe buffer holding the ciphertext.
Returns
0 if the verify operation was successful.
An MBEDTLS_ERR_RSA_XXX error code on failure.
int mbedtls_rsa_rsassa_pss_sign ( mbedtls_rsa_context ctx,
int(*)(void *, unsigned char *, size_t)  f_rng,
void *  p_rng,
int  mode,
mbedtls_md_type_t  md_alg,
unsigned int  hashlen,
const unsigned char *  hash,
unsigned char *  sig 
)

This function performs a PKCS#1 v2.1 PSS signature operation (RSASSA-PSS-SIGN).

Note
The sig buffer must be as large as the size of ctx->N. For example, 128 Bytes if RSA-1024 is used.
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 that is encoded. According to RFC-3447: Public-Key Cryptography Standards (PKCS) #1 v2.1: RSA Cryptography Specifications it is advised to keep both hashes the same.
Deprecated:
It is deprecated and discouraged to call this function in MBEDTLS_RSA_PUBLIC mode. Future versions of the library are likely to remove the mode argument and have it implicitly set to MBEDTLS_RSA_PRIVATE.
Note
Alternative implementations of RSA need not support mode being set to MBEDTLS_RSA_PUBLIC and might instead return MBEDTLS_ERR_RSA_UNSUPPORTED_OPERATION.
Parameters
ctxThe RSA context.
f_rngThe RNG function. Needed for PKCS#1 v2.1 encoding and for MBEDTLS_RSA_PRIVATE.
p_rngThe RNG context.
modeMBEDTLS_RSA_PUBLIC or MBEDTLS_RSA_PRIVATE.
md_algThe message-digest algorithm used to hash the original data. Use MBEDTLS_MD_NONE for signing raw data.
hashlenThe length of the message digest. Only used if md_alg is MBEDTLS_MD_NONE.
hashThe buffer holding the message digest.
sigThe buffer to hold the ciphertext.
Returns
0 if the signing operation was successful.
An MBEDTLS_ERR_RSA_XXX error code on failure.
int mbedtls_rsa_rsassa_pss_verify ( mbedtls_rsa_context ctx,
int(*)(void *, unsigned char *, size_t)  f_rng,
void *  p_rng,
int  mode,
mbedtls_md_type_t  md_alg,
unsigned int  hashlen,
const unsigned char *  hash,
const unsigned char *  sig 
)

This function performs a PKCS#1 v2.1 PSS verification operation (RSASSA-PSS-VERIFY).

The hash function for the MGF mask generating function is that specified in the RSA context.

Note
The sig buffer must be as large as the size of ctx->N. For example, 128 Bytes if RSA-1024 is used.
The hash_id in the RSA context is the one used for the verification. md_alg in the function call is the type of hash that is verified. According to RFC-3447: Public-Key Cryptography Standards (PKCS) #1 v2.1: RSA Cryptography Specifications 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.
Deprecated:
It is deprecated and discouraged to call this function in MBEDTLS_RSA_PRIVATE mode. Future versions of the library are likely to remove the mode argument and have it implicitly set to MBEDTLS_RSA_PUBLIC.
Note
Alternative implementations of RSA need not support mode being set to MBEDTLS_RSA_PRIVATE and might instead return MBEDTLS_ERR_RSA_UNSUPPORTED_OPERATION.
Parameters
ctxThe RSA public key context.
f_rngThe RNG function. Only needed for MBEDTLS_RSA_PRIVATE.
p_rngThe RNG context.
modeMBEDTLS_RSA_PUBLIC or MBEDTLS_RSA_PRIVATE.
md_algThe message-digest algorithm used to hash the original data. Use MBEDTLS_MD_NONE for signing raw data.
hashlenThe length of the message digest. Only used if md_alg is MBEDTLS_MD_NONE.
hashThe buffer holding the message digest.
sigThe buffer holding the ciphertext.
Returns
0 if the verify operation was successful.
An MBEDTLS_ERR_RSA_XXX error code on failure.
int mbedtls_rsa_rsassa_pss_verify_ext ( mbedtls_rsa_context ctx,
int(*)(void *, unsigned char *, size_t)  f_rng,
void *  p_rng,
int  mode,
mbedtls_md_type_t  md_alg,
unsigned int  hashlen,
const unsigned char *  hash,
mbedtls_md_type_t  mgf1_hash_id,
int  expected_salt_len,
const unsigned char *  sig 
)

This function performs a PKCS#1 v2.1 PSS verification operation (RSASSA-PSS-VERIFY).

The hash function for the MGF mask generating function is that specified in mgf1_hash_id.

Note
The sig buffer must be as large as the size of ctx->N. For example, 128 Bytes if RSA-1024 is used.
The hash_id in the RSA context is ignored.
Parameters
ctxThe RSA public key context.
f_rngThe RNG function. Only needed for MBEDTLS_RSA_PRIVATE.
p_rngThe RNG context.
modeMBEDTLS_RSA_PUBLIC or MBEDTLS_RSA_PRIVATE.
md_algThe message-digest algorithm used to hash the original data. Use MBEDTLS_MD_NONE for signing raw data.
hashlenThe length of the message digest. Only used if md_alg is MBEDTLS_MD_NONE.
hashThe buffer holding the message digest.
mgf1_hash_idThe message digest used for mask generation.
expected_salt_lenThe length of the salt used in padding. Use MBEDTLS_RSA_SALT_LEN_ANY to accept any salt length.
sigThe buffer holding the ciphertext.
Returns
0 if the verify operation was successful.
An MBEDTLS_ERR_RSA_XXX error code on failure.
int mbedtls_rsa_self_test ( int  verbose)

The RSA checkup routine.

Returns
0 on success.
1 on failure.
void mbedtls_rsa_set_padding ( mbedtls_rsa_context ctx,
int  padding,
int  hash_id 
)

This function sets padding for an already initialized RSA context.

See mbedtls_rsa_init() for details.

Parameters
ctxThe RSA context to be set.
paddingSelects padding mode: MBEDTLS_RSA_PKCS_V15 or MBEDTLS_RSA_PKCS_V21.
hash_idThe MBEDTLS_RSA_PKCS_V21 hash identifier.