| /** |
| * \file rsa.h |
| * |
| * \brief The RSA public-key cryptosystem |
| * |
| * Copyright (C) 2006-2010, Brainspark B.V. |
| * |
| * This file is part of PolarSSL (http://www.polarssl.org) |
| * Lead Maintainer: Paul Bakker <polarssl_maintainer at polarssl.org> |
| * |
| * All rights reserved. |
| * |
| * This program is free software; you can redistribute it and/or modify |
| * it under the terms of the GNU General Public License as published by |
| * the Free Software Foundation; either version 2 of the License, or |
| * (at your option) any later version. |
| * |
| * This program is distributed in the hope that it will be useful, |
| * but WITHOUT ANY WARRANTY; without even the implied warranty of |
| * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
| * GNU General Public License for more details. |
| * |
| * You should have received a copy of the GNU General Public License along |
| * with this program; if not, write to the Free Software Foundation, Inc., |
| * 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA. |
| */ |
| #ifndef POLARSSL_RSA_H |
| #define POLARSSL_RSA_H |
| |
| #include "bignum.h" |
| |
| /* |
| * RSA Error codes |
| */ |
| #define POLARSSL_ERR_RSA_BAD_INPUT_DATA -0x4080 /**< Bad input parameters to function. */ |
| #define POLARSSL_ERR_RSA_INVALID_PADDING -0x4100 /**< Input data contains invalid padding and is rejected. */ |
| #define POLARSSL_ERR_RSA_KEY_GEN_FAILED -0x4180 /**< Something failed during generation of a key. */ |
| #define POLARSSL_ERR_RSA_KEY_CHECK_FAILED -0x4200 /**< Key failed to pass the libraries validity check. */ |
| #define POLARSSL_ERR_RSA_PUBLIC_FAILED -0x4280 /**< The public key operation failed. */ |
| #define POLARSSL_ERR_RSA_PRIVATE_FAILED -0x4300 /**< The private key operation failed. */ |
| #define POLARSSL_ERR_RSA_VERIFY_FAILED -0x4380 /**< The PKCS#1 verification failed. */ |
| #define POLARSSL_ERR_RSA_OUTPUT_TOO_LARGE -0x4400 /**< The output buffer for decryption is not large enough. */ |
| #define POLARSSL_ERR_RSA_RNG_FAILED -0x4480 /**< The random generator failed to generate non-zeros. */ |
| |
| /* |
| * PKCS#1 constants |
| */ |
| #define SIG_RSA_RAW 0 |
| #define SIG_RSA_MD2 2 |
| #define SIG_RSA_MD4 3 |
| #define SIG_RSA_MD5 4 |
| #define SIG_RSA_SHA1 5 |
| #define SIG_RSA_SHA224 14 |
| #define SIG_RSA_SHA256 11 |
| #define SIG_RSA_SHA384 12 |
| #define SIG_RSA_SHA512 13 |
| |
| #define RSA_PUBLIC 0 |
| #define RSA_PRIVATE 1 |
| |
| #define RSA_PKCS_V15 0 |
| #define RSA_PKCS_V21 1 |
| |
| #define RSA_SIGN 1 |
| #define RSA_CRYPT 2 |
| |
| #define ASN1_STR_CONSTRUCTED_SEQUENCE "\x30" |
| #define ASN1_STR_NULL "\x05" |
| #define ASN1_STR_OID "\x06" |
| #define ASN1_STR_OCTET_STRING "\x04" |
| |
| #define OID_DIGEST_ALG_MDX "\x2A\x86\x48\x86\xF7\x0D\x02\x00" |
| #define OID_HASH_ALG_SHA1 "\x2b\x0e\x03\x02\x1a" |
| #define OID_HASH_ALG_SHA2X "\x60\x86\x48\x01\x65\x03\x04\x02\x00" |
| |
| #define OID_ISO_MEMBER_BODIES "\x2a" |
| #define OID_ISO_IDENTIFIED_ORG "\x2b" |
| |
| /* |
| * ISO Member bodies OID parts |
| */ |
| #define OID_COUNTRY_US "\x86\x48" |
| #define OID_RSA_DATA_SECURITY "\x86\xf7\x0d" |
| |
| /* |
| * ISO Identified organization OID parts |
| */ |
| #define OID_OIW_SECSIG_SHA1 "\x0e\x03\x02\x1a" |
| |
| /* |
| * DigestInfo ::= SEQUENCE { |
| * digestAlgorithm DigestAlgorithmIdentifier, |
| * digest Digest } |
| * |
| * DigestAlgorithmIdentifier ::= AlgorithmIdentifier |
| * |
| * Digest ::= OCTET STRING |
| */ |
| #define ASN1_HASH_MDX \ |
| ( \ |
| ASN1_STR_CONSTRUCTED_SEQUENCE "\x20" \ |
| ASN1_STR_CONSTRUCTED_SEQUENCE "\x0C" \ |
| ASN1_STR_OID "\x08" \ |
| OID_DIGEST_ALG_MDX \ |
| ASN1_STR_NULL "\x00" \ |
| ASN1_STR_OCTET_STRING "\x10" \ |
| ) |
| |
| #define ASN1_HASH_SHA1 \ |
| ASN1_STR_CONSTRUCTED_SEQUENCE "\x21" \ |
| ASN1_STR_CONSTRUCTED_SEQUENCE "\x09" \ |
| ASN1_STR_OID "\x05" \ |
| OID_HASH_ALG_SHA1 \ |
| ASN1_STR_NULL "\x00" \ |
| ASN1_STR_OCTET_STRING "\x14" |
| |
| #define ASN1_HASH_SHA1_ALT \ |
| ASN1_STR_CONSTRUCTED_SEQUENCE "\x1F" \ |
| ASN1_STR_CONSTRUCTED_SEQUENCE "\x07" \ |
| ASN1_STR_OID "\x05" \ |
| OID_HASH_ALG_SHA1 \ |
| ASN1_STR_OCTET_STRING "\x14" |
| |
| #define ASN1_HASH_SHA2X \ |
| ASN1_STR_CONSTRUCTED_SEQUENCE "\x11" \ |
| ASN1_STR_CONSTRUCTED_SEQUENCE "\x0d" \ |
| ASN1_STR_OID "\x09" \ |
| OID_HASH_ALG_SHA2X \ |
| ASN1_STR_NULL "\x00" \ |
| ASN1_STR_OCTET_STRING "\x00" |
| |
| /** |
| * \brief RSA context structure |
| */ |
| typedef struct |
| { |
| int ver; /*!< always 0 */ |
| size_t len; /*!< size(N) in chars */ |
| |
| mpi N; /*!< public modulus */ |
| mpi E; /*!< public exponent */ |
| |
| mpi D; /*!< private exponent */ |
| mpi P; /*!< 1st prime factor */ |
| mpi Q; /*!< 2nd prime factor */ |
| mpi DP; /*!< D % (P - 1) */ |
| mpi DQ; /*!< D % (Q - 1) */ |
| mpi QP; /*!< 1 / (Q % P) */ |
| |
| mpi RN; /*!< cached R^2 mod N */ |
| mpi RP; /*!< cached R^2 mod P */ |
| mpi RQ; /*!< cached R^2 mod Q */ |
| |
| int padding; /*!< RSA_PKCS_V15 for 1.5 padding and |
| RSA_PKCS_v21 for OAEP/PSS */ |
| int hash_id; /*!< Hash identifier of md_type_t as |
| specified in the md.h header file |
| for the EME-OAEP and EMSA-PSS |
| encoding */ |
| } |
| rsa_context; |
| |
| #ifdef __cplusplus |
| extern "C" { |
| #endif |
| |
| /** |
| * \brief Initialize an RSA context |
| * |
| * Note: Set padding to RSA_PKCS_V21 for the RSAES-OAEP |
| * encryption scheme and the RSASSA-PSS signature scheme. |
| * |
| * \param ctx RSA context to be initialized |
| * \param padding RSA_PKCS_V15 or RSA_PKCS_V21 |
| * \param hash_id RSA_PKCS_V21 hash identifier |
| * |
| * \note The hash_id parameter is actually ignored |
| * when using RSA_PKCS_V15 padding. |
| */ |
| void rsa_init( rsa_context *ctx, |
| int padding, |
| int hash_id); |
| |
| /** |
| * \brief Generate an RSA keypair |
| * |
| * \param ctx RSA context that will hold the key |
| * \param f_rng RNG function |
| * \param p_rng RNG parameter |
| * \param nbits size of the public key in bits |
| * \param exponent public exponent (e.g., 65537) |
| * |
| * \note rsa_init() must be called beforehand to setup |
| * the RSA context. |
| * |
| * \return 0 if successful, or an POLARSSL_ERR_RSA_XXX error code |
| */ |
| int rsa_gen_key( rsa_context *ctx, |
| int (*f_rng)(void *, unsigned char *, size_t), |
| void *p_rng, |
| unsigned int nbits, int exponent ); |
| |
| /** |
| * \brief Check a public RSA key |
| * |
| * \param ctx RSA context to be checked |
| * |
| * \return 0 if successful, or an POLARSSL_ERR_RSA_XXX error code |
| */ |
| int rsa_check_pubkey( const rsa_context *ctx ); |
| |
| /** |
| * \brief Check a private RSA key |
| * |
| * \param ctx RSA context to be checked |
| * |
| * \return 0 if successful, or an POLARSSL_ERR_RSA_XXX error code |
| */ |
| int rsa_check_privkey( const rsa_context *ctx ); |
| |
| /** |
| * \brief Do an RSA public key operation |
| * |
| * \param ctx RSA context |
| * \param input input buffer |
| * \param output output buffer |
| * |
| * \return 0 if successful, or an POLARSSL_ERR_RSA_XXX error code |
| * |
| * \note This function does NOT take care of message |
| * padding. Also, be sure to set input[0] = 0 or assure that |
| * input is smaller than N. |
| * |
| * \note The input and output buffers must be large |
| * enough (eg. 128 bytes if RSA-1024 is used). |
| */ |
| int rsa_public( rsa_context *ctx, |
| const unsigned char *input, |
| unsigned char *output ); |
| |
| /** |
| * \brief Do an RSA private key operation |
| * |
| * \param ctx RSA context |
| * \param input input buffer |
| * \param output output buffer |
| * |
| * \return 0 if successful, or an POLARSSL_ERR_RSA_XXX error code |
| * |
| * \note The input and output buffers must be large |
| * enough (eg. 128 bytes if RSA-1024 is used). |
| */ |
| int rsa_private( rsa_context *ctx, |
| const unsigned char *input, |
| unsigned char *output ); |
| |
| /** |
| * \brief Generic wrapper to perform a PKCS#1 encryption using the |
| * mode from the context. Add the message padding, then do an |
| * RSA operation. |
| * |
| * \param ctx RSA context |
| * \param f_rng RNG function (Needed for padding and PKCS#1 v2.1 encoding) |
| * \param p_rng RNG parameter |
| * \param mode RSA_PUBLIC or 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 |
| * |
| * \return 0 if successful, or an POLARSSL_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). |
| */ |
| int rsa_pkcs1_encrypt( 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 ); |
| |
| /** |
| * \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) |
| * \param p_rng RNG parameter |
| * \param mode RSA_PUBLIC or 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 |
| * |
| * \return 0 if successful, or an POLARSSL_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). |
| */ |
| int rsa_rsaes_pkcs1_v15_encrypt( 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 ); |
| |
| /** |
| * \brief Perform a PKCS#1 v2.1 OAEP encryption (RSAES-OAEP-ENCRYPT) |
| * |
| * \param ctx RSA context |
| * \param f_rng RNG function (Needed for padding and PKCS#1 v2.1 encoding) |
| * \param p_rng RNG parameter |
| * \param mode RSA_PUBLIC or RSA_PRIVATE |
| * \param label buffer holding the custom label to use |
| * \param label_len contains the label length |
| * \param ilen contains the plaintext length |
| * \param input buffer holding the data to be encrypted |
| * \param output buffer that will hold the ciphertext |
| * |
| * \return 0 if successful, or an POLARSSL_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). |
| */ |
| int rsa_rsaes_oaep_encrypt( 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 ); |
| |
| /** |
| * \brief Generic wrapper to perform a PKCS#1 decryption using the |
| * mode from the context. Do an RSA operation, then remove |
| * the message padding |
| * |
| * \param ctx RSA context |
| * \param mode RSA_PUBLIC or RSA_PRIVATE |
| * \param olen will contain the plaintext length |
| * \param input buffer holding the encrypted data |
| * \param output buffer that will hold the plaintext |
| * \param output_max_len maximum length of the output buffer |
| * |
| * \return 0 if successful, or an POLARSSL_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) otherwise |
| * an error is thrown. |
| */ |
| int rsa_pkcs1_decrypt( rsa_context *ctx, |
| int mode, size_t *olen, |
| const unsigned char *input, |
| unsigned char *output, |
| size_t output_max_len ); |
| |
| /** |
| * \brief Perform a PKCS#1 v1.5 decryption (RSAES-PKCS1-v1_5-DECRYPT) |
| * |
| * \param ctx RSA context |
| * \param mode RSA_PUBLIC or RSA_PRIVATE |
| * \param olen will contain the plaintext length |
| * \param input buffer holding the encrypted data |
| * \param output buffer that will hold the plaintext |
| * \param output_max_len maximum length of the output buffer |
| * |
| * \return 0 if successful, or an POLARSSL_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) otherwise |
| * an error is thrown. |
| */ |
| int rsa_rsaes_pkcs1_v15_decrypt( rsa_context *ctx, |
| int mode, size_t *olen, |
| const unsigned char *input, |
| unsigned char *output, |
| size_t output_max_len ); |
| |
| /** |
| * \brief Perform a PKCS#1 v2.1 OAEP decryption (RSAES-OAEP-DECRYPT) |
| * |
| * \param ctx RSA context |
| * \param mode RSA_PUBLIC or 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 |
| * \param input buffer holding the encrypted data |
| * \param output buffer that will hold the plaintext |
| * \param output_max_len maximum length of the output buffer |
| * |
| * \return 0 if successful, or an POLARSSL_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) otherwise |
| * an error is thrown. |
| */ |
| int rsa_rsaes_oaep_decrypt( rsa_context *ctx, |
| 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 ); |
| |
| /** |
| * \brief Generic wrapper to perform a PKCS#1 signature using the |
| * mode from the context. Do a private RSA operation to sign |
| * a message digest |
| * |
| * \param ctx RSA context |
| * \param f_rng RNG function (Needed for PKCS#1 v2.1 encoding) |
| * \param p_rng RNG parameter |
| * \param mode RSA_PUBLIC or RSA_PRIVATE |
| * \param hash_id SIG_RSA_RAW, SIG_RSA_MD{2,4,5} or SIG_RSA_SHA{1,224,256,384,512} |
| * \param hashlen message digest length (for SIG_RSA_RAW only) |
| * \param hash buffer holding the message digest |
| * \param sig buffer that will hold the ciphertext |
| * |
| * \return 0 if the signing operation was successful, |
| * or an POLARSSL_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 In case of PKCS#1 v2.1 encoding keep in mind that |
| * the hash_id in the RSA context is the one used for the |
| * encoding. hash_id 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. |
| */ |
| int rsa_pkcs1_sign( rsa_context *ctx, |
| int (*f_rng)(void *, unsigned char *, size_t), |
| void *p_rng, |
| int mode, |
| int hash_id, |
| unsigned int hashlen, |
| const unsigned char *hash, |
| unsigned char *sig ); |
| |
| /** |
| * \brief Perform a PKCS#1 v1.5 signature (RSASSA-PKCS1-v1_5-SIGN) |
| * |
| * \param ctx RSA context |
| * \param mode RSA_PUBLIC or RSA_PRIVATE |
| * \param hash_id SIG_RSA_RAW, SIG_RSA_MD{2,4,5} or SIG_RSA_SHA{1,224,256,384,512} |
| * \param hashlen message digest length (for SIG_RSA_RAW only) |
| * \param hash buffer holding the message digest |
| * \param sig buffer that will hold the ciphertext |
| * |
| * \return 0 if the signing operation was successful, |
| * or an POLARSSL_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). |
| */ |
| int rsa_rsassa_pkcs1_v15_sign( rsa_context *ctx, |
| int mode, |
| int hash_id, |
| unsigned int hashlen, |
| const unsigned char *hash, |
| unsigned char *sig ); |
| |
| /** |
| * \brief Perform a PKCS#1 v2.1 PSS signature (RSASSA-PSS-SIGN) |
| * |
| * \param ctx RSA context |
| * \param f_rng RNG function (Needed for PKCS#1 v2.1 encoding) |
| * \param p_rng RNG parameter |
| * \param mode RSA_PUBLIC or RSA_PRIVATE |
| * \param hash_id SIG_RSA_RAW, SIG_RSA_MD{2,4,5} or SIG_RSA_SHA{1,224,256,384,512} |
| * \param hashlen message digest length (for SIG_RSA_RAW only) |
| * \param hash buffer holding the message digest |
| * \param sig buffer that will hold the ciphertext |
| * |
| * \return 0 if the signing operation was successful, |
| * or an POLARSSL_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 In case of PKCS#1 v2.1 encoding keep in mind that |
| * the hash_id in the RSA context is the one used for the |
| * encoding. hash_id 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. |
| */ |
| int rsa_rsassa_pss_sign( rsa_context *ctx, |
| int (*f_rng)(void *, unsigned char *, size_t), |
| void *p_rng, |
| int mode, |
| int hash_id, |
| unsigned int hashlen, |
| const unsigned char *hash, |
| unsigned char *sig ); |
| |
| /** |
| * \brief Generic wrapper to perform a PKCS#1 verification using the |
| * mode from the context. Do a public RSA operation and check |
| * the message digest |
| * |
| * \param ctx points to an RSA public key |
| * \param mode RSA_PUBLIC or RSA_PRIVATE |
| * \param hash_id SIG_RSA_RAW, SIG_RSA_MD{2,4,5} or SIG_RSA_SHA{1,224,256,384,512} |
| * \param hashlen message digest length (for SIG_RSA_RAW only) |
| * \param hash buffer holding the message digest |
| * \param sig buffer holding the ciphertext |
| * |
| * \return 0 if the verify operation was successful, |
| * or an POLARSSL_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 In case of PKCS#1 v2.1 encoding keep in mind that |
| * the hash_id in the RSA context is the one used for the |
| * verification. hash_id 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. |
| */ |
| int rsa_pkcs1_verify( rsa_context *ctx, |
| int mode, |
| int hash_id, |
| unsigned int hashlen, |
| const unsigned char *hash, |
| unsigned char *sig ); |
| |
| /** |
| * \brief Perform a PKCS#1 v1.5 verification (RSASSA-PKCS1-v1_5-VERIFY) |
| * |
| * \param ctx points to an RSA public key |
| * \param mode RSA_PUBLIC or RSA_PRIVATE |
| * \param hash_id SIG_RSA_RAW, SIG_RSA_MD{2,4,5} or SIG_RSA_SHA{1,224,256,384,512} |
| * \param hashlen message digest length (for SIG_RSA_RAW only) |
| * \param hash buffer holding the message digest |
| * \param sig buffer holding the ciphertext |
| * |
| * \return 0 if the verify operation was successful, |
| * or an POLARSSL_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). |
| */ |
| int rsa_rsassa_pkcs1_v15_verify( rsa_context *ctx, |
| int mode, |
| int hash_id, |
| unsigned int hashlen, |
| const unsigned char *hash, |
| unsigned char *sig ); |
| |
| /** |
| * \brief Perform a PKCS#1 v2.1 PSS verification (RSASSA-PSS-VERIFY) |
| * \brief Do a public RSA and check the message digest |
| * |
| * \param ctx points to an RSA public key |
| * \param mode RSA_PUBLIC or RSA_PRIVATE |
| * \param hash_id SIG_RSA_RAW, SIG_RSA_MD{2,4,5} or SIG_RSA_SHA{1,224,256,384,512} |
| * \param hashlen message digest length (for SIG_RSA_RAW only) |
| * \param hash buffer holding the message digest |
| * \param sig buffer holding the ciphertext |
| * |
| * \return 0 if the verify operation was successful, |
| * or an POLARSSL_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 In case of PKCS#1 v2.1 encoding keep in mind that |
| * the hash_id in the RSA context is the one used for the |
| * verification. hash_id 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. |
| */ |
| int rsa_rsassa_pss_verify( rsa_context *ctx, |
| int mode, |
| int hash_id, |
| unsigned int hashlen, |
| const unsigned char *hash, |
| unsigned char *sig ); |
| |
| /** |
| * \brief Free the components of an RSA key |
| * |
| * \param ctx RSA Context to free |
| */ |
| void rsa_free( rsa_context *ctx ); |
| |
| /** |
| * \brief Checkup routine |
| * |
| * \return 0 if successful, or 1 if the test failed |
| */ |
| int rsa_self_test( int verbose ); |
| |
| #ifdef __cplusplus |
| } |
| #endif |
| |
| #endif /* rsa.h */ |