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EVP_PKEY-RSA(7SSL)                  OpenSSL                 EVP_PKEY-RSA(7SSL)

NAME
       EVP_PKEY-RSA, EVP_KEYMGMT-RSA, RSA - EVP_PKEY RSA keytype and algorithm
       support

DESCRIPTION
       The RSA keytype is implemented in OpenSSL's default and FIPS providers.
       That implementation supports the basic RSA keys, containing the modulus
       n, the public exponent e, the private exponent d, and a collection of
       prime factors, exponents and coefficient for CRT calculations, of which
       the first few are known as p and q, dP and dQ, and qInv.

   Common RSA parameters
       In addition to the common parameters that all keytypes should support
       (see "Common parameters" in provider-keymgmt(7)), the RSA keytype
       implementation supports the following.

       "n" (OSSL_PKEY_PARAM_RSA_N) <unsigned integer>
           The RSA "n" value.

       "e" (OSSL_PKEY_PARAM_RSA_E) <unsigned integer>
           The RSA "e" value.

       "d" (OSSL_PKEY_PARAM_RSA_D) <unsigned integer>
           The RSA "d" value.

       "rsa-factor1" (OSSL_PKEY_PARAM_RSA_FACTOR1) <unsigned integer>
       "rsa-factor2" (OSSL_PKEY_PARAM_RSA_FACTOR2) <unsigned integer>
       "rsa-factor3" (OSSL_PKEY_PARAM_RSA_FACTOR3) <unsigned integer>
       "rsa-factor4" (OSSL_PKEY_PARAM_RSA_FACTOR4) <unsigned integer>
       "rsa-factor5" (OSSL_PKEY_PARAM_RSA_FACTOR5) <unsigned integer>
       "rsa-factor6" (OSSL_PKEY_PARAM_RSA_FACTOR6) <unsigned integer>
       "rsa-factor7" (OSSL_PKEY_PARAM_RSA_FACTOR7) <unsigned integer>
       "rsa-factor8" (OSSL_PKEY_PARAM_RSA_FACTOR8) <unsigned integer>
       "rsa-factor9" (OSSL_PKEY_PARAM_RSA_FACTOR9) <unsigned integer>
       "rsa-factor10" (OSSL_PKEY_PARAM_RSA_FACTOR10) <unsigned integer>
           RSA prime factors. The factors are known as "p", "q" and "r_i" in
           RFC8017.  Up to eight additional "r_i" prime factors are supported.

       "rsa-exponent1" (OSSL_PKEY_PARAM_RSA_EXPONENT1) <unsigned integer>
       "rsa-exponent2" (OSSL_PKEY_PARAM_RSA_EXPONENT2) <unsigned integer>
       "rsa-exponent3" (OSSL_PKEY_PARAM_RSA_EXPONENT3) <unsigned integer>
       "rsa-exponent4" (OSSL_PKEY_PARAM_RSA_EXPONENT4) <unsigned integer>
       "rsa-exponent5" (OSSL_PKEY_PARAM_RSA_EXPONENT5) <unsigned integer>
       "rsa-exponent6" (OSSL_PKEY_PARAM_RSA_EXPONENT6) <unsigned integer>
       "rsa-exponent7" (OSSL_PKEY_PARAM_RSA_EXPONENT7) <unsigned integer>
       "rsa-exponent8" (OSSL_PKEY_PARAM_RSA_EXPONENT8) <unsigned integer>
       "rsa-exponent9" (OSSL_PKEY_PARAM_RSA_EXPONENT9) <unsigned integer>
       "rsa-exponent10" (OSSL_PKEY_PARAM_RSA_EXPONENT10) <unsigned integer>
           RSA CRT (Chinese Remainder Theorem) exponents. The exponents are
           known as "dP", "dQ" and "d_i in RFC8017".  Up to eight additional
           "d_i" exponents are supported.

       "rsa-coefficient1" (OSSL_PKEY_PARAM_RSA_COEFFICIENT1) <unsigned
       integer>
       "rsa-coefficient2" (OSSL_PKEY_PARAM_RSA_COEFFICIENT2) <unsigned
       integer>
       "rsa-coefficient3" (OSSL_PKEY_PARAM_RSA_COEFFICIENT3) <unsigned
       integer>
       "rsa-coefficient4" (OSSL_PKEY_PARAM_RSA_COEFFICIENT4) <unsigned
       integer>
       "rsa-coefficient5" (OSSL_PKEY_PARAM_RSA_COEFFICIENT5) <unsigned
       integer>
       "rsa-coefficient6" (OSSL_PKEY_PARAM_RSA_COEFFICIENT6) <unsigned
       integer>
       "rsa-coefficient7" (OSSL_PKEY_PARAM_RSA_COEFFICIENT7) <unsigned
       integer>
       "rsa-coefficient8" (OSSL_PKEY_PARAM_RSA_COEFFICIENT8) <unsigned
       integer>
       "rsa-coefficient9" (OSSL_PKEY_PARAM_RSA_COEFFICIENT9) <unsigned
       integer>
           RSA CRT (Chinese Remainder Theorem) coefficients. The coefficients
           are known as "qInv" and "t_i".  Up to eight additional "t_i"
           exponents are supported.

   RSA key generation parameters
       When generating RSA keys, the following key generation parameters may
       be used.

       "bits" (OSSL_PKEY_PARAM_RSA_BITS) <unsigned integer>
           The value should be the cryptographic length for the RSA
           cryptosystem, in bits.

       "primes" (OSSL_PKEY_PARAM_RSA_PRIMES) <unsigned integer>
           The value should be the number of primes for the generated RSA key.
           The default is 2.  It isn't permitted to specify a larger number of
           primes than 10.  Additionally, the number of primes is limited by
           the length of the key being generated so the maximum number could
           be less.  Some providers may only support a value of 2.

       "e" (OSSL_PKEY_PARAM_RSA_E) <unsigned integer>
           The RSA "e" value. The value may be any odd number greater than or
           equal to 65537. The default value is 65537.  For legacy reasons a
           value of 3 is currently accepted but is deprecated.

   RSA key generation parameters for FIPS module testing
       When generating RSA keys, the following additional key generation
       parameters may be used for algorithm testing purposes only. Do not use
       these to generate RSA keys for a production environment.

       "xp" (OSSL_PKEY_PARAM_RSA_TEST_XP) <unsigned integer>
       "xq" (OSSL_PKEY_PARAM_RSA_TEST_XQ) <unsigned integer>
           These 2 fields are normally randomly generated and are used to
           generate "p" and "q".

       "xp1" (OSSL_PKEY_PARAM_RSA_TEST_XP1) <unsigned integer>
       "xp2" (OSSL_PKEY_PARAM_RSA_TEST_XP2) <unsigned integer>
       "xq1" (OSSL_PKEY_PARAM_RSA_TEST_XQ1) <unsigned integer>
       "xq2" (OSSL_PKEY_PARAM_RSA_TEST_XQ2) <unsigned integer>
           These 4 fields are normally randomly generated. The prime factors
           "p1", "p2", "q1" and "q2" are determined from these values.

   RSA key parameters for FIPS module testing
       The following intermediate values can be retrieved only if the values
       specified in "RSA key generation parameters for FIPS module testing"
       are set.  These should not be accessed in a production environment.

       "p1" (OSSL_PKEY_PARAM_RSA_TEST_P1) <unsigned integer>
       "p2" (OSSL_PKEY_PARAM_RSA_TEST_P2) <unsigned integer>
       "q1" (OSSL_PKEY_PARAM_RSA_TEST_Q1) <unsigned integer>
       "q2" (OSSL_PKEY_PARAM_RSA_TEST_Q2) <unsigned integer>
           The auxiliary probable primes.

CONFORMING TO
       FIPS186-4
           Section B.3.6  Generation of Probable Primes with Conditions Based
           on Auxiliary Probable Primes

       RFC 8017, excluding RSA-PSS and RSA-OAEP

EXAMPLES
       An EVP_PKEY context can be obtained by calling:

           EVP_PKEY_CTX *pctx =
               EVP_PKEY_CTX_new_from_name(NULL, "RSA", NULL);

       An RSA key can be generated simply like this:

           pkey = EVP_RSA_gen(4096);

       or like this:

           EVP_PKEY *pkey = NULL;
           EVP_PKEY_CTX *pctx =
               EVP_PKEY_CTX_new_from_name(NULL, "RSA", NULL);

           EVP_PKEY_keygen_init(pctx);
           EVP_PKEY_generate(pctx, &pkey);
           EVP_PKEY_CTX_free(pctx);

       An RSA key can be generated with key generation parameters:

           unsigned int primes = 3;
           unsigned int bits = 4096;
           OSSL_PARAM params[3];
           EVP_PKEY *pkey = NULL;
           EVP_PKEY_CTX *pctx = EVP_PKEY_CTX_new_from_name(NULL, "RSA", NULL);

           EVP_PKEY_keygen_init(pctx);

           params[0] = OSSL_PARAM_construct_uint("bits", &bits);
           params[1] = OSSL_PARAM_construct_uint("primes", &primes);
           params[2] = OSSL_PARAM_construct_end();
           EVP_PKEY_CTX_set_params(pctx, params);

           EVP_PKEY_generate(pctx, &pkey);
           EVP_PKEY_print_private(bio_out, pkey, 0, NULL);
           EVP_PKEY_CTX_free(pctx);

SEE ALSO
       EVP_RSA_gen(3), EVP_KEYMGMT(3), EVP_PKEY(3), provider-keymgmt(7)

COPYRIGHT
       Copyright 2020-2021 The OpenSSL Project Authors. All Rights Reserved.

       Licensed under the Apache License 2.0 (the "License").  You may not use
       this file except in compliance with the License.  You can obtain a copy
       in the file LICENSE in the source distribution or at
       <https://www.openssl.org/source/license.html>.

3.0.2                             2024-08-20                EVP_PKEY-RSA(7SSL)

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