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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 modulus "n" value.

       "e" (OSSL_PKEY_PARAM_RSA_E) <unsigned integer>
           The  RSA  public  exponent "e" value.  This value must always be set
           when creating a raw key using EVP_PKEY_fromdata(3).  Note that  when
           a  decryption  operation  is  performed, that this value is used for
           blinding purposes to prevent timing attacks.

       "d" (OSSL_PKEY_PARAM_RSA_D) <unsigned integer>
           The RSA private exponent "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-derive-from-pq"  (OSSL_PKEY_PARAM_RSA_DERIVE_FROM_PQ) <unsigned
       integer>
           Indicate  that  missing  parameters not passed in the parameter list
           should be derived if not provided.  Setting  a  nonzero  value  will
           cause  all  needed  exponents  and coefficients to be derived if not
           available.     Setting    this    option    requires    at     least
           OSSL_PARAM_RSA_FACTOR1, OSSL_PARAM_RSA_FACTOR2, and OSSL_PARAM_RSA_N
           to     be     provided.      This     option     is    ignored    if
           OSSL_KEYMGMT_SELECT_PRIVATE_KEY  is  not  set   in   the   selection
           parameter.

   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.

   RSA key validation
       For RSA keys, EVP_PKEY_param_check(3) and  EVP_PKEY_param_check_quick(3)
       both return 1 unconditionally.

       For  RSA  keys,  EVP_PKEY_public_check(3)  conforms  to  the SP800-56Br1
       public key check when the OpenSSL FIPS provider  is  used.  The  OpenSSL
       default   provider  performs  similar  tests  but  relaxes  the  keysize
       restrictions for backwards compatibility.

       For  RSA   keys,   EVP_PKEY_public_check_quick(3)   is   the   same   as
       EVP_PKEY_public_check(3).

       For  RSA  keys,  EVP_PKEY_private_check(3)  conforms  to the SP800-56Br1
       private key test.

       For RSA keys, EVP_PKEY_pairwise_check(3)  conforms  to  the  SP800-56Br1
       KeyPair  Validation  check  for  the  OpenSSL FIPS provider. The OpenSSL
       default provider allows testing of the validity of multi-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 2020-2024 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>.

3.5.4                              2025-09-30                EVP_PKEY-RSA(7SSL)

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