EVP_PKEY-RSA, EVP_KEYMGMT-RSA, RSA - EVP_PKEY RSA keytype and algorithm support
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.
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.
The RSA "n" value.
The RSA "e" value.
The RSA "d" value.
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 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 CRT (Chinese Remainder Theorem) coefficients. The coefficients are known as "qInv" and "t_i". Up to eight additional "t_i" exponents are supported.
When generating RSA keys, the following key generation parameters may be used.
The value should be the cryptographic length for the RSA cryptosystem, in bits.
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.
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.
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.
These 2 fields are normally randomly generated and are used to generate "p" and "q".
These 4 fields are normally randomly generated. The prime factors "p1", "p2", "q1" and "q2" are determined from these values.
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.
The auxiliary probable primes.
Section B.3.6 Generation of Probable Primes with Conditions Based on Auxiliary Probable Primes
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);
EVP_RSA_gen(3), EVP_KEYMGMT(3), EVP_PKEY(3), provider-keymgmt(7)
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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.