PKCS #1 RSA key pair generation

The PKCS #1 RSA key pair generation mechanism, denoted CKM_RSA_PKCS_KEY_PAIR_GEN, is a key pair generation mechanism based on the RSA public-key cryptosystem, as defined in PKCS #1.

It does not have a parameter.

The mechanism generates RSA public/private key pairs with a particular modulus length in bits and public exponent, as specified in the CKA_MODULUS_BITS and CKA_PUBLIC_EXPONENT attributes of the template for the public key. The CKA_PUBLIC_EXPONENT may be omitted in which case the mechanism shall supply the public exponent attribute using the default value of 0x10001 (65537). Specific implementations may use a random value or an alternative default if 0x10001 cannot be used by the token.

Note: Implementations strictly compliant with version 2.11 or prior versions may generate an error if this attribute is omitted from the template. Experience has shown that many implementations of 2.11 and prior did allow the CKA_PUBLIC_EXPONENT attribute to be omitted from the template, and behaved as described above. The mechanism contributes the CKA_CLASS, CKA_KEY_TYPE, CKA_MODULUS, and CKA_PUBLIC_EXPONENT attributes to the new public key. CKA_PUBLIC_EXPONENT will be copied from the template if supplied. CKR_TEMPLATE_INCONSISTENT shall be returned if the implementation cannot use the supplied exponent value. It contributes the CKA_CLASS and CKA_KEY_TYPE attributes to the new private key; it may also contribute some of the following attributes to the new private key: CKA_MODULUS, CKA_PUBLIC_EXPONENT, CKA_PRIVATE_EXPONENT, CKA_PRIME_1, CKA_PRIME_2, CKA_EXPONENT_1, CKA_EXPONENT_2, CKA_COEFFICIENT. Other attributes supported by the RSA public and private key types (specifically, the flags indicating which functions the keys support) may also be specified in the templates for the keys, or else are assigned default initial values.

For this mechanism, the ulMinKeySize and ulMaxKeySize fields of the CK_MECHANISM_INFO structure specify the supported range of RSA modulus sizes, in bits.

RSA Security Inc. Public-Key Cryptography Standards - PKCS#11 - v230