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Of two odd primes p and q, and the private exponent d is a positive N is the same as in the corresponding public key and is the product In a valid RSA private key with the first representation, the modulus
![xsection 10.2 xsection 10.2](https://i.ytimg.com/vi/T837l9Q-Oic/maxresdefault.jpg)
QInv, the CRT coefficient, a nonnegative integer Q, the second factor, a nonnegative integerĭP, the first factor's exponent, a nonnegative integerĭQ, the second factor's exponent, a nonnegative integer P, the first factor, a nonnegative integer QInv), where the components have the following meanings: The second representation consists of a quintuple (p, q, dP, dQ, The first representation consists of the pair (n, d), where theĭ, the private exponent, a nonnegative integerĢ. Implementation's internal representation may differ.įor the purposes of this document, an RSA private key may have eitherġ. A recommended syntax for interchanging RSA public keysīetween implementations is given in Section 11.1.1 an Primes p and q, and the public exponent e is an integer between 3 and In a valid RSA public key, the modulus n is a product of two odd Public key and an RSA private key form an RSA key pair.įor the purposes of this document, an RSA public key consists of twoĮ, the public exponent, a nonnegative integer This document: RSA public key and RSA private key. Two key types are employed in the primitives and schemes defined in \xor bitwise exclusive-or of two octet strings QInv CRT coefficient, a positive integer less M message representative, an integer between HLen output length in octets of hash function Hash Section 13 contains references to other publications andĬ ciphertext representative, an integer between 0 and n-1ĭP p's exponent, a positive integer such that:ĭQ q's exponent, a positive integer such that:ĮmLen intended length in octets of an encoded message Section 12 outlines the revision history of PKCS #1. Section 3 and the schemes gives in Sections 7 and 8. Section 11 defines the ASN.1 syntax for the keys defined in Section 10 defines the hash functions and the mask generation Section 9 defines the encoding methods for the encryption and Section 8 defines a signature scheme withĪppendix the method is identical to that of PKCS #1 v1.5. Section 7 definesĪn OAEP-based encryption scheme along with the method found Section 6, 7 and 8 deal with the encryption and signature schemes Signature-verification) are in Section 5. Data conversion primitives are in Section 4, andĬryptographic primitives (encryption-decryption, Sections 4 and 5 define several primitives, or basic mathematical Section 3 defines the RSA public and private key types. Section 2 defines some notation used in this document. The organization of this document is as follows: Generation, key validation, and signature schemes with message It is expected that subsequent versions of PKCS #1 mayĬover other aspects of the RSA algorithm such as key size, key RFC 2437 PKCS #1: RSA Cryptography Specifications October 1998Įditor's note.
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This document supersedes PKCS #1 version 1.5. Recommendations are intended to be compatible with draft standardsĬurrently being developed by the ANSI X9F1 and IEEE P1363 working It is expected that application standardsīased on these specifications may include additional constraints. The recommendations are intended for general application withinĬomputer and communications systems, and as such include a fairĪmount of flexibility.
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ASN.1 syntax for representing keys and for identifying the Recommendations for the implementation of public-key cryptographyīased on the RSA algorithm, covering the following aspects: 33 12.1 Patent statement for the RSA algorithm. 24 9.2 Encoding methods for signatures with appendix.
XSECTION 10.2 VERIFICATION
RFC 2437 PKCS #1: RSA Cryptography Specifications October 1998 8.1.2 Signature verification operation. 9 5.2 Signature and verification primitives. 8 5.1 Encryption and decryption primitives. Distribution of thisĬopyright (C) The Internet Society (1998). Not specify an Internet standard of any kind. This memo provides information for the Internet community. PKCS #1: RSA Cryptography Specifications Version 2.0 RFC 2437: PKCS #1: RSA Cryptography Specifications Version 2.0