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The RSA problem is defined as the task of taking e th roots modulo a composite n: recovering a value m such that c ≡ m e (mod n), where (n, e) is an RSA public key, and c is an RSA ciphertext. Currently the most promising approach to solving the RSA problem is to factor the modulus n.
The PKCS #1 standard defines the mathematical definitions and properties that RSA public and private keys must have. The traditional key pair is based on a modulus, n , that is the product of two distinct large prime numbers , p and q , such that n = p q {\displaystyle n=pq} .
In cryptography, a public key certificate, also known as a digital certificate or identity certificate, is an electronic document used to prove the validity of a public key. [ 1 ] [ 2 ] The certificate includes the public key and information about it, information about the identity of its owner (called the subject), and the digital signature of ...
Public-key cryptography, or asymmetric cryptography, is the field of cryptographic systems that use pairs of related keys. Each key pair consists of a public key and a corresponding private key. [1] [2] Key pairs are generated with cryptographic algorithms based on mathematical problems termed one-way functions.
In cryptography, PKCS #11 is a Public-Key Cryptography Standards that defines a C programming interface to create and manipulate cryptographic tokens that may contain secret cryptographic keys. It is often used to communicate with a Hardware Security Module or smart cards .
X.509 public key certificates, X.509 CRLs In cryptography , PKCS #7 ("PKCS #7: Cryptographic Message Syntax", "CMS") is a standard syntax for storing signed and/or encrypted data. PKCS #7 is one of the family of standards called Public-Key Cryptography Standards ( PKCS ) created by RSA Laboratories .
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In cryptography, PKCS (Public Key Cryptography Standards) are a group of public-key cryptography standards devised and published by RSA Security LLC, starting in the early 1990s. The company published the standards to promote the use of the cryptography techniques for which they had patents , such as the RSA algorithm , the Schnorr signature ...