Search results
Results from the WOW.Com Content Network
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 RSA public key is represented as the tuple (,), where the integer e is the public exponent. The RSA private key may have two representations. The first compact form is the tuple ( n , d ) {\displaystyle (n,d)} , where d is the private exponent.
The private key for a public key (,) is the secret odd prime factorization of , chosen uniformly at random from some large space of primes. Signing a message To make a signature on a message m {\displaystyle m} using the private key, the signer starts by picking a k {\displaystyle k} -bit string u {\displaystyle u} uniformly at random, and ...
More specifically, the RSA problem is to efficiently compute P given an RSA public key (N, e) and a ciphertext C ≡ P e (mod N). The structure of the RSA public key requires that N be a large semiprime (i.e., a product of two large prime numbers), that 2 < e < N, that e be coprime to φ(N), and that 0 ≤ C < N.
The Rabin cryptosystem is a family of public-key encryption schemes based on a trapdoor function whose security, like that of RSA, is related to the difficulty of integer factorization. [ 1 ] [ 2 ] The Rabin trapdoor function has the advantage that inverting it has been mathematically proven to be as hard as factoring integers, while there is ...
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 (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 ...
This process produces a short fingerprint which can be used to authenticate a much larger public key. For example, whereas a typical RSA public key will be 2048 bits in length or longer, typical MD5 or SHA-1 fingerprints are only 128 or 160 bits in length. When displayed for human inspection, fingerprints are usually encoded into hexadecimal ...