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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 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 (,), where d is the private exponent.
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 ...
Public Key: A public key belonging to the certificate subject. Signature Algorithm: This contain a hashing algorithm and a digital signature algorithm. For example "sha256RSA" where sha256 is the hashing algorithm and RSA is the signature algorithm.
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.
RSA (cryptosystem) (Rivest–Shamir–Adleman), for public-key encryption RSA Conference, annual gathering; RSA Factoring Challenge, for factoring a set of semi-prime numbers; RSA numbers, with two prime numbers as factors
Public-key algorithms use a public key and a private key. The public key is made available to anyone (often by means of a digital certificate). A sender encrypts data with the receiver's public key; only the holder of the private key can decrypt this data. Since public-key algorithms tend to be much slower than symmetric-key algorithms, modern ...