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The Paillier cryptosystem, invented by and named after Pascal Paillier in 1999, is a probabilistic asymmetric algorithm for public key cryptography.The problem of computing n-th residue classes is believed to be computationally difficult.
An unpredictable (typically large and random) number is used to begin generation of an acceptable pair of keys suitable for use by an asymmetric key algorithm. In this example the message is digitally signed with Alice's private key, but the message itself is not encrypted. 1) Alice signs a message with her private key.
For a description of the private key, an error-correcting code is selected for which an efficient decoding algorithm is known, and that is able to correct errors. The original algorithm uses binary Goppa codes (subfield codes of algebraic geometry codes of a genus-0 curve over finite fields of characteristic 2); these codes can be efficiently ...
The Diffie–Hellman and RSA algorithms, in addition to being the first publicly known examples of high-quality public-key algorithms, have been among the most widely used. Other asymmetric-key algorithms include the Cramer–Shoup cryptosystem, ElGamal encryption, and various elliptic curve techniques.
Pages in category "Asymmetric-key algorithms" The following 15 pages are in this category, out of 15 total. This list may not reflect recent changes. C.
Asymmetric keys differ from symmetric keys in that the algorithms use separate keys for encryption and decryption, while a symmetric key’s algorithm uses a single key for both processes. Because multiple keys are used with an asymmetric algorithm, the process takes longer to produce than a symmetric key algorithm would.
Goldwasser–Micali consists of three algorithms: a probabilistic key generation algorithm which produces a public and a private key, a probabilistic encryption algorithm, and a deterministic decryption algorithm. The scheme relies on deciding whether a given value x is a square mod N, given the factorization (p, q) of N. This can be ...
For a probabilistic asymmetric key encryption algorithm, indistinguishability under chosen plaintext attack (IND-CPA) is defined by the following game between an adversary and a challenger. For schemes based on computational security , the adversary is modeled by a probabilistic polynomial time Turing machine , meaning that it must complete the ...