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Public-key cryptosystems use a public key for encryption and a private key for decryption. Diffie–Hellman key exchange; RSA encryption; Rabin cryptosystem; Schnorr signature; ElGamal encryption; Elliptic-curve cryptography; Lattice-based cryptography; McEliece cryptosystem; Multivariate cryptography; Isogeny-based cryptography
Mathematically, a cryptosystem or encryption scheme can be defined as a tuple (,,,,) with the following properties.. is a set called the "plaintext space". Its elements are called plaintexts.; is a set called the "ciphertext space". Its elements are called ciphertexts.; is a set called the "key space". Its elements are called keys.; = {:} is a set of functions :. Its elements are called ...
RSA (Rivest–Shamir–Adleman) is a public-key cryptosystem, one of the oldest widely used for secure data transmission.The initialism "RSA" comes from the surnames of Ron Rivest, Adi Shamir and Leonard Adleman, who publicly described the algorithm in 1977.
This is an accepted version of this page This is the latest accepted revision, reviewed on 20 January 2025. Practice and study of secure communication techniques "Secret code" redirects here. For the Aya Kamiki album, see Secret Code. "Cryptology" redirects here. For the David S. Ware album, see Cryptology (album). This article needs additional citations for verification. Please help improve ...
Hybrid cryptosystems [ edit ] Because asymmetric key algorithms are nearly always much more computationally intensive than symmetric ones, it is common to use a public/private asymmetric key-exchange algorithm to encrypt and exchange a symmetric key , which is then used by symmetric-key cryptography to transmit data using the now-shared ...
In cryptography, a hybrid cryptosystem is one which combines the convenience of a public-key cryptosystem with the efficiency of a symmetric-key cryptosystem. [1] Public-key cryptosystems are convenient in that they do not require the sender and receiver to share a common secret in order to communicate securely. [2]
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.
Suppose Bob wishes to send a message m to Alice whose public key is (^,): . Bob encodes the message as a binary string of length .; Bob computes the vector ′ = ^.; Bob generates a random -bit vector containing exactly ones (a vector of length and weight ) [1]