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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.
The encryption algorithm implements an XOR-based stream cipher using the Blum-Blum-Shub (BBS) pseudo-random number generator to generate the keystream. Decryption is accomplished by manipulating the final state of the BBS generator using the private key , in order to find the initial seed and reconstruct the keystream.
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.
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.
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 ...
The algorithm is based on the hardness of decoding a general linear code (which is known to be NP-hard [3]). 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 keys, in practice, represent a shared secret between two or more parties that can be used to maintain a private information link. [2] The requirement that both parties have access to the secret key is one of the main drawbacks of symmetric-key encryption, in comparison to public-key encryption (also known as asymmetric-key encryption).
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.