Public-key encryption schemes

Paillier cryptosystem

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. The decisional composite residuosity assumption is the intractability hypothesis upon which this cryptosystem is based. The scheme is an additive homomorphic cryptosystem; this means that, given only the public key and theencryption of and , one can compute the encryption of . (Wikipedia).

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Related pages

Binomial theorem | Least common multiple | Blinding (cryptography) | Decisional composite residuosity assumption | Semantic security | Okamoto–Uchiyama cryptosystem | Threshold cryptosystem | Cramer–Shoup cryptosystem | Homomorphic encryption | Naccache–Stern cryptosystem | Malleability (cryptography) | Modular multiplicative inverse | Quotient | Damgård–Jurik cryptosystem