Advances in Homomorphic Cryptosystems

During the last few years homomorphic encryption techniques have been studied extensively since they have become more and more important in many different cryptographic protocols such as voting protocols, lottery protocols, anonymity, privacy, and electronic auctions. This paper critically summarizes the current state-of-art of homomorphic cryptosystems. It recalls the basic ideas, discusses their parameters, performances and security issues. And,finally we present their capabilities in the future applications.