Abstract

Four kinds of single homomorphic encryption algorithm were summarized for the advantages of homomorphic encryption technology in the cloud environment. It analyzed the security characteristics of four kinds of encryption algorithms. On the basis of experiments, the paper compared the efficiency of four single homomorphic encryption algorithms, gave the application scenarios of various algorithms, and introduced the research and application of single homomorphic encryption algorithm in the cloud environment. We described five kinds of fully homomorphic encryption algorithms, summarized the research situation and its application in the cloud environment and the performance of some fully homomorphic encryption algorithms were analyzed. Finally, we proposed the research direction for the subsequent studies.

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