Overview on the Research Status and Development Route of Fully Homomorphic Encryption Technology
With the application and popularization of IoT,cloud computing,and artificial intelligence,data security and privacy protection have become the focus of attention.Fully homomorphic encryption,as an effective solution to the privacy security problem,allows performing arbitrary homomorphic computation on encrypted data,and is a powerful encryption tool with a wide range of potential applications.The paper summarizes the proposed fully homomorphic encryption schemes since 2009,and divides them into four technical routes based on the core technologies of the schemes,analyzes and discusses the key constructs,algorithm optimization processes,and future development directions of each type of scheme.The paper firstly introduces fully homomorphic encryption-related mathematical principles,covering the basic assumptions and security features of fully homomorphic encryption schemes.Subsequently,according to the technical routes of the four fully homomorphic encryption schemes,it summarizes the structural general formulas of the encryption schemes,summarizes the core steps of the bootstrap algorithms,discusses the latest research progress,and on the basis of this,comprehensively analyzes and compares the storage efficiencies and computing speeds of various schemes.The paper finally shows the application implementation of homomorphic algorithm library for encryption schemes under each technical route,analyzes the opportunities and challenges of fully homomorphic encryption schemes in the current era,and makes an outlook on the future research prospects.
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维普
