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| Analysis of Constructing Fully Homomorphic Encryption Based on the Abstract Decryption Structure |
| SONG Xinxia① CHEN Zhigang②③ |
①(College of Junior, Zhejiang Wanli University, Ningbo 315100, China)
②(College of Electronics and Computer, Zhejiang Wanli University, Ningbo 315100, China)
③(State Key Laboratory of Information Security, Institute of Information Engineering, Chinese Academy of Sciences, Beijing 100093, China) |
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Abstract Why can fully homomorphic encryption be constructed based on lattice What is the essence and construction of the matrix An important concept is proposed: Abstract decryption structure. Based on the abstract decryption structure, the main factors related to the homomorphic encryption are analyzed and relationship between abstract decryption structure, homomorphism and noise control is studied. The construction of the homomorphic encryption is attributed to the problem of how to obtain the final decryption structure. So the formal method of homomorphic encryption can be established. Thus the essential law of the construction method of the homomorphic encryption construction is expounded, which provides the clue and clue for the construction of the new full homomorphic encryption. The general reason of the full homomorphic encryption of the ciphertext matrix from the point of view of the ciphertexts stack method is studied. The relation between the full homomorphic encryption and the other homomorphic encryption is obtained. Finally, this paper gives a general method of constructing fully homomorphic encryption.
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Received: 24 October 2017
Published: 11 May 2018
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| Fund:The Public Projects of Zhejiang Province (2017C33079, LGG18F020001), The Natural Science Foundation of Zhejiang Province (LY17F020002), The Foundation of the State Key Laboratory of Cryptology, The Ningbo Natural Science Foundation (2017A610120) |
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Corresponding Authors:
CHEN Zhigang
E-mail: zhig.chen@foxmail.com
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