Journal on Communications ›› 2014, Vol. 35 ›› Issue (2): 111-117.doi: 10.3969/j.issn.1000-436x.2014.02.015

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Identity-based fully homomorphic encryption from learning with error problem

Yan GUANG1,2,Yue-fei ZHU1,Jin-long FEI1,2,Chun-xiang GU1,2,Yong-hui ZHENG1,2   

  1. 1 Fourth Institute, PLA Information Engineering University, Zhengzhou 450002, China;
    2 State Key Laboratory of Mathematical Engineering and Advanced Computing, PLA Information Engineering University, Zhengzhou 450002, China
  • Online:2014-02-25 Published:2017-07-25
  • Supported by:
    The National Natural Science Foundation of China;The Key Scientific and Technological Project of Henan Province;The Municipal Science and Technology Innovation Team Project of Zhengzhou

Abstract:

The fully homomorphic encryption schemes based on learning with errors problem own a great potential value in the cloud computing security. However, the existing schemes share a common flaw of large sized public keys, which may cause inefficiency of such schemes in the key and identity management. An identity-based fully homomorphic en-cryption scheme was presented. The scheme compromises the merits of both identity-based and fully homomorphic en-cryption schemes, and it overcomes the above mentioned flaw. The security of the proposed scheme reduces to the hard-ness of learning with errors problem and the one-wayness of trapdoor function in the random oracle model.

Key words: learning with error problem, fully homomorphic encryption, identity-based encryption, random oracle model

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