title: A Regev-type fully homomorphic encryption scheme using modulus switching.
abstract: A critical challenge in a fully homomorphic encryption (FHE) scheme is to manage noise. Modulus switching technique is currently the most efficient noise management technique. When using the modulus switching technique to design and implement a FHE scheme, how to choose concrete parameters is an important step, but to our best knowledge, this step has drawn very little attention to the existing FHE researches in the literature. The contributions of this paper are twofold. On one hand, we propose a function of the lower bound of dimension value in the switching techniques depending on the LWE specific security levels. On the other hand, as a case study, we modify the Brakerski FHE scheme (in Crypto 2012) by using the modulus switching technique. We recommend concrete parameter values of our proposed scheme and provide security analysis. Our result shows that the modified FHE scheme is more efficient than the original Brakerski scheme in the same security level.
authors.affiliation: College of Computer Science and Technology, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China ; College of Computer and Information, Zhejiang Wanli University, Ningbo, Zhejiang 315100, China ; Information Security Group, Royal Holloway, University of London, Egham, Surrey TW20 0EX, UK.
authors.forename: Zhigang
authors.initials: Z
authors.lastname: Chen
authors.affiliation: College of Computer Science and Technology, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China.
authors.forename: Jian
authors.initials: J
authors.lastname: Wang
authors.affiliation: HP Labs, Bristol BS34 8QZ, UK.
authors.forename: Liqun
authors.identifier: 0000-0003-1274-0113
authors.initials: L
authors.lastname: Chen
authors.affiliation: College of Junior, Zhejiang Wanli University, Ningbo, Zhejiang 315101, China.
authors.forename: Xinxia
authors.initials: X
authors.lastname: Song