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The Scientific World Journal
Volume 2014, Article ID 983862, 12 pages
Research Article

A Regev-Type Fully Homomorphic Encryption Scheme Using Modulus Switching

1College of Computer Science and Technology, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
2College of Computer and Information, Zhejiang Wanli University, Ningbo, Zhejiang 315100, China
3Information Security Group, Royal Holloway, University of London, Egham, Surrey TW20 0EX, UK
4HP Labs, Bristol BS34 8QZ, UK
5College of Junior, Zhejiang Wanli University, Ningbo, Zhejiang 315101, China

Received 9 March 2014; Accepted 14 May 2014; Published 25 June 2014

Academic Editor: Tianjie Cao

Copyright © 2014 Zhigang Chen et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.