Cryptology ePrint Archive: Report 2015/1232

Extend FHEW to General Case

Zhou Tanping*, Liu Longfei, Yang Xiaoyuan, Han Yiliang

Abstract: When talking about FHE, refresh process is a little different from bootstrapping process. Bootstrapping always means that a scheme homomorphic decrypting its process, while refresh imply that use another scheme, always in large scale, to perform its decryption process. In EUROCRYPT’2015, Ducas and Micciancio proposed a FHE which can perform refresh process in less than a second, called DM14, while the scheme only support bite plaintext space, which is cumbersome for many applications. Extending DM14 to a large plaintext space becomes an open problem. In order to solve it, we improved the msbExtract process to endure a large base, by mapping the element to position. As a result, we constructed an efficient FHE with large plaintext space and quickly refresh process. We implemented our scheme in computer, and made a comparison between our performance and DM14. The result is that the running time is almost same, when extend the plaintext space from 2 to 8.

Category / Keywords: public key encryption; fully homomorphic encryption; refresh process; large plaintext space

Date: received 23 Dec 2015

Contact author: 850301775 at qq com

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Version: 20151228:162715 (All versions of this report)

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