Paper 2015/1232 Original: eprint.iacr.org/2015/1232 ↗
Extend FHEW to General Case
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.
Metadata
- Available format(s)
PDF
- Publication info
- Preprint.
- History
- 2015-12-28: last updated
- 2015-12-28: published
- Short URL
- https://ia.cr/2015/1232
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2015/1232,
author = {Zhou Tanping and Liu Longfei and Yang Xiaoyuan and Han Yiliang},
title = {Extend FHEW to General Case},
howpublished = {Cryptology {ePrint} Archive, Paper 2015/1232},
year = {2015},
url = {https://eprint.iacr.org/2015/1232}
}