Technology of Information Security
|
App. Res. of Comp. Printed Article
Vol. 38, 2021 No. 2
579-583

Design of fully homomorphic encryption scheme supporting multi-bit encryption

Chen Li1
Zhou Yang1
Duan Ran2
1. Institute of Network Information Security, Henan University of Economics & Law, Zhengzhou 450046, China
2. State Key Laboratory of Mathematical Engineering & Advanced Computing, Wuxi Jiangsu 214125, China
DOI: 10.19734/j.issn.1001-3695.2019.10.0680

Abstract

The existing fully homomorphic encryption schemes are faced with challenges like large ciphertext sizes or low efficiency in calculation due to single-bit encryption. Based on the fully homomorphic encryption scheme proposed by Gentry et al. (GSW13 scheme), this paper proposed a new fully homomorphic encryption scheme by modifying its expansion method and using the idea of approximate eigenvector. It reduced the security of the new scheme to the complexity of the DLWE problem under the random oracle model, and gave the proof of its correctness and security. It used the multi-bit encryption to optimize the new scheme without changing the scheme parameters. Compared with the GSW13 scheme, the ciphertext size of the proposed scheme is reduced by 61.47%, and the number of encryption operations is minimized by 68.97%. The proposed scheme not only further reduces the ciphertext size, but also greatly reduces the number of homomorphic operations, thus further improving the scheme efficiency.

Foundation Support

国家自然科学基金资助项目(61170234,61309007)
河南省高校科技创新人才支持计划项目(13HASTIT043)
河南省高等学校重点科研项目(20A520001)

Publish Information

DOI: 10.19734/j.issn.1001-3695.2019.10.0680
Publish at: Application Research of Computers Printed Article, Vol. 38, 2021 No. 2
Section: Technology of Information Security
Pages: 579-583
Serial Number: 1001-3695(2021)02-050-0579-05

Publish History

[2021-02-05] Printed Article

Cite This Article

陈莉, 周扬, 段然. 支持多比特加密的全同态加密体制设计 [J]. 计算机应用研究, 2021, 38 (2): 579-583. (Chen Li, Zhou Yang, Duan Ran. Design of fully homomorphic encryption scheme supporting multi-bit encryption [J]. Application Research of Computers, 2021, 38 (2): 579-583. )

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  • Application Research of Computers Monthly Journal
  • Journal ID ISSN 1001-3695
    CN  51-1196/TP

Application Research of Computers, founded in 1984, is an academic journal of computing technology sponsored by Sichuan Institute of Computer Sciences under the Science and Technology Department of Sichuan Province.

Aiming at the urgently needed cutting-edge technology in this discipline, Application Research of Computers reflects the mainstream technology, hot technology and the latest development trend of computer application research at home and abroad in a timely manner. The main contents of the journal include high-level academic papers in this discipline, the latest scientific research results and major application results. The contents of the columns involve new theories of computer discipline, basic computer theory, algorithm theory research, algorithm design and analysis, blockchain technology, system software and software engineering technology, pattern recognition and artificial intelligence, architecture, advanced computing, parallel processing, database technology, computer network and communication technology, information security technology, computer image graphics and its latest hot application technology.

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