Technology of Information Security
|
2826-2831

Zero-knowledge proof and group signatures based on supersingular isogeny

Zhao Xingbo
Li Mengdong
Wang Ying
Zhu Yilin
Dept. of Cryptology Science & Technology, Beijing Electronic Science & Technology Institute, Beijing 100070, China

Abstract

Bullens et al. left an open problems in CSI-Fish was to devise an identification protocol that allowed for the challenge set to be ZN rather than the small set {-S,…,S}. This paper proposed a zero-knowledge proof scheme based on supersingular isogeny. This scheme addressed the open problem by taking the challenge C as an isogeny, and reduced the soundness error and the size of public key. This scheme could be turned into non-interactive zero-knowledge proof scheme using the Fiat-Shamir transform. Then signature scheme and group signature scheme based on supersingular isogeny could be implemented under the quantum random oracles model. And this paper analyzed the security and correctness of these schemes.

Foundation Support

教育部信息安全一流专业建设点项目

Publish Information

DOI: 10.19734/j.issn.1001-3695.2021.12.0705
Publish at: Application Research of Computers Printed Article, Vol. 39, 2022 No. 9
Section: Technology of Information Security
Pages: 2826-2831
Serial Number: 1001-3695(2022)09-041-2826-06

Publish History

[2022-04-11] Accepted Paper
[2022-09-05] Printed Article

Cite This Article

赵兴波, 李梦东, 王颖, 等. 基于超奇异同源的零知识证明及群签名方案 [J]. 计算机应用研究, 2022, 39 (9): 2826-2831. (Zhao Xingbo, Li Mengdong, Wang Ying, et al. Zero-knowledge proof and group signatures based on supersingular isogeny [J]. Application Research of Computers, 2022, 39 (9): 2826-2831. )

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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.

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