Security Analysis and Improvement of a Group Signature Scheme Based on Chinese Remainder Theory

李新社 1; 乐开端 2; 胡予濮 1

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Security Analysis and Improvement of a Group Signature Scheme Based on Chinese Remainder Theory

更新时间：2025-12-08

- Security Analysis and Improvement of a Group Signature Scheme Based on Chinese Remainder Theory
- Vol. 43, Issue 2, Pages: 77-80(2009)
- 作者机构：
  
  西安电子科技大学计算机网络与信息安全教育部重点实验室,西安,710071
- 作者简介：
- 基金信息：
- DOI：
  CLC： TN918.1
- Online First：10 February 2009，
  
  Published：2009
- 稿件说明：
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李新社 1, 乐开端 2, 胡予濮 1. Security Analysis and Improvement of a Group Signature Scheme Based on Chinese Remainder Theory[J]. 2009, 43(2): 77-80.
DOI：

李新社 1, 乐开端 2, 胡予濮 1. Security Analysis and Improvement of a Group Signature Scheme Based on Chinese Remainder Theory[J]. 2009, 43(2): 77-80. DOI：

摘要

运用RSA公钥密码体制共模攻击原理

分析了Chen方案的安全性

证明Chen方案在群成员的加入、删除、身份验证等环节中存在安全漏洞:只需在任一群成员帮助下

不需经过群中心

任何攻击者都可伪装成群成员

群成员之间也可以互相伪造签名.针对Chen方案存在的安全缺陷

提出了一种新型的群签名方案

并对其安全性数学原理进行了分析和研究.结果表明

该新方案可以抵抗共模攻击

具有可撤消、不可伪造、抗联合攻击、防陷害等性质.

Abstract

The security of Chen scheme is analyzed with common modulus attack method of RSA public key cryptography

and some secure shortages in the process of adding

deleting and verifying a group member are detected. With the help of a legal group member in Chen scheme

any attacker who tries to bypass the group center can disguise himself as a group member

and group members can forge a signature each other. To get rid of the secure shortages in Chen scheme

a novel group signature scheme is proposed

and its security mathematics principle is analyzed to show that the new scheme is immune to common modulus attack with revocable property

unforgeability

coalition-resistance

security against framing attack

etc.

关键词

Keywords

references

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NAKANISHI T, FUJIWARA T, WATANABE H. A linkable group signature and its application to a fair secret voting [J]. Trans IPS JAPAN, 1999, 40(7):3085-3096.

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