A Group Signature Scheme Based on Chinese Remainder Theorem

CHEN Ze-wen; ZHANG Long-jun; WANG Yu-min; HUANG Ji-wu; HUANG Da-ren

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A Group Signature Scheme Based on Chinese Remainder Theorem

更新时间：2025-07-16

- A Group Signature Scheme Based on Chinese Remainder Theorem
- Acta Electronica Sinica Vol. 32, Issue 7, Pages: 1062-1065(2004)
- 作者机构：
  
  1. 广州中山大学信息科学与技术学院,广东,广州,510275
  2. 上海交通大学计算机科学与工程系,上海,200030
  3. 西安电子科技大学ISN国家重点实验室,陕西西安 7100714
  4. 广州中山大学信息科学与技术学院广东广州,510275
  5. 上海交通大学计算机科学与工程系上海,200030
  6. 西安电子科技大学ISN国家重点实验室陕西西安 7100714
- 作者简介：
- 基金信息：
- DOI：
  CLC： TN918
- Published：2004
- 稿件说明：
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CHEN Ze-wen, ZHANG Long-jun, WANG Yu-min, et al. A Group Signature Scheme Based on Chinese Remainder Theorem[J]. Acta Electronica Sinica, 2004, 32(7): 1062-1065.
DOI：

CHEN Ze-wen, ZHANG Long-jun, WANG Yu-min, et al. A Group Signature Scheme Based on Chinese Remainder Theorem[J]. Acta Electronica Sinica, 2004, 32(7): 1062-1065. DOI：

摘要

在群签名方案中

群中任意成员可以代表整个群体生成签名.在有争议的情况下

群管理人可以确定签名人的身份.成员的撤消是群签名中的一个重要问题

在目前已知的各种撤消方案中

还不存在一种方案可以在不改变其它有效群成员的密钥的情况下

安全地撤消群成员.并且增加或撤消一个成员至少都需要指数运算

因此计算复杂度高.本文提出了一种基于中国剩余定理的群签名方案.该方案有三个特征:(1)在不改变其它有效群成员的密钥的情况下

可以安全地增加或撤消群成员;(2)增加或撤消的过程中只需要乘法运算

并且在撤消时群公钥的长度不变;(3)安全性是基于大数分解的困难性.

Abstract

Group signature schemes allow any member of a group to sign message on behalf of the group.In case of dispute

the group manager can reveal the identity of actual signer.Revocation of membership is an important problem in group signature schemes

but among the existing group schemes

there is not any scheme which can safely delete the group member without changing secret keys of the other available group members and the cost of deleting group member is high.A new scheme based on Chinese remainder theorem is proposed in this paper and it has three merits.First

the group manager can safely add or delete members while keeping the secretkeys of the other available members unchanged.Second

only mutiplitation is needed and the length of group center's public keys is unchanged during the revocation.Third

the security of this scheme relies on the factoring of large integers.

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