对一个群签名方案的分析与改进

摘要

Analysis of a group signature scheme based on Chinese remainder theorem, shows that the scheme is insecure:any member of a group or a group member has been revoked can completely break the scheme. Aiming at these flaws, this paper puts forward an improved scheme. Analysis results show that new scheme can effectively add or delete group members while keeping secret keys of other members unchanged. Moreover, the new scheme has many properties, such as unforgeability, excul-pability and coalition-resistant.%分析了一个基于中国剩余定理的群签名方案，指出此方案并不安全：任何一个群成员或已被撤销的群成员都可以完全攻破此方案。针对该安全缺陷提出了一个改进的新方案。分析表明，该方案不仅可以在不改变其他群成员密钥的情况下有效地增加和撤销群成员，而且具有不可伪造性、防陷害攻击、抗联合攻击等性质。