中文摘要：

基于有限域上的多项式分解定理,给出一种新的群成员撤销方案.新方案的特点是：不需要群管理员和成员的交互;在成员增加和撤销过程中不改变成员的密钥;签名算法等同于一个普通签名,验证算法与撤销成员的个数无关.并分析了提出方案的安全性和性能.

英文摘要：

Based the factorial decompose theorem of polynornaial with factors in a finite field, a new group signature schemes is propined. The solution is efficient in that it needs no communication between group manager and member, and the member＇s key is not need to change when the group manager adds or excludes the group members. The signing is same as a normal signature, and the computational cost of verifying is independent of the number of the revoked members. At last, the security is analyzed under factorial decompose theorem of polynomial and discrete logarithm problem assumption.