一个基于中国剩余定理的群签名方案的密码学分析与改进  

Cryptanalysis and improvement of group signature scheme based on Chinese remainder theorem

作　　者：鲁飞[1] 张亚平[2] 马建军 

机构地区：[1]天津大学计算机科学与技术学院,天津300072 [2]天津大学软件学院,天津300072 [3]天津华勘基础工程检测有限公司,天津300072

出　　处：《计算机应用研究》2011年第6期2193-2195,共3页Application Research of Computers

基　　金：国家自然科学基金资助项目(60776807);天津市自然科学基金重点项目(09JCZDJC16800)

摘　　要：在基于中国剩余定理的群签名方案分析的基础上,发现现有方案在防伪造、防陷害、抗联合攻击以及满足非关联性方面还存在不足之处。通过对不足方案进行密码学分析,综合应用RSA和Schnorr签名算法,并使群中心参与到群签名的验证与打开过程中,进而提出了一种改进的群签名方案。在RSA和离散对数假设下,证明了新方案能有效地抵御伪造、陷害、联合攻击,而且满足了群签名的非关联性。Analysis of group signature scheme based on Chinese remainder theorem shows that the existing group signature schemes have some defects in forgery,frame-up,joint strike and the non-relevance.Through the Cryptanalysis of the defective schema,this paper provided an improved group signature scheme which contained the RSA and the Schnorr signature algorithm,and the group-center took part in the process of group signature＇s validation and open.Under the assumption of RSA and discrete Logarithm problem,it proves that the new scheme can not only effectively against forgery,frame-up and the joint strike,but also meet the requirement of the non-relevance in group signature.

关 键 词：群签名 中国剩余定理 非关联性 伪造攻击 联合攻击 

分 类 号：TP309[自动化与计算机技术—计算机系统结构]