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

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.