一个安全的门限群签名方案  

A Secure Threshold Group Signature Scheme

作　　者：尚光龙[1] 曾雪松[1] 

机构地区：[1]信阳职业技术学院数学与计算机科学学院,河南信阳464000

出　　处：《河北北方学院学报（自然科学版）》2017年第7期6-10,共5页Journal of Hebei North University:Natural Science Edition

基　　金：河南省科技厅重点科技攻关项目(142102210331)

摘　　要：目的针对门限群签名中普遍存在的签名参与者出示假秘钥进行内部欺诈或内外勾结欺诈问题,提出一个安全性增强的门限群签名方案,并给出安全性论证和计算量分析。方法根据RSA加密体制原理,可信中心TA生成RSA密码体制相关参数,为每个群成员生成验证片断和身份标签,同时利用大整数分解的困难性和强Hash函数的单向性,解决门限群签名中可能存在的门限欺诈问题并改善方案性能;结果依据大整数分解的困难性和强Hash函数的单向性,通过验证片段,解决了门限群签名中可能存在的门限欺诈问题;通过引入成员标签,提高群成员加入和撤销的效率,改善系统性能;依据Shamir秘密共享体制,解决签名伪造问题;同时也解决了传统意义上的群签名需要满足的抗合谋攻击等安全问题;最后,对方案安全性和算法效率进行了分析、计算。结论经分析论证表明,基于RSA密码体制和Shamir门限机制,通过引入验证片断和成员标签,提出的门限群签名方案克服了传统门限群签名存在的门限欺诈问题,提高了门限群签名的安全性,改善了方案性能,是一个符合门限机制、安全性增强的群签名方案,具有一定的理论和应用价值。Objective Aiming at the problem of signature participants' fraud in threshold group signature,this paper proposed a security enhanced threshold group signature scheme to solve this problem,and gave the security analysis and calculation.Methods Based on the intricate nature of factoring problem and the One-way Function,the TA generates the relevant parameters,and the verifying-share and identity tag for each participants.Results To detect the cheat between each participant,by making use of the difficulty of large integer factorization,this paper improved the security of the signature,introduced the concept of Label,solved the member's addition and deletion in an efficient way,improved the performance of the system.In addition,it solved the problem of the conspiracy attack.At last,we addressed the security of the scheme and analyzed the algorithm.Conclusion Analysis shows that the scheme improved the security of the threshold group signature and the efficiency,which has certain theoretical and application value.

关 键 词：RSA公钥密码体制 门限机制 群签名 

分 类 号：TP309[自动化与计算机技术—计算机系统结构]