具有可追查性的抗合谋攻击门限签名方案

Threshold Signature Scheme with Traceability and Resisting Conspiracy Attack

好的门限签名方案应该具有很高的安全性,能够检测出任意不诚实成员的欺诈行为,同时能实现签名的匿名性和可追查性,并能抵抗合谋攻击和各种伪造性攻击。通过密码学分析和算法结构设计,首先讨论了实现门限签名匿名性和可追查性的一种有效方法,然后基于Waters基础签名方案,引入Gennaro分布式密钥生成协议、可验证秘密共享技术及部分签名验证协议,提出了一个具有匿名性和可追查性,抗合谋攻击及其他各种伪造性攻击,部分签名可验证的(t,n)门限签名方案,并在离散对数问题和双线性对逆运算问题两个困难问题假设下,给出了方案安全性的详细证明。

The threshold signature schemes with better security cannot only detect any member＇s cheat behavior,provide anonymity and traceability simultaneously,but also resist conspiracy attack and every forgery attack.Through analysis for cryptography and algorithm design,it is discussed firstly of a method of the implementation of anonymity and traceability of threshold signature,then a partial signature verifiable（t,n） threshold signature scheme is proposed with anonymity and traceability simultaneously,resisting conspiracy attack and other forgery attacks.Based on the discrete logarithm difficulty and inverse bilinear pairing operation difficulty,certify has been given on security of the scheme in detail.