基于密钥矩阵的群代理签名方案

针对目前已有的群代理签名方案不具有强不可伪造性和无法抵抗代理者自身合谋欺骗等问题,提出了一种基于密钥矩阵的抗合谋欺骗的群代理签名方案,在依赖于CDH问题的困难性以及双线性映射的基础上,运用密钥矩阵的秩的特性对传统的秘密共享方案进行了改进,并对其正确性、安全性和效率进行了分析。该方案提高了系统的容侵性,具有强不可伪造性、强不可否认性、抗合谋欺骗等性质,是一种具有前向安全性的群代理签名方案。

A Group Proxy Signature Scheme Based on Key Matrix

In order to overcome the problems that the existing group proxy signature schemes do not have strong unforgeability and can not resist collusion attack by proxy themselves,a group proxy signature scheme of resisting collusion attack based on key matrix was proposed.Based on CDH problem and bilinear pairings,the traditional secret sharing scheme was improved by using rank of matrix,and its correctness,security and efficiency were analyzed.The scheme enhances intrusion-tolerance of system,has strong unforgeability and non-repudiation,and can resist collusion attack.It is a forward-secure group proxy signature scheme.