基于椭圆曲线密码体制的(t,n)门限群签名方案

(t,n) Threshold group signature scheme based on elliptic curve cryptosystem

针对网络通信中很多门限群签名协议存在不具备不可冒充性、追查签名成员方法复杂及稳定性差等问题,提出了一个基于椭圆曲线密码体制的门限群签名方案,并对其进行了安全性分析.该方案具有如下特点:通过引入成员的真实身份、化名及参与签名者的化名集合,使得方案具有不可冒充性和可追查性,且实现方式较为简洁;通过间接分配群私钥,能够方便添加和注销群成员,只需更新一些公开参数;方案基于椭圆曲线密码体制,具有密钥长度短、运算开销小的优点.

Aiming at the problems of the threshold group signature in network communication, such as pseudo character, complex traceable method, poor stability and so on, a threshold group signature scheme based on elliptic curve cryptosystem is presented, and its security analysis is proposed. The scheme has following advantages： introducing members＇ actual identities, aliases and alias aggregate of achieving the signature,the scheme can briefly realize the un-pseudo and traceable character. By indirectly distributing group secrete key, it is convenient to add and delete members, and only need to update some public parameters. Based on elliptic curve cryptosystem, the scheme＇s key length is short and operation cost is low.