一种安全的(T,N)门限群签名方案

门限群签名是一种特殊的数字签名方案，它使一个群体的若干成员可以代表群体签名，从而降低了安全风险，但现有的门限群签名方案存在的安全隐患则制约了它在实际中的应用，对门限群签名方案常见的攻击有若干成员合谋获取系统的秘密参数和攻击者根据已有的有效群签名伪造群签名，基于多重签名机制以及让不同的签名组合使用不同的插值多项式的思想，设计了一种安全的（T，N）门限群签名方案，通过分析表明，新方案能避免上述的两种攻击。

A Secure (T,N) Threshold Signature Scheme

Group Oriented ( T,N ) threshold signature is a kind of special digital signature scheme, some members of the group can sign document on behalf of the group, however, the security weakness in the existing group oriented threshold signature schemes slows down the application of the threshold signature. In these schemes, either some members conspire to get the secret parameters of the system or attackers forge the signature according to the acquired valid signature. Based on the idea of multiple signature and different signing combination using different polynomial ,this paper presented a modified scheme. Through security analysis ,the new scheme can avoid the two attack ways mentioned above.