中文摘要：

为了解决采用秘密共享方案构建门限特性的传统门限签名方案不能抵抗内部成员的合谋攻击这一问题,提出了一种不采用秘密共享机制的门限签名方案.该方案基于有限域上的多项式分解定理构建门限特性,可以保障共享密钥的安全.对该方案的正确性和安全性进行分析,结果表明,该方案不仅能抵抗合谋攻击,而且还具有签名成员的可追查性和防伪造攻击的能力.

英文摘要：

To get the ability of anti-collusion attacks,a threshold signature scheme based on the factorial decompose theorem of polynomial is proposed without the secret sharing scheme.The correctness of the scheme is proved.According to the security analysis,not only can the scheme resist the collusion attack but also it has other good features including resisting forgery attacks and traceability.