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基于GDH签名(短签名方案),首先提出了一类新型概率签名方案,并证明了它的安全性.而后用所提出的概率签名方案构造了基于双线性对的新型门限代理签名方案.还应用了Gap Diffe-Hellman(GDH)群的基本性质(在GDH群中计算Diffe-Hellman问题困难,但决策Diffe-Hellman问题容易).文中的构造思想主要基于Bonel等最近提出的GDH签名方案.其中的双线性对一般可以用weil配对或Tate配对来实现.提出的方案具有实现简单但安全性高的特点.迄今为止,这个方案也是第一类用双线性对来构造的门限代理签名方案.最后给出了新型门限代理签名方案的安全性分析和它的执行效率.
Based on the GDH signature (short signature scheme), a new type of probability signature scheme is proposed and its security is proved. Then, a new threshold proxy signature scheme based on bilinear pairing is constructed by using the proposed probability signature scheme. The basic properties of the Gap Diffe-Hellman (GDH) population are applied (Diffie-Hellman problem is difficult to calculate in the GDH group, but decision-making Diffe-Hellman problem is easy.) The construction idea in this paper is mainly based on the recently proposed GDH signature scheme by Bonel et al. Bilinear pairing can generally be implemented by weil pairing or Tate pairing.The proposed scheme has the characteristics of simple but high security.So far, this scheme is also the first class of threshold proxy signature scheme constructed by bilinear pairing Finally, the security analysis of the new threshold proxy signature scheme and its implementation efficiency are given.