Abstract: The security of a scheme called “a group of threshold group-signature schemes with privilege subsets” is analyzed and the error in designing is found. An amending scheme is proposed, in which the error is corrected and the ability to trace signers is enhanced by adding a identity identification function. The security of the new scheme is analyzed which proves the scheme is secure.

Key words: threshold group-signature, secret sharing scheme, identity identification function

摘要： 对一类存在特权集的门限群签名方案进行安全性分析，指出了其中的设计错误；提出了修改方案；增加了身份识别函数；增强了追踪签名人的能力；并对新方案进行了安全性分析。

关键词: 门限群签名, 秘密共享方案, 身份识别函数