中文摘要：

进一步分析讨论Shacham和Waters提出的环签名方案的潜在性质，提出相应的门限环签名方案。与wei和Yuen的方案相比，在无随机谕示模型下，该门限环签名方案的安全性证明基于标准假设——计算Diffie Hellman假设与子群判定假设。此外，在某些情况下，该方案可以转化为常数大小自主可链接的门限环签名，从而提高签名效率。

英文摘要：

A further discussion on the potential properties of Shacham and Waters ring signatures is made and the corresponding threshold ring signature schemes are presented.Compared with the schemes without random oracle proposed by Wei and Yuen,the threshold ring signature is provable secure under standard assumptions（CDH and SGH ）.Besides, in order to improve the efficiency of the signature in some cases,the schemes can be converted to a constant-size serf linkable threshold ring signature.