中文摘要：

在第三方不可信任的情况下,传统的ID签名系统不适用于安全的群签名。给出一个安全的基于ID的群签名方案,即使在KGC不可信的情况下也能保证其安全性,而且该方案可以安全地增加或删除群成员而不需要改变其他有效群成员密钥和群公开密钥。同时,密钥长度及签名长度与群成员的多少无关。

英文摘要：

This paper argued that traditional ID-based systems from pairing seem unsuitable for designing group signature schemes due to the problem of key escrow. It proposed a new ID-based group signature without trustful KGC from bilinear pairing. In the new ID-based system, if dishonest KGC impersonated a honest user to communicate with others, the user eould provide a proof of treachery of the KGC afterwards. Moreover, this scheme could safely delete the group member without changing secret keys of the other available group members and public keys of the group. At the same time, the size of the group public key and the length of the signature were independent on the numbers of the group members.