摘要： 针对矢量空间秘密共享方案和离散对数问题的难解性问题，提出一个一般访问结构上的无可信中心的群签名方案。该方案无需可信的密钥分发中心KDC的参与，将群签名的应用范围推广到一般访问结构上。不仅可以克服现有门限签名方案在实际应用中的局限性，而且避免KDC对参与者的欺骗。在方案的执行过程中，部分签名和群签名都可以得到有效验证。分析结果表明，该方案是安全、有效的。

关键词: 数字签名, 可信中心, 群签名, 访问结构

Abstract: Based on a vector space secret sharing scheme and the difficulty in solving the discrete logarithm problem, a group signature scheme without a trusted centre is proposed, which is constructed on general access structure. The scheme doesn't need the trusted KDC’s participation, and expands group signature’s application scope to the general access structure. It not only overcomes the applied limitation of the existing threshold signature schemes, but also avoids the KDC providing fake information to participants. In the implementation phase, individual signature and group signature can be verified efficiently. Analysis result shows that this scheme is secure and efficient.

Key words: digital signature, trusted centre, group signature, access structure

中图分类号: 

• TP393