Hyper-elliptic curves based group signature
Xuanwu Zhou, Xiaoyuan Yang, Ping Wei · 2009
Analyses were made on the basic principles of group signature and HCC (hyper-elliptic curves cryptosystem); as to the security problems and system weakness of present group signature schemes, we presented an improved group signature scheme based on HCC. By blinding identity of group members and generating identity certificate for each member, the scheme reduces the complexity in group managing and signature generating, avoids the connection between public key and signature length with group scale. The scheme makes full use of the superiority of HCC, such as high efficiency, short key length and etc, and the scheme greatly improves the efficiency of hardware and software application. As for scheme analyzing, we present two signature forgery algorithms against this scheme by group manager and group members, and prove that the difficulty in signature forging is equivalent to HCDLP (hyper-elliptic curves discrete logarithm problem).