I. Background
Coding-based group signatures have become an important research topic in recent years. Since the seminal work of Alamelou et al. [1], several different optimizations have been proposed by various scholars to improve the security and implementation efficiency of the original scheme, as well as to support richer functional requirements. However, most of the existing constructs are only applicable to work in predefined static groups, i.e., the identity and number of people in the group are fixed during the initial setup phase, and dynamic updates (dynamic joining or dynamic revocation) of group members cannot be realized during the operation of the scheme [2]. There are only a few solutions that support semi-dynamic updating of group members (i.e., they can only realize one of the functions of “joining” by users or “revoking” by group members), and there is a lack of solutions that support fully dynamic updating of group members r31.