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A new type of authentication, called group authentication, has been proposed recently which can authenticate all users belonging to the same group at once in a group communication. However, the group authentication can only detect the existence of nonmembers but cannot identify who are the nonmembers. Furthermore, in a group communication, it needs not only to authenticate memberships but also to establish a group key among all members. In this paper, we propose a novel design to provide both membership authentication and group key establishment. Our proposed membership authentication can not only detect nonmembers but also identify who are the nonmembers. We first propose a basic membership authentication and key establishment protocol which can only support one-time group communication. Then, we extend the basic protocol to support multiple group communications. Our design is unique since tokens of users issued by a group manager (GM) during registration are used for both membership authentication and group key establishment

A Novel Design of Membership Authentication and Group Key Establishment Protocol