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Access security is the key obstacle of the rapid popularization of wireless mesh network (WMN). We suggest the proxy group signature scheme based on identity in this paper. This scheme is combined with proxy group signature and identity-based group signature, based on designated hierarchical proxy architecture for WMN. An anonymous mutual authentication scheme is thus achieved, which not only simplifies the complex management of PKI but also guarantees anonymous authentication and owns highdoi:10.1186/s13638-016-0685-2 fatcat:fly7yzgypbgjlnxcdkujglh6ai