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Security of wireless mesh networks (WMNs) is critical for their deployment and management. To provide the fundamental user authentication, access control and transmission confidentiality services, authentication and key agreement (AKA) is the crucial issue. In this paper, ECC- based self-certified public key cryptosystem (ECCSCPKC) is introduced for constructing WMNs security infrastructure; and its related security schemes, with a few modifications, are used for designing the AKA protocol. The proposed scheme supports an efficient authentication and key agreement between a mesh client and a mesh router, with less cost of communication and computation resources as well as system maintenance.