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In this paper, we analyze that authentication and key agreement (AKA) protocol is vulnerable to false base station attacks. We propose a new security scheme which can better securely realize mutual authentication between mobile station (MS) and network by both sides of communication. This scheme, called improved adoptable AKA (IA-AKA), used random number and signature mechanism to achieve the authentication between MS and network. To analyze the proposed protocol, the BAN logic is used to formalize and prove the security of the improved scheme.