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With the popularity of the mobile internet, the thin client terminals play an important role in our daily life. Because the thin client terminals have limited computation ability, the light-weight authentication scheme is a urgent problem to be solved. In this paper, we propose a novel mutual lightweight authentication protocol called HB-MAP. In the protocol the client just need store a small amount of messages and do some simple bit-wise operations, the computation-consuming operations such as the generation of random challenges are all done by the server. Finally we will also analysis the security vulnerabilities of HB-MAP protocol.