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RFID(Radio Frequency Identification) system is a promising automatic identification technology that use communication via radio waves to identify and track moving objects. RFID systems, however, are susceptible to a variety of security problems and fundamental solutions to RFID security vulnerabilities have not yet been proposed. This paper proposes an RFID tag mutual authentication scheme that resists security threats posed by inherent characteristics of low-cost RFID systems. The proposed scheme utilize the modulo operation to improve the efficiency of tag retrieval in the back-end server and employs the hash function to provide enhanced security.