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Due to the well-developed technology and its variety of applications, the radio frequency identifications (RFIDs) become more and more popular. In many applications such as authentication, the RFID systems need security mechanism to resist all possible attacks and threats. However, most of the security mechanisms always too complex on computation or need large memory space such that they are not suit for low-cost RFIDs. In this paper, we propose a new ultralightweight RFID authentication protocol with mutual authentication. The protocol requires only simple bit-wise operations and can resist various attacks.