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Radio Frequency Identification (RFID) will become one of the most widely used devices in the near future. However, the major barrier that the RFID systems are facing presently is the issue of security. In this paper, we propose a low-cost multiple-secret-key RFID authentication protocol based on the XOR operation on large integers and multiple solution equations. The proposed protocol can achieve major security requirements in the deployment of the RFID systems with ability to prevent eavesdropping attacks, spoofing attacks, cloning attacks, and encryption algorithm explaining attacks.