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Lightweight authentication protocols in the RFID system are necessary because the information security is important when messages are transmitted between the tag and reader. It has become one of the hottest issues in RFID system. Many researchers proposed some lightweight authentication protocols which only use lightweight operations, such as hash function, XOR operation and so on because the tags in RFID system are lack of computational resources, memory, power and communication ability. In this paper, we analyze the security of two different protocols based on the hash function and find their drawbacks. Afterwards, we propose a revised OHLCAP and analyze its property. The result indicates that this protocol dose not increase computational amount and tag's cost obviously. Meanwhile, it provides mutual authentication and untraceability and protects from desynchronization attack, impersonation attack and replay attack.