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Low-cost Radio Frequency Identification(RFID) tags are large-scale used in supply chain management, but due to their finite computational ability and limited storage space, only a small amount of authentication protocols are suited for them. We analyzed the existing authentication protocols for low-cost tags, and found a secure authentication protocol that easy to implement is necessary. We propose LP0-A RFID Authentication Protocol for Low-cost tags without back-end database. LP0 is anonymous, mutual and is able to resist a variety of attacks. LP0 has a low require on the tags, so it is easy to implement on low-cost tags RFID system.