Grouping proof is a technique that proves the co-existence of multiple RFID tags simultaneously in the RFID system. Grouping proof can be used in various applications, such as supply chain management, pharmaceutical distribution. A lot of RFID grouping-proof protocols have been presented by many researchers. However, the previous protocols suffer from the replay attack, and ignore an important issue that the protocol will be stop when one of the tags in the group broke down. We proposed a new protocol which is different from any previous work, because it will be continue to carry out by using time stamp when the tag broke down. Compared with previous protocols, the new protocol has high stability and can count the number of legal tags. Besides, it has good security and blocks replay attack, based on technical analysis.

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