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Radio frequency identification (RFID) systems become more popular in recent years due to its low cost and high efficiency in identification. Authentication between tags and server is a key technology to protect the security of RFID systems. Most previous authentication approaches adopt hash functions or public cryptography, they need multiple rounds of communications between tags and sever. In this paper, we use threshold secret sharing scheme to propose a novel group authentication method in RFID. In our scheme, a group of tags can be authenticated by the sever with only need one-round communication, and the sever can identify the unqualified tags using the approach of cheater identification in secret sharing. The proposed authentication has efficient computation which is fit for RFID. More importantly, it can greatly reduce the cost of communication and also the risk of been attacked through the communication channel. [ABSTRACT FROM AUTHOR]