In order to solve the problem that the existing group authentication schemes cannot identify the specific illegal participant,this paper proposes a centralized(t,m,n)-AS group authentication scheme based on Shamir secret sharing mechanism. First of all,i t verifies whether all m participants are legal within O(1) time through the overall authentication. Then the scheme identifies all possible adversaries within O(m) time through single authentication in case of illegal participants. Analysis results show th...