Abstract: (t,n) threshold group signature scheme enables t out of n signers to sign messages on behalf of the group.Multipartite access structure can be realized by multipartite secret sharing schemes. Based on multipartite secret sharing, this paper presented a threshold group signature scheme with privilege subsets, where each participant shares a single piece of the secret.A valid signature can only be generated under the cooperation of an authorized set. Every unauthorized set can learn nothing ahout the secret from their shares. Morever, it has the properties of anonymity and traceability. scheme access structure, Ideal secret sharing

Key words: Threshold group signature, Multipartite secret sharing, Multipartite