Abstract: To investigate forward security and backward security,a one-way Hash chain-based group signature scheme is presented,in which the subsecrets of each interval are shared by using threshold method,and the validity of shares can be verified by using Hash chains and public information.The group signature can be generated successfully even if minority players present fault shares to the signer by utilizing the threshold method.In this way,the performance and security are improved.Analysis shows that the proposed scheme is not only more efficient but also more secure than previous group signature schemes.