Group signatures allow every memberof a group to sign some given messages on behalf of thegroup anonymously. Only a designated group man-ager can open a signature to reveal the identity of thesigner. To the best of our knowledge, all known groupsignature solutions have some undesirable properties.In this paper, we propose a new group signaturescheme combining linear codes and known digital sig-nature methods. This scheme possesses all group sig-nature properties including coalition-resistance, andcan be implemented easily. The security of this signa-ture scheme is determined by the difficulty of discretelogarithm problem over finite fields.