Abstarct: Our purpose in this study is investigation of some digital signatures. Digital signatures are primary of cryptography, that leading to authentification of the message sender for the recipient. Group signatures are the signatures that, allow one group member to sign a message on behalf of whole group. The group members manage by group master/manager. Ring signatures are the signatures that, members of ring, except signer, are not aware of their membership in the ring. The signer sign his message by using public key of other members, as his identity remain anonymous for the recipient, but the recipient ensures that he is one of the ring member. Available encryption systems has been threatened due to the development of quantum computers, thus international encryption communities applied all efforts to obtaining encryption systems that are resistant against quantum attacks. Lattice-baxsed encryption, is kind of resistant against quantum attacks cryptography, which in resent decays has been taken into consideration too much. Therefore in this study, we are investigation one type of lattice-baxsed group signature.