Attribute-Based　Group　Signature(ABGS)　is　a　new　variant　of　group　signature,　and　it　allows　group　members　with　certain　specific　attributes　to　sign　messages　on　behalf　of　the　whole　group　anonymously;　Once　any　dispute　arises,　an　opening　authority　can　effectively　reveal　and　track　the　real　identity　information　of　the　singer.　For　the　problem　that　the　first　lattice-based　attribute-based　group　signature　scheme　with　verifier-local　revocation　has　a　long　bit-size　of　group　public-key,　and　thus　a　low　space　efficiency,　a　compact　identity-encoding　technique　which　only　needs　a　fixed　number　of　matrices　is　adopted　to　encode　the　identity　information　of　group　members,　so　that　the　bit-size　of　group　public-key　is　independent　of　the　number　of　group　members.　Moreover,　a　new　Stern-like　statistical　zero-knowledge　proofs　protocol　is　proposed,　which　can　effectively　prove　the　member＇s　signature　privilege,　and　its　revocation-token　is　bound　to　a　one-way　and　injective　learning　with　errors　function.　©　2020,　Science　Press.　All　right　reserved.