Abstract: The existing group signature schemes are unpractical to a certain extent in performance and security. A dynamic short group signature scheme with provable security in a standard model is thus proposed on the basis of the BSZ model. The subgroup decision assumptions (SDA)， lSDH assumptions and GrothSahai proof system are used to construct the scheme with security proved in the standard model. It is shown that the asproposed scheme meets anonymity， traceability and nonframeability. It is compared with other group signature schemes in performance and security， and the results show that our scheme outperforms those in these two aspects.

Key words: group signatures, standard model, anonymity, traceability, nonframeability