Forward-Secure Group Signature Based on Conic Curve Over Ring Zn

摘要

In this paper we present a forward-secure group signature scheme based on conic curve over ring Zn. Our s cheme with forward security has effectively mitigated the damage caused by key exposure, and we use the dynamic accumulators on the conic curve to remove members. The security of the scheme is based on the difficulty of integer factorization and calculating the discrete logarithm on conic curve over the ring Zn. The scheme on conk curve has some advantages as follow: Plaintext embedding is convenient, and the speed of computing inverse element is fast, and element order calculation and the point operation on curve are more easily, etc. Therefore it is easier to accomplish.