A Short Signature Scheme in the Standard Model

In this paper, by elaborately choosing the parameters of Waters Hash function, we propose a new efficient signature scheme. It is shown that the scheme is secure against strongly unforgeable chosen-message attacks in the standard model under Computational Diffie-Hellman (CDH) assumption. Further, among all the known secure signatures in the standard model, our scheme is the shortest one and has the efficient security reduction as well.