Highly efficient strong designated verifier signature schemes in the standard model

In the last of years, many strong designated verifier signature schemes have been proposed. However, most of existing designated verifier proxy signature schemes are only secure in the random oracle which has suffered a lot of criticism. Therefore, secure and strong designated verifier signature in the standard model has attracted much interesting. In this paper, based on bilinear map, we propose two new strong designated verifier signature schemes. We present detailed secure proof for the proposed schemes in the standard model based on computational Diffie-Hellman assumption and bilinear Diffie-Hellman assumption respectively. Compared with other strong designated verifier signature schemes, our two schemes have two advantages: lower computation cost and less signature length.