A new threshold proxy signature scheme from bilinear pairings

Abstract

Based on the GDH signature (short signature scheme) a probabilistic signature scheme is proposed in this paper with security proof. Then a new threshold proxy signature from bilinear pairings is proposed as well by using the new probabilistic signature scheme and the properties of the Gap Diffie-Hellman (GDH) group (where the Computational Diffie-Hellman problem is hard but the Decisional Diffie-Hellman problem is easy to solve). Our constructions are based on the recently proposed GDH signature scheme of Bonel et al.’s article. Bilinear pairings could be built from Weil pairing or Tate pairing. So most our constructions would be simpler, but still with high security. The proposed threshold proxy signature is the first one which is built from bilinear pairings. At the end of this paper security and performance of the threshold proxy signature scheme is also analyzed.