New extensions of pairing-based signatures into universal designated verifier signatures

  • Authors:
  • Damien Vergnaud

  • Affiliations:
  • Laboratoire de Mathématiques Nicolas Oresme, Université de Caen, Caen, France

  • Venue:
  • ICALP'06 Proceedings of the 33rd international conference on Automata, Languages and Programming - Volume Part II
  • Year:
  • 2006

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Abstract

The concept of universal designated verifier signatures was introduced by Steinfeld, Bull, Wang and Pieprzyk at Asiacrypt 2003. We propose two new efficient constructions for pairing-based short signatures. The first scheme is based on Boneh-Boyen signatures and, its security can be analyzed in the standard security model. We reduce its resistance to forgery to the hardness of the strong Diffie-Hellman problem, under the knowledge-of-exponent assumption. The second scheme is compatible with the Boneh-Lynn-Shacham signatures and is proven unforgeable, in the random oracle model, under the assumption that the computational bilinear Diffie-Hellman problem is untractable. Both schemes are designed for devices with constrained computation capabilities since the signing and the designation procedure are pairing-free