A verifiable random function with short proofs and keys

  • Authors:
  • Yevgeniy Dodis;Aleksandr Yampolskiy

  • Affiliations:
  • Department of Computer Science, New York University, New York, NY;Department of Computer Science, Yale University, New Haven, CT

  • Venue:
  • PKC'05 Proceedings of the 8th international conference on Theory and Practice in Public Key Cryptography
  • Year:
  • 2005

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Abstract

We give a simple and efficient construction of a verifiable random function (VRF) on bilinear groups. Our construction is direct. In contrast to prior VRF constructions [14,15], it avoids using an inefficient Goldreich-Levin transformation, thereby saving several factors in security. Our proofs of security are based on a decisional bilinear Diffie-Hellman inversion assumption, which seems reasonable given current state of knowledge. For small message spaces, our VRF's proofs and keys have constant size. By utilizing a collision-resistant hash function, our VRF can also be used with arbitrary message spaces. We show that our scheme can be instantiated with an elliptic group of very reasonable size. Furthermore, it can be made distributed and proactive.