Programmable Hash Functions and Their Applications

  • Dennis Hofheinz
  • Eike Kiltz
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5157)

Abstract

We introduce a new information-theoretic primitive called programmable hash functions (PHFs). PHFs can be used to program the output of a hash function such that it contains solved or unsolved discrete logarithm instances with a certain probability. This is a technique originally used for security proofs in the random oracle model. We give a variety of standard model realizations of PHFs (with different parameters).

The programmability of PHFs make them a suitable tool to obtain black-box proofs of cryptographic protocols when considering adaptive attacks. We propose generic digital signature schemes from the strong RSA problem and from some hardness assumption on bilinear maps that can be instantiated with any PHF. Our schemes offer various improvements over known constructions. In particular, for a reasonable choice of parameters, we obtain short standard model digital signatures over bilinear maps.

Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • Dennis Hofheinz
    • 1
  • Eike Kiltz
    • 1
  1. 1.Cryptology and Information Security Research Theme, CWIAmsterdamThe Netherlands

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