Collisions for the LPS expander graph hash function

  • Authors:
  • Jean-Pierre Tillich;Gilles Zémor

  • Affiliations:
  • INRIA, Équipe SECRET, Le Chesnay, France;Institut de Mathématiques de Bordeaux, Université Bordeaux 1, Talence, France

  • Venue:
  • EUROCRYPT'08 Proceedings of the theory and applications of cryptographic techniques 27th annual international conference on Advances in cryptology
  • Year:
  • 2008

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Abstract

We analyse the hash function family based on walks in LPS Ramanujan graphs recently introduced by Charles et al. We present an algorithm for finding collisions that runs in quasi-linear time in the length of the hashed value. A concrete instance of the hash function is considered, based on a 100-digit prime. A short collision is given, together with implementation details.