Optimal covering codes for finding near-collisions

  • Authors:
  • Mario Lamberger;Vincent Rijmen

  • Affiliations:
  • Institute for Applied Information Processing and Communications, Graz University of Technology, Graz, Austria;Institute for Applied Information Processing and Communications, Graz University of Technology, Graz, Austria and Dept. of Electrical Engineering, ESAT, COSIC, K.U. Leuven and Interdisciplinary, I ...

  • Venue:
  • SAC'10 Proceedings of the 17th international conference on Selected areas in cryptography
  • Year:
  • 2010

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Abstract

Recently, a new generic method to find near-collisions for cryptographic hash functions in a memoryless way has been proposed. This method is based on classical cycle-finding techniques and covering codes. This paper contributes to the coding theory aspect of this method by giving the optimal solution to a problem which arises when constructing a suitable code as the direct sum of Hamming and trivial codes.