The collision security of tandem-DM in the ideal cipher model

  • Authors:
  • Jooyoung Lee;Martijn Stam;John Steinberger

  • Affiliations:
  • Faculty of Mathematics and Statistics, Sejong University, Seoul, Korea;Department of Computer Science, University of Bristol, Bristol, United Kingdom;Institute of Theoretical Computer Science, Tsinghua University, Beijing, China

  • Venue:
  • CRYPTO'11 Proceedings of the 31st annual conference on Advances in cryptology
  • Year:
  • 2011

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Abstract

We prove that Tandem-DM, which is one of the two "classical" schemes for turning a blockcipher of 2n-bit key into a double block length hash function, has birthday-type collision resistance in the ideal cipher model. A collision resistance analysis for Tandem-DM achieving a similar birthday-type bound was already proposed by Fleischmann, Gorski and Lucks at FSE 2009 [3]. As we detail, however, the latter analysis is wrong, thus leaving the collision resistance of Tandem-DM as an open problem until now. Our analysis exhibits a novel feature in that we introduce a trick not used before in ideal cipher proofs.