Differential propagation analysis of keccak

  • Authors:
  • Joan Daemen;Gilles Van Assche

  • Affiliations:
  • STMicroelectronics, Belgium;STMicroelectronics, Belgium

  • Venue:
  • FSE'12 Proceedings of the 19th international conference on Fast Software Encryption
  • Year:
  • 2012

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Abstract

In this paper we introduce new concepts that help read and understand low-weight differential trails in Keccak. We then propose efficient techniques to exhaustively generate all 3-round trails in its largest permutation below a given weight. This allows us to prove that any 6-round differential trail in Keccak-f[1600] has weight at least 74. In the worst-case diffusion scenario where the mixing layer acts as the identity, we refine the lower bound to 82 by systematically constructing trails using a specific representation of states.