Convergence in differential distributions

  • Authors:
  • Luke O'Connor

  • Affiliations:
  • Distributed Systems Technology Centre, Australia and Information Security Research Centre, QUT, Australia

  • Venue:
  • EUROCRYPT'95 Proceedings of the 14th annual international conference on Theory and application of cryptographic techniques
  • Year:
  • 1995

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Abstract

Differential cryptanalysis is a general attack based on the notion of differences. The success of the attack is derived from the probability of a differential. While it has been observed that the distribution of differentials can be modeled as a Markov chain, there have been few analyses that take advantage of this observation because of the prohibitive computations involved. In this paper we apply the Markov approach to the differentially 2-uniform mappings, and show that, they converge exponentially fast with high probability.