On probability of success in linear and differential cryptanalysis

  • Authors:
  • Ali Aydm Selçuk;Ali Biçak

  • Affiliations:
  • Department of Computer Sciences, Purdue Univeristy, West Lafayette, IN;Maryland Center for Telecommunications Research, Department of Computer Science and Electrical Engineering, University of Maryland Baltimore County, Baltimore, MD

  • Venue:
  • SCN'02 Proceedings of the 3rd international conference on Security in communication networks
  • Year:
  • 2002

Quantified Score

Hi-index 0.00

Visualization

Abstract

Despite their widespread usage in block cipher analysis, the success probability estimation of differential and linear cryptanalytic attacks has traditionally been carried out in a rather ad hoc fashion. In this paper, we present an analytical calculation of the success probability of these attacks. Besides providing a sound formulation of the success probabilities, the analysis reveals some previously unnoticed factors affecting the success of an attack, such as the attacked key length in differential cryptanalysis. The results apply to an extended sense of the term "success" where the correct key is found not necessarily as the highest-ranking candidate but within a set of highest-ranking candidates.