Advances in Cryptology – CRYPTO 2012 pp 50-67

On the Distribution of Linear Biases: Three Instructive Examples

  • Mohamed Ahmed Abdelraheem
  • Martin Ågren
  • Peter Beelen
  • Gregor Leander
Conference paper

DOI: 10.1007/978-3-642-32009-5_4

Volume 7417 of the book series Lecture Notes in Computer Science (LNCS)

Abstract

Despite the fact that we evidently have very good block ciphers at hand today, some fundamental questions on their security are still unsolved. One such fundamental problem is to precisely assess the security of a given block cipher with respect to linear cryptanalysis. In by far most of the cases we have to make (clearly wrong) assumptions, e.g., assume independent round-keys. Besides being unsatisfactory from a scientific perspective, the lack of fundamental understanding might have an impact on the performance of the ciphers we use. As we do not understand the security sufficiently enough, we often tend to embed a security margin – from an efficiency perspective nothing else than wasted performance. The aim of this paper is to stimulate research on these foundations of block ciphers. We do this by presenting three examples of ciphers that behave differently to what is normally assumed. Thus, on the one hand these examples serve as counter examples to common beliefs and on the other hand serve as a guideline for future work.

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Copyright information

© International Association for Cryptologic Research 2012 2012

Authors and Affiliations

  • Mohamed Ahmed Abdelraheem
    • 1
  • Martin Ågren
    • 2
  • Peter Beelen
    • 1
  • Gregor Leander
    • 1
  1. 1.Technical University of DenmarkKgs. LyngbyDenmark
  2. 2.Dept. of Electrical and Information TechnologyLund UniversityLundSweden