Linear Approximation Analysis: an improved technique for linear cryptanalysis of 4-bit Bijective Crypto S-Boxes

Institute of Radio Physics and Electronics, University of Calcutta, Kolkata, West Bengal, India
DOI
10.7287/peerj.preprints.3249v1
Subject Areas
Cryptography
Keywords
Cryptography, Cryptanalysis, Linear Cryptanalysis
Copyright
© 2017 Dey et al.
Licence
This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, reproduction and adaptation in any medium and for any purpose provided that it is properly attributed. For attribution, the original author(s), title, publication source (PeerJ Preprints) and either DOI or URL of the article must be cited.
Cite this article
Dey S, Ghosh R. 2017. Linear Approximation Analysis: an improved technique for linear cryptanalysis of 4-bit Bijective Crypto S-Boxes. PeerJ Preprints 5:e3249v1

Abstract

4-bit Linear Relations play an important role in Cryptanalysis of 4-bit Bijective S-Boxes. Count of existence of all 4-bit Linear Relations, for all of 16 input and output 4-bit bit patterns of 4-bit Bijective S-Boxes said as S-Boxes has been reported in Linear Cryptanalysis of 4-bit S-Boxes. In this paper a brief review of this cryptanalytic method for 4-bit S-Boxes has been introduced in a very lucid and conceptual manner. A new Analysis to search for the existing Linear Approximations among the input Boolean Functions (BFs) and output BFs of a particular 4-bit S-Box has also been introduced in this paper. The search is limited to find the existing Linear Relations or Approximations in the contrary to count the number existence among all 16 4-bit input and output bit patterns for all possible linear approximations.

Author Comment

We believe this is important and original work in Computer Cryptography