Extended SAC: A review and new algorithms of differential cryptanalysis of 4-bit s-boxes and strict avalanche criterion of BFs and 4-bit s-boxes again with a new extension to HO-SAC criterion

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  University of Calcutta, Institute of Radio Physics and Electronics, Kolkata, West Bengal, India
DOI
10.7287/peerj.preprints.3202v1
Published
Accepted
Subject Areas
Cryptography
Keywords
Boolean Function: MSC 06E30, Application of Boolean Algebra: MSC94C10 ., Cryptography: MSC 94A60
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. Extended SAC: A review and new algorithms of differential cryptanalysis of 4-bit s-boxes and strict avalanche criterion of BFs and 4-bit s-boxes again with a new extension to HO-SAC criterion. PeerJ Preprints 5:e3202v1

Abstract

Bitwise-Xor of two 4 bit binary numbers or 4-bit bit patterns entitled 4-bit differences carries information in Cryptography. The Method to Analyze Cryptographic cipher algorithms or 4-bit substitution boxes with 4-bit differences is known as Differential Cryptanalysis. In this paper a brief review of Differential Cryptanalysis of 4-bit bijective Crypto S-Boxes and a new algorithm to analyze them using 4-bit Boolean Functions (BFs) have been introduced. A brief review of Strict Avalanche Criterion (SAC) of 4-bit bijective Crypto S-Boxes and 4-bit BFs and two new algorithms of both the aforesaid criterions have been introduced in this paper. A New algorithm entitled extended Strict Avalanche Criterion (An Extension to Higher Order SAC or HO-SAC) has also been introduced. A new Analysis of Similarity of extended HO-SAC and Differential Cryptanalysis has also been elaborated in this paper.

Author Comment

This is a preprint submission to PeerJ Preprints.