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Spectral Characterization and Analysis of Avalanche in Cryptographic Substitution Boxes using Walsh-Hadamard Transformations

by Fouz Sattar, Muid Mufti
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 28 - Number 6
Year of Publication: 2011
Authors: Fouz Sattar, Muid Mufti
10.5120/3395-4720

Fouz Sattar, Muid Mufti . Spectral Characterization and Analysis of Avalanche in Cryptographic Substitution Boxes using Walsh-Hadamard Transformations. International Journal of Computer Applications. 28, 6 ( August 2011), 1-5. DOI=10.5120/3395-4720

@article{ 10.5120/3395-4720,
author = { Fouz Sattar, Muid Mufti },
title = { Spectral Characterization and Analysis of Avalanche in Cryptographic Substitution Boxes using Walsh-Hadamard Transformations },
journal = { International Journal of Computer Applications },
issue_date = { August 2011 },
volume = { 28 },
number = { 6 },
month = { August },
year = { 2011 },
issn = { 0975-8887 },
pages = { 1-5 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume28/number6/3395-4720/ },
doi = { 10.5120/3395-4720 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:14:00.753318+05:30
%A Fouz Sattar
%A Muid Mufti
%T Spectral Characterization and Analysis of Avalanche in Cryptographic Substitution Boxes using Walsh-Hadamard Transformations
%J International Journal of Computer Applications
%@ 0975-8887
%V 28
%N 6
%P 1-5
%D 2011
%I Foundation of Computer Science (FCS), NY, USA
Abstract

This paper presents a novel analytical technique of examining the avalanche characteristics of cryptographic substitution boxes (s-boxes) using the Walsh Hadamard spectral analysis of their Boolean maps. Avalanche is a desirable cryptographic property that is necessary to ensure that a cipher is not susceptible to statistical attacks and small difference between two plaintexts results in a significant random difference between the two corresponding ciphertexts. An analytical model of avalanche characteristics based on spectral analysis is developed which allows us to determine the degree of avalanche achievable in an s-box. Analytical results are finally used to investigate the avalanche characteristics of the AES s-box.

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Index Terms

Computer Science
Information Sciences

Keywords

Avalanche criteria Strict Avalanche Criteria S-box Walsh-Hadamard transform Cryptography Boolean function

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