Haar spectrum of Bent Boolean functions

Siddiqi, Mohammad Umar and Rafiq, Hashum M. (2016) Haar spectrum of Bent Boolean functions. Malaysian Journal of Mathematical Sciences, 10(S). pp. 409-421. E-ISSN 1823-8343

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Abstract

Bent Boolean functions play a very significant role in the design of strong symmetric cryptosystems. In this paper, we present an analysis of Bent functions in the Haar domain. We first present a brief overview of Bent Boolean functions and then derive expressions for the Haar spectrum of Bent functions. The Haar spectral coefficients of Bent functions are given in two ways namely; in terms of sub-intervals over the entire spectrum,as well as, individual spectral coefficients. Finally, we conclude the paper with a summary of findings and suggestions for further work for utilizing the results for design of secure cryptosystems.

Item Type:	Article (Journal)
Additional Information:	5072/55588
Uncontrolled Keywords:	Cryptographic Boolean functions, Bent functions, Haar– transform, Walsh transform, Rademacher functions, Walsh orderings, Spectral Coefficients.
Subjects:	T Technology > TK Electrical engineering. Electronics Nuclear engineering > TK5101 Telecommunication. Including telegraphy, radio, radar, television
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Engineering > Department of Electrical and Computer Engineering
Depositing User:	Prof. Dr. Mohammad Umar Siddiqi
Date Deposited:	06 Mar 2017 16:40
Last Modified:	06 Mar 2017 16:40
URI:	http://irep.iium.edu.my/id/eprint/55588

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