Haar spectrum of Bent Boolean functions

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 func...

Full description

Bibliographic Details
Main Authors:	Siddiqi, Mohammad Umar, Rafiq, Hashum M.
Format:	Article
Language:	English English
Published:	Institute for Mathematical Research, Universiti Putra Malaysia 2016
Subjects:	TK5101 Telecommunication. Including telegraphy, radio, radar, television
Online Access:	http://irep.iium.edu.my/55588/ http://irep.iium.edu.my/55588/ http://irep.iium.edu.my/55588/1/~~%20Hashum%20~%20mjms%20~%20Feb%202016%20~%20pp.%20409-416.pdf http://irep.iium.edu.my/55588/2/55588_Haar%20Spectrum%20of%20Bent%20Boolean%20Functions_SCOPUS.pdf

id	iium-55588
recordtype	eprints
spelling	iium-555882017-03-06T08:40:00Z http://irep.iium.edu.my/55588/ Haar spectrum of Bent Boolean functions Siddiqi, Mohammad Umar Rafiq, Hashum M. TK5101 Telecommunication. Including telegraphy, radio, radar, television 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. Institute for Mathematical Research, Universiti Putra Malaysia 2016-02 Article PeerReviewed application/pdf en http://irep.iium.edu.my/55588/1/~~%20Hashum%20~%20mjms%20~%20Feb%202016%20~%20pp.%20409-416.pdf application/pdf en http://irep.iium.edu.my/55588/2/55588_Haar%20Spectrum%20of%20Bent%20Boolean%20Functions_SCOPUS.pdf 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 http://einspem.upm.edu.my/journal/fullpaper/vol10sfeb2/No34.pdf
repository_type	Digital Repository
institution_category	Local University
institution	International Islamic University Malaysia
building	IIUM Repository
collection	Online Access
language	English English
topic	TK5101 Telecommunication. Including telegraphy, radio, radar, television
spellingShingle	TK5101 Telecommunication. Including telegraphy, radio, radar, television Siddiqi, Mohammad Umar Rafiq, Hashum M. Haar spectrum of Bent Boolean functions
description	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.
format	Article
author	Siddiqi, Mohammad Umar Rafiq, Hashum M.
author_facet	Siddiqi, Mohammad Umar Rafiq, Hashum M.
author_sort	Siddiqi, Mohammad Umar
title	Haar spectrum of Bent Boolean functions
title_short	Haar spectrum of Bent Boolean functions
title_full	Haar spectrum of Bent Boolean functions
title_fullStr	Haar spectrum of Bent Boolean functions
title_full_unstemmed	Haar spectrum of Bent Boolean functions
title_sort	haar spectrum of bent boolean functions
publisher	Institute for Mathematical Research, Universiti Putra Malaysia
publishDate	2016
url	http://irep.iium.edu.my/55588/ http://irep.iium.edu.my/55588/ http://irep.iium.edu.my/55588/1/~~%20Hashum%20~%20mjms%20~%20Feb%202016%20~%20pp.%20409-416.pdf http://irep.iium.edu.my/55588/2/55588_Haar%20Spectrum%20of%20Bent%20Boolean%20Functions_SCOPUS.pdf
first_indexed	2023-09-18T21:18:33Z
last_indexed	2023-09-18T21:18:33Z
_version_	1777411726684192768

Haar spectrum of Bent Boolean functions

Similar Items