Harmonic analysis and a bentness-like notion in certain finite abelian groups over some finite fields

It is well-known that degree two finite field extensions can be equipped with a Hermitian-like structure similar to the extension of the complex field over the reals. In this contribution, using this structure, we develop a modular character theory and the appropriate Fourier transform for some part...

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Main Author:	Azhanie Sardangi
Other Authors:	Poinsot, Laurent
Format:	Journal
Published:	Malaysian Journal of Mathematical Sciences, Universiti Putra Malaysia 2015
Subjects:	Mathematics & statistics
Online Access:	http://www.myjurnal.my/public/article-view.php?id=95577

id	oai:www.myjurnal.my:95577
recordtype	eprints
spelling	oai:www.myjurnal.my:955772018-09-20T00:00:00Z Harmonic analysis and a bentness-like notion in certain finite abelian groups over some finite fields Azhanie Sardangi Mathematics & statistics It is well-known that degree two finite field extensions can be equipped with a Hermitian-like structure similar to the extension of the complex field over the reals. In this contribution, using this structure, we develop a modular character theory and the appropriate Fourier transform for some particular kind of finite Abelian groups. Moreover we introduce the notion of bent functions for finite field valued functions rather than usual complex-valued functions, and we study several of their properties. Malaysian Journal of Mathematical Sciences, Universiti Putra Malaysia Poinsot, Laurent 2015-00-00 Journal application/pdf 95577 www.myjurnal.my/filebank/published_article/454871.pdf www.myjurnal.my/public/article-view.php?id=95577
repository_type	Digital Repository
institution_category	Local Institution
institution	MyJournal
building	MyJournal Repository
collection	Online Access
topic	Mathematics & statistics
spellingShingle	Mathematics & statistics Azhanie Sardangi Harmonic analysis and a bentness-like notion in certain finite abelian groups over some finite fields
description	It is well-known that degree two finite field extensions can be equipped with a Hermitian-like structure similar to the extension of the complex field over the reals. In this contribution, using this structure, we develop a modular character theory and the appropriate Fourier transform for some particular kind of finite Abelian groups. Moreover we introduce the notion of bent functions for finite field valued functions rather than usual complex-valued functions, and we study several of their properties.
author2	Poinsot, Laurent
author_facet	Poinsot, Laurent Azhanie Sardangi
format	Journal
author	Azhanie Sardangi
author_sort	Azhanie Sardangi
title	Harmonic analysis and a bentness-like notion in certain finite abelian groups over some finite fields
title_short	Harmonic analysis and a bentness-like notion in certain finite abelian groups over some finite fields
title_full	Harmonic analysis and a bentness-like notion in certain finite abelian groups over some finite fields
title_fullStr	Harmonic analysis and a bentness-like notion in certain finite abelian groups over some finite fields
title_full_unstemmed	Harmonic analysis and a bentness-like notion in certain finite abelian groups over some finite fields
title_sort	harmonic analysis and a bentness-like notion in certain finite abelian groups over some finite fields
publisher	Malaysian Journal of Mathematical Sciences, Universiti Putra Malaysia
publishDate	2015
url	http://www.myjurnal.my/public/article-view.php?id=95577
first_indexed	2018-09-20T13:39:23Z
last_indexed	2018-09-20T13:39:23Z
_version_	1612241439328043008

Harmonic analysis and a bentness-like notion in certain finite abelian groups over some finite fields

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