Generalized bent functions and their properties
type: Item
instance of: scholarly article
title: Generalized bent functions and their properties
zbMATH Open document ID: 0585.94016
DOI: 10.1016/0097-3165(85)90049-4
published in: Journal of Combinatorial Theory. Series A
publication date: 1985-01-01T00:00:00Z
review text: After defining ''generalized bent functions'', the authors study the nature of the Fourier coefficients of a bent function, and a proof for the non- existence of bent functions over \(J^ m_ q\), m odd, is given for many values of q of the form \(q=2(mod 4)\). For every value of q and m (other than m odd and \(q=2(mod 4))\), constructions for bent functions over \(J^ m_ q\) are provided. Some properties of generalized bent functions are also examined, and it is shown that the generalized versions share many properties, such as the connection with Hadamard matrices, in common with their binary counterparts.
Mathematics Subject Classification ID: 94B99
Mathematics Subject Classification ID: 94A99
Mathematics Subject Classification ID: 05B20
Mathematics Subject Classification ID: 11T06
zbMATH DE Number: 3939255
zbMATH Keywords: Hadamard difference sets
zbMATH Keywords: Fourier coefficients
zbMATH Keywords: Hadamard matrices
author: P. Vijay Kumar
author: Robert A. Scholtz
author: Lloyd R. Welch
reviewed by: Bai Kishan Dass
MaRDI profile type: Publication
full work available at URL: 0097-3165(85)90049-4
OpenAlex ID: W2032685643
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cites work: Generalized Hadamard Matrices
description: scientific article; zbMATH DE number 3939255