A construction of bent functions of \(n+2\) variables from a bent function of \(n\) variables and its cyclic shifts
type: Item
instance of: scholarly article
title: A construction of bent functions of \(n+2\) variables from a bent function of \(n\) variables and its cyclic shifts
zbMATH Open document ID: 1327.94038
DOI: 10.1155/2014/701298
author: N. E. Zubov
published in: Algebra
publication date: 2015-12-11T00:00:00Z
review text: Summary: We present a method to iteratively construct new bent functions of \(n+2\) variables from a bent function of \(n\) variables and its cyclic shift permutations using minterms of \(n\) variables and minterms of 2 variables. In addition, we provide the number of bent functions of \(n+2\) variables that we can obtain by applying the method here presented, and finally we compare this method with a previous one introduced by us in [\textit{J.-J. Climent} et al., Adv. Math. Commun. 2, No. 4, 421--431 (2008; Zbl 1161.06007)] and with the Rothaus and Maiorana-McFarland constructions.
Mathematics Subject Classification ID: 94A60
Mathematics Subject Classification ID: 06E30
zbMATH DE Number: 6519798
Wikidata QID: Q59050993
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/701298
OpenAlex ID: W2032552558
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description: scientific article; zbMATH DE number 6519798