Normal Boolean functions
type: Item
instance of: scholarly article
title: Normal Boolean functions
zbMATH Open document ID: 1052.94015
author: Pascale Charpin
published in: Journal of Complexity
publication date: 2004-08-06T00:00:00Z
review text: Here Boolean functions are considered as functions from an \(n\)-dimensional vector space over a 2-element field to the field. A Boolean function is normal if and only if it is constant on an affine subspace of dimension \([n/2]\). This paper gives some characterizations of normality and relationships with other classes such as resilient functions, almost optimal functions, and bent functions, and an algorithm involving listing all \(k\)-dimensional subspaces.
Mathematics Subject Classification ID: 94A60
Mathematics Subject Classification ID: 06E30
zbMATH DE Number: 2083567
zbMATH Keywords: Boolean function
zbMATH Keywords: nonlinearity
zbMATH Keywords: bent function
zbMATH Keywords: almost optimal function
zbMATH Keywords: resilient function
zbMATH Keywords: normality
zbMATH Keywords: \(k\)-normality
reviewed by: Ki Hang Kim
MaRDI profile type: Publication
full work available at URL: j.jco.2003.08.010
OpenAlex ID: W2046341875
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DOI: 10.1016/J.JCO.2003.08.010
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description: scientific article; zbMATH DE number 2083567