Geometric and design-theoretic aspects of semibent functions. I
type: Item
instance of: scholarly article
title: Geometric and design-theoretic aspects of semibent functions. I
zbMATH Open document ID: 1226.05053
author: Timo Neumann
author: Ulrich Dempwolff
published in: Designs, Codes and Cryptography
publication date: 2010-10-13T00:00:00Z
review text: This paper considers semibent functions \(f\) and uses them to geometrically construct certain \((2^{2n}, 2^{2n-1} - 2^{n-1}, 2^{2n-1} - 2^n)\) BIBDs. Some properties of the automorphism groups of these designs are also examined. When \(f\) has a linear structure, these designs are two copies of a symmetric \((2^{2n}, 2^{2n-1} - 2^{n-1}, 2^{2n-2} - 2^{n-1})\) BIBD.
reviewed by: R. Julian R. Abel
Mathematics Subject Classification ID: 05B05
Mathematics Subject Classification ID: 06E30
Mathematics Subject Classification ID: 51E05
Mathematics Subject Classification ID: 94B27
zbMATH DE Number: 5799403
zbMATH Keywords: semibent function
zbMATH Keywords: automorphism group
zbMATH Keywords: linear structure
MaRDI profile type: Publication
full work available at URL: s10623-010-9375-y
OpenAlex ID: W4230992627
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DOI: 10.1007/S10623-010-9375-Y
description: scientific article; zbMATH DE number 5799403