The number of directions determined by a function \(f\) on a finite field
type: Item
instance of: scholarly article
title: The number of directions determined by a function \(f\) on a finite field
zbMATH Open document ID: 0823.51013
DOI: 10.1016/0097-3165(95)90100-0
author: Andries E. Brouwer
author: Aart Blokhuis
author: Tamás Szőnyi
published in: Journal of Combinatorial Theory. Series A
publication date: 1995-10-22T00:00:00Z
review text: Rédei's theorem gives a restriction on the number of directions determined by all pairs of points of a \(\mathbf {GF} (q) \to \mathbf {GF} (q)\)-function. The authors essentially modify Rédei's proof slightly to exclude one more value, namely \((q + 1)/2\).
Mathematics Subject Classification ID: 51E21
zbMATH DE Number: 753625
zbMATH Keywords: blocking sets
zbMATH Keywords: finite field
reviewed by: Hendrik Van Maldeghem
MaRDI profile type: Publication
full work available at URL: 0097-3165(95)90100-0
OpenAlex ID: W2062718754
cites work: Blocking Sets in Desarguesian Projective Planes
cites work: Blocking sets in translation planes
cites work: Blocking sets
cites work: Q3319331
cites work: Q5669405
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description: scientific article; zbMATH DE number 753625