On two-intersection sets with respect to hyperplanes in projective spaces
type: Item
instance of: scholarly article
title: On two-intersection sets with respect to hyperplanes in projective spaces
zbMATH Open document ID: 1010.51005
author: Michel Lavrauw
author: Aart Blokhuis
published in: Journal of Combinatorial Theory. Series A
publication date: 2002-09-12T00:00:00Z
review text: \textit{A. Blokhuis} and \textit{M. Lavrauw} [Geom. Dedicata 81, 231-243 (2000; Zbl 0990.51004)] constructed a class of two-intersection sets with respect to hyperplanes in a finite projective space (using a scattered subspace with respect to a normal spread). In the paper under review, the authors show that these two-intersection sets are not isomorphic to a disjoint union of Baer subgeometries, and not isomorphic to a union of elements of a spread.
reviewed by: Theo Grundhöfer
Mathematics Subject Classification ID: 51E20
Mathematics Subject Classification ID: 51E23
zbMATH DE Number: 1800284
zbMATH Keywords: finite projective space
zbMATH Keywords: spread
zbMATH Keywords: two-intersection sets
MaRDI profile type: Publication
full work available at URL: jcta.2002.3289
OpenAlex ID: W2156184439
cites work: Linear \((q+1)\)-fold blocking sets in \(\text{PG} (2,q^4)\)
cites work: Scattered spaces with respect to a spread in \(\text{PG}(n,q)\)
cites work: The Geometry of Two-Weight Codes
cites work: Normal spreads
cites work: On small blocking sets
DOI: 10.1006/JCTA.2002.3289
description: scientific article; zbMATH DE number 1800284