W-complement d-spreads, singleton systems
type: Item
instance of: scholarly article
title: W-complement d-spreads, singleton systems
zbMATH Open document ID: 0646.51007
DOI: 10.1016/S0195-6698(87)80050-1
published in: European Journal of Combinatorics
publication date: 1987-01-01T00:00:00Z
review text: W\(\subseteq V\) are vector spaces over GF(q) of dimensions n and \(n+d\) respectively. A collection \(\Lambda\) of d-dimensional subspaces of V is defined to be a W-complement d-spread of V if for each \(A\in \Lambda\), \(A\cap W=\{0\}\) and \(0\neq v\in V\) such that \(<v>\cap W=\{0\}\) then \(<v>\) is contained in one and only one d-dimensional subspace lying in \(\Lambda\). The author establishes a one-to-one correspondence between the set of all W-complement d-spreads of V and the set of all (d,n,\(\ell,q)\)- singleton systems of order q n.
Mathematics Subject Classification ID: 51A40
zbMATH DE Number: 4054442
zbMATH Keywords: W-complement d-spreads
zbMATH Keywords: singleton systems
author: Nachimuthu Manickam
reviewed by: T. Thrivikraman
MaRDI profile type: Publication
cites work: Q3218140
cites work: Bilinear forms over a finite field, with applications to coding theory
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cites work: Q4189284
cites work: Incidence structures whose planes are nets
description: scientific article; zbMATH DE number 4054442