Partial spreads over \({\mathbb{Z}}_ q\)
type: Item
instance of: scholarly article
title: Partial spreads over \({\mathbb{Z}}_ q\)
zbMATH Open document ID: 0668.51004
DOI: 10.1016/0024-3795(89)90453-9
author: Dieter Jungnickel
published in: Linear Algebra and its Applications
publication date: 1989-01-01T00:00:00Z
review text: Let \(G={\mathbb{Z}}_ q^{2n}\) where \(q=p^ a\) and p is a prime. If \(U_ 1,...,U_ r\) is a partial spread, then each \(U_ i\) is isomorphic to \({\mathbb{Z}}^ n_ q\). The author represents partial spreads in G by invertible \(n\times n\) matrices over \({\mathbb{Z}}_ q\). As main result he gets that the maximal size of a spread in \({\mathbb{Z}}_ q^{2n}\) is precisely \(p^ n+1\).
Mathematics Subject Classification ID: 51A40
Mathematics Subject Classification ID: 05B25
zbMATH DE Number: 4094262
zbMATH Keywords: translation net
zbMATH Keywords: partial spread
reviewed by: Erich W. Ellers
MaRDI profile type: Publication
full work available at URL: 0024-3795(89)90453-9
OpenAlex ID: W2039345450
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description: scientific article; zbMATH DE number 4094262