Orthogonal line packings of \(PG_{2m-1}(2)\)
type: Item
instance of: scholarly article
title: Orthogonal line packings of \(PG_{2m-1}(2)\)
zbMATH Open document ID: 0531.05020
DOI: 10.1016/0097-3165(84)90011-6
author: R. D. Baker
published in: Journal of Combinatorial Theory. Series A
publication date: 1984-01-01T00:00:00Z
review text: Consider a finite projective plane P. A spread is a collection of mutually disjoint lines whose union is P, and a packing is a partition of the lines of P into spreads. Two packings are called orthogonal if any two of their spreads have at most one line in common. In this paper it is shown that for \(m\not\equiv 2(mod 3)\), \(m\geq 3\), there exists a pair of orthogonal packings of the projective plane \(PG_{2m-1}(2)\) of odd degree over GF(2).
Mathematics Subject Classification ID: 05B25
Mathematics Subject Classification ID: 05B40
Mathematics Subject Classification ID: 05B05
zbMATH DE Number: 3841883
zbMATH Keywords: projective plane
zbMATH Keywords: spread
zbMATH Keywords: orthogonal packings
MaRDI profile type: Publication
full work available at URL: 0097-3165(84)90011-6
OpenAlex ID: W1991761771
cites work: Partitioning the planes of \(AG_{2m}(2)\) into 2-designs
cites work: Q4146667
cites work: Q4048927
description: scientific article; zbMATH DE number 3841883