Designs with block-size 6 in projective planes of characteristic 2
type: Item
instance of: scholarly article
title: Designs with block-size 6 in projective planes of characteristic 2
zbMATH Open document ID: 0760.51007
DOI: 10.1007/BF02349958
author: Jürgen Bierbrauer
published in: Graphs and Combinatorics
publication date: 1993-01-16T00:00:00Z
review text: The paper under review lists the action of the projective group and the number of orbits on every possible set of six points in \(PG(2,q)\), \(q\) even. A similar result on 4-, 5- and 6-sets of the projective line is presented. From this, one constructs a number of 3 and 4 designs with block size 6 admitting \(PGL_ 3(q)\) as an automorphism group (transitive on the points, never transitive on the blocks). These constructions generalize dramatically the construction of 4-designs due to \textit{W. O. Alltop} [J. Comb. Theory 6, 320-322 (1969; Zbl 0169.019)].
Mathematics Subject Classification ID: 51E05
zbMATH DE Number: 93437
zbMATH Keywords: designs
zbMATH Keywords: six points in \(PG(2,q)\)
zbMATH Keywords: block size 6
reviewed by: Hendrik Van Maldeghem
MaRDI profile type: Publication
cites work: An infinite class of 4-designs
cites work: A new family of 4-designs
description: scientific article; zbMATH DE number 93437