Constructing 3-designs from spreads and lines
type: Item
instance of: scholarly article
title: Constructing 3-designs from spreads and lines
zbMATH Open document ID: 0664.51006
DOI: 10.1016/0012-365X(89)90146-5
author: Luigia Berardi
published in: Discrete Mathematics
publication date: 1989-01-01T00:00:00Z
review text: The author considers a combinatorial structure generalizing a design, which arises from spreads and partial spreads in a finite projective space. In the case that a usual design is obtained, the main theorem becomes the following. A 3-(v,k,\(\lambda)\) design D can be constructed from a t-spread S of \(PG(2t+1,q)\) with \(v=q^{t+1}+1,\) \(k=q+1,\) \(\lambda =(q^{t+1}-1)/(q-1).\) The points of D are the elements of S and the blocks of D are the lines meeting at least three elements of S.
Mathematics Subject Classification ID: 51E20
Mathematics Subject Classification ID: 05B25
zbMATH DE Number: 4086415
zbMATH Keywords: design
zbMATH Keywords: spreads
zbMATH Keywords: partial spreads
zbMATH Keywords: finite projective space
MaRDI profile type: Publication
cites work: Q3968056
cites work: On the type of partial t-spreads in finite projective spaces
cites work: Q5545191
cites work: Q3683093
description: scientific article; zbMATH DE number 4086415