Eight octads suffice
type: Item
instance of: scholarly article
title: Eight octads suffice
zbMATH Open document ID: 0531.05024
DOI: 10.1016/0097-3165(84)90084-0
published in: Journal of Combinatorial Theory. Series A
publication date: 1984-01-01T00:00:00Z
review text: Let \(\Omega\) be a Steiner system S(5,8,24). It is shown that there exists a set of eight blocks, or octads, in \(\Omega\) such that \(\Omega\) is the only such Steiner system that contains all eight of them. Thus this set of eight octads determines \(\Omega\). No set of seven octads has this property.
Mathematics Subject Classification ID: 05B30
Mathematics Subject Classification ID: 51E10
zbMATH DE Number: 3841887
zbMATH Keywords: particular Steiner system
zbMATH Keywords: octads
author: Robert T. Curtis
MaRDI profile type: Publication
full work available at URL: 0097-3165(84)90084-0
OpenAlex ID: W2013789871
cites work: A new combinatorial approach to M24
cites work: Q4146667
cites work: A representation of the Mathieu group \(M_{24}\) as a collineation group
description: scientific article; zbMATH DE number 3841887