On an infinite class of Steiner systems with \(t=3\) and \(k=6\)
type: Item
instance of: scholarly article
title: On an infinite class of Steiner systems with \(t=3\) and \(k=6\)
zbMATH Open document ID: 0594.05016
DOI: 10.1016/0097-3165(86)90006-3
author: Edward F. jun. Assmus
author: J. D. Key
published in: Journal of Combinatorial Theory. Series A
publication date: 1986-01-01T00:00:00Z
review text: An extension of the \(2-((4^{n+1}-1)/3,5,1)\) design consisting of the points and lines of PG(n,4) into a \(3-((4^{n+1}+2)/3,6,1)\) design is constructed. The possibility for extension of this 3-design to a Steiner 4- or 5-design is discussed.
reviewed by: Vladimir D. Tonchev
Mathematics Subject Classification ID: 05B07
Mathematics Subject Classification ID: 51E10
zbMATH DE Number: 3954935
zbMATH Keywords: Steiner system
zbMATH Keywords: 3-design
MaRDI profile type: Publication
full work available at URL: 0097-3165(86)90006-3
OpenAlex ID: W2074484222
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description: scientific article; zbMATH DE number 3954935