A new quasi-symmetric 2-(56,\,16,\,6) design obtained from codes
type: Item
instance of: scholarly article
title: A new quasi-symmetric 2-(56,\,16,\,6) design obtained from codes
zbMATH Open document ID: 1049.05011
author: Akihiro Munemasa
author: Vladimir D. Tonchev
published in: Discrete Mathematics
publication date: 2004-08-20T00:00:00Z
review text: The biplanes \((v,v,k,k,2)\) are symmetric designs of great interest and they are known to exist for only a few values of \(v\) \((v=1+{k\choose 2})\). One of these values is \(v=56\), and the number of non-isomorphic biplanes on 56 points is not known. The authors use coding theory to construct a new biplane from the known quasi-symmetric biplane on 56 points; their new biplane is also quasi-symmetric.
Mathematics Subject Classification ID: 05B05
zbMATH DE Number: 2093786
zbMATH Keywords: Quasi-symmetric design
zbMATH Keywords: Symmetric design
zbMATH Keywords: Linear code
reviewed by: R. G. Stanton
describes a project that uses: Magma
MaRDI profile type: Publication
full work available at URL: j.disc.2003.11.036
OpenAlex ID: W2063177615
cites work: Q4004114
cites work: Q4718791
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cites work: Q4873725
cites work: Construction of a new symmetric block design for \((78,22,6)\) with the help of tactical decompositions
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cites work: Embedding of the Witt-Mathieu system S(3,6,22) in a symmetric 2-(78,22,6) design
DOI: 10.1016/J.DISC.2003.11.036
description: scientific article; zbMATH DE number 2093786