Linear codes and doubly transitive symmetric designs
type: Item
instance of: scholarly article
title: Linear codes and doubly transitive symmetric designs
zbMATH Open document ID: 0832.05011
DOI: 10.1016/0024-3795(95)00104-Y
author: Chris Parker
author: Vladimir D. Tonchev
published in: Linear Algebra and its Applications
publication date: 1996-02-20T00:00:00Z
review text: The authors discuss the construction of 2-transitive symmetric designs from their derived or residual designs by using their associated linear codes. In particular, they construct the Higman design (with parameters \((176, 50, 14))\) as the design supported by the minimum weight codewords in the extended binary code of certain designs invariant under the group \(\text{P}\Sigma\text{U}(3, 25)\).
Mathematics Subject Classification ID: 05B05
Mathematics Subject Classification ID: 94B05
Mathematics Subject Classification ID: 05E20
zbMATH DE Number: 803739
zbMATH Keywords: 2-transitive symmetric designs
zbMATH Keywords: residual designs
zbMATH Keywords: linear codes
zbMATH Keywords: Higman design
zbMATH Keywords: weight codewords
zbMATH Keywords: binary code
reviewed by: Dieter Jungnickel
MaRDI profile type: Publication
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Wikidata QID: Q127956953
description: scientific article; zbMATH DE number 803739