Small sets of even type and codewords
type: Item
instance of: scholarly article
title: Small sets of even type and codewords
zbMATH Open document ID: 0910.51005
DOI: 10.1007/BF01237498
published in: Journal of Geometry
publication date: 1999-04-22T00:00:00Z
review text: This note is a continuation of some study of codewords for a projective plane begun in [Eur. J. Comb. 15, No. 3, 259-268 (1994; Zbl 0803.51010)] by the authors. In this paper some geometric configurations of points in designs that give rise to vectors in the codes associated with the designs are investigated. In particular the authors look at small sets of points in projective planes of even order that are met evenly by all the lines of the plane, and find vectors of small weight in the binary hull and in the code's orthogonal. The details are too involved to be described here.
Mathematics Subject Classification ID: 51E22
Mathematics Subject Classification ID: 94B05
Mathematics Subject Classification ID: 51E20
zbMATH DE Number: 1146252
zbMATH Keywords: codewords
zbMATH Keywords: projective plane
zbMATH Keywords: designs
author: J. D. Key
author: M. J. de Resmini
reviewed by: Giorgio Faina
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01237498
OpenAlex ID: W2034493900
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description: scientific article; zbMATH DE number 1146252