Maximal arcs and disjoint maximal arcs in projective planes of order 16
type: Item
instance of: scholarly article
title: Maximal arcs and disjoint maximal arcs in projective planes of order 16
zbMATH Open document ID: 0981.51011
DOI: 10.1007/BF01220304
author: Nicholas Hamilton
author: Stoicho D. Stoichev
author: Vladimir D. Tonchev
published in: Journal of Geometry
publication date: 2002-03-07T00:00:00Z
review text: Let \(q\) be the order of a finite projective plane \(\Pi\) and \(2\leq n\leq q.\) A maximal \(\{q(n-1)+n;n\}\)-arc is a subset of \(q(n-1)+n\) points in \(\Pi\) that meets every line in \(0\) or \(n\) points. The authors present the results of computer searches for such arcs in all the known planes of order 16 with \(n=4.\) They also classify pairs of disjoint such arcs inside the list of arcs obtained. Finally, the authors give some results on resolvable 2-\((52,4,1)\) designs associated with maximal arcs as above.
reviewed by: Hubert Kiechle
Mathematics Subject Classification ID: 51E15
zbMATH DE Number: 1443429
zbMATH Keywords: arcs
zbMATH Keywords: maximal arcs
zbMATH Keywords: projective planes of order 16
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01220304
OpenAlex ID: W2026400210
description: scientific article; zbMATH DE number 1443429