Sets of type \((m,n)\) in the affine and projective planes of order nine
type: Item
instance of: scholarly article
title: Sets of type \((m,n)\) in the affine and projective planes of order nine
zbMATH Open document ID: 0841.05012
DOI: 10.1007/BF01388477
author: Tim Penttila
author: Gordon Royle
published in: Designs, Codes and Cryptography
publication date: 1995-12-20T00:00:00Z
review text: Sets of type \((m, n)\) mentioned in the title refer to the property that a line in the plane contains either \(m\) or \(n\) points in the set (and both values occur). This paper presents, along with a general account of these sets, an exhaustive computer search for points of type \((m, n)\) in the projective and affine planes of order nine. The results are complete and organized in a way that summarizes the existing knowledge about such sets.
Mathematics Subject Classification ID: 05B25
zbMATH DE Number: 828262
zbMATH Keywords: projective planes
zbMATH Keywords: line
zbMATH Keywords: points of type \((m, n)\)
zbMATH Keywords: affine planes
describes a project that uses: Cayley
describes a project that uses: nauty
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01388477
OpenAlex ID: W2059895764
Wikidata QID: Q59411507
DBLP publication ID: journals/dcc/PenttilaR95
description: scientific article; zbMATH DE number 828262