A 35-set of type (2,5) in PG(2,9)
type: Item
instance of: scholarly article
title: A 35-set of type (2,5) in PG(2,9)
zbMATH Open document ID: 0646.51004
DOI: 10.1016/0097-3165(87)90021-5
published in: Journal of Combinatorial Theory. Series A
publication date: 1987-01-01T00:00:00Z
review text: A nice example of a 35-set of type (2,5) in the Desarguesian plane of order nine is constructed. As the author claims, it is the first example of a set of type \((m,q+m)\) with \((m+q)(q^ 2-q+1)\) points in an odd square order plane; in the above mentioned example one has \(m=2\) and \(q=3\).
Mathematics Subject Classification ID: 51A30
Mathematics Subject Classification ID: 51D20
Mathematics Subject Classification ID: 05B25
zbMATH DE Number: 4054439
zbMATH Keywords: 35-set of type (2,5) in the Desarguesian plane of order nine
author: M. J. de Resmini
reviewed by: Antonio Andreatta
MaRDI profile type: Publication
full work available at URL: 0097-3165(87)90021-5
OpenAlex ID: W2048238526
cites work: Some unitals on 28 points and their embeddings in projective planes of order 9
cites work: Q5548751
cites work: Q3909065
cites work: Q3903630
cites work: An infinite family of type \((m,n)\) sets in \(PG(2,q^2)\), \(q\) a square
cites work: Q3746429
cites work: Q3776144
cites work: Q3752175
cites work: Q3851217
cites work: Q5524221
description: scientific article; zbMATH DE number 4054439