Ovals and hyperovals in nets
type: Item
instance of: scholarly article
title: Ovals and hyperovals in nets
zbMATH Open document ID: 1077.05021
author: Charles J. Colbourn
author: David A. Drake
author: Wendy Myrvold
published in: Discrete Mathematics
publication date: 2005-06-23T00:00:00Z
review text: In this paper, incomplete mutually orthogonal Latin squares (MOLS) were used to construct \(r\)-nets of order \(n \leq 8\) with ovals or hyperovals. To do that, several small MOLS with an oval or a hyperoval were constructed directly. As a result, now the existence of \(r\)-nets of order \(n\leq 8\) with ovals and hyperovals is reduced to a finite number of undertermined cases. The authors also investigated the existence of incomplete MOLSs of order \(n \geq 775\) with a hole of size \(8\). From that the existence of a \(9\)-net of order \(n \geq 775\) with a hyperoval is proved.
Mathematics Subject Classification ID: 05B30
Mathematics Subject Classification ID: 05B15
Mathematics Subject Classification ID: 05B25
zbMATH DE Number: 2182130
zbMATH Keywords: mutually orthogonal Latin squares
MaRDI profile type: Publication
full work available at URL: j.disc.2004.04.036
OpenAlex ID: W2062741368
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DOI: 10.1016/J.DISC.2004.04.036
description: scientific article; zbMATH DE number 2182130