Ovoids and monomial ovals
type: Item
instance of: scholarly article
title: Ovoids and monomial ovals
zbMATH Open document ID: 0844.05026
DOI: 10.1007/BF00181693
author: David G. Glynn
author: Christine M. O'Keefe
author: Tim Penttila
author: Cheryl E. Praeger
published in: Geometriae Dedicata
publication date: 1996-03-17T00:00:00Z
review text: The authors nearly settle the existence problem for transversal designs (or, equivalently, orthogonal arrays) with block size 8 or 9 and index \(\lambda> 1\). There are only 52 possible exceptions left. This is the first general theorem since the corresponding result for block size 7 was proved by \textit{Haim Hanani} [On transversal designs, Combinatorics, Part 1, Proc. Advanced Study Inst., Breukelen, 42-52 (1974; Zbl 0312.05016)].
Mathematics Subject Classification ID: 05B15
Mathematics Subject Classification ID: 05B30
Mathematics Subject Classification ID: 51E14
zbMATH DE Number: 843614
zbMATH Keywords: ovoids
zbMATH Keywords: monomial ovals
zbMATH Keywords: transversal designs
zbMATH Keywords: orthogonal arrays
reviewed by: Dieter Jungnickel
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1007/bf00181693
OpenAlex ID: W1969119912
description: scientific article; zbMATH DE number 843614