On maximal arcs in projective Hjelmslev planes over chain rings of even characteristic
type: Item
instance of: scholarly article
title: On maximal arcs in projective Hjelmslev planes over chain rings of even characteristic
zbMATH Open document ID: 1069.51003
author: Thomas Honold
author: I. Landjev
published in: Finite Fields and their Applications
publication date: 2005-06-01T00:00:00Z
review text: By showing that hyperovals exist in the characteristic 4 case and do not exist in the characteristic 2 case, the authors prove that maximal \((k, 2)\)-arcs exist in finite projective Hjelmslev planes over chain rings \(R\) of nilpotency index 2 if and only if the characteristic of \(R\) is 4.
Mathematics Subject Classification ID: 51E21
Mathematics Subject Classification ID: 51E15
Mathematics Subject Classification ID: 94B05
Mathematics Subject Classification ID: 51C05
zbMATH DE Number: 2173079
zbMATH Keywords: finite Hjelmslev projective planes
zbMATH Keywords: hyperovals
zbMATH Keywords: maximal arcs
zbMATH Keywords: linear codes
reviewed by: Victor V. Pambuccian
MaRDI profile type: Publication
full work available at URL: j.ffa.2004.12.004
OpenAlex ID: W1964620721
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DOI: 10.1016/J.FFA.2004.12.004
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description: scientific article; zbMATH DE number 2173079