On the stability of sets of even type
type: Item
instance of: scholarly article
title: On the stability of sets of even type
zbMATH Open document ID: 1337.51003
author: Zsuzsa Weiner
author: Tamás Szőnyi
published in: Advances in Mathematics
publication date: 2014-10-20T00:00:00Z
review text: In this article, the authors focus on the stability theorem of sets of even type in \(\mathrm{PG}(2,q)\) when \(q\) is even. The authors improve the results of \textit{A. Blokhuis} and \textit{A. A. Bruen} [J. Comb. Theory, Ser. A 50, No. 2, 308--315 (1989; Zbl 0682.51003)] which are about being a hyperoval for the sets of size \(q+2\) up to sets of size \(q+m\). They also give some interesting combinatoric results.
Mathematics Subject Classification ID: 51E20
zbMATH DE Number: 6358440
zbMATH Keywords: finite geometry
zbMATH Keywords: sets of even type
zbMATH Keywords: stability of sets
zbMATH Keywords: codewords of small weight
reviewed by: Basri Çelik
MaRDI profile type: Publication
full work available at URL: j.aim.2014.09.007
OpenAlex ID: W2040347089
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DOI: 10.1016/J.AIM.2014.09.007
description: scientific article; zbMATH DE number 6358440