A class of complete \(k\)-caps of small cardinality in projective spaces over fields of characteristic three
type: Item
instance of: scholarly article
title: A class of complete \(k\)-caps of small cardinality in projective spaces over fields of characteristic three
zbMATH Open document ID: 0939.51019
DOI: 10.1016/S0012-365X(99)00089-8
author: Fernanda Pambianco
published in: Discrete Mathematics
publication date: 1999-11-25T00:00:00Z
review text: A \(k\)-cap in a projective space is a set of \(k\) points, no three of which are collinear. The \(k\)-cap is complete if it is not included in a \(k+1\)-cap. The author studies \(k\)-caps in \(PG(3,q)\), where \(q=3^n\), \(n>1\). He starts with the irreducible quadratic \(x^2_1-ax^2_2 +x^2_3-2 x_3x_0=0\). He gives a construction for a class of \(k\)-caps in this space with \(k=(q^2+4)/3\).
Mathematics Subject Classification ID: 51E22
zbMATH DE Number: 1369801
zbMATH Keywords: \(k\)-caps
reviewed by: Theodore G. Ostrom
MaRDI profile type: Publication
Wikidata QID: Q127359272
description: scientific article; zbMATH DE number 1369801