On (k,n)-blocking sets which can be obtained as a union of conics
type: Item
instance of: scholarly article
title: On (k,n)-blocking sets which can be obtained as a union of conics
zbMATH Open document ID: 0661.51006
DOI: 10.1007/BF00183016
author: Emanuela Ughi
published in: Geometriae Dedicata
publication date: 1988-01-01T00:00:00Z
review text: A family of t conics in PG(2,q) is called saturated if any line \(L\subset PG(2,q)\) is incident with at least one conic of the family. Then, if \(t<(q+1)/2\), the set consisting of the union of the given t conics is a (k,n)-blocking set. It is shown that in this way one can get blocking sets whose character n is ``small'' compared to q; it is also shown that t cannot be taken independent of q, but must necessarily increase as q does.
Mathematics Subject Classification ID: 51A45
Mathematics Subject Classification ID: 51A30
zbMATH DE Number: 4080273
zbMATH Keywords: (k,n)-blocking set
MaRDI profile type: Publication
cites work: Q3851217
cites work: Q3312812
full work available at URL: https://doi.org/10.1007/bf00183016
OpenAlex ID: W1995787984
description: scientific article; zbMATH DE number 4080273