Small point sets of PG(n, p 3h) intersecting each line in 1 mod phpoints

Nóra V. Harrach, Klaus Metsch, T. Szőnyi, Zsuzsa Weiner

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

The main result of this paper is that point sets of PG(n, q), q = p3h, p ≥ 7 prime, of size ≥ 3(qn-1 + 1)/2 intersecting each line in 1 modulo {\sqrt[3] q} points (these are always small minimal blocking sets with respect to lines) are linear blocking sets. As a consequence, we get that minimal blocking sets of PG(n, p3), p ≥ 7 prime, of size ≥ 3(p3(n-1) + 1)/2 with respect to lines are always linear.

Original languageEnglish
Pages (from-to)59-78
Number of pages20
JournalJournal of Geometry
Volume98
Issue number1-2
DOIs
Publication statusPublished - Aug 2010

Fingerprint

Blocking Set
Set of points
Minimal Set
Line
Modulo

Keywords

  • Blocking sets
  • Linearity conjecture

ASJC Scopus subject areas

  • Geometry and Topology

Cite this

Small point sets of PG(n, p 3h) intersecting each line in 1 mod phpoints. / Harrach, Nóra V.; Metsch, Klaus; Szőnyi, T.; Weiner, Zsuzsa.

In: Journal of Geometry, Vol. 98, No. 1-2, 08.2010, p. 59-78.

Research output: Contribution to journalArticle

Harrach, Nóra V. ; Metsch, Klaus ; Szőnyi, T. ; Weiner, Zsuzsa. / Small point sets of PG(n, p 3h) intersecting each line in 1 mod phpoints. In: Journal of Geometry. 2010 ; Vol. 98, No. 1-2. pp. 59-78.
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