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

Nóra V. Harrach, Klaus Metsch, Tamás Szonyi, 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 1 2010

Keywords

  • Blocking sets
  • Linearity conjecture

ASJC Scopus subject areas

  • Geometry and Topology

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