Relative blocking sets of unions of Baer subplanes

Aart Blokhuis, Leo Storme (Corresponding author), Tamás Szőnyi

Research output: Contribution to journalArticleAcademicpeer-review

Abstract

We show that, for small t, the smallest set that blocks the long secants of the union of t pairwise disjoint Baer subplanes in PG (2 , q2) has size t(q+ 1) and consists of t Baer sublines, and, for large t, the smallest such set has size q2+ q+ 1 and is itself a Baer subplane of PG (2 , q2). We also present a stability result in the first case.

Original languageEnglish
Pages (from-to)865-877
Number of pages13
JournalDesigns, Codes and Cryptography
Volume87
Issue number4
Early online date28 Oct 2018
DOIs
Publication statusPublished - 15 Apr 2019

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Keywords

  • Baer subplanes
  • Blocking sets
  • Fractional cover
  • Fractional covering number
  • Relative blocking sets

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