Blocking sets of the classical unital

A. Blokhuis, A. E. Brouwer, D. Jungnickel, V. Krčadinac, S. Rottey, L. Storme, T. Szonyi, P. Vandendriessche

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

It is known that the classical unital arising from the Hermitian curve in PG(2,9) does not have a 2-coloring without monochromatic lines. Here we show that for q≥4 the Hermitian curve in PG(2,q2) does possess 2-colorings without monochromatic lines. We present general constructions and also prove a lower bound on the size of blocking sets in the classical unital.

Original languageEnglish
Pages (from-to)1-15
Number of pages15
JournalFinite Fields and their Applications
Volume35
DOIs
Publication statusPublished - Sep 1 2015

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Algebra and Number Theory
  • Engineering(all)
  • Applied Mathematics

Fingerprint Dive into the research topics of 'Blocking sets of the classical unital'. Together they form a unique fingerprint.

  • Cite this

    Blokhuis, A., Brouwer, A. E., Jungnickel, D., Krčadinac, V., Rottey, S., Storme, L., Szonyi, T., & Vandendriessche, P. (2015). Blocking sets of the classical unital. Finite Fields and their Applications, 35, 1-15. https://doi.org/10.1016/j.ffa.2015.02.004