Blocking sets of the classical unital

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

doi:10.1016/j.ffa.2015.02.004

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 journal › Article › Academic › peer-review

3 Citations (Scopus)

2 Downloads (Pure)

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 language	English
Pages (from-to)	1-15
Number of pages	15
Journal	Finite Fields and their Applications
Volume	35
DOIs	https://doi.org/10.1016/j.ffa.2015.02.004
Publication status	Published - 1 Sept 2015

Access to Document

10.1016/j.ffa.2015.02.004

Cite this

@article{c9e43764142346bab166e2fc9ce8508c,

title = "Blocking sets of the classical unital",

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.",

author = "A. Blokhuis and Brouwer, \{A. E.\} and D. Jungnickel and V. Kr{\v c}adinac and S. Rottey and L. Storme and T. Szonyi and P. Vandendriessche",

year = "2015",

month = sep,

day = "1",

doi = "10.1016/j.ffa.2015.02.004",

language = "English",

volume = "35",

pages = "1--15",

journal = "Finite Fields and their Applications",

issn = "1071-5797",

publisher = "Academic Press Inc.",

}

TY - JOUR

T1 - Blocking sets of the classical unital

AU - Blokhuis, A.

AU - Brouwer, A. E.

AU - Jungnickel, D.

AU - Krčadinac, V.

AU - Rottey, S.

AU - Storme, L.

AU - Szonyi, T.

AU - Vandendriessche, P.

PY - 2015/9/1

Y1 - 2015/9/1

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/84925880304

U2 - 10.1016/j.ffa.2015.02.004

DO - 10.1016/j.ffa.2015.02.004

M3 - Article

SN - 1071-5797

VL - 35

SP - 1

EP - 15

JO - Finite Fields and their Applications

JF - Finite Fields and their Applications

ER -

Blocking sets of the classical unital

Abstract

Access to Document

Other files and links

Fingerprint

Cite this