Title
Relative blocking sets of unions of Baer subplanes.
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 \(\hbox {PG}(2,q^2)\) has size \(t(q+1)\) and consists of t Baer sublines, and, for large t, the smallest such set has size \(q^2+q+1\) and is itself a Baer subplane of \(\hbox {PG}(2,q^2)\). We also present a stability result in the first case.
Year
DOI
Venue
2019
10.1007/s10623-018-0575-1
Des. Codes Cryptography
Keywords
Field
DocType
Blocking sets, Baer subplanes, Relative blocking sets, Fractional cover, Fractional covering number, 05B25, 51E20, 51E21
Discrete mathematics,Combinatorics,Disjoint sets,Mathematics
Journal
Volume
Issue
ISSN
87
4
1573-7586
Citations 
PageRank 
References 
0
0.34
4
Authors
3
Name
Order
Citations
PageRank
A. Blokhuis127262.73
Leo Storme219738.07
Tamás Szőnyi36411.14