Authors
Citation
G. Lunardon et O. Polverino, Blocking sets of size q(t)+q(t-1)+1, J COMB TH A, 90(1), 2000, pp. 148-158
Citations number
12
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF COMBINATORIAL THEORY SERIES A
ISSN journal
00973165
→ ACNP
Volume
90
Issue
1
Year of publication
2000
Pages
148 - 158
Database
ISI
SICI code
0097-3165(200004)90:1<148:BSOSQ>2.0.ZU;2-4
Abstract
We prove that in the desarguesian plane PG(2, q(t)) (t > 4) there are at le
ast three inequivalent blocking sets of size q(t) + q(t-1) + 1. The first o
ne has q + 1 Redei lines, the second one has exactly one Redei line, and th
e third one is not of Redei type. For GF(q) the largest subfield of GF(q(t)
), our results disprove a conjecture quoted by A. Blokhuis (1998. in "Galoi
s Geometry and Generalized Polygons," Gent). (C) 2000 Academic Press.