Title
A small minimal blocking set in PG(n, pt), spanning a (t-1)-space, is linear.
Abstract
In this paper, we show that a small minimal blocking set with exponent e in PG(n, p (t) ), p prime, spanning a (t/e - 1)-dimensional space, is an -linear set, provided that p > 5(t/e)-11. As a corollary, we get that all small minimal blocking sets in PG(n, p (t) ), p prime, p > 5t - 11, spanning a (t - 1)-dimensional space, are -linear, hence confirming the linearity conjecture for blocking sets in this particular case.
Year
DOI
Venue
2013
10.1007/s10623-012-9751-x
DESIGNS CODES AND CRYPTOGRAPHY
Keywords
Field
DocType
Blocking set,Linearity conjecture,Linear set
Prime (order theory),Blocking set,Discrete mathematics,Finite field,Combinatorics,Exponent,Linearity,Corollary,Conjecture,Mathematics
Journal
Volume
Issue
ISSN
68.0
SP1-3
0925-1022
Citations 
PageRank 
References 
0
0.34
11
Authors
2
Name
Order
Citations
PageRank
Péter Sziklai1125.24
van de voorde2357.85