A small minimal blocking set in PG(n,p^t), spanning a (t-1)-space, is linear
Combinatorics
2012-10-04 v1
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 F_p^e-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 F_p-linear, hence confirming the linearity conjecture for blocking sets in this particular case.
Cite
@article{arxiv.1210.1003,
title = {A small minimal blocking set in PG(n,p^t), spanning a (t-1)-space, is linear},
author = {Peter Sziklai and Geertrui Van de Voorde},
journal= {arXiv preprint arXiv:1210.1003},
year = {2012}
}