A small minimal blocking set in PG(n, p^t ), spanning a (t − 1)-space, is linear
Péter Sziklai, Geertrui Van de Voorde · Repository of the Academy's Library (Library of the Hungarian Academy of Sciences) · 2011
In this paper, we show that a small minimal blocking set with exponent e in PG(n, pt), p prime, spanning a (t/e − 1)-dimensional space, is an Fpe-linear set, provided that p> 5(t/e) − 11. As a corol-lary, we get that all small minimal blocking sets in PG(n, pt), p prime, p> 5t−11, spanning a (t−1)-dimensional space, are Fp-linear, hence confirming the linearity conjecture for blocking sets in this particular case.