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,pt), p prime, spanning a (t/e-1)-dimensional space, is an Fpe-linear set, provided that p>5(t/e)-11. As a corollary, 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.
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