On the smallest minimal blocking sets in projective space generating the whole space (Q1610963)

The authors present a strategy in order to prove the following conjecture: the smallest minimal point sets of \(PG(2s,q)\), \(q\) a square, that meet every \(s\)-subspace and that generate the whole space are Baer subgeometries \(PG(2s, \sqrt{q})\). This conjecture was already known for the cases \(s=1\) and \(s=2\) and is proved for \(s=3\) in this paper; the first author is dealing with the general case.