Blocking Sets and Derivable Partial Spreads

Abstract

We prove that a GF(q)-linear Rédei blocking set of size q t + q t−1 + ··· + q + 1 of PG(2,q t) defines a derivable partial spread of PG(2t − 1, q). Using such a relationship, we are able to prove that there are at least two inequivalent Rédei minimal blocking sets of size q t + q t−1 + ··· + q + 1 in PG(2,q t), if t ≥ 4.