Summary: We prove that a $GF( q)$-linear Rédei blocking set of size $q ^{t} + q ^{ t-1} + ;;; + q + 1$ of $P$G$(2, q ^{t})$ defines a derivable partial spread of $P$G($2 t - 1, q$). 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 $P$G$(2, q ^{t})$, if $tge$ 4.
