Minimal blocking sets in PG(2,8) and maximal partial spreads in PGd(3,8)
We prove that PG(2, 8) does not contain minimal blocking sets of size 14. Using this result we prove that 58 is the largest size for a maximal partial spread of PG(3, 8). This supports the conjecture that q(2) - q + 2 is the largest size for a maximal partial spread of PG(3, q), q > 7.
blocking set partial spread finite projective plane non-existence