A characterization of multiple (n – k)-blocking sets in projective spaces of square order

Abstract

Abstract In [10], it was shown that small t-fold (n - k)-blocking sets in PG(n; q), q = ph, p prime, h ≥ 1, intersect every k-dimensional space in t (mod p) points. We characterize in this article all t-fold (n - k)-blocking sets in PG(n,q), q square, q ≥ 661, t<cp q1/6 /2 |B|<tqn-k +2tqn-k-1 √q intersecting every k-dimensional space in t (mod √q ) points.