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Minimal Blocking Sets in Projective Spaces of Square Order

Authors:	Martin Bokler

Institution:	(1) Mathematics Institute, Universitaet Giessen, Giessen, Germany, D-35392

Abstract:	In this paper minimal m-blocking sets of cardinality at most $\theta _m + \theta _{m - 1} \sqrt q$ in projective spaces PG(n,q) of square order q, q 16, are characterized to be (t, 2(m-t-1))-cones for some t with $\max \{ - 1,2m - n - 1\} \leqslant t \leqslant m - 1$ . In particular we will find the smallest m-blocking sets that generate the whole space PG(n,q) for 2m n m.

Keywords:	blocking set Baer cone Baer subplane Baer subspace
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