Minimal blocking sets in PG(2,q) arising from a generalized construction of Megyesi
Harrach Harrach, Csaba Mengyán · Innovations in incidence geometry · 2008
We generalize the Megyesi construction for Rédei minimal blocking sets by placing cosets of a multiplicative subgroup of GF(q)\{0} on n lines of the affine plane.These points together with the determined directions give a minimal blocking set B with |B| ≥ (2 -2/9)q + O( √ q).We also investigate some constructions in PG(2, q h ).We show that if there is a minimal blocking set of size 2q -x in PG(2, q), then minimal blocking sets of size 2q h -x and 2q h -x + 1 exist in PG(2, q h ), which are not necessarily of Rédei type.