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Minimal blocking sets in PG(2,q) arising from a generalized construction of Megyesi

Minimal blocking sets in PG(2,q) arising from a generalized construction of Megyesi

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 …