A new lower bound for the size of an affine blocking set

Abstract

A blocking set in an affine plane is a set of points B such that every line contains at least one point of B. The best known lower bound for blocking sets in arbitrary (non-desarguesian) affine planes was derived in the 1980's by Bruen and Silverman. In this note, we improve on this result by showing that a blocking set of an affine plane of order q, q≥ 25, contains at least q+q+3 points.

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