Blocking and Double Blocking Sets in Finite Planes

[摘要] In this paper, by using properties of Baer subplanes, we describe the construction of a minimal blocking set in the Hall plane of order $q^2$ of size $q^2+2q+2$ admitting $1-$, $2-$, $3-$, $4-$, $(q+1)-$ and $(q+2)-$secants. As a corollary, we obtain the

[学科分类] 离散数学和组合数学

[关键词] Minimal blocking set;Baer subplane;Stabiliser of a Baer subplane;Hall plane;André plane;Double blocking set;Value set of polynomials