Blocking Sets Of External Lines To A Conic In PG(2,q), q ODD

We determine all point-sets of minimum size in PG(2,q), q odd that meet every external line to a conic in PG(2,q). The proof uses a result on the linear system of polynomials vanishing at every internal point to the conic and a corollary to the classification theorem of all subgroups of PGL(2,q).

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Correspondence to Angela Aguglia*.

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* Research supported by the Italian Ministry MURST, Strutture geometriche, combinatoria e loro applicazioni and by the Hungarian-Italian Intergovernemental project “Algebraic and Geometric Structures”.

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Aguglia*, A., Korchmáros*, G. Blocking Sets Of External Lines To A Conic In PG(2,q), q ODD. Combinatorica 26, 379–394 (2006). https://doi.org/10.1007/s00493-006-0021-2

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Mathematics Subject Classification (2000):

  • 51E21
  • 05B25