Let C be an irreducible conic in the desarguesian plane P G(2, q). There are exactly (q −1)q/2 lines of P G(2, q) which do not intersect C at any point in P G(2, q). Each of these lines is called an external line to C. A point-set K in P G(2, q) which is incident with each external line to C, is called a blocking set of external lines to C. In this paper, all point-sets of minimum size in P G(2, q), q even, that meet every external line to a conic in P G(2, q) are classified.
Blocking sets of the external lines to a conic in PG(2,q), q even
GIULIETTI, Massimo
2007
Abstract
Let C be an irreducible conic in the desarguesian plane P G(2, q). There are exactly (q −1)q/2 lines of P G(2, q) which do not intersect C at any point in P G(2, q). Each of these lines is called an external line to C. A point-set K in P G(2, q) which is incident with each external line to C, is called a blocking set of external lines to C. In this paper, all point-sets of minimum size in P G(2, q), q even, that meet every external line to a conic in P G(2, q) are classified.File in questo prodotto:
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