engleski

Lacunary Polynomials and Blocking Sets

A blocking set B is a set of points which meets every line of a projective plane. If each line of a plane contains at least t points of B then B is called a t-fold blocking set. This presentation describes their structure, existence and examines possible bounds on the size of blocking sets. Results of the theory of fully reducible lacunary polynomials (polynomials with a gap between its degree and second degree) are fundamental in determining further lower bounds on the size of blocking sets in Desarguesian projective planes.

blocking set; t-fold blocking set; lacunary polynomial

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