engleski

Blocking Sets and Nuclei

A t-fold blocking set B in a PG(2, q) is a set of points such that every line of PG(2, q) intersects B in at least t points. A point P of S is a t-fold nucleus of S in PG(2, q) if every line through P meets at least t points of S. Certain lacunary polynomials (fully reducible polynomials with a gap between its degree and second degree) over finite field are associated with a t-fold blocking sets and possible number of t-fold nuclei to a set of points in PG(2, q).

blocking set; nucleus

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