The Minimal Blocking Set Of Size 22 In PG ( 2 , 13 )

Abstract

A blocking set B in projective plane PG (2, ) in a set of points such that every line in the plane intersect B in at least one point and there exist a line intersect B in only one point, we say that B is minimal if B has no minimal blocking subset. In this project we proved the non-existence of minimal blocking set of size 22 contains 8-secant and not contains 9-secant in PG (2, 13). Also we have proved the existence of minimal blocking set of the size 22 of redei-type. Also we give some properties of such blocking set.

Keywords

• blocking sets - ( k
• n ) – arcs
• fundamental theorem of projective geometry