Keywords : fundamental theorem of projective geometry


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

Farah H. Kadoo

AL-Rafidain Journal of Computer Sciences and Mathematics, 2010, Volume 7, Issue 2, Pages 77-88
DOI: 10.33899/csmj.2010.163898

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.