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الكلمات المفتاحية

Blocking Sets - ( k
n ) – arcs
fundamental theorem of projective geometry

الملخص

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.  
https://doi.org/10.33899/csmj.2010.163898
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