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AL-Rafidain Journal of Computer Sciences and Mathematics

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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
10.33899/csmj.2010.163898

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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
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(2010). The Minimal Blocking Set Of Size 22 In PG ( 2 , 13 ). AL-Rafidain Journal of Computer Sciences and Mathematics, 7(2), 77-88. doi: 10.33899/csmj.2010.163898
Farah H. Kadoo. "The Minimal Blocking Set Of Size 22 In PG ( 2 , 13 )". AL-Rafidain Journal of Computer Sciences and Mathematics, 7, 2, 2010, 77-88. doi: 10.33899/csmj.2010.163898
(2010). 'The Minimal Blocking Set Of Size 22 In PG ( 2 , 13 )', AL-Rafidain Journal of Computer Sciences and Mathematics, 7(2), pp. 77-88. doi: 10.33899/csmj.2010.163898
The Minimal Blocking Set Of Size 22 In PG ( 2 , 13 ). AL-Rafidain Journal of Computer Sciences and Mathematics, 2010; 7(2): 77-88. doi: 10.33899/csmj.2010.163898
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