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AL-Rafidain Journal of Computer Sciences and Mathematics

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A Full List of Projectively Distinct K-Arcs in Finite Projetive Space Pg(2,8)

    Ali Ahmed A. Abdulla Abdulkhalik L. Yasin

AL-Rafidain Journal of Computer Sciences and Mathematics, 2012, Volume 9, Issue 1, Pages 147-158
10.33899/csmj.2012.163693

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Abstract

A k-arc in a plane PG(2,q)  is a set of k point such that every line in the plane intersect it in at most two points and there is a line intersect it in exactly two points. A k-arc is complete if there is no k+1-arc containing it. This thesis is concerned with studies a k-arcs, k=4,5,….,10 and classification of projectively distinct k-arcs and distinct arcs under collineation. We prove by using  computer program that the only complete k-arcs is for, k= 6,10. This work take (150) hours computer time .   
 
Keywords:
    Projective space Complete arcs Companion matrix
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(2012). A Full List of Projectively Distinct K-Arcs in Finite Projetive Space Pg(2,8). AL-Rafidain Journal of Computer Sciences and Mathematics, 9(1), 147-158. doi: 10.33899/csmj.2012.163693
Ali Ahmed A. Abdulla; Abdulkhalik L. Yasin. "A Full List of Projectively Distinct K-Arcs in Finite Projetive Space Pg(2,8)". AL-Rafidain Journal of Computer Sciences and Mathematics, 9, 1, 2012, 147-158. doi: 10.33899/csmj.2012.163693
(2012). 'A Full List of Projectively Distinct K-Arcs in Finite Projetive Space Pg(2,8)', AL-Rafidain Journal of Computer Sciences and Mathematics, 9(1), pp. 147-158. doi: 10.33899/csmj.2012.163693
A Full List of Projectively Distinct K-Arcs in Finite Projetive Space Pg(2,8). AL-Rafidain Journal of Computer Sciences and Mathematics, 2012; 9(1): 147-158. doi: 10.33899/csmj.2012.163693
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