A Full List of Projectively Distinct K-Arcs in Finite Projetive Space Pg(2,8) | ||
| AL-Rafidain Journal of Computer Sciences and Mathematics | ||
| Article 27, Volume 9, Issue 1, June 2012, Pages 147-158 PDF (490.79 K) | ||
| Document Type: Research Paper | ||
| DOI: 10.33899/csmj.2012.163693 | ||
| Authors | ||
| Ali Ahmed A. Abdulla; Abdulkhalik L. Yasin | ||
| College of Computer Science and Mathematics, University of Mosul | ||
| 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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