Existence Of (47,5)- Arcs in The Projective Plane PG (2,13) | ||
| AL-Rafidain Journal of Computer Sciences and Mathematics | ||
| Article 11, Volume 1, Issue 1, June 2004, Pages 7-15 PDF (296.84 K) | ||
| Document Type: Research Paper | ||
| DOI: 10.33899/csmj.2004.164103 | ||
| Author | ||
| Shuaa Mahmood Aziz | ||
| Department of Mathematics College of Computer Science and Mathematics University of Mosul, Iraq | ||
| Abstract | ||
| In this work we show the existence of complete (47,5)- arcs which are unknown until now. The upper bound for the (k,5)- arcs is narrowed in the finite projective plane PG (2,13). The narrowing is fulfilled by finding complete (47,5)-arcs which are 372 arcs. However, only one (47,5)-complete arc out of the 372 is considered in this work. Furthermore the relation between complete (k, n)-arcs and minimal t-blocking sets is proved, in addition to between the connection of our arc and the code. | ||
| Keywords | ||
| (47; 5)- arcs; finite projective plane PG (2; 13); complete (k; n)-arcs; minimal t-blocking sets | ||
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