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A Geometric Construction of Complete (kr ,r)-arcs in PG(2,7) and the Related projective [n,3,d]7 Codes | ||
| AL-Rafidain Journal of Computer Sciences and Mathematics | ||
| Article 2, Volume 12, Issue 1, 2018, Pages 24-40 PDF (538.93 K) | ||
| Document Type: Research Paper | ||
| DOI: 10.33899/csmj.2018.163568 | ||
| Author | ||
| Nada Kasm Yahya | ||
| Department of Mathematics College of Education for Pure Science University of Mosul, Mosul, Iraq | ||
| Abstract | ||
| A (k ,r)-arc is a set of k points of a projective plane PG(2,q) such that some r, but no r + 1 of them, are collinear. The (k ,r)-arc is complete if it is not contained in a (k + 1,r)-arc. In this paper we give geometrical construction of complete (k r ,r)-arcs in PG(2,7), r = 2,3,…, 7, and the related projective [n,3,d]7 codes. | ||
| Keywords | ||
| projective plane; Complete arcs; Codes | ||
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