The construction of Complete (kn,n)-arcs in The Projective Plane PG(2,5) by Geometric Method, with the Related Blocking Sets and Projective Codes

Authors

Amal SH Al-Mukhtar
Umniyat A. Hassan

Abstract

A (k,n)-arc is a set of k points of PG(2,q) for some n, but not n + 1 of them, are collinear. A (k,n)-arc is complete if it is not contained in a (k + 1,n)-arc. In this paper we construct complete (kn,n)-arcs in PG(2,5), n = 2,3,4,5, by geometric method, with the related blocking sets and projective codes.

Keywords

Complete arcs, blocking set, projective cod

Article Type

Article

How to Cite this Article

Al-Mukhtar, Amal SH and Hassan, Umniyat A. (2014) "The construction of Complete (kn,n)-arcs in The Projective Plane PG(2,5) by Geometric Method, with the Related Blocking Sets and Projective Codes," Baghdad Science Journal: Vol. 11: Iss. 2, Article 8.
DOI: https://doi.org/10.21123/bsj.2014.11.2.242-248