Title of article :
On the Size of Complete Arcs in Projective Space of Order 17
Author/Authors :
Al-Seraji, N.A.M. University of Al-Mustansiriya - College of Science - Department of Mathematics, Iraq
Abstract :
The main goal of this paper is to show that a q-arc in PG (3،q) and q=17 is subset of a twisted cubic, that is, a normal rational curve. The maximum size of an arc in a projective space or equivalently the maximum length of a maximum distance separable linear code are classified. It is then shown that this maximum is q+1 for all dimensions up to q..
Keywords :
Arc , MDS code , normal rational curve , main conjecture.
Journal title :
Iraqi Journal Of Science
Journal title :
Iraqi Journal Of Science
