On the Size of Complete Arcs in Projective Space of Order 17
Arc
MDS code
normal rational curve
main conjecture.
The main goal of this paper is to show that a
-arc in
and
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
for all dimensions up to
.