On the size of complete arcs in projective space of order 17

الملخص EN

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 is classified.

It is then shown that this maximum is q + 1 for all dimensions up to q.