No abstract

No abstract

Small complete arcs and caps in Galois spaces over finite fields F q with characteristic greater than three are constructed from singular cubic curves.

Communicated by X. D. HouIn a three-dimensional Galois space of odd order q, the known infinite families of complete caps have size far from the theoretical lower bounds. In this paper, we investigate some caps defined from elliptic curves. In particular, we show that for each q between 100 and 350 they can be extended to complete caps, which turn out to be the smallest complete caps known in the literature.

No abstract