On Complete 14-arcs in Semifield Planes of Order 16

Christine  M. O' Keefe,; Arlene  A. Pascasio,

On Complete 14-arcs in Semifield Planes of Order 16

Arlene A. Pascasio | Christine M. O' Keefe

Abstract:

Examples of complete 14-arcs have been given in all, except two, non-desarguesian translation planes of order 16. In this paper we give examples of complete 14-arcs in the two remaining planes namely the semifield plane with kernel GF(2) and the semifield plane with kernel GF(4).