Arcs with large conical subsets in Desarguesian planes of even order

Abstract

We give an explicit classification of the arcs in PG (2, q) (q even) with a large conical suset and excess 2, i.e., that consist of q/2 + 1 points of a conic and two points not on that conic. Apart from the initial setup,the methods used are similar to those for the case of odd q, published earlier