1 research outputs found
On Mathon's construction of maximal arcs in Desarguesian planes. II
In a recent paper [M], Mathon gives a new construction of maximal arcs which
generalizes the construction of Denniston. In relation to this construction,
Mathon asks the question of determining the largest degree of a non-Denniston
maximal arc arising from his new construction. In this paper, we give a nearly
complete answer to this problem. Specifically, we prove that when and
, the largest of a non-Denniston maximal arc of degree in
PG(2,2^m) generated by a {p,1}-map is (\floor {m/2} +1). This confirms our
conjecture in [FLX]. For {p,q}-maps, we prove that if and ,
then the largest of a non-Denniston maximal arc of degree in
PG(2,2^m) generated by a {p,q}-map is either \floor {m/2} +1 or \floor{m/2}
+2.Comment: 21 page