On KM-Arcs in Small Desarguesian Planes

  • Peter Vandendriessche
Keywords: Desarguesian projective plane, KM-arcs, $(q t, t)$-Arcs of type $(0, 2, t)$

Abstract

In this paper we study the existence problem for KM-arcs in small Desarguesian planes. We establish a full classification of KM$_{q,t}$-arcs for $q\le 32$, up to projective equivalence. We also construct a KM$_{64,4}$-arc; as $t=4$ was the only value for which the existence of a KM$_{64,t}$-arc was unknown, this fully settles the existence problem for $q\le 64$.
Published
2017-03-17
Article Number
P1.51