Abstract

Let Fq be a field with q elements. In this note, we study some generalized arcs, that is, sets of Fq-points in the projective plane P2 (Fq ) such that no six of them are on a conic. First, we consider the geometric configurations of such generalized arcs for small values of q and then we give some upper and lower bounds for the cardinality of complete generalized arcs, i.e. generalized arcs which are not contained in a bigger one.