%0 Journal Article %T Complete arcs arising from a generalization of the Hermitian curve %A Herivelto Borges %A Beatriz Motta %A Fernando Torres %J Mathematics %D 2014 %I arXiv %X We investigate complete arcs of degree greater than two, in projective planes over finite fields, arising from the set of rational points of a generalization of the Hermitian curve. The degree of the arcs is closely related to the number of rational points of a class of Artin-Schreier curves which is calculated by using exponential sums via Coulter's approach. We also single out some examples of maximal curves. %U http://arxiv.org/abs/1401.3702v1