We are interested in non-singular plane curves whose number of rational points attains the Hasse-Weil upper bound. Dedicated with affection to J.W.P. Hirschfeld and G. Korchmáros

We investigate one-point algebraic geometric codes CL(D, G) associated to maximal curves recently characterized by Tafazolian and Torres given by the affine equation yl = f(x), where f(x) is a separable polynomial of degree r relatively prime to l. We mainly focus on the curve y4 = x3 +x and Picard curves given by the equations y3 = x4-x and y3 = x4 -1. As a result, we obtain exact value of min...