Construção de Constelações de Sinais via Uniformização de Curvas Hiperelípticas

Through the paradigm change in the design of new point-to-point digital comunications systems using the genus of the surface and by determining the uniformity region through the use of FDE associated with a given hyperelliptic curve in the Poincaré disk, this article presents the generators of the Fuchsian subgroup for the limit case, and a relationship between the degree of the hyperelliptic curve and the tessellation associated with the surface generated by the Fuchsian subgroup.