Arithmetic fuchsian groups and space time block codes

in the context of space time block codes (stbcs) the theory of arithmetic fuchsian groups is presented. additionally, in this work we present a new class of stbcs based on arithmetic fuchsian groups. this new class of codes satisfies the property full-diversity, linear dispersion and full-rate. mathematical subject classification: 18b35, 94a15, 20h10.