Title :
On the arithmetic Fuchsian groups derived from quaternion orders
Author :
Vieira, Vandenberg Lopes ; Palazzo, Reginaldo, Jr. ; Faria, Mercio Botelho
Author_Institution :
Univ. Estadual da Paraiba, Campinas
Abstract :
In this paper we generalize the process of identifying arithmetic Fuchsian groups in a quaternion order over an extension of the rational as shown in [3]. This procedure enable us to construct new lattices in the hyperbolic plane which are associated with signal constellations. In addition to this, the procedure also enable us to realize the labelling of the signals belonging to such signal constellations.
Keywords :
arithmetic codes; geometric codes; group theory; arithmetic Fuchsian groups; geometrically uniform codes; hyperbolic plane; quaternion orders; signal constellations; Algebra; Arithmetic; Constellation diagram; Context; Digital communication; Labeling; Lattices; Quaternions; Signal design;
Conference_Titel :
Telecommunications Symposium, 2006 International
Conference_Location :
Fortaleza, Ceara
Print_ISBN :
978-85-89748-04-9
Electronic_ISBN :
978-85-89748-04-9
DOI :
10.1109/ITS.2006.4433342
