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On the Arithmetic Fuchsian Groups Derived from Quaternion Orders

Author(s):
Vieira, Vandenberg Lopes ; Palazzo, Reginaldo, Jr. ; Faria, Mercio Botelho ; IEEE
Total Authors: 4
Document type: Journal article
Source: PROCEEDINGS OF THE IEEE INTERNATIONAL TELECOMMUNICATIONS SYMPOSIUM, VOLS 1 AND 2; v. N/A, p. 2-pg., 2006-01-01.
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. (AU)

FAPESP's process: 02/07473-7 - Geometrically uniform codes in homogeneous spaces
Grantee:Sueli Irene Rodrigues Costa
Support Opportunities: Research Projects - Thematic Grants