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Generalized edge-pairings for the family of hyperbolic tessellations

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Author(s):
Vieira, Vandenberg Lopes ; Faria, Mercio Botelho ; Palazzo, Reginaldo, Jr.
Total Authors: 3
Document type: Journal article
Source: COMPUTATIONAL & APPLIED MATHEMATICS; v. 35, n. 1, p. 15-pg., 2016-04-01.
Abstract

In this paper we present generalized edge-pairings for the family of hyperbolic tessellations , with the purpose to obtain the corresponding discrete group of isometries. These tessellations have greater density packing than the self-dual tessellations implying that the associated codes achieve the least error probability, or equivalently, that these codes are optimum codes. (AU)