Non-binary Nonlinear Error-correcting Codes from Finite Upper Half-planes
Eduardo Brandani da Silva *
Universidade Estadual de Maring´a, Av. Colombo, 5790 - Zona 7, Maring´a, Paran´a, Brazil.
Maycow G. Carneiro
Universidade Tecnol´ogica Federal do Paran´a, Linha Santa B´arbara, s/n, Francisco Beltr~ao, Paran´a, Brazil.
Frederico Ventura Batista
Instituto Federal do Norte de Minas Gerais, Fazenda Varginha Km 02 Rod. Salinas/Taiobeiras - Salinas, Minas Gerais, Brazil
*Author to whom correspondence should be addressed.
Abstract
Current work builds new families of non-binary nonlinear error-correcting codes from Finite Upper Half-Plane 
and p a prime number. A fundamental domain is defined to a discrete group 
acting over Hq. We establish some concepts and results on Hq, such that the geometric properties allow us to get codification and decodification.
Keywords: Nonlinear error-correcting codes, finite upper half plane, fundamental domain