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Research Article Open access CC BY 4.0

Non-binary Nonlinear Error-correcting Codes from Finite Upper Half-planes

Eduardo Brandani da Silva, Maycow G. Carneiro, Frederico Ventura Batista

Asian Research Journal of Mathematics · pp. 46–57 · Published 4 Sep 2021

10.9734/arjom/2021/v17i630308

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.

Nonlinear error-correcting codes finite upper half plane fundamental domain

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