Open AccessNon-binary Nonlinear Error-correcting Codes from Finite Upper Half-planes
Author(s) -
Eduardo Brandani da Silva,
Maycow Gonçalves Carneiro,
Frederico Ventura Batista
Publication year - 2021
Publication title -
asian research journal of mathematics
Language(s) - English
Resource type - Journals
ISSN - 2456-477X
DOI - 10.9734/arjom/2021/v17i630308
Subject(s) - binary number , nonlinear system , mathematics , domain (mathematical analysis) , prime (order theory) , plane (geometry) , discrete mathematics , combinatorics , mathematical analysis , arithmetic , geometry , physics , quantum mechanics
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.