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

Eduardo Brandani da Silva | Zendy; Maycow Gonçalves Carneiro | Zendy; Frederico Ventura Batista | Zendy

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Non-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.

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