A cryptography method based on hyperbolicbalancing and Lucas-balancing functions

Abstract The goal is to study a new class of hyperbolic functions that unite the characteristics of the classical hyperbolic functions and the recurring balancing and Lucas-balancing numbers. These functions are indeed the extension of Binet formulas for both balancing and Lucas-balancing numbers in...

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Autor principal:	Ray,Prasanta Kumar
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2020
Materias:	Balancing numbers Lucas-balancing numbers Hyperbolic balancing functions Hyperbolic Lucas-balancing functions Cryptography
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000100135
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spelling	oai:scielo:S0716-091720200001001352020-02-18A cryptography method based on hyperbolicbalancing and Lucas-balancing functionsRay,Prasanta Kumar Balancing numbers Lucas-balancing numbers Hyperbolic balancing functions Hyperbolic Lucas-balancing functions Cryptography Abstract The goal is to study a new class of hyperbolic functions that unite the characteristics of the classical hyperbolic functions and the recurring balancing and Lucas-balancing numbers. These functions are indeed the extension of Binet formulas for both balancing and Lucas-balancing numbers in continuous domain. Some identities concerning hyperbolic balancing and Lucas-balancing functions are also established. Further, a new class of square matrices, a generalization of balancing QB-matrices for continuous domain, is considered. These matrices indeed enable us to develop a cryptography method for secrecy purpose.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.39 n.1 20202020-02-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000100135en10.22199/issn.0717-6279-2020-01-0009
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Balancing numbers Lucas-balancing numbers Hyperbolic balancing functions Hyperbolic Lucas-balancing functions Cryptography
spellingShingle	Balancing numbers Lucas-balancing numbers Hyperbolic balancing functions Hyperbolic Lucas-balancing functions Cryptography Ray,Prasanta Kumar A cryptography method based on hyperbolicbalancing and Lucas-balancing functions
description	Abstract The goal is to study a new class of hyperbolic functions that unite the characteristics of the classical hyperbolic functions and the recurring balancing and Lucas-balancing numbers. These functions are indeed the extension of Binet formulas for both balancing and Lucas-balancing numbers in continuous domain. Some identities concerning hyperbolic balancing and Lucas-balancing functions are also established. Further, a new class of square matrices, a generalization of balancing QB-matrices for continuous domain, is considered. These matrices indeed enable us to develop a cryptography method for secrecy purpose.
author	Ray,Prasanta Kumar
author_facet	Ray,Prasanta Kumar
author_sort	Ray,Prasanta Kumar
title	A cryptography method based on hyperbolicbalancing and Lucas-balancing functions
title_short	A cryptography method based on hyperbolicbalancing and Lucas-balancing functions
title_full	A cryptography method based on hyperbolicbalancing and Lucas-balancing functions
title_fullStr	A cryptography method based on hyperbolicbalancing and Lucas-balancing functions
title_full_unstemmed	A cryptography method based on hyperbolicbalancing and Lucas-balancing functions
title_sort	cryptography method based on hyperbolicbalancing and lucas-balancing functions
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2020
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000100135
work_keys_str_mv	AT rayprasantakumar acryptographymethodbasedonhyperbolicbalancingandlucasbalancingfunctions AT rayprasantakumar cryptographymethodbasedonhyperbolicbalancingandlucasbalancingfunctions
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A cryptography method based on hyperbolicbalancing and Lucas-balancing functions

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