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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| Langue: | English |
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Universidad Católica del Norte, Departamento de Matemáticas
2020
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| Accès en ligne: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000100135 |
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| Résumé: | 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. |
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