A cryptography method based on hyperbolic balancing and Lucas-balancing functions





Balancing numbers, Lucas-balancing numbers, Hyperbolic balancing functions, Hyperbolic Lucas-balancing functions, Cryptography


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 Biography

Prasanta Kumar Ray, Sambalpur University.

School of Mathematical Sciences.


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How to Cite

P. K. Ray, “A cryptography method based on hyperbolic balancing and Lucas-balancing functions”, Proyecciones (Antofagasta, On line), vol. 39, no. 1, pp. 135-152, Feb. 2020.