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All Journal ComEngApp : Computer Engineering and Applications Journal
Chidananda Pratihary
Department of Mathematics, National Institute of Technology, Rourkela
Computer Science & IT Engineering

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Balancing and Lucas-Balancing Numbers and their Application to Cryptography Sujata Swain; Chidananda Pratihary; Prasanta Kumar Ray
Computer Engineering and Applications Journal Vol 5 No 1 (2016)
Publisher : Universitas Sriwijaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (398.038 KB) | DOI: 10.18495/comengapp.v5i1.46

Abstract

It is well known that, a recursive relation for the sequence  is an equation that relates  to certain of its preceding terms . Initial conditions for the sequence  are explicitly given values for a finite number of the terms of the sequence. The recurrence relation is useful in certain counting problems like Fibonacci numbers, Lucas numbers, balancing numbers, Lucas-balancing numbers etc. In this study, we use the recurrence relations for both balancing and Lucas-balancing numbers and examine their application to cryptography.
Co-Authors Prasanta Kumar Ray Sujata Swain