Encryption and Decryption Algorithm Using Balancing Numbers

Authors

  • G. Janaki PG & Research Department of Mathematics, Cauvery College for Women (Autonomous), Tiruchirappalli – 620 018, Tamil Nadu, India.
  • A. Gowri Shankari PG & Research Department of Mathematics, Cauvery College for Women (Autonomous), Tiruchirappalli – 620 018, Tamil Nadu, India.

DOI:

https://doi.org/10.9734/bpi/mono/978-81-967488-3-8/CH13

Keywords:

Balancing numbers, Encryption-decryption algorithm, Q1,m matrix, cryptography

Abstract

Cryptography is an interdisciplinary discipline with major practical applications. The complexity of particular mathematical computation tasks influences the security of a public-key cryptosystem. In this article, we introduced a new square matrix Q1,2  Q1,3 and Q1,4 whose elements are first three \(\mathit{k}\)-balancing numbers and developed new encryption and decryption procedures followed from Q1,m for m=2, 3 and 4. Since the transmission of sensitive information has become a more serious problem in recent years, encryption and decryption techniques have become essential in strengthening information security..

Published

2023-11-11

How to Cite

G. Janaki, & A. Gowri Shankari. (2023). Encryption and Decryption Algorithm Using Balancing Numbers. Explorations in Diophantine Equations, 109–117. https://doi.org/10.9734/bpi/mono/978-81-967488-3-8/CH13

Issue

Explorations in Diophantine Equations

Section

Contents