Encryption and Decryption Algorithm Using Balancing Numbers | Chapter 13 | Explorations in Diophantine Equations

 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 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.

Author(s) Details:

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.

Please see the link here: https://stm.bookpi.org/EDE/article/view/12440