Some application of difference equations in Cryptography and Coding Theory

ABSTRACT

In this paper, we present some applications of a difference equation of degree k. Using such an equation, we provide an algorithm for messages encryption and decryption. Moreover, by using the matrix associated to a difference equation of degree k, we present an application in Coding Theory.

KEYWORDS:

• Fibonacci numbers
• difference equations
• encrypting and decrypting
• coding and decoding

2010 AMS SUBJECT CLASSIFICATIONS:

• 11B39
• 94Bxx

Acknowledgments

The author would like to thank the editors and the referees for their suggestions and remarks, which helped improve this paper.

Disclosure statement

No potential conflict of interest was reported by the author.