Encryption Using Contractive Functions

Asha Rani^1, , Kumari Jyoti¹ and Naveen Kumar Antil²

¹Department of Mathematics, SRM University, Haryana, Sonepat- 131001, India

²CITD, Rakuten India, Bangalore- 560054, India

Cite this paper:
Asha Rani, Kumari Jyoti and Naveen Kumar Antil. Encryption Using Contractive Functions. American Journal of Educational Research. 2016; 4(13):931-936. doi: 10.12691/education-4-13-3

Abstract

In this paper we introduce a fresh encrypting strategy. Our encryption scheme is based on the concept of contractive functions in a Banach space. The algorithm uses two different concepts of mathematics: contraction principle, unique prime factorisation theorem. The mixture of these two concepts is beautiful and it promises a high level of security with an easy to learn mechanism.

Keywords:
encryptions contractive functions banach contractive principle unique factoriation theorem

This work is licensed under a Creative Commons Attribution 4.0 International License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

References:

[1]	W. Trappe, L.C. Washington, "Introduction to Cryptography with Coding Theory", Pearson Education International, Prentice Hall (Second Edition).
[2]	A. J. Menezes, P. C. van Oorschot, S. A. Vanstone "Handbook of Applied Cryptography", CRC Press, 1996, 816 pages.
[3]	S. Punnusamy, "Foundations of Functional Analysis", CRC Press, 2002, 457 pages.
[4]	Christiane Rousseau "Banach Fixed Point Theorem and Applications", Universite de Montreal, 2010.