American Journal of Educational Research
ISSN (Print): 2327-6126 ISSN (Online): 2327-6150 Website: http://www.sciepub.com/journal/education Editor-in-chief: Ratko Pavlović
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American Journal of Educational Research. 2016, 4(13), 931-936
DOI: 10.12691/education-4-13-3
Open AccessArticle

Encryption Using Contractive Functions

Asha Rani1, , Kumari Jyoti1 and Naveen Kumar Antil2

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

2CITD, Rakuten India, Bangalore- 560054, India

Pub. Date: October 14, 2016

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

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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.