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Encryption Using Contractive Functions

Asha Rani1,, Kumari Jyoti1, Naveen Kumar Antil2

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

2CITD, Rakuten India, Bangalore- 560054, India

American Journal of Educational Research. 2016, 4(13), 931-936. DOI: 10.12691/education-4-13-3
Published online: August 25, 2017

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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[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.