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The beta-transformation: a case study for chaos based cryptography

Kamel Ariffin, Muhammad Rezal and Md Noorani, Mohd Salmi (2009) The beta-transformation: a case study for chaos based cryptography. International Journal of Cryptology Research, 1 (2). pp. 205-214. ISSN 1985-5753

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Official URL: http://www.mscr.org.my/ijcr_volumes1(2).htm

Abstract

In this paper we study characteristics of the beta-transformation and its suitability as a candidate for implementation as a symmetric cryptosystem. For β > 1 the betatransformation is given by fβ (x) = βx(mod1) and x ∈ [0, 1]. It is well known that its Lyapunov exponent is λ = logβ. Since λ > 0 it ensures that the beta-transformation is a non-linear chaotic system. Finally, we will also attempt to build a discrete version of the beta-transformation.

Item Type:Article
Keyword:Beta transform; Chaos cryptography
Faculty or Institute:Faculty of Science
Institute for Mathematical Research
Publisher:Malaysian Society for Cryptology Research
ID Code:17024
Deposited By: Najwani Amir Sariffudin
Deposited On:14 Aug 2012 13:58
Last Modified:11 Apr 2017 14:01

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