The beta-transformation: a case study for chaos based cryptography
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 >...
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Malaysian Society for Cryptology Research
2009
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| Online Access: | http://psasir.upm.edu.my/id/eprint/17024/1/The%20beta-transformation%20a%20case%20study%20for%20chaos%20based%20cryptography.pdf http://psasir.upm.edu.my/id/eprint/17024/ http://www.mscr.org.my/ijcr_volumes1(2).htm |
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my.upm.eprints.170242017-04-11T06:01:00Z http://psasir.upm.edu.my/id/eprint/17024/ The beta-transformation: a case study for chaos based cryptography Kamel Ariffin, Muhammad Rezal Md Noorani, Mohd Salmi 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. Malaysian Society for Cryptology Research 2009 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/17024/1/The%20beta-transformation%20a%20case%20study%20for%20chaos%20based%20cryptography.pdf 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 http://www.mscr.org.my/ijcr_volumes1(2).htm |
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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. |
| format |
Article |
| author |
Kamel Ariffin, Muhammad Rezal Md Noorani, Mohd Salmi |
| spellingShingle |
Kamel Ariffin, Muhammad Rezal Md Noorani, Mohd Salmi The beta-transformation: a case study for chaos based cryptography |
| author_facet |
Kamel Ariffin, Muhammad Rezal Md Noorani, Mohd Salmi |
| author_sort |
Kamel Ariffin, Muhammad Rezal |
| title |
The beta-transformation: a case study for chaos based cryptography |
| title_short |
The beta-transformation: a case study for chaos based cryptography |
| title_full |
The beta-transformation: a case study for chaos based cryptography |
| title_fullStr |
The beta-transformation: a case study for chaos based cryptography |
| title_full_unstemmed |
The beta-transformation: a case study for chaos based cryptography |
| title_sort |
beta-transformation: a case study for chaos based cryptography |
| publisher |
Malaysian Society for Cryptology Research |
| publishDate |
2009 |
| url |
http://psasir.upm.edu.my/id/eprint/17024/1/The%20beta-transformation%20a%20case%20study%20for%20chaos%20based%20cryptography.pdf http://psasir.upm.edu.my/id/eprint/17024/ http://www.mscr.org.my/ijcr_volumes1(2).htm |
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1643826390001254400 |
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13.18916 |