A chaos-based random number generator for eight-bit micro-controller system

International Journal of Bifurcation and Chaos

Volumn 18, Issue 3, 2008, Pages 851-867

  Tang, K W ^a   Kwok, H S ^a   Tang, Wallace K S ^a   Man, K F ^a  

^a CITY UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

High dimensional chaotic map; Modified Chua's circuit; Random number generator

Indexed keywords

CHAOTIC SYSTEMS; MICROCONTROLLERS; NUMBER THEORY;

CHAOTIC MAP; CONSTRAINED SYSTEMS; CONSUMER MARKET; HIGH-DIMENSIONAL; MICROCONTROLLER SYSTEMS; MODIFIED CHUA'S CIRCUITS; PRACTICAL SOLUTIONS; RANDOM NUMBER GENERATORS;

RANDOM NUMBER GENERATION;

EID: 45149098707     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127408020719     Document Type: Article

References (20)

1. Addabbo, T., Alioto, M., Fort, A., Rocchi, S. & Vignoli, V. [2005] "Long period pseudo random bit generators derived from a discretized chaotic map," IEEE Int. Symp. Circuits and Systems 2, 892-895.
2. Addabbo, T., Alioto, M., Fort, A., Rocchi, S. & Vignoli, V. [2006] "A feedback strategy to improve the entropy of a chaos-based random bit generator," IEEE Circuits Syst.-I: Regular Papers 53, 326-337.
3. Donoghue, K. O., Kennedy, M. P., Forbes, P., Wu, M. & Jones, S. [2005] "A fast and simple implementation of Chua's oscillator with cubic-like nonlinearity," Int. J. Bifurcation and Chaos 15, 2959-2971.
4. Knuth, D. E. [1997] The Art of Computer Programming: Seminumerical Algorithm (Addison-Wesley).
5. Kocarev, L. [2001] "Chaos-based cryptography: A brief overview," IEEE Circuits Syst. Mag. 1, 6-21.
6. Kohda, T., Tsuneda, A. & Sakae, T. [1992] "Chaotic binary sequences by Chebyshev maps and their correlation properties," IEEE Second Int. Symp. Spread Spectrum Techniques and Applications, pp. 63-66.
7. Kohda, T. & Tsuneda, A. [1993] "Pseudonoise sequences by chaotic nonlinear maps and their correlation properties," IEICE Trans. Commun. E76-B, 855-862.
8. Kwok, H. S. & Tang, W. K. S. [2005] "A chaos-based cryptographic hash function for message authentication," Int. J. Bifurcation and Chaos 15, 4043-4050.
9. Kwok, H. S. & Tang, W. K. S. [2007] "A fast image encryption system based on chaotic maps with finite precision representation," Chaos Solit. Fract. 32, 1518-1529.
10. Lasota, A. [1994] Chaos, Fractals , and Noise: Stochastic Aspects of Dynamics (Spinger-Verlag).
11. Li, S., Li, Q., Li, W., Mou, X. & Cai, Y. [2001] "Statistical properties of digital piecewise linear chaotic maps and their roles in cryptography and pseudorandom coding," Proc. IMA Int. Conf. Cryptography and Coding, pp. 205-221.
12. Li, S., Mou, X. & Cai, Y. [2001] "Pseudo-random bit generator based on couple chaotic systems and its applications in stream-cipher cryptography," Progr. Cryptol., LNCS 2247, 316-329.
13. National Institute of Standards and Technology [2005] NIST Statistical Test Suite, http://csrc.nist.gov/rng/ sts-1.8.zip.
14. NIST [2001] "Security requirements for cryptographic modules," Federal Information Processing Standards 140-2.
15. Phatak, S. C. & Suresh Rao, S. [1995] "Logistic map: A possible random number generator," Phys. Rev. E 51, 3670-3678.
16. Rukhin, A., Soto, J., Nechvatal, J., Smid, M., Barker, E., Leigh, S., Levenson, M., Vangel, M., Banks, D., Heckert, A., Dray, J. & Vo, S. [2001] "A statistical test suite for random and pseudorandom number generators for cryptographic applications," NIST Special Publication 800-22, http://csrc.nist.gov/rng/SP800-22b.pdf.
17. Snedecor, G. W. & Cochran, W. G. [1989] Statistical Methods, Eighth Edition (Iowa State University Press).
18. Yang, J., Lee, M. H. & Jiang, M. [2002] "Optimal over sampled chaotic map binary sequences for CDMA," IEEE Int. Symp. Circuits and Systems 2, 289-291.
19. Zhao, H. & Wang, H. [2002] "Oversampled chaotic binary sequences with good security," J. Circuits Syst. Comput. 11, 173-185.
20. Zhong, G. Q. [1994] "Implementation of Chuas circuit with a cubic nonlinearity," IEEE Trans. Circuit Syst.-I 41, 934-941.3