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A Random Bit Generator Using Rössler Chaotic System

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Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 335))

Abstract

In this paper, a random bit generator is proposed which utilizes the chaotic nature of a Rossler System. The generator is modelled and the generated random sequence is tested using statistical tests like autocorrelation test, runs test and monobit test. The sequence shows a high degree of randomness, besides being simple for real-world implementation.

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References

  1. M.E. Yalcin, J.A.K. Suykens, J. Vandewalle, A double scroll based true random bit generator, in Proceedings of the 2004 International Symposium on Circuits and Systems, 2004. ISCAS’04, vol. 4. IEEE (2004)

    Google Scholar 

  2. X. Wang, C. Yu, Cryptanalysis and improvement on a cryptosystem based on a chaotic map. Comput. Math. Appl. 57(3), 476–482 (2009)

    Google Scholar 

  3. N.K. Pareek, V. Patidar, K.K. Sud, A random bit generator using chaotic maps. Int. J. Netw. Secur. 10(1), 32–38 (2010)

    Google Scholar 

  4. A.J. Menezes, P.C. Van Oorschot, S.A. Vanstone, Handbook of Applied Cryptography (CRC press, New York, 2010)

    Google Scholar 

  5. T. Stojanovski, L. Kocarev, Chaos-based random number generators-part I: analysis [cryptography]. IEEE Trans. Circuits Syst. I: Fundam. Theor. Appl. 48(3):281–288 (2001)

    Google Scholar 

  6. G. Alvarez, S. Li, Some basic cryptographic requirements for chaos-based cryptosystems. Int. J. Bifurcat. Chaos 16(08), 2129–2151 (2006)

    Article  MATH  MathSciNet  Google Scholar 

  7. H.P. Hu, L.F. Liu, N.D. Ding, Pseudorandom sequence generator based on the Chen chaotic system. Comput. Phys. Commun. 184(3), 765–768 (2013)

    Google Scholar 

  8. A.-C. Dsscslescu, R.E. Boriga, A.-V. Diaconu, Study of a new chaotic dynamical system and its usage in a novel pseudorandom bit generator. Math Probl Eng (2013)

    Google Scholar 

  9. A.B.O. López et al., Trident, a New Pseudo Random Number Generator Based on Coupled Chaotic Maps. Computational Intelligence in Security for Information Systems 2010 (Springer, Berlin, 2010) pp. 183–190

    Google Scholar 

  10. M. Francois, T. Grosges, D. Barchiesi, R. Erra, A new pseudo-random number generator based on two chaotic maps. Informatica 24(2), 181–197 (2013)

    Google Scholar 

  11. X. Wang, X. Qin, L. Teng, A novel true random number generator based on mouse movement and a one-dimensional chaotic map. Math. Probl. Eng. (2012)

    Google Scholar 

  12. W. Yu, G. Bai. A novel random number generator based on continuous-time chaos, in 2010 2nd IEEE International Conference on Network Infrastructure and Digital Content. IEEE (2010)

    Google Scholar 

  13. L. Merah, A. Ali-Pacha, N.H. Said, M. Mamat, A pseudo random number generator based on the chaotic system of Chua’s circuit, and its real time FPGA implementation. Appl. Math. Sci. 7(55), 2719–2734 (2013)

    MathSciNet  Google Scholar 

  14. P. Gaspard, Rössler systems. Encyclopedia of Nonlinear Science, pp. 808–811 (2005)

    Google Scholar 

  15. D.E. Knuth, The Art of Computer Programming, vol. 2 (Addison-Wesley, Reading, Mass, 1969)

    MATH  Google Scholar 

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Correspondence to Chayan Banerjee .

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Banerjee, C., Datta, D., Datta, D. (2015). A Random Bit Generator Using Rössler Chaotic System. In: Maharatna, K., Dalapati, G., Banerjee, P., Mallick, A., Mukherjee, M. (eds) Computational Advancement in Communication Circuits and Systems. Lecture Notes in Electrical Engineering, vol 335. Springer, New Delhi. https://doi.org/10.1007/978-81-322-2274-3_10

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  • DOI: https://doi.org/10.1007/978-81-322-2274-3_10

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  • Publisher Name: Springer, New Delhi

  • Print ISBN: 978-81-322-2273-6

  • Online ISBN: 978-81-322-2274-3

  • eBook Packages: EngineeringEngineering (R0)

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