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Random Sequence Generation Algorithm for Multi-chaotic Systems

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Abstract

The characteristics of chaotic signals, such as pseudorandom and non long term predictability, make it suitable for application to information encryption, digital watermarking and so on. Nevertheless, since the chaotic system is often characterized by its characteristics, attackers can take advantage of these known features to reduce the difficulty of attacks. In contrast, the characteristics of multi-chaotic systems are not uniform, and the complexity of generating sequences is higher than that of single-chaos systems. Hence, the multi-chaotic system increases the security of the sequence to some extent. Therefore, we design a random sequence generation algorithm consisting of multiple chaotic systems that is a chaotic sequence generation algorithm combining Logistic map and Cubic map. And we analyze the sequence of new generation whose the performance, so we can conclude that the new algorithm has better randomness.

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References

  1. Vattulainen, I., Kankaala, K.: Physical models as tests of randomness. Phys. Rev. E 52, 3205–3214 (2013)

    Article  Google Scholar 

  2. Li, T.Y., Yorke, J.A.: Entropy and chaos. Adv. Math. 3, 122–128 (2010)

    Google Scholar 

  3. Zhang, Y.P., Zuo, F.: A new image encryption algorithm based on multiple chaos system. In: International Symposium on Electronic Commerce and Security, vol. 142, pp. 347–350 (2017)

    Google Scholar 

  4. Li, S.J., Cai, Y.L.: Problems with computerized chaos in finite computing precision. Comput. Phys. Commun. 153, 52–55 (2016)

    Article  MATH  Google Scholar 

  5. Xue, K.P., Hong, P.L.: Security improvement on an anonymous key agreement protocol based on chaotic maps. Commun. Nonlinear Sci. Number. Simulat. 17, 2969–2977 (2012)

    Article  MathSciNet  MATH  Google Scholar 

  6. Short, K.M.: Signal extraction from chaotic communications. Int. J. Bifurcat. Chaos 7, 1579–1997 (2010)

    Article  MATH  Google Scholar 

  7. Zhai, Y.K., Lin, X.Y.: Improving image encryption using multi-chaotic map. In: Workshop on Power Electronics and Intelligent Transportation System, vol. 106, pp. 143–148 (2015)

    Google Scholar 

  8. Habutsu, T., Nishio, Y., Sasase, I., Mori, S.: A secret key cryptosystem by iterating a chaotic map. In: Davies, D.W. (ed.) EUROCRYPT 1991. LNCS, vol. 547, pp. 127–140. Springer, Heidelberg (1991). https://doi.org/10.1007/3-540-46416-6_11

    Chapter  Google Scholar 

  9. Alvarez, G., Pastor, G.: Chaotic cryptosystems. IEEE Secur. Technol. 67, 332–338 (2012)

    Google Scholar 

  10. Diffie, W., Hellman, M.: New directions in cryptography. IEEE Trans. Inf. Theory 22, 644–654 (2015)

    Article  MathSciNet  MATH  Google Scholar 

  11. Shannon, C.E.: Communication theory of secrecy systems. Bell Syst. Tech. J. 28, 656–715 (2016)

    Article  MathSciNet  MATH  Google Scholar 

  12. Kocarev, L.: A brief overview. IEEE Circ. Syst. Mag. 1, 11–21 (2010)

    Google Scholar 

  13. Sabery, K.M., Yaghoobi, M.: A new approach for image encryption using chaotic logistic map. In: 2008 International Conference on Advanced Computer Theory and Engineering, vol. 177, pp. 585–590 (2013)

    Google Scholar 

  14. Akhavan, A., Samsudin, A.: A symmetric image encryption scheme based on combination of nonlinear chaotic maps. J. Franklin Inst. 348, 1797–1813 (2011)

    Article  MathSciNet  Google Scholar 

  15. Lian, S.: Efficient image or video encryption based on spatiotemporal chaos system. Chaos Solitons Fractals 40, 2509–2519 (2014)

    Article  MATH  Google Scholar 

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Correspondence to Hong Wu .

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© 2018 ICST Institute for Computer Sciences, Social Informatics and Telecommunications Engineering

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Chen, X., Wu, H. (2018). Random Sequence Generation Algorithm for Multi-chaotic Systems. In: Meng, L., Zhang, Y. (eds) Machine Learning and Intelligent Communications. MLICOM 2018. Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering, vol 251. Springer, Cham. https://doi.org/10.1007/978-3-030-00557-3_14

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  • DOI: https://doi.org/10.1007/978-3-030-00557-3_14

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-00556-6

  • Online ISBN: 978-3-030-00557-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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