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Trident, a New Pseudo Random Number Generator Based on Coupled Chaotic Maps

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Part of the book series: Advances in Intelligent and Soft Computing ((AINSC,volume 85))

Abstract

This article describes a new family of cryptographically secure pseudorandom number generators, based on coupled chaotic maps, that will serve as keystream in a stream cipher. The maps are a modification of a piecewise linear map, by dynamic changing of the coefficient values and perturbing its lesser significant bits.

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References

  1. Klein, A.: Attacks on the RC4 stream cipher. Design. Code. Cryptogr. 48(3), 269–286 (2008)

    Article  MATH  Google Scholar 

  2. Goldberg, I., Wagner, I.: Randomness and the Netscape browser. Dr. Dobb’s Journal, 66–70 (1996)

    Google Scholar 

  3. Gutterman, Z., Pinkas, B., Reinman, T.: Analysis of the Linux Random Number Generator. In: Proceedings of the 2006 IEEE Symposium on Security and Privacy, pp. 371–385 (2006)

    Google Scholar 

  4. Dorrendorf, L., Gutterman, Z., Pinkas, B.: Cryptanalysis of the random number generator of the Windows operating system. ACM T. Inform. System 13(1), 10:1–10:32 (2009)

    Google Scholar 

  5. Blum, L., Blum, M., Shub, M.: A simple unpredictable pseudo-random number generator. SIAM J. Comput. 15, 364–383 (1986)

    Article  MATH  MathSciNet  Google Scholar 

  6. Alvarez, G., Montoya, F., Romera, M., Pastor, G.: Cryptanalysis of a chaotic encryption system. Phys. Lett. A 276(1-4), 191–196 (2000)

    Article  MATH  MathSciNet  Google Scholar 

  7. Alvarez, G., Li, S.: Some basic cryptographic requirements for chaos-based cryptosystems. Int. J. Bifurcat. Chaos 16(8), 2129–2151 (2006)

    Article  MATH  MathSciNet  Google Scholar 

  8. Orue, A.B., et al.: Determination of the parameters for a Lorenz system and application to break the security of two-channel chaotic cryptosystems. Phys. Lett. A 372, 5588–5592 (2008)

    Article  Google Scholar 

  9. Knuth, D.E.: The Art of Computer Programming, 3rd edn. Seminumerical Algorithms, vol. 2. Addison-Wesley, Reading (1997)

    Google Scholar 

  10. Bellare, M., Goldwasser, S., Micciancio, D.: Pseudo-random number generation within cryptographic algorithms: The dds case. In: Kaliski Jr., B.S. (ed.) CRYPTO 1997. LNCS, vol. 1294, pp. 277–291. Springer, Heidelberg (1997)

    Google Scholar 

  11. Rukhin, A., et al.: A Statistical Test Suite for Random and Pseudorandom Number Generators for Cryptographic Applications revision, 1st edn. National Institute of Standards and Technology (NIST), U.S. Department of Commerce (2008)

    Google Scholar 

  12. Marsaglia, G., Tsang, W.W.: Some difficult-to-pass tests of randomness. J. Stat. Softw. 7(3), 1–9 (2002)

    Google Scholar 

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© 2010 Springer-Verlag Berlin Heidelberg

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López, A.B.O., Marañon, G.Á., Estévez, A.G., Dégano, G.P., García, M.R., Vitini, F.M. (2010). Trident, a New Pseudo Random Number Generator Based on Coupled Chaotic Maps. In: Herrero, Á., Corchado, E., Redondo, C., Alonso, Á. (eds) Computational Intelligence in Security for Information Systems 2010. Advances in Intelligent and Soft Computing, vol 85. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-16626-6_20

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  • DOI: https://doi.org/10.1007/978-3-642-16626-6_20

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-16625-9

  • Online ISBN: 978-3-642-16626-6

  • eBook Packages: EngineeringEngineering (R0)

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