Skip to main content
Log in

Cryptographically secure random number generator with chaotic additional input

  • Original Paper
  • Published:
Nonlinear Dynamics Aims and scope Submit manuscript

Abstract

Random number generators are an important tool for cryptographic applications. In cryptographic protocol, randomness is essential properties since inadequate source of randomness can be effect security of whole system. This paper describes requirements of a robust random generator and proposes hybrid architecture to realize these requirements. Security analysis shows that output of proposed generator looks random. Therefore, proposed generator is used for cryptographic solutions.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4

Similar content being viewed by others

References

  1. Menezes, A.J., Oorschot, P.C., Vanstone, S.A.: Handbook of Applied Cryptography. CRC Press, Boca Raton (1997)

    MATH  Google Scholar 

  2. Schindler, W.: Random number generators for cryptographic applications. In: Koc, C.K. (ed.) Cryptographic Engineering. Signals and Communication Theory. Springer, Berlin (2009)

    Google Scholar 

  3. Gauravaram, P., Knudsen, L.R., Matusievicz, K., Mendel, F., Rechberger, C., Schläffer, M., Thomsen, S.S.: Grøstl—a SHA-3 candidate. 31 Oct 2008. http://www.groestl.info/Groestl.pdf

  4. Stojanovski, T., Kocarev, L.: Chaos-based random number generators—Part I: Analysis. IEEE Trans. Circuits Syst. I Fundam. Theory Appl. 48, 281–288 (2001)

    Article  MathSciNet  MATH  Google Scholar 

  5. Wang, X., Qin, X.: A new pseudo-random number generator based on CML and chaotic iteration. Nonlinear Dyn. 70, 1589–1592 (2012)

    Article  MathSciNet  Google Scholar 

  6. Özkaynak, F., Yavuz, S.: Designing chaotic S-boxes based on time-delay chaotic system. Nonlinear Dyn. 74, 551–557 (2013)

    Article  Google Scholar 

  7. Farschi, S.M.R., Farschi, H.: A novel chaotic approach for information hiding in image. Nonlinear Dyn. 69, 1525–1539 (2012)

    Article  MathSciNet  Google Scholar 

  8. Wang, X., Bao, X.: A novel block cryptosystem based on the coupled chaotic map lattice. Nonlinear Dyn. 72, 707–715 (2013)

  9. Liu, N., Guo, D., Parr, G.: Complexity of chaotic binary sequence and precision of its numerical simulation. Nonlinear Dyn. 67, 549–556 (2012)

    Article  MathSciNet  Google Scholar 

  10. Gong, P., Li, P., Shi, W.: A secure chaotic maps-based key agreement protocol without using smart cards. Nonlinear Dyn. 70, 2401–2406 (2012)

    Article  MathSciNet  Google Scholar 

  11. Kocarev, L., Jakimoski, G.: Pseudorandom bits generated by chaotic maps. IEEE Trans. Circuits Syst. I Fundam. Theory Appl. 50, 123–126 (2003)

  12. Daemen, J., Rijmen, V.: The Design of Rijndael. Springer, Berlin (2002)

    Book  MATH  Google Scholar 

  13. Sprott, J.: Elegant Chaos Algebraically Simple Chaotic Flows. World Scientific, Singapore (2010)

    Book  MATH  Google Scholar 

  14. Rukhin, A., Soto, J., Nechvatal, J., Smid, M., Barker, E., Leigh, S., Levenson, M., Vangel, M., Banks, D., Heckert, A., Dray, J., Vo, S.: A statistical test suite for random and pseudorandom number generators for cryptographic applications . NIST Special Publication 800–22rev1a (2010)

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Fatih Özkaynak.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Özkaynak, F. Cryptographically secure random number generator with chaotic additional input. Nonlinear Dyn 78, 2015–2020 (2014). https://doi.org/10.1007/s11071-014-1591-y

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11071-014-1591-y

Keywords

Navigation