Study on Chaotic Cipher with Robustness and Its Characteristics

  • Takashi AraiEmail author
  • Yuta Kase
  • Hiroyuki Kamata
Conference paper
Part of the Communications in Computer and Information Science book series (CCIS, volume 946)


In this paper, we propose a robustness cryptosystem with a small amount of computation. By adopting a stream cipher not but block cipher like AES, the processing speed is improved. Furthermore, it has chaotic properties and improved randomness. Moreover, since an expression for synchronizing the encryption system and the decryption system is not used in the proposed method, even when a bit error occurs, it is correctly decrypted. In general, nonlinear signals such as chaotic map, Jacobian can be estimated from time series signals by Sano-Sawada method. In the chaotic cipher, the parameters in the expression are used as cryptography keys. Therefore, if Jacobian is a constant, the cryptographic key will be estimated. In the proposed system, we formulate the expression so that each element of Jacobian becomes time-variant as much as possible. Thereby the safety of the system is secured.


Cryptosystem Chaotic map Stream cipher 


  1. 1.
    Tsuruoka, Y., Nakasone, T., Kamiyama, K., Kamata, H.: The development of the chaotic block cipher. In: Proceeding to JSST 2015, pp. 125–128 (2015)Google Scholar
  2. 2.
    Abarbanel, H.D.I.: Analysis of Observed Chaotic Data. Springer, New York (1996). Scholar
  3. 3.
    Pecora, L.M., Carroll, T.L.: Synchronization in chaotic systems. Phys. Rev. Lett. 64(8), 821–824 (1990)MathSciNetCrossRefGoogle Scholar
  4. 4.
    Restituto, M.D., Ahumada, R.L., Vazquez, A.R.: Secure communication using CMOS current-mode sampled-data circuits. In: Proceedings of Nonlinear Dynamics of Electronics System, pp. 237–240 (1995)Google Scholar
  5. 5.
    Koh, T., Powers, E.J.: Second-order Volterra filtering and its application to nonlinear system identification. IEEE Trans. Acoust. Speech Sig. Process. 33(6), 1445–1455 (1985)CrossRefGoogle Scholar
  6. 6.
    Kawanishi, Y., Yoshida, D., Watanabe, H., Nakayama, A., Sato, T., Kamata, H.: Chaotic modem system using nonlinear map with simultaneous Volterra filter. In: Proceedings of JSST 2011, pp. 456–459 (2011)Google Scholar
  7. 7.
    Murphy, S.: The power of NIST’s statistical testing of AES candidates. In: The Third AES Candidate Conference (2000)Google Scholar
  8. 8.
    Sano, M., Sawada, Y.: Measurement of Lyapunov spectrum from a chaotic time series. Phys. Rev. Lett. 55(10), 1082–1085 (1985)MathSciNetCrossRefGoogle Scholar

Copyright information

© Springer Nature Singapore Pte Ltd. 2018

Authors and Affiliations

  1. 1.Graduate School of Science and TechnologyMeiji UniversityKawasakiJapan
  2. 2.School of Science and TechnologyMeiji UniversityKawasakiJapan

Personalised recommendations