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Designing key-dependent chaotic S-box with larger key space

Author

Listed:
  • Yin, Ruming
  • Yuan, Jian
  • Wang, Jian
  • Shan, Xiuming
  • Wang, Xiqin

Abstract

The construction of cryptographically strong substitution boxes (S-boxes) is an important concern in designing secure cryptosystems. The key-dependent S-boxes designed using chaotic maps have received increasing attention in recent years. However, the key space of such S-boxes does not seem to be sufficiently large due to the limited parameter range of discretized chaotic maps. In this paper, we propose a new key-dependent S-box based on the iteration of continuous chaotic maps. We explore the continuous-valued state space of chaotic systems, and devise the discrete mapping between the input and the output of the S-box. A key-dependent S-box is constructed with the logistic map in this paper. We show that its key space could be much larger than the current key-dependent chaotic S-boxes.

Suggested Citation

  • Yin, Ruming & Yuan, Jian & Wang, Jian & Shan, Xiuming & Wang, Xiqin, 2009. "Designing key-dependent chaotic S-box with larger key space," Chaos, Solitons & Fractals, Elsevier, vol. 42(4), pages 2582-2589.
    • Handle: RePEc:eee:chsofr:v:42:y:2009:i:4:p:2582-2589
    DOI: 10.1016/j.chaos.2009.03.201
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    References listed on IDEAS

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    1. Tang, Guoping & Liao, Xiaofeng, 2005. "A method for designing dynamical S-boxes based on discretized chaotic map," Chaos, Solitons & Fractals, Elsevier, vol. 23(5), pages 1901-1909.
    2. Chen, Guo & Chen, Yong & Liao, Xiaofeng, 2007. "An extended method for obtaining S-boxes based on three-dimensional chaotic Baker maps," Chaos, Solitons & Fractals, Elsevier, vol. 31(3), pages 571-579.
    3. Chen, Guo, 2008. "A novel heuristic method for obtaining S-boxes," Chaos, Solitons & Fractals, Elsevier, vol. 36(4), pages 1028-1036.
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    Cited by:

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    2. Lambić, Dragan, 2014. "A novel method of S-box design based on chaotic map and composition method," Chaos, Solitons & Fractals, Elsevier, vol. 58(C), pages 16-21.

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