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A Technique for Designing Substitution Box Based on Van der Pol Oscillator

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Abstract

Chaos is the impromptu behavior exhibited by some nonlinear dynamical systems and has been applied extensively in secure communication over the last decade. In this paper, the chaotic behavior of Van der Pol oscillator is studied and proposed a method to generate Substitution Box (S-box) from it. The generated S-box have some good statistical properties such as PSNR, MSE, correlation, energy, Homogeneity, entropy and contrast. The performance of proposed S-box is compared with other S-boxes like AES, gray, APA, Lui J and S8 to show the strength of anticipated technique.

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References

  1. Anees, A. (2014). Design of security systems based upon nonlinear dynamics. MS Thesis, MIlitary College of Signals, NUST.

  2. Anees, A., Siddiqui, A. M., & Ahmed, F. (2014). Chaotic substitution for highly autocorrelated data in encryption algorithm. Communications in Nonlinear Science and Numerical Simulations, 19(9), 3106–3118.

  3. Daemen, J., & Rijmen, V. (2002). The design of Rijndael: AES–the advanced encryption standard. Springer, Berlin.

  4. Tran, M. T., Bui, D. K., & Doung, A. D. (1998). Gray S-box for advanced encryption standard. In International Conference on Computational Intelligence and Security, pp. 253–256.

  5. Cui, L., & Cao, Y. (2007). A new S-box structure named Affine- Power-Affine. International Journal of Innovative Computing, Information and Control, 3(3), 45–53.

    Google Scholar 

  6. Lui, J., Wai, B., Cheng, X., & Wang, X. (2005). An AES S-box to increase complexity and cryptgraphic analysis. International Conference on Advanced Information Networking and Applications, 1, 724–728.

    Google Scholar 

  7. Hussain, I., Shah, T., & Mehmood, H. (2010). A new algorithm to construct secure keys for AES. International Journal of Contemporary Mathematical Sciences, 5(26), 1263–1270.

    MATH  MathSciNet  Google Scholar 

  8. Cartwright, M. L. (1960). Balthazar van der Pol. Journal of the London Mathematical Society, 35, 367–376.

    Article  MATH  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Department of Electrical Engineering, HITEC University, Taxila, Pakistan

    Amir Anees & Zeeshan Ahmed

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  1. Amir Anees
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  2. Zeeshan Ahmed
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Correspondence to Amir Anees.

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Anees, A., Ahmed, Z. A Technique for Designing Substitution Box Based on Van der Pol Oscillator. Wireless Pers Commun 82, 1497–1503 (2015). https://doi.org/10.1007/s11277-015-2295-4

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  • DOI: https://doi.org/10.1007/s11277-015-2295-4

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