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Construction of Nonlinear Component for Block Cipher Based on One-Dimensional Chaotic Map

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3D Research

Abstract

In this paper we have developed a new technique for the construction of 16 × 16 secure substitution box based on chaotic system based pseudo random bit generator. The result of majority logic criterion shows that the proposed substitution box is invulnerable against any kind of statistical attacks.

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References

  1. Hussain, I., Azam, N. A., & Shah, T. (2014). Stego optical encryption based on chaotic S-box transformation. Optics & Laser Technology, 61, 50–56.

    Article  Google Scholar 

  2. Hussain, I., Shah, T., & Gondal, M. A. (2013). Application of S-box and chaotic map for image encryption. Mathematical and Computer Modelling, 57(9–10), 2576–2579.

    Article  MATH  Google Scholar 

  3. Hussain, I. (2013). A novel approach of audio watermarking based on S-box transformation. Mathematical and Computer Modelling, 57(3–4), 963–969.

    Article  Google Scholar 

  4. Hussain, I., Shah, T., Gondal, M. A., & Muhammad, H. (2013). Mahmood A novel method for designing nonlinear component for block cipher based on TD-ERCS chaotic sequence. Nonlinear Dynamics, 73, 633–637.

    Article  MathSciNet  Google Scholar 

  5. Hussain, I., Shah, T., Gondal, M. A., & Muhammad, H. (2013). Mahmood A novel image encryption algorithm based on chaotic maps and GF(2^8) exponent transformation. Nonlinear Dynamics, 72, 399–406.

    Article  MathSciNet  Google Scholar 

  6. Anees, A., Siddiqui, A. M., Ahmed, J., & Hussain, I. (2014). A technique for digital steganography using chaotic maps. Nonlinear Dynamics, 75, 807–816.

    Article  Google Scholar 

  7. Jamal, S. S., Shah, T., & Hussain, I. (2013). An efficient scheme for digital watermarking using chaotic map. Nonlinear Dynamics, 73, 1469–1474.

    Article  MathSciNet  Google Scholar 

  8. Hussain, I., Shah, T., Gondal, M. A., & Muhammad, H. (2013). An efficient approach for the construction of LFT S-boxes using chaotic logistic map. Nonlinear Dynamics, 71, 133–140.

    Article  MathSciNet  Google Scholar 

  9. Hussain, I., Shah, T., Gondal, M. A., & Muhammad, H. (2013). Efficient method for designing chaotic S-boxes based on generalized Baker’s map and TDERC chaotic sequence. Nonlinear Dynamics, 74, 271–275.

    Article  MathSciNet  Google Scholar 

  10. Hussain, I., & Gondal, M. A. (2014). An extended image encryption using chaotic coupled map and S-box transformation. Nonlinear Dynamics. doi:10.1007/s11071-013-1214-z.

  11. Hussain, I., Shah, T., & Gondal, M. A. (2013). A group theoretic approach to construct cryptographically strong substitution boxes. Neural Computing and Applications, 23, 97–104.

    Article  Google Scholar 

  12. Hussain, I., Shah, T., & Mahmood, H. (2013). A projective general linear group based algorithm for the construction of substitution box for block ciphers. Neural Computing and Applications, 22, 1085–1093.

    Article  Google Scholar 

  13. Hussain, I., & Shah, T. (2013). Literature survey on nonlinear components and chaotic nonlinear components of block ciphers. Nonlinear Dynamics, 74, 869–904.

    Article  MATH  MathSciNet  Google Scholar 

  14. Waqar, A. A., Muhammad, A. K., Gondal, A., & Hussain, I. (2013). Application of mean of absolute deviation method for the selection of best nonlinear component based on video encryption. Zeitschrift für Naturforschung, 68a, 567–572.

    Google Scholar 

  15. Shah, T., Qamar, A., & Hussain, I. (2013). Substitution box on maximal cyclic subgroup of units of a galois ring. Zeitschrift für Naturforschung, 68, 479–482.

    Google Scholar 

  16. Gondal, M. A., & Anees, A. (2013). Analysis of optimized signal processing algorithms for smart antenna systems. Neural Computing and Applications, 23(3–4), 1083–1087.

    Article  Google Scholar 

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

    Article  MathSciNet  Google Scholar 

  18. Ahmed, F., Amir, A., & Siyal, M. Y. (2014). A noise channel tolerant image encryption scheme. Wireless Personal Communications,. doi:10.1007/s11277-014-1667-5.

    Google Scholar 

  19. Schneider, B. (1996). Applied cryptology: pmtocols algorithms; and source code in C. New York: Wiley.

    Google Scholar 

  20. Webster, A.P. & Tavares, S.E. (1986). On the design of S-boxes. Advances in cryptology: Proceedings of CRYPT0 ‘85 (pp. 523–534). Berlin: Springer.

  21. Parker, Andrew T., & Short, Kevin M. (2001). Reconstructing the key stream from a chaotic encryption scheme. IEEE Transactions on Circuits and Systems I, 48(5), 104–112.

    Article  MathSciNet  Google Scholar 

  22. MJ Ogorzakk and Hewe Dedieu. (1998). Some tools for attacking secure communication systems employing chaotic carriers. IEEE International Symposium on Circuits and Systems, 98(4), 522–525.

    Google Scholar 

  23. Li, Sh, Mou, X., & Cai, Y. (2001). Pseudo-random bit generator based on couple chaotic systems and its applications in stream-cipher cryptography (Vol. 2247, pp. 316–329). Berlin: MDOCRYPT 2001 LNCS, Springer.

    Google Scholar 

  24. Zhou, H., & Ling, X.-T. (1997). Problems with the chaotic inverse system encryption approach. IEEE International Symposium on Circuits and Systems I, 44(3), 268–271.

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics and Sciences, Dhofar University, Salalah, Oman

    Muhammad Asif Gondal

  2. Department of Computer Science and Information Technology, La Trobe University, Melbourne, Australia

    Amir Anees

Authors
  1. Amir Anees
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  2. Muhammad Asif Gondal
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Correspondence to Amir Anees.

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Anees, A., Gondal, M.A. Construction of Nonlinear Component for Block Cipher Based on One-Dimensional Chaotic Map. 3D Res 6, 17 (2015). https://doi.org/10.1007/s13319-015-0049-4

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  • DOI: https://doi.org/10.1007/s13319-015-0049-4

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