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A New Encryption Approach Based on Four-Square and Zigzag Encryption (C4CZ)

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Embedded Systems and Artificial Intelligence

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1076))

Abstract

With the evolution and the development of data-processing tools and their pervasive scopes of applications, the need for data protection today has become a crucial necessity in order to reduce the number of incidents caused by non-authorized data accesses and to prevent malicious usage. With the purpose of maintaining a significantly high level of security, cryptography englobes the entirety of methods as well as a couple of techniques and tools aimed to assure data confidentiality. Indeed, this work’s main focus is a new approach based on a four-square encryption accompanied by a zigzag transformation. This approach allows us to provide the appropriate settings for the four-square technique and the new conception of a transformation that manages future plans. These last are immune to brute attacks and statistic attacks. Considering all of that, this exhaustive study will emphasize the reliability of this approach.

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References

  1. Tong, X., Cui, M., Wang, Z.: A new feedback image encryption scheme based on perturbation with dynamical compound chaotic sequence cipher generator. J. Opt. Commun. 282, 2722–2728 (2009)

    Article  Google Scholar 

  2. Borujeni, S.E., Eshghi, M.: Chaotic image encryption system using phase-magnitude transformation and pixel substitution. J. Telecommun. Syst. (2011)

    Google Scholar 

  3. Wang, X.Y., Guo, K.: A new image alternate encryption algorithm based on chaotic map. Nonlinear Dyn. 76, 1943–1950 (2014)

    Article  Google Scholar 

  4. Hua, Z.Y., Zhou, Y.C., Pun, C.M., Philip Chen, C.L.: 2D Sine logistic modulation map for image encryption. Inf. Sci. 297, 80–94 (2015)

    Article  Google Scholar 

  5. Tong, X.G., Wang, Z., Zhang, M., Liu, Y., Xu, H., Ma, J.: An image encryption algorithm based on the perturbed high-dimensional chaotic map. Nonlinear Dyn. 80, 1493–1508 (2015)

    Article  MathSciNet  Google Scholar 

  6. Zhu, C.: A novel image encryption scheme based on improved hyperchaotic sequences. J. Opt. Commun. 285, 29–37 (2012)

    Article  Google Scholar 

  7. Es-Sabry, M., El Akkad, N., Merras, M., Saaidi, A., Satori, K.H.: A novel text encryption algorithm based on the two-square cipher and Caesar cipher, pp. 78–88 (2018)

    Google Scholar 

  8. Ling, C., Wu, X., Sun, S.: A general efficient method for chaotic signal estimation. IEEE Trans. Signal Process. 47, 1424–1428 (1999)

    Google Scholar 

  9. Wu, X., Hu, H., Zhang, B.: Parameter estimation only from the symbolic sequences generated by chaos system. Chaos Solitons Fractals 22, 359–366 (2004)

    Google Scholar 

  10. Skrobek, A.: Cryptanalysis of chaotic stream cipher. Phys. Lett. A 363, 84–90 (2007)

    Google Scholar 

  11. Patidar, V., Pareek, N., Sud, K.: Communications in nonlinear science and numerical simulation 14, 3056 (2009)

    Google Scholar 

  12. Parvaz, R., Zarebnia, M.: A combination chaotic system and application in color image encryption. Optics Laser Technol. 101, 30–41 (2018)

    Google Scholar 

  13. Norouzi, B., et al.: A novel image encryption based on hash function with only two-round diffusion process. Multimedia Syst. (2013)

    Google Scholar 

  14. Weidenmuller, H.A., Mitchell, G.E.: Random matrices and chaos in nuclear physics: nuclear structure. Rev. Mod. Phys. 81(2), 539–589 (2009)

    Article  Google Scholar 

  15. Lu, L., Luan, L., Meng, L., Li, C.R.: Study on spatiotemporal chaos tracking synchronization of a class of complex network. Nonlinear Dyn. 70(1), 89–95 (2012)

    Article  MathSciNet  Google Scholar 

  16. Lesne, A.: Chaos in biology. Riv. Biol. 99(3), 467–481 (2006)

    Google Scholar 

  17. Liu, C.X., Lu, J.J.: A novel fractional-order hyperchaotic system and its circuit realization. Int. J. Mod. Phys. B 24(10), 1299–1307 (2010)

    Google Scholar 

  18. Hilborn, R.C.: Chaos and nonlinear dynamics: an introduction for scientists and engineers, 2nd edn. Oxford University Press, USA (2001)

    MATH  Google Scholar 

  19. Arroyo, D., Rhouma, R., Alvarez, G., Li, S., Fernandez, V.: On the security of a new image encryption scheme based on chaotic map lattices. Chaos Interdiscip. J. Nonlinear Sci. 18 (2008)

    Google Scholar 

  20. Hayat, U., Azam, N.A.: A novel image encryption scheme based on an elliptic curve. Signal Process. 155, 391–402 (2019)

    Google Scholar 

  21. Koppula, V., Waters, B.: Realizing chosen ciphertext security generically in attribute-based encryption and predicate encryption. In: IACR Cryptology ePrint Archive, p. 847 (2018)

    Google Scholar 

  22. Håstad, J.: Solving simultaneous modular equations of low degree. SIAM J. Comput. 17(2), 336–341 (1988)

    Google Scholar 

  23. Goldwasser, S., Micali, S.: Probabilistic encryption. J. Comput. Syst. Sci. 28, 270–299 (1984)

    Article  MathSciNet  Google Scholar 

  24. Es-sabry, M., El Akkad, N., Merras, M., Saaidi, A., Satori, K.: Grayscale image encryption using shift bits operations. In: International Conference on Intelligent Systems and Computer Vision, ISCV (2018)

    Google Scholar 

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Correspondence to Fouzia Elazzaby .

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Elazzaby, F., El Akkad, N., Kabbaj, S. (2020). A New Encryption Approach Based on Four-Square and Zigzag Encryption (C4CZ). In: Bhateja, V., Satapathy, S., Satori, H. (eds) Embedded Systems and Artificial Intelligence. Advances in Intelligent Systems and Computing, vol 1076. Springer, Singapore. https://doi.org/10.1007/978-981-15-0947-6_56

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