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A novel algorithm for image encryption based on mixture of chaotic maps

Author

Listed:
  • Behnia, S.
  • Akhshani, A.
  • Mahmodi, H.
  • Akhavan, A.

Abstract

Chaos-based encryption appeared recently in the early 1990s as an original application of nonlinear dynamics in the chaotic regime. In this paper, an implementation of digital image encryption scheme based on the mixture of chaotic systems is reported. The chaotic cryptography technique used in this paper is a symmetric key cryptography. In this algorithm, a typical coupled map was mixed with a one-dimensional chaotic map and used for high degree security image encryption while its speed is acceptable. The proposed algorithm is described in detail, along with its security analysis and implementation. The experimental results based on mixture of chaotic maps approves the effectiveness of the proposed method and the implementation of the algorithm. This mixture application of chaotic maps shows advantages of large key space and high-level security. The ciphertext generated by this method is the same size as the plaintext and is suitable for practical use in the secure transmission of confidential information over the Internet.

Suggested Citation

  • Behnia, S. & Akhshani, A. & Mahmodi, H. & Akhavan, A., 2008. "A novel algorithm for image encryption based on mixture of chaotic maps," Chaos, Solitons & Fractals, Elsevier, vol. 35(2), pages 408-419.
    • Handle: RePEc:eee:chsofr:v:35:y:2008:i:2:p:408-419
    DOI: 10.1016/j.chaos.2006.05.011
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    References listed on IDEAS

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    1. Xiao, Di & Liao, Xiaofeng & Wong, K.W., 2005. "An efficient entire chaos-based scheme for deniable authentication," Chaos, Solitons & Fractals, Elsevier, vol. 23(4), pages 1327-1331.
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    Cited by:

    1. Bowen Zhang & Lingfeng Liu, 2023. "Chaos-Based Image Encryption: Review, Application, and Challenges," Mathematics, MDPI, vol. 11(11), pages 1-39, June.
    2. Moreira Bezerra, João Inácio & Valduga de Almeida Camargo, Vinícius & Molter, Alexandre, 2021. "A new efficient permutation-diffusion encryption algorithm based on a chaotic map," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).
    3. Wang, Yong & Wong, Kwok-Wo & Liao, Xiaofeng & Xiang, Tao & Chen, Guanrong, 2009. "A chaos-based image encryption algorithm with variable control parameters," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1773-1783.
    4. Wong, Kwok-Wo & Kwok, Bernie Sin-Hung & Yuen, Ching-Hung, 2009. "An efficient diffusion approach for chaos-based image encryption," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2652-2663.
    5. Wu, Guo-Cheng & Baleanu, Dumitru & Xie, He-Ping & Chen, Fu-Lai, 2016. "Chaos synchronization of fractional chaotic maps based on the stability condition," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 460(C), pages 374-383.
    6. Behnia, S. & Akhshani, A. & Akhavan, A. & Mahmodi, H., 2009. "Applications of tripled chaotic maps in cryptography," Chaos, Solitons & Fractals, Elsevier, vol. 40(1), pages 505-519.
    7. Rhouma, Rhouma & Meherzi, Soumaya & Belghith, Safya, 2009. "OCML-based colour image encryption," Chaos, Solitons & Fractals, Elsevier, vol. 40(1), pages 309-318.
    8. Nosrati, Komeil & Shafiee, Masoud, 2018. "Fractional-order singular logistic map: Stability, bifurcation and chaos analysis," Chaos, Solitons & Fractals, Elsevier, vol. 115(C), pages 224-238.
    9. Smaoui, Nejib & Kanso, Ali, 2009. "Cryptography with chaos and shadowing," Chaos, Solitons & Fractals, Elsevier, vol. 42(4), pages 2312-2321.
    10. Naseer, Yasir & Shah, Tariq & Attaullah, & Javeed, Adnan, 2020. "Advance image encryption technique utilizing compression, dynamical system and S-boxes," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 178(C), pages 207-217.
    11. YuYan Bian & WenXin Yu, 2021. "A secure communication method based on 6-D hyperchaos and circuit implementation," Telecommunication Systems: Modelling, Analysis, Design and Management, Springer, vol. 77(4), pages 731-751, August.
    12. Xiao, Di & Liao, Xiaofeng & Wei, Pengcheng, 2009. "Analysis and improvement of a chaos-based image encryption algorithm," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2191-2199.
    13. Rech, Paulo C., 2009. "A coupling of three quadratic maps," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1949-1952.
    14. Han, S. & Chang, E., 2009. "Chaotic map based key agreement with/out clock synchronization," Chaos, Solitons & Fractals, Elsevier, vol. 39(3), pages 1283-1289.
    15. Mazloom, Sahar & Eftekhari-Moghadam, Amir Masud, 2009. "Color image encryption based on Coupled Nonlinear Chaotic Map," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1745-1754.
    16. Behnia, S. & Akhshani, A. & Ahadpour, S. & Akhavan, A. & Mahmodi, H., 2009. "Cryptography based on chaotic random maps with position dependent weighting probabilities," Chaos, Solitons & Fractals, Elsevier, vol. 40(1), pages 362-369.
    17. Akhavan, A. & Samsudin, A. & Akhshani, A., 2009. "Hash function based on piecewise nonlinear chaotic map," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 1046-1053.

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