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Applications of tripled chaotic maps in cryptography

Author

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

Abstract

Security of information has become a major issue during the last decades. New algorithms based on chaotic maps were suggested for protection of different types of multimedia data, especially digital images and videos in this period. However, many of them fundamentally were flawed by a lack of robustness and security. For getting higher security and higher complexity, in the current paper, we introduce a new kind of symmetric key block cipher algorithm that is based on tripled chaotic maps. In this algorithm, the utilization of two coupling parameters, as well as the increased complexity of the cryptosystem, make a contribution to the development of cryptosystem with higher security. In order to increase the security of the proposed algorithm, the size of key space and the computational complexity of the coupling parameters should be increased as well. Both the theoretical and experimental results state that the proposed algorithm has many capabilities such as acceptable speed and complexity in the algorithm due to the existence of two coupling parameters and high security. Note that the ciphertext has a flat distribution and has the same size as the plaintext. Therefore, it is suitable for practical use in secure communications.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:chsofr:v:40:y:2009:i:1:p:505-519
    DOI: 10.1016/j.chaos.2007.08.013
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    References listed on IDEAS

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    1. Zhang, Linhua & Liao, Xiaofeng & Wang, Xuebing, 2005. "An image encryption approach based on chaotic maps," Chaos, Solitons & Fractals, Elsevier, vol. 24(3), pages 759-765.
    2. Alvarez, Gonzalo, 2005. "Security problems with a chaos-based deniable authentication scheme," Chaos, Solitons & Fractals, Elsevier, vol. 26(1), pages 7-11.
    3. Wei, Jun & Liao, Xiaofeng & Wong, Kwok-wo & Xiang, Tao, 2006. "A new chaotic cryptosystem," Chaos, Solitons & Fractals, Elsevier, vol. 30(5), pages 1143-1152.
    4. 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.
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    Cited by:

    1. Soriano-Sánchez, A.G. & Posadas-Castillo, C. & Platas-Garza, M.A. & Diaz-Romero, D.A., 2015. "Performance improvement of chaotic encryption via energy and frequency location criteria," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 112(C), pages 14-27.
    2. Yang, Huaqian & Wong, Kwok-Wo & Liao, Xiaofeng & Wang, Yong & Yang, Degang, 2009. "One-way hash function construction based on chaotic map network," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2566-2574.

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