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A new efficient permutation-diffusion encryption algorithm based on a chaotic map

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  • Moreira Bezerra, João Inácio
  • Valduga de Almeida Camargo, Vinícius
  • Molter, Alexandre

Abstract

Nowadays, the internet is the main channel for private communication. The use of a public channel for private communications increases the importance of cryptography to protect the information. The most commonly shared archives are images, for which traditional algorithms are not suitable due to the file’s large size and algorithms’ high computational cost. In this scenario, chaos theory surges as a promising alternative for image encryption due to intrinsic features of chaos, leading to the development of many chaotic ciphers for image encryption. However, many of them are either insecure or ineffective, motivating us to present a new chaotic cipher that satisfies both of these requirements. To ensure peak performance, a comparison of chaotic maps is made to select the one most conductible to a high throughout, while architecture measures such as the use of the permutation-diffusion architecture and a hash function are taken to ensure security. Extensive tests applied show that the cipher is secure against various forms of attacks such as statistical, differential, noise, occlusion and chosen-plaintext, while the throughput analysis shows that our cipher compares favorably to other recently presented chaotic ciphers in literature.

Suggested Citation

  • 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).
  • Handle: RePEc:eee:chsofr:v:151:y:2021:i:c:s0960077921005890
    DOI: 10.1016/j.chaos.2021.111235
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    References listed on IDEAS

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    1. Çavuşoğlu, Ünal & Kaçar, Sezgin & Pehlivan, Ihsan & Zengin, Ahmet, 2017. "Secure image encryption algorithm design using a novel chaos based S-Box," Chaos, Solitons & Fractals, Elsevier, vol. 95(C), pages 92-101.
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    4. Gao, Haojiang & Zhang, Yisheng & Liang, Shuyun & Li, Dequn, 2006. "A new chaotic algorithm for image encryption," Chaos, Solitons & Fractals, Elsevier, vol. 29(2), pages 393-399.
    5. 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. Bezerra, João Inácio Moreira & Machado, Gustavo & Molter, Alexandre & Soares, Rafael Iankowski & Camargo, Vinícius, 2023. "A novel simultaneous permutation–diffusion image encryption scheme based on a discrete space map," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).
    2. Ding, Dawei & Wang, Wei & Yang, Zongli & Hu, Yongbing & Wang, Jin & Wang, Mouyuan & Niu, Yan & Zhu, Haifei, 2023. "An n-dimensional modulo chaotic system with expected Lyapunov exponents and its application in image encryption," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    3. Guedes, Priscila F.S. & Mendes, Eduardo M.A.M. & Nepomuceno, Erivelton, 2022. "Effective computational discretization scheme for nonlinear dynamical systems," Applied Mathematics and Computation, Elsevier, vol. 428(C).

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