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A new chaotic algorithm for image encryption

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  • Gao, Haojiang
  • Zhang, Yisheng
  • Liang, Shuyun
  • Li, Dequn

Abstract

Recent researches of image encryption algorithms have been increasingly based on chaotic systems, but the drawbacks of small key space and weak security in one-dimensional chaotic cryptosystems are obvious. This paper presents a new nonlinear chaotic algorithm (NCA) which uses power function and tangent function instead of linear function. Its structural parameters are obtained by experimental analysis. And an image encryption algorithm in a one-time-one-password system is designed. The experimental results demonstrate that the image encryption algorithm based on NCA shows advantages of large key space and high-level security, while maintaining acceptable efficiency. Compared with some general encryption algorithms such as DES, the encryption algorithm is more secure.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:chsofr:v:29:y:2006:i:2:p:393-399
    DOI: 10.1016/j.chaos.2005.08.110
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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. Álvarez, G. & Montoya, F. & Romera, M. & Pastor, G., 2005. "Cryptanalyzing an improved security modulated chaotic encryption scheme using ciphertext absolute value," Chaos, Solitons & Fractals, Elsevier, vol. 23(5), pages 1749-1756.
    3. Chien, Tsun-I & Liao, Teh-Lu, 2005. "Design of secure digital communication systems using chaotic modulation, cryptography and chaotic synchronization," Chaos, Solitons & Fractals, Elsevier, vol. 24(1), pages 241-255.
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    Cited by:

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    3. Yang, Jiyun & Liao, Xiaofeng & Yu, Wenwu & Wong, Kwok-wo & Wei, Jun, 2009. "Cryptanalysis of a cryptographic scheme based on delayed chaotic neural networks," Chaos, Solitons & Fractals, Elsevier, vol. 40(2), pages 821-825.
    4. Yildirim, Melih, 2022. "Optical color image encryption scheme with a novel DNA encoding algorithm based on a chaotic circuit," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
    5. 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).
    6. Zhou, Qing & Wong, Kwok-wo & Liao, Xiaofeng & Xiang, Tao & Hu, Yue, 2008. "Parallel image encryption algorithm based on discretized chaotic map," Chaos, Solitons & Fractals, Elsevier, vol. 38(4), pages 1081-1092.
    7. 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.
    8. Lian, Shiguo, 2009. "Efficient image or video encryption based on spatiotemporal chaos system," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2509-2519.
    9. Kanso, Ali & Smaoui, Nejib, 2009. "Logistic chaotic maps for binary numbers generations," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2557-2568.
    10. Zhang, Ying-Qian & Wang, Xing-Yuan, 2014. "Spatiotemporal chaos in mixed linear–nonlinear coupled logistic map lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 402(C), pages 104-118.
    11. 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.
    12. 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.
    13. Dejian Fang & Shuliang Sun, 2020. "A new secure image encryption algorithm based on a 5D hyperchaotic map," PLOS ONE, Public Library of Science, vol. 15(11), pages 1-13, November.
    14. Gao, Tiegang & Chen, Zengqiang, 2008. "Image encryption based on a new total shuffling algorithm," Chaos, Solitons & Fractals, Elsevier, vol. 38(1), pages 213-220.
    15. Omar Saraereh & Qais Alsafasfeh & Aodeh Arfoa, 2013. "Improving a New Logistic Map as a New Chaotic Algorithm for Image Encryption," Modern Applied Science, Canadian Center of Science and Education, vol. 7(12), pages 1-24, December.
    16. Arshad, Usman & Khan, Majid & Shaukat, Sajjad & Amin, Muhammad & Shah, Tariq, 2020. "An efficient image privacy scheme based on nonlinear chaotic system and linear canonical transformation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 546(C).

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