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2D Sin‐Cos‐Henon Map for Color Image Encryption with High Security

Author

Listed:
  • Zhiqiang Cheng
  • Wencheng Wang
  • Yuezhang Dai
  • Lun Li

Abstract

In this paper, a high security color image encryption algorithm is proposed by 2D Sin‐Cos‐Hénon (2D‐SCH) system. A new two‐dimensional chaotic system which is 2D‐SCH. This system is hyperchaotic. The use of the 2D‐SCH, a color image encryption algorithm based on random scrambling and localization diffusion, is proposed. First, the secret key is generated by SHA512 through plaintext. As the initial value of the 2D‐SCH system, the secret key is used to generate chaotic sequences. Then, the random scrambling is designed based on chaotic sequences. Finally, a pair of initial points is generated by the secret key; the image diffuses around this point. The ciphertext is obtained by a double encryption. Different from the traditional encryption algorithm, this paper encrypts three channels of color image simultaneously, which greatly improves the security of the algorithm. Simulation results show that the algorithm can resist various attacks.

Suggested Citation

  • Zhiqiang Cheng & Wencheng Wang & Yuezhang Dai & Lun Li, 2022. "2D Sin‐Cos‐Henon Map for Color Image Encryption with High Security," Journal of Applied Mathematics, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:jnljam:v:2022:y:2022:i:1:n:9508749
    DOI: 10.1155/2022/9508749
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    References listed on IDEAS

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    1. Yudong Li & Tianyu Zhang & Yujun Zhang, 2014. "Adaptive Control of the Chaotic System via Singular System Approach," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    2. Yudong Li & Tianyu Zhang & Yujun Zhang, 2014. "Adaptive Control of the Chaotic System via Singular System Approach," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-6, August.
    3. Liu, Hongjun & Zhang, Yingqian & Kadir, Abdurahman & Xu, Yanqiu, 2019. "Image encryption using complex hyper chaotic system by injecting impulse into parameters," Applied Mathematics and Computation, Elsevier, vol. 360(C), pages 83-93.
    4. Folifack Signing, V.R. & Gakam Tegue, G.A. & Kountchou, M. & Njitacke, Z.T. & Tsafack, N. & Nkapkop, J.D.D. & Lessouga Etoundi, C.M. & Kengne, J., 2022. "A cryptosystem based on a chameleon chaotic system and dynamic DNA coding," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
    5. Xingyuan Wang & Yining Su & Chao Luo & Chunpeng Wang, 2020. "A novel image encryption algorithm based on fractional order 5D cellular neural network and Fisher-Yates scrambling," PLOS ONE, Public Library of Science, vol. 15(7), pages 1-18, July.
    6. 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).
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