Lightweight Dual-Layer Chaotic Image Encryption Using Arnold Cat Map and Henon Zigzag Diffusion

Authors

  • Chaerul Umam Universitas Dian Nuswantoro Indonesia
  • Abdussalam Abdussalam Universitas Dian Nuswantoro Indonesia https://orcid.org/0009-0005-3315-967X
  • Arif Nursetyo Universitas Catur Insan Cendekia Indonesia
  • Bambang Sugiarto Universitas Catur Insan Cendekia Indonesia
  • Husain Md Mehedul Islam The Mathwork Inc. United States

DOI:

https://doi.org/10.26877/asset.v8i4.3085

Keywords:

Arnold Cat Map, Digital Data Protection, Henon Zigzag, Image Encryption, Super Encryption

Abstract

Digital image transmission over open networks raises significant security concerns due to the high correlation and predictable statistical properties of image data. Existing chaotic encryption schemes based on Arnold Cat Map (ACM) and Henon mapping often suffer from high computational cost, parameter sensitivity, or reliance on complex multi-stage designs. To address these limitations, this study proposes a lightweight dual-layer chaotic image encryption framework that integrates ACM-based pixel permutation with Henon Zigzag diffusion. The first layer applies ACM to disrupt spatial correlations, while the second layer embeds a Henon-based chaotic sequence into a zigzag traversal to enhance both confusion and diffusion. Experimental results demonstrate that the proposed method achieves strong security performance, with an average PSNR of 8.40 dB for cipher images, UACI of 33.67%, NPCR of 99.71%, and near-zero correlation coefficients across RGB channels, while maintaining a low average execution time of 1.80 s. These results indicate that the method produces highly randomized cipher images with strong resistance to statistical and differential attacks. Furthermore, the reduced computational complexity highlights its suitability as a lightweight and efficient solution for secure multimedia transmission in practical digital communication systems.

Author Biographies

  • Chaerul Umam, Universitas Dian Nuswantoro

    Faculty of Computer Science, Universitas Dian Nuswantoro, Imam Bonjol No 207, Pendrikan Kidul, Semarang 50131, Central Java, Indonesia

  • Abdussalam Abdussalam, Universitas Dian Nuswantoro

    Faculty of Computer Science, Universitas Dian Nuswantoro, Imam Bonjol No 207, Pendrikan Kidul, Semarang 50131, Central Java, Indonesia

  • Arif Nursetyo, Universitas Catur Insan Cendekia

    Faculty of Technology and Information, Universitas Catur Insan Cendekia, Kesambi No 202, Cirebon 45134, West Java, Indonesia

  • Bambang Sugiarto, Universitas Catur Insan Cendekia

    Faculty of Technology and Information, Universitas Catur Insan Cendekia, Kesambi No 202, Cirebon 45134, West Java, Indonesia

  • Husain Md Mehedul Islam, The Mathwork Inc.

References

[1] S. Kingra, N. Aggarwal, and N. Kaur, “Emergence of deepfakes and video tampering detection approaches: A survey,” Multimed Tools Appl, vol. 82, no. 7, pp. 10165–10209, Mar. 2023, doi: https://doi.org/10.1007/s11042-022-13100-x.

[2] R. Zhao, Y. Zhang, T. Wang, W. Wen, Y. Xiang, and X. Cao, “Visual Content Privacy Protection: A Survey,” ACM Comput Surv, vol. 57, no. 5, pp. 1–36, May 2025, doi: https://doi.org/10.1145/3708501.

[3] H. Ko and M. R. Ogiela, “Security Strategy of Digital Medical Contents Based on Blockchain in Generative AI Model,” Computers, Materials & Continua, vol. 82, no. 1, pp. 259–278, 2025, doi: https://doi.org/10.32604/cmc.2024.057257.

[4] N. Li et al., “A review of security issues and solutions for precision health in Internet-of-Medical-Things systems,” Security and Safety, vol. 2, p. 2022010, Jan. 2023, doi: https://doi.org/10.1051/sands/2022010.

[5] W. Robert et al., “A Comprehensive Review on Cryptographic Techniques for Securing Internet of Medical Things: A State-of-the-Art, Applications, Security Attacks, Mitigation Measures, and Future Research Direction,” Mesopotamian Journal of Artificial Intelligence in Healthcare, vol. 2024, pp. 135–169, Nov. 2024, doi: https://doi.org/10.58496/MJAIH/2024/016.

[6] O. Alabi, A. J. Gabriel, A. Thompson, and B. K. Alese, “Privacy and Trust Models for Cloud-Based EHRs Using Multilevel Cryptography and Artificial Intelligence,” 2022, pp. 91–113. doi: https://doi.org/10.1007/978-3-030-80821-1_5.

[7] Dr. A. Shaji George, “Personal Privacy at Risk: The Security Threats of Sharing Boarding Passes Online,” Partners Universal International Research Journal, vol. 3, no. 4, pp. 24–40, Dec. 2024, doi: https://doi.org/10.5281/zenodo.14503012.

[8] W. S. Sari, E. Z. Astuti, and C. Jatmoko, “Hybrid Encryption using Advanced Encryption Standard and Arnold Scrambling for 3D Color Images,” Kinetik: Game Technology, Information System, Computer Network, Computing, Electronics, and Control, Jan. 2025, doi: https://doi.org/10.22219/kinetik.v10i1.2058.

[9] C. A. Sari, M. H. Dzaki, E. H. Rachmawanto, R. R. Ali, and M. Doheir, “High PSNR Using Fibonacci Sequences in Classical Cryptography and Steganography Using LSB,” International Journal of Intelligent Engineering and Systems, vol. 16, no. 4, pp. 568–580, 2023, doi: https://doi.org/10.22266/ijies2023.0831.46.

[10] A. A. P. Ratna et al., “Chaos-Based Image Encryption Using Arnold’s Cat Map Confusion and Henon Map Diffusion,” Advances in Science, Technology and Engineering Systems Journal, vol. 6, no. 1, pp. 316–326, Jan. 2021, doi: https://doi.org/10.25046/aj060136.

[11] W. W. Hu, R. G. Zhou, J. Luo, S. X. Jiang, and G. F. Luo, “Quantum image encryption algorithm based on Arnold scrambling and wavelet transforms,” Quantum Inf Process, vol. 19, no. 3, Mar. 2020, doi: https://doi.org/10.1007/s11128-020-2579-9.

[12] C. A. Sari et al., “A Chaotic Image Encryption Based on Random Noise and Arnold Cat Maps,” in 2024 International Seminar on Application for Technology of Information and Communication (iSemantic), 2024, pp. 347–352. doi: https://doi.org/10.1109/iSemantic63362.2024.10762216.

[13] S. Niu, R. Xue, and C. Ding, “A dual image encryption method based on improved Henon mapping and improved Logistic mapping,” Multimed Tools Appl, May 2024, doi: https://doi.org/10.1007/s11042-024-19157-0.

[14] Z. Feixiang, L. Mingzhe, W. Kun, and Z. Hong, “Color image encryption via Hénon-zigzag map and chaotic restricted Boltzmann machine over Blockchain,” Opt Laser Technol, vol. 135, p. 106610, Mar. 2021, doi: https://doi.org/10.1016/j.optlastec.2020.106610.

[15] H. Wu, J. Wang, Z. Zhang, X. Chen, and Z. Zhu, “A multi-image encryption with super-lager-capacity based on spherical diffraction and filtering diffusion,” Applied Sciences (Switzerland), vol. 10, no. 16, Aug. 2020, doi: https://doi.org/10.3390/app10165691.

[16] B. Rezaei, M. Mobasseri, and R. Enayatifar, “A secure, efficient and super-fast chaos-based image encryption algorithm for real-time applications,” J Real Time Image Process, vol. 20, no. 2, p. 30, Apr. 2023, doi: https://doi.org/10.1007/s11554-023-01289-5.

[17] N. Chaudhary, T. B. Shahi, and A. Neupane, “Secure Image Encryption Using Chaotic, Hybrid Chaotic and Block Cipher Approach,” J Imaging, vol. 8, no. 6, p. 167, Jun. 2022, doi: https://doi.org/10.3390/jimaging8060167.

[18] M. Es-Sabry, N. El Akkad, M. Merras, A. Saaidi, and K. Satori, “A new color image encryption algorithm using multiple chaotic maps with the intersecting planes method,” Sci Afr, vol. 16, p. e01217, Jul. 2022, doi: https://doi.org/10.1016/j.sciaf.2022.e01217.

[19] M. U. Rehman, A. Shafique, K. H. Khan, and M. M. Hazzazi, “Efficient and secure image encryption using key substitution process with discrete wavelet transform,” Journal of King Saud University - Computer and Information Sciences, vol. 35, no. 7, p. 101613, Jul. 2023, doi: https://doi.org/10.1016/j.jksuci.2023.101613.

[20] K. M. Hosny, S. T. Kamal, and M. M. Darwish, “A color image encryption technique using block scrambling and chaos,” Multimed Tools Appl, vol. 81, no. 1, pp. 505–525, Jan. 2022, doi: https://doi.org/10.1007/s11042-021-11384-z.

[21] R. K. Sinha, N. San, B. Asha, S. Prasad, and S. S. Sahu, “Chaotic Image Encryption Scheme Based on Modified Arnold Cat Map and Henon Map,” in 2018 International Conference on Current Trends towards Converging Technologies (ICCTCT), IEEE, Mar. 2018, pp. 1–5. doi: https://doi.org/10.1109/ICCTCT.2018.8551137.

[22] F. Masood et al., “A novel image encryption scheme based on Arnold cat map, Newton-Leipnik system and Logistic Gaussian map,” Multimed Tools Appl, vol. 81, no. 21, pp. 30931–30959, Sep. 2022, doi: https://doi.org/10.1007/s11042-022-12844-w.

[23] C. A. Sari et al., “A Chaotic Image Encryption Based on Random Noise and Arnold Cat Maps,” in 2024 International Seminar on Application for Technology of Information and Communication (iSemantic), IEEE, Sep. 2024, pp. 347–352. doi: https://doi.org/10.1109/iSemantic63362.2024.10762216.

[24] L. Chen, H. Yin, L. Yuan, J. A. T. Machado, R. Wu, and Z. Alam, “Double color image encryption based on fractional order discrete improved Henon map and Rubik’s cube transform,” Signal Process Image Commun, vol. 97, p. 116363, Sep. 2021, doi: https://doi.org/10.1016/j.image.2021.116363.

[25] S. Saxena, Y. Singh, B. Agarwal, and R. C. Poonia, “Comparative analysis between different edge detection techniques on mammogram images using PSNR and MSE,” Journal of Information and Optimization Sciences, vol. 43, no. 2, pp. 347–356, Feb. 2022, doi: https://doi.org/10.1080/02522667.2021.2000168.

[26] E. A. Sofyan, C. A. Sari, H. Rachmawanto, and R. D. Cahyo, “High-Quality Evaluation for Invisible Watermarking Based on Discrete Cosine Transform (DCT) and Singular Value Decomposition (SVD),” Advance Sustainable Science, Engineering and Technology (ASSET), vol. 6, no. 1, 2024, doi: https://doi.org/10.26877/asset.v6i1.17186.

[27] S. Yin, J. Liu, and L. Teng, “Improved Elliptic Curve Cryptography with Homomorphic Encryption for Medical Image Encryption.,” Int. J. Netw. Secur., vol. 22, no. 3, pp. 419–424, 2020.

[28] F. Meng and Z. Gu, “A Color Image-Encryption Algorithm Using Extended DNA Coding and Zig-Zag Transform Based on a Fractional-Order Laser System,” Fractal and Fractional, vol. 7, no. 11, p. 795, Oct. 2023, doi: https://doi.org/10.3390/fractalfract7110795.

[29] M. Fadlan, Haryansyah, and Rosmini, “Three Layer Encryption Protocol: an Approach of Super Encryption Algorithm,” in 2021 3rd International Conference on Cybernetics and Intelligent System (ICORIS), IEEE, Oct. 2021, pp. 1–5. doi: https://doi.org/10.1109/ICORIS52787.2021.9649574.

[30] Daniah Abul Qahar Shakir, Ahmad Salim, Seddiq Q. Abd Al-Rahman, and Ali Makki Sagheer, “Image Encryption Using Lorenz Chaotic System,” Journal of Techniques, vol. 5, no. 1, pp. 122–128, Apr. 2023, doi: https://doi.org/10.51173/jt.v5i1.840.

Downloads

Published

2026-08-29