A Novel Back Propagated Image Encryption Method with PGP Public Key and 1D Logical Map

Authors

DOI:

https://doi.org/10.65834/jdsi.11.9

Keywords:

cryptography, chaos, logistic map, image encryption, public key

Abstract

From the past to the present, encrypted communication has played a crucial role in protecting the confidentiality of government-level information, military information, and personal information. Numerous methods have been developed to encrypt the sent message and ensure that only the recipient can decrypt it. New encryption methods are still being developed today. While in the past, the message requiring encryption was primarily text-based, multimedia products such as images and videos have emerged, necessitating encryption to protect personal data and the confidentiality of government or institutional information. What distinguishes multimedia messages from text-based messages is the similarity of pixels in digital images and the large size of their information. This high data density and similar data make encryption difficult. In this case, traditional text encryption methods are inadequate. The image encryption method proposed in this study differs from traditional text encryption methods in terms of its methodology. The study consists of three steps. In the first stage, the rows and columns in the plain image are shifting using the classic Affine encryption algorithm. In this stage, the width and height values ​​of the image are used to generate the Affine key. In the second step, the recipient's pretty good privacy (PGP) key is obtained. The resulting PGP key generates the key sequence , which will be used in the encryption process. Simultaneously, the values ​​obtained from the PGP key are used to obtain the  value, the input parameter of the 1D logistic map, and the initial value . In the third step, a back propagated XOR operation is applied to the image using the data obtained from the 1D logistic map, encrypting all pixels in the plain image. Experiments were conducted on grayscale and RGB images of different sizes in the proposed study. The NPCR value of 99.6078 and UACI value of 33.5323, respectively, demonstrate the feasibility of the proposed method.

Author Biographies

Nurettin DOĞAN, Selçuk University, Computer Engineering Department

Selcuk University, Computer Engineering Department

Adem Alpaslan ALTUN, Selçuk University, Computer Engineering Department

Selcuk University, Computer Engineering Department

References

Abba, A., Teh, J. S., & Alawida, M. (2024). Towards accurate keyspace analysis of chaos-based image ciphers. Multimedia Tools and Applications, 83(33), 79047-79066. https://doi.org/10.1007/s11042-024-18628-8

Ali, N. H. M., Hoobi, M. M., & Hussien, S. A. S. (2025). Enhanced TEA Algorithm Performance using Affine Transformation and Chaotic Arnold Map. Mesopotamian Journal of Computer Science, 2025, 341-354. https://doi.org/10.2139/ssrn.5681046

Althamir, M., Alabdulhay, A., & Yasin, M. M. (2023). A systematic literature review on symmetric and asymmetric encryption comparison key size. 2023 3rd International Conference on Smart Data Intelligence (ICSMDI), 110-117. https://doi.org/10.1109/icsmdi57622.2023.00027

Archana, K., Kumar, S. S., Gokak, P. P., Pragna, M., & Shruthi, M. (2022). IRIS Image Encryption and Decryption Based Application Using Chaos System and Confusion Technique. In Modeling, Simulation and Optimization: Proceedings of CoMSO 2021 (pp. 155-175). Springer. https://doi.org/10.1007/978-981-19-0836-1_13

Artuğer, F. (2025). Innovative image encryption approach based on bitwise XOR high nonlinear S-boxes and random permutation. Soft Computing, 29(6), 2891-2903. https://doi.org/10.1155/2017/6969312

Boldo, S., Jeannerod, C.-P., Melquiond, G., & Muller, J.-M. (2023). Floating-point arithmetic. Acta Numerica, 32, 203-290. https://doi.org/10.1017/S0962492922000101

Braverman, L., & Nelson, D. R. (2025). Transition to chaos with conical billiards. arXiv preprint arXiv:2508.02786. https://doi.org/doi.org/10.1103/18f7-sqhz

California, U. o. S. (2024). SIPI database of University of Southern California. Retrieved 16 March from https://sipi.usc.edu/database/database.php?volume=misc

Diffie, W., & Hellman, M. E. (2022). New directions in cryptography. In Democratizing cryptography: the work of Whitfield Diffie and Martin Hellman (pp. 365-390)

Eldesouky, S., El‐Shafai, W., Ahmed, H. E. d. H., & El‐Samie, F. E. A. (2022). Cancelable electrocardiogram biometric system based on chaotic encryption using three‐dimensional logistic map for biometric‐based cloud services. Security and Privacy, 5(2), e198. https://doi.org/10.1002/spy2.198

Feng, W., Zhao, X., Zhang, J., Qin, Z., Zhang, J., & He, Y. (2022). Image encryption algorithm based on plane-level image filtering and discrete logarithmic transform. Mathematics, 10(15), 2751. https://doi.org/10.3390/math10152751

Geetha, M., Ranjithkannan, T., Yogeshwaran, R., & Nishanth, S. (2025). Next-Gen Multimedia Encryption by Combining Symmetric and Asymmetric Cryptographic Techniques. 2025 5th International Conference on Expert Clouds and Applications (ICOECA), 49-53. https://doi.org/10.1109/icoeca66273.2025.00020

Gupta, L., Jaiswal, P., Lather, I., Agarwal, R., & Thakur, A. (2023). Image Encryption using Chaotic maps: State of the art. 2023 3rd International Conference on Intelligent Technologies (CONIT), 1-8. https://doi.org/10.1109/CONIT59222.2023.10205829

Hanif, M., Iqbal, N., Ur Rahman, F., Khan, M. A., Ghazal, T. M., Abbas, S., Ahmad, M., Al Hamadi, H., & Yeun, C. Y. (2022). A novel grayscale image encryption scheme based on the block-level swapping of pixels and the chaotic system. Sensors, 22(16), 6243. https://doi.org/10.3390/s22166243

Heinrich, C. (2025). Pretty good privacy (PGP). In Encyclopedia of Cryptography, Security and Privacy (pp. 1863-1868). Springer. https://doi.org/10.1007/978-3-030-71522-9_215

Ihsan, A., & Doğan, N. (2023). Improved affine encryption algorithm for color images using LFSR and XOR encryption. Multimedia Tools and Applications, 82(5), 7621-7637. https://doi.org/10.1007/s11042-022-13727-w

Karthik, G., Suresh, P., Ganesh, V., Kumar, H., & Amirtharajan, R. (2025). Elliptical Curve Cryptography for Images Using Mandelbrot Fractal and Zaslavskii Map Based Multiple Key with DNA Encoding. 2025 11th International Conference on Communication and Signal Processing (ICCSP), 960-964. https://doi.org/10.1109/iccsp64183.2025.11088650

Li, H., Yu, S., Feng, W., Chen, Y., Zhang, J., Qin, Z., Zhu, Z., & Wozniak, M. (2023). Exploiting dynamic vector-level operations and a 2D-enhanced logistic modular map for efficient chaotic image encryption. Entropy, 25(8), 1147. https://doi.org/10.3390/e25081147

Lyle, M., Sarosh, P., & Parah, S. A. (2022). Adaptive image encryption based on twin chaotic maps. Multimedia Tools and Applications, 81(6), 8179-8198. https://doi.org/10.1007/s11042-022-11917-0

Paramesha, K., Karthik, V., Prashanth, M., Sathisha, M., Bhargav, H., HS, R. K., Raju, K., & Puttegowda, K. (2025). A novel image cryptosystem for biomedical images and secured storage by randomized chaotic encryption scheme. Journal of Integrated Science and Technology, 13(5), 1103-1103. https://doi.org/10.62110/sciencein.jist.2025.v13.1103

Saif, A. (2025). Data Security on cloud using Hybrid Cryptography a PGP based encryption methodology Dublin, National College of Ireland].

Schwenk, J. (2022). File Encryption: PGP. In Guide to Internet Cryptography: Security Protocols and Real-World Attack Implications (pp. 377-399). Springer. https://doi.org/10.1007/978-3-031-19439-9_16

Sivasankari, N., & Kamalakkannan, S. (2022). Detection and prevention of man-in-the-middle attack in iot network using regression modeling. Advances in Engineering software, 169, 103126. https://doi.org/10.1016/j.advengsoft.2022.103126

Susanti, B. H., Sumule, A. S. L., & Ardyani, M. W. (2025). Security Analysis of Modified ESRKGS-RSA Using Lenstra’s Elliptic Curve Method. CAUCHY: Jurnal Matematika Murni dan Aplikasi, 10(2), 805-820. https://doi.org/0.18860/cauchy.v10i2.32189

Taqi, I. A., & Abdul-Haleem, M. G. (2023). An Efficient Cryptosystem for Image Using 1D and 2D Logistic Chaotic Maps. International Journal of Intelligent Engineering & Systems, 16(4). https://doi.org/10.22266/ijies2023.0831.11

Ullah, A., Shah, A. A., Khan, J. S., Sajjad, M., Boulila, W., Akgul, A., Masood, J., Ghaleb, F. A., Shah, S. A., & Ahmad, J. (2022). An efficient lightweight image encryption scheme using multichaos. Security and Communication Networks, 2022(1), 5680357. https://doi.org/10.1155/2022/5680357

Wang, G. (2024). Remote sensing image encryption algorithm based on novel spatiotemporal chaotic system (Patent No. CN119814936). U. S. T. LIAONING. https://patentscope.wipo.int/search/en/detail.jsf?docId=CN454494386

Yu, J. (2023). Based on Gaussian filter to improve the effect of the images in Gaussian noise and pepper noise. Journal of Physics: Conference Series, 2580(1), 012062. https://doi.org/10.1088/1742-6596/2580/1/012062

Zhang, Y. T. Y. (2024). Image encryption and decryption method and system based on SM2 and DNA (Patent No. CN118018659A). E. U. O. T. C. P. S. A. P. FORCE. https://patentscope.wipo.int/search/en/detail.jsf?docId=CN429414066

Zhou, S., Wang, X., Zhang, Y., Ge, B., Wang, M., & Gao, S. (2022). A novel image encryption cryptosystem based on true random numbers and chaotic systems. Multimedia Systems, 28(1), 95-112. https://doi.org/10.1007/s00530-021-00803-8

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Published

2026-01-09

How to Cite

ÇELİK, T., DOĞAN, N., & ALTUN, A. A. (2026). A Novel Back Propagated Image Encryption Method with PGP Public Key and 1D Logical Map. Journal of Defence and Security Industries: Strategy and Technology, 1(1), 116–139. https://doi.org/10.65834/jdsi.11.9