Cited by 72Chaos-based Image/Signal EncryptionComputer Science and EngineeringAdvanced Steganography and Watermarking Techniques

Image Encryption via Base-n PRNGs and Parallel Base-n S-Boxes

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Gabr, Mohamed, Elias, Rimon, Hosny, Khalid M., Papakostas, George A., Alexan, Wassim·2023·IEEE Access

Abstract

The fast-paced advancement in multimedia production and exchanges over unsecured networks have led to a dire need to develop security applications. In this regard, chaos theory has much to offer, especially high-dimensional (HD) chaotic functions of fractional order. The authors propose a new symmetric, secure and robust image encryption method in this research work. In this method, the authors hybridize the Chen and Chua chaotic functions with a Memristor circuit to benefit from the strengths of each. Such a hybridization of systems allows for the generation of pseudo-random numbers which are used to develop encryption keys and substitution boxes (S-boxes). For the application of the generated encryption keys towards carrying out data diffusion, instead of the most commonly used approach of bit-stream levelXOR, this work utilizes different logical and arithmetic operations, which is made possible by performing this process over variable numerical bases. Moreover, multiple S-boxes of varying base-nare generated and utilized in a parallel fashion, carrying out data confusion. The computed numerical results reflect the superior capabilities of the proposed image encryption technique, signifying resilience and robustness against various attacks.

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  • The reversible property of logical gates such as XOR, XNOR, Fredkin, and CNOT ensures that original high-quality images can be perfectly reconstructed after decryption.

    “The reversible property of these gates, where the input can be derived from the output without any loss of information, is particularly appealing in multimedia encryption. This reversibility ensures that the original high-quality images can be perfectly reconstructed after decryption, an essential factor for applications where detail and accuracy are paramount21,24.”

    From A chaos-based augmented image encryption scheme for satellite images using Fredkin logic (2025) · cites this paper as [21]

    Section III, “Encryption Key Application” (page not provided), says reversible operations reproduce the original input data; Section III-A identifies XOR and XNOR as reversible operations used in image encryption. These passages support lossless recovery in principle, but our copy does not identify Fredkin or CNOT as the gates used for that purpose, nor does it establish the claim about reconstructed image quality. (LLM, conf=0.86)

    Experimental — accuracy not yet measured

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Research works printed but not linked: 50

  1. Sherif H AbdElHaleem, Salwa K Abd-El-Hafiz, and Ahmed G Radwan. A generalized framework for elliptic curves based PRNG and its utilization in image encryption. Scientific Reports, 12(1):13278, 2022.
  2. Wassim Alexan, Nader Alexan, and Mohamed Gabr. Multiple-layer image encryption utilizing fractional-order chen hyperchaotic map and cryptographically secure prngs. Fractal and Fractional, 7(4):287, 2023.
  3. Wassim Alexan, Ahmed Ashraf, Eyad Mamdouh, Sarah Mohamed, and Mohamed Moustafa. IoMT security: SHA3-512, AES-256, RSA and LSB steganography. In 2021 8th NAFOSTED Conference on Information and Computer Science (NICS), pages 177-181. IEEE, 2021.
  4. Wassim Alexan, Mohamed ElBeltagy, and Amr Aboshousha. Image encryption through Lucas sequence, S-box and chaos theory. In 2021 8th NAFOSTED Conference on Information and Computer Science (NICS), pages 77-83. IEEE, 2021.
  5. Wassim Alexan, Mohamed ElBeltagy, and Amr Aboshousha. RGB image encryption through cellular automata, S-box and the Lorenz system. Symmetry, 14(3):443, 2022.
  6. Wassim Alexan, Abdelrahman Elkhateeb, Eyad Mamdouh, Fahd Al- Seba'Ey, Ziad Amr, and Hana Khalil. Utilization of corner filters, AES and LSB steganography for secure message transmission. In 2021 International Conference on Microelectronics (ICM), pages 29-33. IEEE, 2021.
  7. Wassim Alexan, Mohamed Gabr, Eyad Mamdouh, Rimon Elias, and Amr Aboshousha. Color image cryptosystem based on sine chaotic map, 4D Chen hyperchaotic map of fractional-order and hybrid DNA coding. IEEE Access, 11:54928-54956, 2023.
  8. David Raymond Anderson. Model based inference in the life sciences: a primer on evidence, volume 31. Springer, 2008.
  9. Jiao-Jiao Chen, Deng-Wei Yan, Shu-Kai Duan, and Li-Dan Wang. Memristor-based hyper-chaotic circuit for image encryption. Chinese Physics B, 29(11):110504, 2020.
  10. Walid El-Shafai, Iman M Almomani, and Aala Alkhayer. Optical bit- plane-based 3D-JST cryptography algorithm with cascaded 2D-FrFT en- cryption for efficient and secure HEVC communication. IEEE Access, 9:35004-35026, 2021.
  11. Mohamed ElBeltagy, Wassim Alexan, Abdelrahman Elkhamry, Mohamed Moustafa, and Hisham H Hussein. Image encryption through rössler system, prng s-box and recamán's sequence. In 2022 IEEE 12th Annual Computing and Communication Workshop and Conference (CCWC), pages 0716-0722. IEEE, 2022.
  12. Mohamed ElBeltagy, Wassim Alexan, Abdelrahman Elkhamry, Mohamed Moustafa, and Hisham H. Hussein. Image encryption through Rössler system, PRNG S-box and recamán's sequence. In 2022 IEEE 12th Annual Computing and Communication Workshop and Conference (CCWC), pages 0716-0722, 2022.
  13. Marwa Tarek Elkandoz and Wassim Alexan. Image encryption based on a combination of multiple chaotic maps. Multimedia Tools and Applications, 81(18):25497-25518, 2022.
  14. Sara Farrag and Wassim Alexan. Secure 3D data hiding technique based on a mesh traversal algorithm. Multimedia Tools and Applications, 79(39):29289-29303, 2020.
  15. Arkady Fedorov, Lars Steffen, Matthias Baur, Marcus P da Silva, and Andreas Wallraff. Implementation of a toffoli gate with superconducting circuits. Nature, 481(7380):170-172, 2012.
  16. Mohamed Gabr, Wassim Alexan, and Kareem Moussa. Image encryption through CA, chaos and Lucas sequence based S-box. In 2022 Signal Processing: Algorithms, Architectures, Arrangements, and Applications (SPA), pages 34-39. IEEE, 2022.
  17. Mohamed Gabr, Wassim Alexan, Kareem Moussa, Belal Maged, and Al- Hussain Mezar. Multi-stage RGB image encryption. In 2022 International Telecommunications Conference (ITC-Egypt), pages 1-6. IEEE, 2022.
  18. Mohamed Gabr, Hisham H Hussein, and Wassim Alexan. A combination of decimal-and bit-level secure multimedia transmission. In 2022 Work- shop on Microwave Theory and Techniques in Wireless Communications (MTTW), pages 177-182. IEEE, 2022.
  19. Mohamed Gabr, Hana Younis, Marwa Ibrahim, Sara Alajmy, Ijaz Khalid, Eman Azab, Rimon Elias, and Wassim Alexan. Application of DNA coding, the Lorenz differential equations and a variation of the logistic map in a multi-stage cryptosystem. Symmetry, 14(12):2559, 2022.
  20. Umar Hayat, Naveed Ahmed Azam, Homero Renato Gallegos-Ruiz, Saima Naz, and Lubna Batool. A truly dynamic substitution box generator for block ciphers based on elliptic curves over finite rings. Arabian Journal for Science and Engineering, 46(9):8887-8899, 2021.
  21. A.S. Hegazi and A.E. Matouk. Dynamical behaviors and synchronization in the fractional order hyperchaotic Chen system. Applied Mathematics Letters, 24(11):1938-1944, 2011.
  22. Khalid M Hosny. Multimedia security using chaotic maps: principles and methodologies, volume 884. Springer, 2020.
  23. Khalid M Hosny, Sara T Kamal, and Mohamed M Darwish. A color image encryption technique using block scrambling and chaos. Multimedia Tools and Applications, pages 1-21, 2022.
  24. Khalid M Hosny, Sara T Kamal, and Mohamed M Darwish. Novel encryption for color images using fractional-order hyperchaotic system. Journal of Ambient Intelligence and Humanized Computing, 13(2):973- 988, 2022.
  25. Khalid M Hosny, Sara T Kamal, and Mohamed M Darwish. A novel color image encryption based on fractional shifted gegenbauer moments and 2d logistic-sine map. The Visual Computer, 39(3):1027-1044, 2023.
  26. Jialin Hou, Rui Xi, Ping Liu, and Tianliang Liu. The switching fractional order chaotic system and its application to image encryption. IEEE/CAA Journal of Automatica Sinica, 4(2):381-388, 2016.
  27. Xiancheng Hu, Liansuo Wei, Wei Chen, Qiqi Chen, and Yuan Guo. Color image encryption algorithm based on dynamic chaos and matrix convolution. IEEE Access, 8:12452-12466, 2020.
  28. Hisham H. Hussein, Wassim Alexan, Mohamed ElBeltagy, and Amr Aboshousha. Visual data security incorporating fibonacci sequence, S-box, and chaos theory. In 2022 International Conference on Smart Systems and Power Management (IC2SPM), pages 85-90, 2022.
  29. Nadeem Iqbal, Rizwan Ali Naqvi, Muhammad Atif, Muhammad Adnan Khan, Muhammad Hanif, Sagheer Abbas, and Dildar Hussain. On the image encryption algorithm based on the chaotic system, DNA encoding, and castle. IEEE Access, 9:118253-118270, 2021.
  30. KC Jithin and Syam Sankar. Colour image encryption algorithm combin- ing, Arnold map, DNA sequence operation, and a Mandelbrot set. Journal of Information Security and Applications, 50:102428, 2020.
  31. Majid Khan and Fawad Masood. A novel chaotic image encryption technique based on multiple discrete dynamical maps. Multimedia Tools and Applications, 78(18):26203-26222, 2019.
  32. Majid Khan and Tariq Shah. An efficient chaotic image encryption scheme. Neural Computing and Applications, 26(5):1137-1148, 2015.
  33. Manju Kumari and Shailender Gupta. Performance comparison between chaos and quantum-chaos based image encryption techniques. Multimedia Tools and Applications, 80(24):33213-33255, 2021.
  34. C.P. Li, W.H. Deng, and D. Xu. Chaos synchronization of the Chua system with a fractional order. Physica A: Statistical Mechanics and its Applications, 360(2):171-185, 2006.
  35. Hui Liu, Bo Zhao, and Linquan Huang. Quantum image encryption scheme using Arnold transform and S-box scrambling. Entropy, 21(4):343, 2019.
  36. Zhentao Liu, Chunxiao Wu, Jun Wang, and Yuhen Hu. A color image encryption using dynamic DNA and 4-D memristive hyper-chaos. IEEE Access, 7:78367-78378, 2019.
  37. Fawad Masood, Junaid Masood, Lejun Zhang, Sajjad Shaukat Jamal, Wadii Boulila, Sadaqat Ur Rehman, Fadia Ali Khan, and Jawad Ahmad. A new color image encryption technique using DNA computing and chaos- based substitution box. Soft Computing, pages 1-17, 2021.
  38. Juan J Montesinos-García and Rafael Martinez-Guerra. Colour image encryption via fractional chaotic state estimation. IET Image Processing, 12(10):1913-1920, 2018.
  39. Fatih Özkaynak. An analysis and generation toolbox for chaotic substitu- tion boxes: A case study based on chaotic labyrinth rene thomas system. Iranian Journal of Science and Technology, Transactions of Electrical Engineering, 44(1):89-98, 2020.
  40. Vinay S, Adarsh Pujar, Ankith, H.Akshay Kedlaya, and Vasudev S Sha- hapur. Implementation of DNA cryptography based on dynamic DNA se- quence table using cloud computing. International Journal of Engineering Research & Technology, 7, Jun 2019.
  41. Yuanyuan Si, Hongjun Liu, and Yuehui Chen. Constructing a 3d exponen- tial hyperchaotic map with application to prng. International Journal of Bifurcation and Chaos, 32(07):2250095, 2022.
  42. Nan Sun, Chang-Tsun Li, Hin Chan, Ba Dung Le, Md Zahidul Islam, Leo Yu Zhang, Md Rafiqul Islam, and Warren Armstrong. Defining security requirements with the common criteria: Applications, adoptions, and challenges. IEEE Access, 10:44756-44777, 2022.
  43. Mohammad Saleh Tavazoei. Fractional order chaotic systems: history, achievements, applications, and future challenges. The European Physical Journal Special Topics, 229:887-904, 2020.
  44. Noorul Hussain UbaidurRahman, Chithralekha Balamurugan, and Ra- japandian Mariappan. A novel string matrix data structure for DNA encoding algorithm. Procedia Computer Science, 46:820-832, 2015. Proceedings of the International Conference on Information and Commu- nication Technologies, ICICT 2014, 3-5 December 2014 at Bolgatty Palace & Island Resort, Kochi, India.
  45. Ikram Ullah, Naveed Ahmed Azam, and Umar Hayat. Efficient and secure substitution box and random number generators over mordell elliptic curves. Journal of Information Security and Applications, 56:102619, 2021.
  46. Yujing Wang, Chenchen Wu, Shouqiang Kang, Qingyan Wang, and VI Mikulovich. Multi-channel chaotic encryption algorithm for color image based on DNA coding. Multimedia Tools and Applications, pages 1-26, 2020.
  47. Zhenya Yan. Controlling hyperchaos in the new hyperchaotic Chen system. Applied Mathematics and Computation, 168(2):1239-1250, 2005.
  48. Seifeldin Yasser, Adham Hesham, Mahmoud Hassan, and Wassim Alexan. Aes-secured bit-cycling steganography in sliced 3D images. In 2020 International Conference on Innovative Trends in Communication and Computer Engineering (ITCE), pages 227-231. IEEE, 2020.
  49. Erdem Yavuz. A new parallel processing architecture for accelerating image encryption based on chaos. Journal of Information Security and Applications, 63:103056, 2021.
  50. Irfan Younas and Majid Khan. A new efficient digital image encryption based on inverse left almost semi group and Lorenz chaotic system. Entropy, 20(12):913, 2018.

Cited by

Sorted by citations

Authors
Gabr, M., Elias, R., Hosny, K. M., Papakostas, G. A., & Alexan, W.
Affiliations
  • German University in Cairo (EG)
  • Zagazig University (EG)
  • International Hellenic University (GR)
  • German International University (EG)
Venue
IEEE Access
Published
2023
Volume
11
Pages
85002-85030
ISSN
2169-3536 (ISSN-L)
OpenAlex
W4385486455
Cited by
72
References
2
Citations by year
2026: 8 · 2025: 33 · 2024: 27 · 2023: 4
FWCI
6.53
Type
journal article
Language
en
Open access
Locations
  • IEEE Access (publishedVersion, cc-by-nc-nd)
  • DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion, cc-by-sa)
Funders
Hellenic Academic Libraries (HEAL)-Link in OA mode
Topics
  • Physical Sciences › Computer Science › Computer Vision and Pattern Recognition › Chaos-based Image/Signal Encryption
  • Physical Sciences › Computer Science › Artificial Intelligence › Computer Science and Engineering
  • Physical Sciences › Computer Science › Computer Vision and Pattern Recognition › Advanced Steganography and Watermarking Techniques
Keywords
image encryption, pseudorandom number generators, memristive circuits, hybrid chaotic system, encryption keys, data diffusion, confusion

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