A Low Computational Cost RGB Color Image Encryption Scheme Process based on PWLCM Confusion, Z/nZ Diffusion and ECBC Avalanche Effect

Faiq Gmira; Wafae Sabbar; Said Hraoui

doi:10.5614/itbj.ict.res.appl.2022.16.3.4

Authors

Faiq Gmira Innovative Technologies Laboratory (LTI), Sidi Mohamed Ben Abdellah University, Route Imouzzer, PO Box 262, 30000 Fez, Morocco.
Wafae Sabbar Intelligence Machine Laboratory (LIM), Faculty of Sciences and Technic, University Hassan II, Mohammedia, Morocco
Said Hraoui Artificial Intelligence and Data Science and Emerging Emerging Systems Laboratory (LIASSE), University Sidi Mohamed Ben Abdellah , Route Imouzzer, PO Box 262, 30000, Fez, Morocco

DOI:

https://doi.org/10.5614/itbj.ict.res.appl.2022.16.3.4

Keywords:

avalanche effect, chaos enhancement, cipher block chaining enhancement, color images encryption, confusion, diffusion, ring-homomorphic operation

Abstract

In this work, three sub-processes are serially integrated into just one process in order to construct a robust new image encryption scheme for all types of images, especially color images. This integration architecture aims to create a robust avalanche effect property while respecting the constraints of confusion and diffusion that have been identified by Claude Shannon as properties required of a secure encryption scheme. The performance of the proposed encryption scheme is measured and discussed with several analyses, including computational cost analysis, key space analysis, randomness metrics analysis, histogram analysis, adjacent pixel correlation, and entropy analysis. The experimental results demonstrated and validated the performance and robustness of the proposed scheme.

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References

Salman, F.A., & Salman, K.A., Enhanced Image Encryption Using Two Chaotic Maps, Journal of ICT Research and Applications, 14(2), pp. 134-148, 2020.

Kusuma, E.J., Sari, C.A., Rachmawanto, E.H., & Setiadi, D.R.I.M., A Combination of Inverted LSB, RSA, and Arnold Transformation to get Secure and Imperceptible Image Steganography, Journal of ICT Research and Applications, 12(2), pp. 103-122, 2018.

Shannon, C.E., Communication Theory of Secrecy Systems, Bell System Technical Journal, 28(4), pp. 656-715, 1949.

ElKamchouchi, D.H. , Mohamed, H.G. & Moussa, K.H., A Bijective Image Encryption System Based on Hybrid Chaotic Map Diffusion and DNA Confusion, Entropy (Basel, Switzerland), 22(2), 180, 2020.

Nachef, V. , Patarin, J. & Volte, E., Feistel Ciphers: Security Proofs and Cryptanalysis, ISBN 978-3-319-49528-6, 2017.

Chen, Y., Tang, C. & Yi, Z., A Novel Image Encryption Scheme Based on PWLCM and Standard Map, Complexity, 2020, 3026972, 23 pages, 2020.

Hraoui, S., Gmira, F. & Abbou, M.F., A Chaotic Cryptosystem for Color Images Using Pixel-Level and Bit-Level Pseudo-Random Permutations, Innovations in Smart Cities Applications Edition 2, ISBN: 978-3-030-11195-3, 2019.

Thoms, G., Muresan, R. & Al-Dweik, A., Design of Chaotic Block Cipher Operation Mode for Intelligent Transportation Systems, 2019 IEEE International Conference on Consumer Electronics (ICCE), 2019, pp. 1-4, 2019. DOI: 10.1109/ICCE.2019.8661961.

Li, S., Chen, G. & Mou, X., On the Dynamical Degradation of Digital Piecewise Linear Chaotic Maps, The Tutorial-Review section of International Journal of Bifurcation and Chaos in August 2004, 15(10), pp. 3119-3151, 2005.

Muhammad, F.K., Design and Implementation a New Approach for Enhancing Encryption and Decryption Mechanisms, 3rd International Conference of Education, Research and Innovation, Madrid, Spain, 15-17 November 2010.

Euler, L., Theorems on Residues Obtained by The Division of Powers, Novi Comment. acad. sc. Petrop., 7, pp. 49-82, 1761.

University of Southern California, Signal and Image Processing Institute, The USC-SIPI Image Database. http://sipi.usc.edu/database/. (June 2022).

Wu, Y., Noonan, J.P. & Agaian, S., NPCR and UACI Randomness Tests for Image Encryption, Cyber Journals: Multidisciplinary Journals in Science and Technology, Journal of Selected Areas in Telecommunication (JSAT), April, pp. 31-38, 2011.

Maleki, F., Mohades, A., Hashemi, S.M. & Shiri, M.E., An Image Encryption System by Cellular Automata with Memory, in: Third International Conference on Availability, Reliability and Security, 2008, ARES 08, IEEE, pp. 1266-1271, 2008.

Gmira, F., Hraoui, S., Saaidi, A., Jarrar Oulidi A. & Satori, K., An Optimized Dynamically-random Chaos Based Cryptosystem for Secure Images, Applied Mathematical Sciences, 8(4), pp. 173-191, 2014.

Hraoui, S., Gmira, F., Oulidi Jarar, A., Satori, K. & Saaidi, A., Benchmarking AES and Chaos Based Logistic Map for Image Encryption, Computer Systems and Applications (AICCSA), 2013 ACS Int. Conf. on IEEE Conf. Pub., 2013.

Belazi, A., Abd El-Latif, A.A. & Belghith, S., A Novel Image Encryption Scheme Based on Substitution-Permutation Network and Chaos, Signal Processing, 128, pp. 155-170, November 2016. DOI: 10.1016/j.sigpro.2016.03.021.

Radu Boriga, R., D?sc?lescu , A.C. & Priescu, I., A New Hyperchaotic Map and Its Application in an Image Encryption Scheme, Signal Processing: Image Communication, 29(8), pp. 887-890, September 2014. DOI: 10.1016/j.image.2014.04.001.