Combining Two Chaos Maps and Determining Selective Methods for MSB Bits in a Digital Image Encryption Algorithm

Rinaldi Munir

doi:10.35671/jmtt.v3i3.63

Authors

Rinaldi Munir Institut Teknologi Bandung

DOI:

https://doi.org/10.35671/jmtt.v3i3.63

Keywords:

Encryption, Image, Chaos, Selective, Arnold Cat Map, Logistic Map

Abstract

In order to reduce the computational volume, we employ selective encryption approaches in conjunction with a chaos-based picture encryption algorithm in this research. Two chaos maps are used, namely Arnold Cat Map and Logistic Map. Before encryption, the image is scrambled with Arnold Cat Map, then selective encryption techniques are applied by selecting only four MSB bits from each pixel to be XORed with the keystream generated from the Logistic Map. Experimental results show that the use of both chaos functions can produce confusion and diffusion effects, and the use of selective encryption techniques only processes 50% of the entire image data. The encrypted image shows a relatively uniformly distributed histogram, making it difficult for attackers to perform statistical analysis to find the key or plain image. Chaos sensitivity shows that this algorithm is safe from exhaustive-key search attacks. This method is sensitive to modest changes in the key, making it safe from exhaustive-key search assaults, according to experiments conducted by gently altering the initial value of chaos. This technique is immune to brute-force attacks because of its sufficiently huge key space.

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Author Biography

Rinaldi Munir, Institut Teknologi Bandung

School of Electrical Engineering and Informatics, Bandung Institute of Technology, Bandung, Indonesia

References

L. E. George, E. K. Hassan, S. G. Mohammed, and F. G. Mohammed, “Selective image encryption based on DCT, hybrid shift coding and randomly generated secret key,” Iraqi J. Sci., pp. 920–935, 2020.

N. Iqbal et al., “On the image encryption algorithm based on the chaotic system, dna encoding, and castle,” IEEE Access, vol. 9, pp. 118253–118270, 2021.

A. ur Rehman, X. Liao, A. Kulsoom, and S. A. Abbas, “Selective encryption for gray images based on chaos and DNA complementary rules,” Multimed. Tools Appl., vol. 74, pp. 4655–4677, 2015.

S. Kaur and D. Gupta, “A review of image encryption schemes based on the chaotic map,” Int. J. Comput. Technol. Appl., vol. 5, no. 1, p. 144, 2014.

X. Liu, Y. Song, and G.-P. Jiang, “Hierarchical bit-level image encryption based on chaotic map and feistel network,” Int. J. Bifurc. Chaos, vol. 29, no. 02, p. 1950016, 2019.

A. Kulsoom, D. Xiao, and S. A. Abbas, “An efficient and noise resistive selective image encryption scheme for gray images based on chaotic maps and DNA complementary rules,” Multimed. Tools Appl., vol. 75, pp. 1–23, 2016.

A. Shafique and J. Shahid, “Novel image encryption cryptosystem based on binary bit planes extraction and multiple chaotic maps,” Eur. Phys. J. Plus, vol. 133, no. 8, p. 331, 2018.

S. S. Moafimadani, Y. Chen, and C. Tang, “A new algorithm for medical color images encryption using chaotic systems,” Entropy, vol. 21, no. 6, p. 577, 2019.

S. Som, A. Mitra, S. Palit, and B. B. Chaudhuri, “A selective bitplane image encryption scheme using chaotic maps,” Multimed. Tools Appl., vol. 78, pp. 10373–10400, 2019.

Y. Liu, Z. Qin, and J. Wu, “Cryptanalysis and enhancement of an image encryption scheme based on bit-plane extraction and multiple chaotic maps,” IEEE Access, vol. 7, pp. 74070–74080, 2019.

A. Ur Rehman, D. Xiao, A. Kulsoom, M. A. Hashmi, and S. A. Abbas, “Block mode image encryption technique using two-fold operations based on chaos, MD5 and DNA rules,” Multimed. Tools Appl., vol. 78, no. 7, pp. 9355–9382, 2019.

R. Premkumar and S. Anand, “Secured and compound 3-D chaos image encryption using hybrid mutation and crossover operator,” Multimed. Tools Appl., vol. 78, pp. 9577–9593, 2019.

H. Kolivand, S. F. Hamood, S. Asadianfam, and M. S. Rahim, “Image encryption techniques: A comprehensive review,” Multimed. Tools Appl., 2024.

T. M. Hoang, M.-H. Hoang, and Q.-A. Pham, “Dynamical Selective Image Encryption Using Chaos,” in 2024 9th International Conference on Integrated Circuits, Design, and Verification (ICDV), 2024, pp. 67–72.

M. Lyle, P. Sarosh, and S. A. Parah, “Adaptive image encryption based on twin chaotic maps,” Multimed. Tools Appl., vol. 81, no. 6, pp. 8179–8198, 2022.

T. M. Hoang, “A novel design of multiple image encryption using perturbed chaotic map,” Multimed. Tools Appl., vol. 81, no. 18, pp. 26535–26589, 2022.

J. Shankar and C. Nandini, “Hybrid hyper chaotic map with LSB for image encryption and decryption,” Scalable Comput. Pract. Exp., vol. 23, no. 4, pp. 181–192, 2022.