Bit-level image encryption algorithm based on chaotic systems and DNA encoding

Tingting Liu , Dongsheng Cheng , An Song

Electronic Research Archive ›› 2025, Vol. 33 ›› Issue (10) : 7172 -7197.

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Electronic Research Archive ›› 2025, Vol. 33 ›› Issue (10) :7172 -7197. DOI: 10.3934/era.2025317
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Bit-level image encryption algorithm based on chaotic systems and DNA encoding
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Abstract

The image encryption technology is an important means to ensure network digital data transmission security. To improve the security and encryption computational efficiency, we proposed a novel bit-level image encryption algorithm that integrates hyper-chaotic systems with DNA encoding operations. First, we generated high-quality pseudo-random sequences through K-means clustering, which were applied to hyper-chaotic sequences; second, we implemented multi-level scrambling at both bit-plane and bit-level; finally, we employed dynamic DNA encoding rules combined with bidirectional diffusion. Experimental results demonstrated that the proposed algorithm achieves a large key space (approximately256), high information entropy (close to 7.9899), and strong resistance to differential attacks (NPCR = 99.61%, UACI ≈ 33.46%). Our results also showed that the histograms of the encrypted images are even, and the correlation coefficients approach 0. Moreover, the proposed algorithm can effectively resist the chosen plaintext attack, brute force attack, clipping attack, salt and pepper noise attack, etc.

Keywords

image encryption / bit-level encryption / security analysis / hyper-chaotic system / DNA encoding / K-means clustering

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Tingting Liu, Dongsheng Cheng, An Song. Bit-level image encryption algorithm based on chaotic systems and DNA encoding. Electronic Research Archive, 2025, 33 (10) : 7172-7197 DOI:10.3934/era.2025317

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References

[1]

T. Umar, M. Nadeem, F. Anwer, Chaos based image encryption scheme to secure sensitive multimedia content in cloud storage, Expert Syst. Appl., 257 (2024), 125050. https://doi.org/10.1016/j.eswa.2024.125050

[2]

T. W. Kang, A multidimensional image encryption and decryption technology, J. Franklin Inst., 361 (2024), 107315. https://doi.org/10.1016/j.jfranklin.2024.107315

[3]

F. Yu, S. He, W. Yao, S. Cai, Q. Xu, Bursting firings in memristive hopfield neural network with image encryption and hardware implementation, IEEE Trans. Comput. Aided Des. Integr. Circuits Syst., 2025. https://doi.org/10.1109/TCAD.2025.3567878

[4]

B. S. Liu, J. Sun, Z. Q. Xu, An improved image encryption algorithm based on chaotic system, J. Comput., 4 (2009), 1091-1100. https://doi.org/10.4304/jcp.4.11.1091-1100

[5]

R. Matthews, On the derivation of a “chaotic” encryption algorithm, Cryptologia, 13 (1989), 29-42. https://doi.org/10.1080/0161-118991863745

[6]

Q. S. Gao, X. Q. Zhang, Multiple-image encryption algorithm based on a new composite chaotic system and 3D coordinate matrix, Chaos Solitons Fractals, 189 (2024), 115587. https://doi.org/10.1016/j.chaos.2024.115587

[7]

J. Lu, X. Xue, X. Q. Zhang, R. Y. Zhao, Y. S. Zhang, Multiple-image encryption algorithm based on a new 3D hyperchaotic map and Whac-A-Mole scrambling model, Expert Syst Appl., 290 (2025), 128393. https://doi.org/10.1016/j.eswa.2025.128393.

[8]

I. Al-Dayel, M. F. Nadeem, M. A. Khan, B. S. Abraha, An image encryption scheme using 4-D chaotic system and cellular automaton, Sci. Rep., 15 (2025), 19499. https://doi.org/10.1038/s41598-025-95511-y

[9]

W. Alexan, K. Hosny, M. Gabr, A new fast multiple color image encryption algorithm, Cluster Computing, 325 (2025). https://doi.org/10.1007/s10586-024-04919-0

[10]

W. Alexan, N. H. E. Shabasy, N. Ehab, E. A. Maher, A secure and efficient image encryption scheme based on chaotic systems and nonlinear transformations, Sci. Rep., 15 (2025), 31246. https://doi.org/10.1038/s41598-025-15794-z

[11]

M. Youssef, M. Gabr, W. Alexan, M. B. M. Mansour, K. Kamal, H. Hosny, Enhancing satellite image security through multiple image encryption via hyperchaos, SVD, RC5, and dynamic S-Box generation, IEEE Access, 12 (2024), 123921-123945. https://doi.org/10.1109/ACCESS.2024.3454512

[12]

F. Yu, Y. M. Gracia, R. Guo, Z. Ying, J. Xu, W. Yao, et al., Dynamic analysis and application of 6D multistable memristive chaotic system with wide range of hyperchaotic states, Axioms, 14 (2025), 638. https://doi.org/10.3390/axioms14080638

[13]

W. Alexan, M. Youssef, H. H. Hussein, K. K. Ahmed, K. M. Hosny, A. Fathy, et al., A new multiple image encryption algorithm using hyperchaotic systems, SVD, and modified RC5, Sci. Rep., 15 (2025), 9775. https://doi.org/10.1038/s41598-025-92065-x

[14]

K. Pandey, D. Sharma, Novel image encryption algorithm utilizing hybrid chaotic maps and Elliptic Curve Cryptography with genetic algorithm, J. Inf. Secur. Appl., 89 (2025), 103995. https://doi.org/10.1016/j.jisa.2025.103995

[15]

W. Feng, K. Y. Zhang, J. Zhang, X. Y. Zhao, Y. Chen, B. Cai, et al., Integrating fractional-order hopfield neural network with differentiated encryption: Achieving high-performance privacy protection for medical images, Fractal Fract., 9 (2025), 426. https://doi.org/10.3390/fractalfract9070426

[16]

W. Feng, J. Zhang, Y. Chen, Z. T. Qin, Y. S. Zhang, M. Ahmad, et al., Exploiting robust quadratic polynomial hyperchaotic map and pixel fusion strategy for efficient image encryption, Expert Syst. Appl., 246 (2024), 123190. https://doi.org/10.1016/j.eswa.2024.123190

[17]

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

[18]

L. Moysis, M. Lawnik, W. Alexan, S. K. Goudos, M. S. Baptista, G. Fragulis, Exploiting circular shifts for efficient chaotic image encryption, IEEE Access, 13 (2025), 92997-93016. https://doi.org/10.1109/ACCESS.2025.3572589

[19]

W. Alexan, Y. Megalli, A new fast high dimensional and memristive hyperchaotic multiple image encryption method and its FPGA implementation. Discover Electron., 2 (2025), 75. https://doi.org/10.1007/s44291-025-00116-4

[20]

S. Gao, R. Wu, H. H. Iu, U. Erkan, Y. H. Cao, Q. Li, et al., Chaos-based video encryption techniques: A review, Comput. Sci. Rev., 58 (2025), 100816. https://doi.org/10.1016/j.cosrev.2025.100816

[21]

S. Gao, H. H. Iu, U. Erkan, C. Simsek, A. Toktas, Y. H. Cao, A 3D memristive cubic map with dual discrete memristors: Design, implementation, and application in image encryption, IEEE Trans. Circuits Syst. Video Technol., 35 (2025), 7706-7718. https://doi.org/10.1109/TCSVT.2025.3545868

[22]

S. Gao, S. Q. Ding, H. H. Iu, U. Erkan, A. Toktas, C. Simsek, et al., A three-dimensional memristor-based hyperchaotic map for pseudorandom number generation and multi-image encryption, Chaos, 35 (2025), 073105. https://doi.org/10.1063/5.0270220

[23]

S. Gao, Z. Y. Zhang, H. H. Iu, S. Q. Ding, J. Mou, U. Erkan, et al., A parallel color image encryption algorithm based on a 2-D logistic-rulkov neuron map, IEEE Internet Things J., 12 (2025), 18115-18124. https://doi.org/10.1109/JIOT.2025.3540097

[24]

S. Gao, Z. Y. Zhang, Q. Li, S. Q. Ding, H. H. Iu, Y. H. Cao, et al., Encrypt a story: A video segment encryption method based on the discrete sinusoidal memristive rulkov neuron, IEEE Trans. Dependable Secure Comput., 22 (2025), 8011-8024. https://doi.org/10.1109/TDSC.2025.3603570

[25]

L. Chen, C. Q. Li, C. Li, Security measurement of a medical communication scheme based on chaos and DNA coding, J. Visual Commun. Image Represent., 83 (2022), 103424. https://doi.org/10.1016/j.jvcir.2021.103424

[26]

W. Feng, J. Zhang, Z. T. Qin, Y. G. He, Cryptanalysis of image encryption algorithm based on variable step length Josephus traversing and DNA dynamic encoding, J. Electron. Inf. Technol., 44 (2022), 3635-3642. https://doi.org/10.11999/JEIT210791

[27]

W. Feng, Z. Qin, J. Zhang, M. Ahmad, Cryptanalysis and improvement of the image encryption scheme based on Feistel network and dynamic DNA encoding, IEEE Access, 9 (2021), 145459-145470. https://doi.org/10.1109/ACCESS.2021.3123571

[28]

M. J. Zhao, L. X. Li, Z. Yuan, A multi-image encryption scheme based on a new n-dimensional chaotic model and eight-base DNA, Chaos, Solitons Fractals, 186 (2024), 115332. https://doi.org/10.1016/j.chaos.2024.115332

[29]

L. M. Wu, Z. J. Tian, W. Chen, Color image encryption scheme based on 5D fractional-order complex chaotic system and eight-base DNA cubes, Expert Syst. Appl., 299 (2026), 129950. https://doi.org/10.1016/j.eswa.2025.129950.

[30]

M. Alawida, A novel DNA tree-based chaotic image encryption algorithm, J. Inf. Secur. Appl., 83 (2024), 103791. https://doi.org/10.1016/j.jisa.2024.103791

[31]

X. D. Wang, X. B. Liu, J. W. Peng, A novel image encryption scheme based on a 3D enhanced chaotic map and DNA computing model, J. Franklin Inst., 362 (2025), 107790. https://doi.org/10.1016/j.jfranklin.2025.107790

[32]

J. X. Tian, X. Q. Zhang, M. Liu, S. C. Jin, D. X. Shi, S. W. Yang, Remote sensing image encryption algorithm based on DNA convolution, J. Supercomput., 566 (2025). https://doi.org/10.1007/s11227-025-06982-9

[33]

L. L. Zhou, Q. L. Chen, F. Tan, C. X. Wu, A chaotic-system-based parallel image encryption algorithm with orthogonal arrays supporting thumbnail decryption, Expert Syst. Appl., 297 (2026), 129272. https://doi.org/10.1016/j.eswa.2025.129272

[34]

J. F. Jie, Y. Yang, P. Zhang, The construction method of chaotic system model based on state variables and uncertain variables and its application in image encryption, Appl. Math. Modell., 144 (2025), 116097. https://doi.org/10.1016/j.apm.2025.116097

[35]

J. H. Wu, X. F. Liao, B. Yang, Image encryption using 2D Hénon-Sine map and DNA approach, Signal Process., 153 (2018), 11-23. https://doi.org/10.1016/j.sigpro.2018.06.008

[36]

J. X. Chen, L. Chen, Y. C. Zhou, Cryptanalysis of a DNA-based image encryption scheme, Inf. Sci., 520 (2020), 130-141. https://doi.org/10.1016/j.ins.2020.02.024

[37]

X. L. Chai, Y. R. Chen, L. Broyde, A novel chaos-based image encryption algorithm using DNA sequence operations, Opt. Lasers Eng., 88 (2017), 197-213. https://doi.org/10.1016/j.optlaseng.2016.08.009

[38]

P. F. Fang, M. M. Lou, M. Liu, H. Liu, Image encryption algorithm based on hyperchaotic system and DNA coding, in International Conference on Computer Communication and Artificial Intelligence (CCAI), IEEE, (2021), 41-46. https://doi.org/10.1109/CCAI50917.2021.9447470

[39]

H. J. Liu, Z. L. Zhu, H. Y. Jiang, B. L. Wang, A novel image encryption algorithm based on improved 3D chaotic cat map, in 2008 The 9th International Conference for Young Computer Scientists, (2008), 3016-3021. https://doi.org/10.1109/ICYCS.2008.449

[40]

T. G. Gao, Z. Q. Chen, Z. Z. Yuan, G. R. Chen, A hyperchaos generated from Chen’s system, Int. J. Mod. Phys. C, 17 (2006), 471-478. https://doi.org/10.1142/S0129183106008625

[41]

Y. Zhu, C. Wang, J. Sun, F. Yu, A chaotic image encryption method based on the artificial fish swarms algorithm and the DNA coding, Mathematics, 11 (2023), 767. https://doi.org/10.3390/math11030767

[42]

L. M. Adleman, Molecular computation of solutions to combinatorial problems, Science, 266 (1994), 1021-1024. https://doi.org/10.1126/science.7973651

[43]

G. Alvarez, S. J. Li, Some basic cryptographic requirements for chaos-based cryptosystems, Int. J. Bifurcation Chaos, 16 (2006), 2129-2151. https://doi.org/10.1142/S0218127406015970

[44]

J. H. Sun, X. Q. Zhang, C. X. Chen, Image encryption algorithm based on V-shaped scanning and matrix multiplication, Phys. Scr., 100 (2025), 035218. https://doi.org/10.1088/1402-4896/adb103

[45]

B. Rezaei, H. Ghanbari, R. Enayatifar, An image encryption approach using tuned Henon chaotic map and evolutionary algorithm, Nonlinear Dyn., 111 (2023), 9629-9647. https://doi.org/10.1007/s11071-023-08331-y

[46]

X. Y. Wang, M. C. Zhao, An image encryption algorithm based on hyperchaotic system and DNA coding, Opt. Laser Technol., 143 (2021), 107316. https://doi.org/10.1016/j.optlastec.2021.107316

[47]

Y. J. Xian, X. Y. Wang, X. P. Yan, Q. Li, X. Y. Wang, Image encryption based on chaotic sub-block scrambling and chaotic digit selection diffusion, Opt. Lasers Eng., 134 (2020), 106202. https://doi.org/10.1016/j.optlaseng.2020.106202

[48]

X. Wang, C. Liu, A novel and effective image encryption algorithm based on chaos and DNA encoding, Multimedia Tools Appl., 76 (2017), 6229-6245. https://doi.org/10.1007/s11042-016-3311-8

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