Research on Color Image Encryption Algorithm Based on Bit-Plane and Chen Chaotic System
Open accessAbstract
In response to the problems of high complexity and the large amount of operations of existing color image encryption algorithms, a low-complexity, low-operation color image encryption algorithm based on a combination of bit-plane and chaotic systems is proposed that is interrelated with plaintext information. Firstly, three channels of an RGB image are extracted, and the gray value of each pixel channel can be expressed by an eight-bit binary number. The higher- and lower-four bits of the binary gray value of each pixel are exchanged, and the position of each four-bit binary number is scrambled by a logistic chaotic sequence, and all the four-bit binary numbers are converted into hexadecimal numbers to reduce the computational complexity. Next, the position of the transformed image is scrambled by a logistic chaotic sequence. Then, the Chen chaos sequence is used to permute the gray pixel values of the permuted image. Finally, the gray value of the encrypted image is converted into a decimal number to form a single-channel encrypted image, and the three-channel encrypted image is synthesized into an encrypted color image. Through MATLAB simulation experiments, a security analysis of encryption effects in terms of a histogram, correlation, a differential attack, and information entropy is performed. The results show that the algorithm has a better encryption effect and is resistant to differential attacks.
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
In Xu and Zhao's color bitplane image-encryption algorithm, relating the initial chaotic-system parameters for each channel to plaintext information from the current and the other two channels enlarged the key space.
“The initial parameters of the chaotic system used in the encryption process of each channel in the color image are related to the plaintext information of the current channel and the other two channels, which made the key space larger.”
From Chaos-Based Image Encryption: Review, Application, and Challenges (2023) · cites this paper as [74]
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Cites
A new 1D chaotic system for image encryption
Zhou, Y., Bao, L., & Chen, C. L. P. (2014) · Signal Processing · doi:10.1016/j.sigpro.2013.10.034 · Cited by 859 · see citing works
A novel chaotic block image encryption algorithm based on dynamic random growth technique
Wang, X., Liu, L., & Zhang, Y. (2015) · Optics and Lasers in Engineering · doi:10.1016/j.optlaseng.2014.08.005 · Cited by 434 · see citing works
Chaos-based image encryption using a hybrid genetic algorithm and a DNA sequence
Enayatifar, R., Abdullah, A. H., & Isnin, I. F. (2014) · Optics and Lasers in Engineering · doi:10.1016/j.optlaseng.2013.12.003 · Cited by 407 · see citing works
Zhou, N., Zhang, A., Zheng, F., & Gong, L.-H. (2014) · Optics & Laser Technology · doi:10.1016/j.optlastec.2014.02.015 · Cited by 325 · see citing works
Zefreh, E. Z. (2020) · Multimedia Tools and Applications · doi:10.1007/s11042-020-09111-1 · Cited by 199 · see citing works
On the Design of Perceptual MPEG-Video Encryption Algorithms
Li, S., Chen, G., Cheung, A., Bhargava, B., & Lo, K. (2007) · IEEE Transactions on Circuits and Systems for Video Technology · doi:10.1109/tcsvt.2006.888840 · Cited by 175 · see citing works
A color image encryption with heterogeneous bit-permutation and correlated chaos
Wang, X., & Zhang, H. (2014) · Optics Communications · doi:10.1016/j.optcom.2014.12.043 · Cited by 163 · see citing works
Kaur, M., Singh, D., Sun, K., & Rawat, U. (2020) · Future Generation Computer Systems · doi:10.1016/j.future.2020.02.029 · Cited by 140 · see citing works
A novel image encryption algorithm based on SPWLCM and DNA coding
Zhang, S., & Liu, L. (2021) · Mathematics and Computers in Simulation · doi:10.1016/j.matcom.2021.06.012 · Cited by 101 · see citing works
A Novel Chaos-Based Color Image Encryption Scheme Using Bit-Level Permutation
Li, Z., Peng, C., Tan, W., & Li, L. (2020) · Symmetry · doi:10.3390/sym12091497 · Cited by 87 · see citing works
Hasanzadeh, E., & Yaghoobi, M. (2019) · Multimedia Tools and Applications · doi:10.1007/s11042-019-08342-1 · Cited by 77 · see citing works
Simple colour image cryptosystem with very high level of security
Zhou, S., Wang, X., Wang, M., & Zhang, Y. (2020) · Chaos Solitons & Fractals · doi:10.1016/j.chaos.2020.110225 · Cited by 75 · see citing works
A secure image encryption scheme based on a novel 2D sine–cosine cross-chaotic (SC3) map
Mondal, B., Behera, P. K., & Gangopadhyay, S. (2020) · Journal of Real-Time Image Processing · doi:10.1007/s11554-019-00940-4 · Cited by 74 · see citing works
Fractional-order 4D hyperchaotic memristive system and application in color image encryption
Li, P., Xu, J., Mou, J., & Yang, F. (2019) · EURASIP Journal on Image and Video Processing · doi:10.1186/s13640-018-0402-7 · Cited by 73 · see citing works
Self-citationKumar, V., Kumar, R., & Pandey, S. (2020) · Multimedia Tools and Applications · doi:10.1007/s11042-020-08904-8 · Cited by 73 · see citing works
Gong, L.-H., Liu, X., Zheng, F., & Zhou, N. (2013) · Journal of Modern Optics · doi:10.1080/09500340.2013.831139 · Cited by 72 · see citing works
A Chaos Based Image Encryption Scheme Using Digit-Level Permutation and Block Diffusion
Ping, P., Fan, J., Mao, Y., Xu, F., & Gao, J. Z. (2018) · IEEE Access · doi:10.1109/access.2018.2879565 · Cited by 68 · see citing works
Ran, Q., Wang, L., Ma, J., Tan, L., & Yu, S. (2018) · Quantum Information Processing · doi:10.1007/s11128-018-1958-y · Cited by 66 · see citing works
A fast encryption algorithm of color image based on four-dimensional chaotic system
Tong, X., Zhang, M., Wang, Z., Liu, Y., Xu, H., & Ma, J. (2015) · Journal of Visual Communication and Image Representation · doi:10.1016/j.jvcir.2015.09.014 · Cited by 59 · see citing works
A digital image encryption algorithm based on bit-planes and an improved logistic map
Liu, J., Yang, D., Zhou, H., & Chen, S. (2017) · Multimedia Tools and Applications · doi:10.1007/s11042-017-5406-2 · Cited by 45 · see citing works
Yet another multiple-image encryption by rotating random grids
Chen, T., Tsao, K.-H., & Lee, Y.-S. (2012) · Signal Processing · doi:10.1016/j.sigpro.2012.02.015 · Cited by 44 · see citing works
Amani, H. R., & Yaghoobi, M. (2019) · Multimedia Tools and Applications · doi:10.1007/s11042-018-6989-y · Cited by 44 · see citing works
Colored Image Encryption and Decryption with a New Algorithm and a Hyperchaotic Electrical Circuit
Arpacı, B., Kurt, E., Çelik, K., & Ciylan, B. (2020) · Journal of Electrical Engineering and Technology · doi:10.1007/s42835-020-00393-x · Cited by 36 · see citing works
Lossless progressive secret sharing for grayscale and color images
Prasetyo, H., & Hsia, C. (2019) · Multimedia Tools and Applications · doi:10.1007/s11042-019-7710-5 · Cited by 27 · see citing works
Color image DNA encryption using mRNA properties and non-adjacent coupled map lattices
Ghadirli, H. M., Nodehi, A., & Enayatifar, R. (2020) · Multimedia Tools and Applications · doi:10.1007/s11042-020-10014-4 · Cited by 24 · see citing works
Panwar, K., Purwar, R., & Jain, A. (2019) · International Journal of Bifurcation and Chaos in Applied Sciences and Engineering · doi:10.1142/s0218127419501037 · Cited by 23 · see citing works
A color image privacy scheme established on nonlinear system of coupled differential equations
Javeed, A., Shah, T., & Ullah, A. (2020) · Multimedia Tools and Applications · doi:10.1007/s11042-020-09582-2 · Cited by 12 · see citing works
Color Image Encryption using Hyper Chaos Chen
Roohbakhsh, D., & Yaghoobi, M. (2015) · International Journal of Computer Applications · doi:10.5120/19303-0752 · Cited by 8 · see citing works
A New Image Encryption Scheme Using Dual Chaotic Map Synchronization
(2020) · The International Arab Journal of Information Technology · doi:10.34028/iajit/18/1/11 · Cited by 6 · see citing works
Jarjar, M., Hraoui, S., Najah, S., & Zenkouar, K. (2021) · International Journal of Safety and Security Engineering · doi:10.18280/ijsse.110512 · Cited by 2 · see citing works
Flagged first, then by citations
Cited by
Sorted by citations
Chaos-Based Image Encryption: Review, Application, and Challenges
Zhang, B., & Liu, L. (2023) · Mathematics · doi:10.3390/math11112585 · Cited by 328 · see citing works
“In order to reduce the shortcomings of high complexity and the many operation processes of many encryption algorithms, Jiangjian Xu and Bing Zhao [74] introduced a color image-encryption algorithm based on bitplane information.”
MethodMulti-Image Encryption Algorithm Based on Novel Spatiotemporal Chaotic System and Fractal Geometry
Huang, L., & Gao, H. (2024) · IEEE Transactions on Circuits and Systems I Regular Papers · doi:10.1109/tcsi.2024.3407809 · Cited by 77 · see citing works
Bhutto, J. A., Tian, L., Du, Q., Sun, Z., Yu, L., & Tahir, M. F. (2022) · Entropy · doi:10.3390/e24030393 · Cited by 66 · see citing works
Li, D., Li, J., Di, X., & Li, B. (2022) · Nonlinear Dynamics · doi:10.1007/s11071-022-07949-8 · Cited by 62 · see citing works
An image encryption scheme based on a seven-dimensional hyperchaotic system and Pascal's matrix
Neamah, A. A. (2023) · Journal of King Saud University - Computer and Information Sciences · doi:10.1016/j.jksuci.2023.02.014 · Cited by 54 · see citing works
DNA image encryption algorithm based on serrated spiral scrambling and cross bit plane
Zhang, W., Xu, J., & Zhao, B. (2023) · Journal of King Saud University - Computer and Information Sciences · doi:10.1016/j.jksuci.2023.101858 · Cited by 43 · see citing works
Self-citationMallick, B., Parida, P., Nayak, C., Khalifa, T., Panda, M. K., Ali, N., Patil, G. U., & Prasad, B. (2025) · IEEE Access · doi:10.1109/access.2025.3558294 · Cited by 37 · see citing works
Wang, T., Ge, B., Xia, C., & Dai, G. (2022) · Entropy · doi:10.3390/e24081053 · Cited by 35 · see citing works
A new controllable multi-wing chaotic system: applications in high-security color image encryption
Ding, P., Geng, P., & Hu, W. (2024) · The Journal of Supercomputing · doi:10.1007/s11227-024-06635-3 · Cited by 27 · see citing works
Zhou, S., Tao, Z., Erkan, U., Toktaş, A., Iu, H. H., Zhang, Y., & Zhang, H. (2025) · Engineering Applications of Artificial Intelligence · doi:10.1016/j.engappai.2025.111017 · Cited by 23 · see citing works
Yogi, B., & Khan, A. K. (2025) · Computer Science Review · doi:10.1016/j.cosrev.2025.100759 · Cited by 21 · see citing works
Color image encryption base on a 2D hyperchaotic enhanced Henon map and cross diffusion
Hu, Y., Wu, H., & Zhou, L. (2023) · Alexandria Engineering Journal · doi:10.1016/j.aej.2023.04.060 · Cited by 21 · see citing works
Hadi, H. H., & Neamah, A. A. (2024) · Open Engineering · doi:10.1515/eng-2022-0552 · Cited by 15 · see citing works
Facial image encryption scheme based on improved 4-D hyperchaotic system
Zhang, X., Liu, M., & Niu, Y. (2025) · The Journal of Supercomputing · doi:10.1007/s11227-025-06943-2 · Cited by 15 · see citing works
Ding, P., Geng, P., Hu, W., Zhang, J., & Zhu, J. (2025) · Physica Scripta · doi:10.1088/1402-4896/add188 · Cited by 15 · see citing works
Ding, P., Zhu, J., & Zhang, J. (2024) · Physica Scripta · doi:10.1088/1402-4896/ad7237 · Cited by 14 · see citing works
A hybrid medical image cryptosystem based on 4D-hyperchaotic S-boxes and logistic maps
Ahmed, S. M., Elkamchouchi, H. M. A., ELfahar, A., El‐Shafai, W., & Mohamed, A. G. (2023) · Multimedia Tools and Applications · doi:10.1007/s11042-023-15925-6 · Cited by 13 · see citing works
ECC based novel color image encryption methodology using primitive polynomial
Sharma, P., Gupta, S., Nayyar, A., Harish, M., Gupta, K., & Sharma, A. K. (2024) · Multimedia Tools and Applications · doi:10.1007/s11042-024-18245-5 · Cited by 13 · see citing works
Mallick, B., Parida, P., Nayak, C., Panda, M. K., Prasad, B., & Sahu, G. (2025) · Optics Communications · doi:10.1016/j.optcom.2025.132240 · Cited by 12 · see citing works
Security Analysis of the Image Encryption Algorithm Based on a Two-Dimensional Infinite Collapse Map
Shi, G., Yu, S.-M., & Wang, Q. (2022) · Entropy · doi:10.3390/e24081023 · Cited by 6 · see citing works
Zhang, G., Zhao, Y., Zheng, Y., Shen, Y.-L., & Huang, J. M. (2025) · Mathematics · doi:10.3390/math13091497 · Cited by 9 · see citing works
Spatiotemporal patterns in FitzHugh–Nagumo network and its application in image encryption
Yao, Z., Sun, K., & Wang, H. (2025) · Neural Networks · doi:10.1016/j.neunet.2025.108204 · Cited by 9 · see citing works
Xu, Y., Liu, J., You, Z., & Zhang, T. (2024) · Mathematics · doi:10.3390/math12223457 · Cited by 8 · see citing works
Amdouni, R., Gafsi, M., Abbassi, N., Hajjaji, M. A., & Mtibaa, A. (2023) · Multimedia Tools and Applications · doi:10.1007/s11042-023-15027-3 · Cited by 8 · see citing works
Yu, T., Ma, W., Wang, Z., & Li, X. (2023) · The European Physical Journal Special Topics · doi:10.1140/epjs/s11734-023-00950-1 · Cited by 7 · see citing works
Color image encryption scheme based on 2D chaotic mapping and circular shifting
Hu, J., Zhang, J., Ye, Y., Jia, X., & Ma, M. (2025) · The Journal of Supercomputing · doi:10.1007/s11227-025-07992-3 · Cited by 6 · see citing works
A Chaos-Based Encryption Algorithm for Database System
Albahrani, E. A., Lafta, S. H., & Ghayad, N. H. (2023) · Journal of Cyber Security and Mobility · doi:10.13052/jcsm2245-1439.1212 · Cited by 5 · see citing works
Chaotic Real Number Generator with Quantum Wave Equation
Gençoğlu, M. T., Karaduman, Ö., & Özkaynak, F. (2025) · Symmetry · doi:10.3390/sym17030349 · Cited by 4 · see citing works
Omar, M., Kareem, S. R., & Salih, H. W. (2026) · Journal of Computer Virology and Hacking Techniques · doi:10.1007/s11416-026-00601-8 · Cited by 4 · see citing works
Block image encryption based on cascaded modulated sine chaotic system
Zhou, Y., Sun, C., Ge, B., & Xia, C. (2026) · Nonlinear Dynamics · doi:10.1007/s11071-026-12384-0 · Cited by 3 · see citing works
Aljaedi, A., Jamal, S. S., Aljuhni, A., Alharbi, A. R., & Shah, T. (2025) · Scientific Reports · doi:10.1038/s41598-025-12982-9 · Cited by 3 · see citing works
Taxonomy of Image Encryption Techniques - A Survey
Mahajan, V. T., & Sridaran, R. (2024) · Communications in computer and information science · doi:10.1007/978-3-031-59100-6_20 · Cited by 3 · see citing works
Chaotic Encryption Scheme for Colour Image using 3D Lorenz Chaotic Map and 3D Chen System
Mandangan, A., & Ying, I. L. J. (2024) · International Journal of Advanced Research in Computational Thinking and Data Science · doi:10.37934/ctds.1.1.1024 · Cited by 3 · see citing works
An Exponentially Delayed Feedback Chaotic Model Resistant to Dynamic Degradation and Its Application
Liu, B., Song, J., JIANG, N.-D., & Wang, Z. (2025) · Mathematics · doi:10.3390/math13142324 · Cited by 2 · see citing works
Protection of batch color images using a novel parallel cross-plane encryption scheme
Song, W., Liu, B., Fu, C., Yang, W., Chen, J., & Zhang, Y. (2026) · Cluster Computing · doi:10.1007/s10586-025-05901-0 · Cited by 2 · see citing works
Review of DNA-Based Color Image Encryption Algorithms
Shraida, G. (2022) · Iraqi Journal of Intelligent Computing and Informatics (IJICI) · doi:10.52940/ijici.v1i2.10 · Cited by 2 · see citing works
Hybrid Image Encryption Technique for Securing Color Images Transmitted Over Cloud Networks
(2023) · International journal of intelligent engineering and systems · doi:10.22266/ijies2023.1231.70 · Cited by 2 · see citing works
Kadhim, A. J., & Atia, T. S. (2023) · Al-Iraqia Journal of Scientific Engineering Research · doi:10.58564/ijser.2.3.2023.83 · Cited by 2 · see citing works
Sivakumar, P., Kalyani, A., Thanuja, V., Nohitha, G., & Sai, S. (2025) · Lecture notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering · doi:10.1007/978-3-031-77081-4_16 · Cited by 1 · see citing works
Liu, Y., Zhou, S., Alharbi, K. H., Cao, Y., & Mou, J. (2025) · International Journal of Bifurcation and Chaos · doi:10.1142/s0218127425501834 · Cited by 1 · see citing works
Huang, L., Gao, H., Yu, X., Li, J., & Yu, Y. (2026) · Nonlinear Dynamics · doi:10.1007/s11071-025-12009-y · Cited by 1 · see citing works
Chaotic-Based Color Image Encryption Algorithms: A Review
Shraida, G., & Younis, H. A. (2022) · Basrah Researches Sciences · doi:10.56714/bjrs.48.2.8 · Cited by 1 · see citing works
Chaotic image encryption algorithm based on bit-plane and DNA multiplex operationPreprint
Zhang, Y. T., & Zhao, B. (2022) · Research Square · doi:10.21203/rs.3.rs-2197914/v1
Self-citationA Cross-Plane Color Image Encryption Algorithm Based on 1D-SLM
Wang, X., Wu, H., Ma, Y., & Huang, S. (2023) · Computer Systems Science and Engineering · doi:10.32604/csse.2023.036652
Image Encryption Algorithm based on Convolutional Neural Network and Four Square Matrix Encoding
Ge, B., Wang, T., Xia, C., & Dai, G. (2022) · IEEE International Conference on Trust, Security and Privacy in Computing and Communications (TrustCom) · doi:10.1109/trustcom56396.2022.00193
Image Encryption Using Spined Bit Plane Diffusion and Chaotic Permutation for Color Image Security
Ravi, R. V., Goyal, S. B., & Djeddi, C. (2023) · Communications in computer and information science · doi:10.1007/978-3-031-50920-9_2
Artificial Intelligence Model Based Security Protection Method for IoT Applications
Luo, X., Chen, X., Wei, J., Zhang, L., Xu, L., & Zhao, B. (2024) · Lecture notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering · doi:10.1007/978-3-031-65126-7_15
Self-citationImage Encryption Based on Chen Chaotic System, OpenSSL S-Box and the Fibonacci Q-Matrix
Lotfy, R., Gabr, M., Mamdouh, E., Aboshousha, A., Alexan, W., El-Damak, D. R., Fathy, A., & Mansour, M. B. M. (2024) · Signal Processing: Algorithms, Architectures, Arrangements, and Applications · doi:10.23919/spa61993.2024.10715634
Image Features Hiding by Permutation of Pixels Locations
Abdul-Hameed, M. (2025) · Journal of Information Systems Engineering & Management · doi:10.52783/jisem.v10i3s.455
A high performance approach to ensure image security during transmission
Nair, A. S., Upreti, C., Arun, A., & Renuka Devi, S. (2025) · Results in Engineering · doi:10.1016/j.rineng.2025.106220
Losslessly Selective Chaotic Encryption for Medical Images Based on U2-Net and Stegonography
Song, X., Liu, Y., & Jiang, D. (2025) · Lecture notes in computer science · doi:10.1007/978-981-95-1346-8_4
Mahajan, V. T., Khan, R., Patil, L. K., Popat, K. A., & Chavan, B. B. (2026) · International Conference on Computing for Sustainable Global Development · doi:10.23919/indiacom70271.2026.11526034
Enhanced color image security via rough set partitioning and chaotic map assignment
Sonvarsha, H., Kumar, S., & Sharma, D. (2026) · Journal of Cyber Security Technology · doi:10.1080/23742917.2026.2699402
MS-CTQM: A multi-stage Chen chaos and Tribonacci Q-matrix based colour image encryption scheme
Singh, S., Suhag, D., Singh, U., Azad, J., & Jiya (2026) · Journal of the Franklin Institute · doi:10.1016/j.jfranklin.2026.109009
Color Image Encryption Scheme Based on Bit-Plane Decomposition and Piecewise Logistic Chaotic Map
Munir, R. (2026) · International Conference on Information Communication, IoT Technology, and Smart Cities (IITS) · doi:10.1109/iits69561.2026.11648467
- Authors
- Xu, J., Zhao, B., & Wu, Z.
- Affiliations
- Heilongjiang University (CN)
- Corresponding author
- Zhao, Bing
- Venue
- Entropy
- Publisher
- MDPI AG
- Published
- 2022-01-26
- Volume
- 24
- Issue
- 2
- Pages
- 186
- ISSN
- 1099-4300 (ISSN-L)
- PMC
- PMC8871326
- OpenAlex
- W4210481214
- Cited by
- 53
- References
- 30
- Citations by year
- 2026: 8 · 2025: 16 · 2024: 9 · 2023: 12 · 2022: 8
- FWCI
- 3.68
- Type
- journal article
- Language
- en
- Open access
- gold
- doi.org
- Licence
- Locations
- Entropy (publishedVersion, cc-by)
- PubMed Central (publishedVersion, cc-by)
- PubMed (publishedVersion)
- DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion, cc-by-sa)
- Funders
- National Natural Science Foundation of China (61801173)
- 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
- color image encryption, Chen chaotic system, logistic map, lightweight encryption, differential attack resistance, Shannon entropy
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review