Image encryption algorithm based on 2D hyperchaotic map
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Classical hybrid cryptosystems combine a symmetric image cipher with asymmetric key transport such as ElGamal, ECC, Hill cipher variants or RSA, all of which are broken in polynomial time by Shor's algorithm.
“Second, classical hybrid cryptosystems [32][33][34][35][36][37][38] consist of a combination of a symmetric image cypher and asymmetric key transport, which is either ElGamal, ECC, Hill cypher variants or RSA; all of which are the weakest links broken in polynomial time by Shor's algorithm.”
From A hybrid encryption algorithm based on AES and Kyber for secure image protection in the post-quantum era (2026) · cites this paper as [32]
Cites
Permutation Entropy: A Natural Complexity Measure for Time Series
Bandt, C., & Pompe, B. (2002) · Physical Review Letters · doi:10.1103/physrevlett.88.174102 · Cited by 4,899 · see citing works
SOME BASIC CRYPTOGRAPHIC REQUIREMENTS FOR CHAOS-BASED CRYPTOSYSTEMS
ALVAREZ, G., & LI, S. (2006) · International Journal of Bifurcation and Chaos · doi:10.1142/s0218127406015970 · Cited by 2,119 · see citing works
Rössler, O. E. (1979) · Physics Letters A · doi:10.1016/0375-9601(79)90150-6 · Cited by 1,407 · see citing works
(2011) · Cited by 904 · see citing works
2D Sine Logistic modulation map for image encryption
Hua, Z., Zhou, Y., Pun, C., & Chen, C. L. P. (2014) · Information Sciences · doi:10.1016/j.ins.2014.11.018 · Cited by 780 · see citing works
Cosine-transform-based chaotic system for image encryption
Hua, Z., Zhou, Y., & Huang, H. (2019) · Information Sciences · doi:10.1016/j.ins.2018.12.048 · Cited by 776 · see citing works
A novel chaos-based image encryption algorithm using DNA sequence operations
Chai, X., Chen, Y., & Broyde, L. (2016) · Optics and Lasers in Engineering · doi:10.1016/j.optlaseng.2016.08.009 · Cited by 633 · see citing works
A color image cryptosystem based on dynamic DNA encryption and chaos
Chai, X., Fu, X., Gan, Z., Lu, Y., & Chen, Y. (2019) · Signal Processing · doi:10.1016/j.sigpro.2018.09.029 · Cited by 573 · see citing works
A symmetric image encryption algorithm based on mixed linear–nonlinear coupled map lattice
Zhang, Y.-Q., & Wang, X.-Y. (2014) · Information Sciences · doi:10.1016/j.ins.2014.02.156 · Cited by 566 · see citing works
Fast image encryption algorithm based on parallel computing system
Wang, X., Feng, L., & Zhao, H. (2019) · Information Sciences · doi:10.1016/j.ins.2019.02.049 · Cited by 414 · see citing works
Fractal sorting matrix and its application on chaotic image encryption
Xian, Y.-J., & Wang, X.-Y. (2021) · Information Sciences · doi:10.1016/j.ins.2020.09.055 · Cited by 363 · see citing works
Image compression–encryption scheme based on hyper-chaotic system and 2D compressive sensing
Zhou, N., Pan, S., Cheng, S. J., & Zhou, Z. (2016) · Optics & Laser Technology · doi:10.1016/j.optlastec.2016.02.018 · Cited by 360 · see citing works
Wang, X.-Y., & Gao, S. (2020) · Information Sciences · doi:10.1016/j.ins.2019.08.041 · Cited by 353 · see citing works
Medical image encryption using high-speed scrambling and pixel adaptive diffusion
Hua, Z., Yi, S., & Zhou, Y. (2018) · Signal Processing · doi:10.1016/j.sigpro.2017.10.004 · Cited by 350 · see citing works
Chen, J., Zhu, Z.-L., Zhang, L.-B., Zhang, Y., & Yang, B.-Q. (2018) · Signal Processing · doi:10.1016/j.sigpro.2017.07.034 · Cited by 320 · see citing works
Image encryption using the two-dimensional logistic chaotic map
Wu, Y., Noonan, J. P., Yang, G., & Jin, H. (2012) · Journal of Electronic Imaging · doi:10.1117/1.jei.21.1.013014 · Cited by 318 · see citing works
Image encryption based on chaotic maps
Fridrich, J. (2002) · 1997 IEEE International Conference on Systems, Man, and Cybernetics. Computational Cybernetics and Simulation · doi:10.1109/icsmc.1997.638097 · Cited by 315 · see citing works
Wang, X., & Gao, S. (2020) · Information Sciences · doi:10.1016/j.ins.2020.06.030 · Cited by 313 · see citing works
Mansouri, A., & Wang, X. (2020) · Information Sciences · doi:10.1016/j.ins.2020.02.008 · Cited by 290 · see citing works
A fast image encryption algorithm based on compressive sensing and hyperchaotic map
Xu, Q., Sun, K., Cao, C., & Zhu, C. (2019) · Optics and Lasers in Engineering · doi:10.1016/j.optlaseng.2019.04.011 · Cited by 280 · see citing works
On the cryptanalysis of Fridrich’s chaotic image encryption scheme
Xie, E. Y., Li, C., Yu, S., & Lü, J. (2017) · Signal Processing · doi:10.1016/j.sigpro.2016.10.002 · Cited by 268 · see citing works
Cryptanalyzing an image encryption algorithm based on autoblocking and electrocardiography
Li, C., Lin, D., Lü, J., & Hao, F. (2018) · IEEE MultiMedia · doi:10.1109/mmul.2018.2873472 · Cited by 261 · see citing works
Short-time fractional Fourier methods for the time-frequency representation of chirp signals
Capus, C., & Brown, K. (2003) · The Journal of the Acoustical Society of America · doi:10.1121/1.1570434 · Cited by 213 · see citing works
Circular inter–intra pixels bit-level permutation and chaos-based image encryption
Diaconu, A.-V. (2016) · Information Sciences · doi:10.1016/j.ins.2015.10.027 · Cited by 186 · see citing works
Yu, S.-S., Zhou, N.-R., Gong, L.-H., & Nie, Z. (2020) · Optics and Lasers in Engineering · doi:10.1016/j.optlaseng.2019.105816 · Cited by 183 · see citing works
Yang, F., Mou, J., Ma, C., & Cao, Y. (2020) · Optics and Lasers in Engineering · doi:10.1016/j.optlaseng.2020.106031 · Cited by 181 · see citing works
Sine-transform-based chaotic system with FPGA implementation
Hua, Z., Zhou, B., & Zhou, Y. (2018) · IEEE Transactions on Industrial Electronics · doi:10.1109/tie.2017.2736515 · Cited by 180 · see citing works
Asymmetric color image encryption scheme using 2D discrete-time map
Liu, H., & Kadir, A. (2015) · Signal Processing · doi:10.1016/j.sigpro.2015.01.016 · Cited by 170 · see citing works
Novel quantum image encryption using one-dimensional quantum cellular automata
Yang, Y.-G., Tian, J., Lei, H., Zhou, Y.-H., & Shi, W.-M. (2016) · Information Sciences · doi:10.1016/j.ins.2016.01.078 · Cited by 163 · see citing works
Chai, X., Wu, H., Gan, Z., Han, D., Zhang, Y., & Chen, Y. (2020) · Information Sciences · doi:10.1016/j.ins.2020.10.007 · Cited by 162 · see citing works
An optical image compression and encryption scheme based on compressive sensing and RSA algorithm
Gong, L.-H., Qiu, K., Deng, C., & Zhou, N. (2019) · Optics and Lasers in Engineering · doi:10.1016/j.optlaseng.2019.03.006 · Cited by 157 · see citing works
Two-Dimensional Sine Chaotification System With Hardware Implementation
Hua, Z., Zhou, Y., & Bao, B. (2019) · IEEE Transactions on Industrial Informatics · doi:10.1109/tii.2019.2923553 · Cited by 152 · see citing works
Nonlinear optical multi-image encryption scheme with two-dimensional linear canonical transform
Huang, Z., Cheng, S. J., Gong, L.-H., & Zhou, N. (2019) · Optics and Lasers in Engineering · doi:10.1016/j.optlaseng.2019.105821 · Cited by 146 · see citing works
Compressive sensing based image compression-encryption using Novel 1D-Chaotic map
Ponuma, R., & Amutha, R. (2017) · Multimedia Tools and Applications · doi:10.1007/s11042-017-5378-2 · Cited by 135 · see citing works
Zhou, N., Jiang, H., Gong, L., & Xie, X. (2018) · Optics and Lasers in Engineering · doi:10.1016/j.optlaseng.2018.05.014 · Cited by 132 · see citing works
A joint color image encryption and compression scheme based on hyper-chaotic system
Tong, X., Zhang, M., Wang, Z., & Ma, J. (2016) · Nonlinear Dynamics · doi:10.1007/s11071-016-2648-x · Cited by 122 · see citing works
A new chaotic circuit with multiple memristors and its application in image encryption
Ye, X., Wang, X., Gao, S., Mou, J., Wang, Z., & Yang, F. (2019) · Nonlinear Dynamics · doi:10.1007/s11071-019-05370-2 · Cited by 115 · see citing works
On Local Prediction Based Reversible Watermarking
Dragoi, I.-C., & Coltuc, D. (2015) · IEEE Transactions on Image Processing · doi:10.1109/tip.2015.2395724 · Cited by 114 · see citing works
Coupling chaotic system based on unit transform and its applications in image encryption
Hu, G., & Li, B. (2020) · Signal Processing · doi:10.1016/j.sigpro.2020.107790 · Cited by 112 · see citing works
Suggested Integral Analysis for Chaos-Based Image Cryptosystems
Murillo-Escobar, M., Meranza-Castillón, M. O., López-gutiérrez, R., & Cruz-Hernández, C. (2019) · Entropy · doi:10.3390/e21080815 · Cited by 109 · see citing works
Optical image encryption technique based on compressed sensing and Arnold transformation
Liu, X., Cao, Y., Lü, P., Lu, X., & Li, Y. (2013) · Optik · doi:10.1016/j.ijleo.2013.05.092 · Cited by 98 · see citing works
Color Image Compression-Encryption Algorithm Based on Fractional-Order Memristor Chaotic Circuit
Yang, F., Mou, J., Sun, K., Cao, Y., & Jin, J. (2019) · IEEE Access · doi:10.1109/access.2019.2914722 · Cited by 93 · see citing works
SF-SIMM high-dimensional hyperchaotic map and its performance analysis
Liu, W., Sun, K., & He, S. (2017) · Nonlinear Dynamics · doi:10.1007/s11071-017-3601-3 · Cited by 91 · see citing works
Image encryption using complex hyper chaotic system by injecting impulse into parameters
Liu, H., Zhang, Y., Kadir, A., & Yanqiu, X. (2019) · Applied Mathematics and Computation · doi:10.1016/j.amc.2019.04.078 · Cited by 84 · see citing works
Liu, H., Kadir, A., & Liu, J. (2019) · Optics and Lasers in Engineering · doi:10.1016/j.optlaseng.2019.05.027 · Cited by 82 · see citing works
A Novel Data Hiding Algorithm for High Dynamic Range Images
Lin, Y.-T., Wang, C.-M., Chen, W.-S., Lin, F., & Lin, W. (2016) · IEEE Transactions on Multimedia · doi:10.1109/tmm.2016.2605499 · Cited by 68 · see citing works
An image encryption algorithm based on BP neural network and hyperchaotic system
Yang, F., Mou, J., Cao, Y., & Chu, R. (2020) · China Communications · doi:10.23919/jcc.2020.05.003 · Cited by 65 · see citing works
A Novel Image Encryption Scheme Based on 2D Fractional Chaotic Map, DWT and 4D Hyper-chaos
Ding, L., & Ding, Q. (2020) · Electronics · doi:10.3390/electronics9081280 · Cited by 61 · see citing works
Chen, Z., Yuan, X., Yuan, Y., Iu, H. H.-C., & Fernando, T. (2016) · IEEE Transactions on Circuits and Systems I: Regular Papers · doi:10.1109/tcsi.2016.2573283 · Cited by 58 · see citing works
A new random diffusion algorithm based on the multi-scroll Chua's chaotic circuit system
Ye, X., Wang, X., Gao, S., Mou, J., & Wang, Z. (2019) · Optics and Lasers in Engineering · doi:10.1016/j.optlaseng.2019.105905 · Cited by 53 · see citing works
A self-perturbed pseudo-random sequence generator based on hyperchaos
Zhao, Y., Gao, C., Liu, J., & Dong, S. (2019) · Chaos Solitons & Fractals X · doi:10.1016/j.csfx.2020.100023 · Cited by 50 · see citing works
Image Compression and Encryption Algorithm Based on Hyper-chaotic Map
Mou, J., Yang, F., Chu, R., & Cao, Y. (2019) · Mobile Networks and Applications · doi:10.1007/s11036-019-01293-9 · Cited by 49 · see citing works
An improved color image encryption scheme and cryptanalysis based on a hyperchaotic sequence
Yang, F., Mou, J., Luo, C., & Cao, Y. (2019) · Physica Scripta · doi:10.1088/1402-4896/ab0033 · Cited by 48 · see citing works
Li-Yuan, S., Ke-Hui, S., Li, C., & 410083, 中. (2004) · Acta Physica Sinica · doi:10.7498/aps.53.2871 · Cited by 43 · see citing works
A new discrete chaotic map based on the composition of permutations
Lambić, D. (2015) · Chaos Solitons & Fractals · doi:10.1016/j.chaos.2015.08.001 · Cited by 36 · see citing works
Cascade chaos and its dynamic characteristics
Wang, G., & Fang, Y. (2013) · Acta Physica Sinica · doi:10.7498/aps.62.020506 · Cited by 32 · see citing works
Wu, J., Guo, F., Zeng, P., & Zhou, N. (2013) · Journal of Modern Optics · doi:10.1080/09500340.2013.858189 · Cited by 27 · see citing works
A chaotic map with infinite collapses
He, D., He, C., Jiang, L., Zhu, H.-W., & Hu, G. (2002) · doi:10.1109/tencon.2000.892231 · Cited by 22 · see citing works
Dynamical Analysis of a Novel Complex Chaotic System and Application in Image Diffusion
Yang, F., Mou, J., Yan, H., & Hu, J.-H. (2019) · IEEE Access · doi:10.1109/access.2019.2937126 · Cited by 21 · see citing works
A Chaotic Encryption Algorithm for Image Privacy Based on Two Pseudorandomly Enhanced Logistic Maps
Murillo-Escobar, M. A., Meranza-Castillón, M. O., López-Gutiérrez, R. M., & Cruz-Hernández, C. (2020) · Studies in computational intelligence · doi:10.1007/978-3-030-38700-6_5 · Cited by 7 · see citing works
Flagged first, then by citations
3 of the 63 references couldn’t be matched to a known paper.
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Sorted by citations
A novel pixel-split image encryption scheme based on 2D Salomon map
Lai, Q., Hu, G., Erkan, U., & Toktaş, A. (2022) · Expert Systems with Applications · doi:10.1016/j.eswa.2022.118845 · Cited by 254 · see citing works
2D hyperchaotic system based on Schaffer function for image encryption
Erkan, U., Toktaş, A., & Lai, Q. (2022) · Expert Systems with Applications · doi:10.1016/j.eswa.2022.119076 · Cited by 163 · see citing works
Toktas, F., Erkan, U., & Yetgín, Z. (2024) · Expert Systems with Applications · doi:10.1016/j.eswa.2024.123583 · Cited by 142 · see citing works
Zhu, L., Jiang, D., Ni, J., Wang, X., Rong, X., Ahmad, M., & Chen, Y. (2022) · Signal Processing · doi:10.1016/j.sigpro.2022.108489 · Cited by 133 · see citing works
A cross-channel color image encryption algorithm using two-dimensional hyperchaotic map
Lai, Q., & Liu, Y. (2023) · Expert Systems with Applications · doi:10.1016/j.eswa.2023.119923 · Cited by 125 · see citing works
2D eπ-map for image encryption
Erkan, U., Toktaş, A., Toktas, F., & Alenezi, F. S. (2022) · Information Sciences · doi:10.1016/j.ins.2021.12.126 · Cited by 123 · see citing works
Meaningful image encryption algorithm based on compressive sensing and integer wavelet transform
Huang, X., Dong, Y., Ye, G., & Shi, Y. (2022) · Frontiers of Computer Science · doi:10.1007/s11704-022-1419-8 · Cited by 105 · see citing works
Wang, C., & Song, L. (2023) · Information Sciences · doi:10.1016/j.ins.2023.119166 · Cited by 103 · see citing works
Novel image cryptosystem based on new 2D hyperchaotic map and dynamical chaotic S-box
Zhou, S., Qiu, Y., Wang, X., & Zhang, Y. (2023) · Nonlinear Dynamics · doi:10.1007/s11071-023-08312-1 · Cited by 102 · see citing works
Sambas, A., Mahdal, M., Vaidyanathan, S. V., Ovilla-Martínez, B., Tlelo‐Cuautle, E., El‐Latif, A. A. A., Abd-El-Atty, B., Benkouider, K., & Bonny, T. (2024) · IEEE Access · doi:10.1109/access.2024.3351693 · Cited by 99 · see citing works
Image Encryption Algorithms: A Survey of Design and Evaluation Metrics
Alghamdi, Y., & Munir, A. (2024) · Journal of Cybersecurity and Privacy · doi:10.3390/jcp4010007 · Cited by 98 · see citing works
“Gao proposed an image encryption algorithm based on a 2D hyperchaotic map in [17].”
MethodMurillo-Escobar, D., Murillo-Escobar, M. A., Cruz-Hernández, C., Arellano-Delgado, A., & López-Gutiérrez, R. M. (2022) · Nonlinear Dynamics · doi:10.1007/s11071-022-08101-2 · Cited by 88 · see citing works
Wang, M., Teng, L., Zhou, W., Yan, X., Xia, Z., & Zhou, S. (2024) · Expert Systems with Applications · doi:10.1016/j.eswa.2024.125328 · Cited by 89 · see citing works
Ding, D., Wang, W., Yang, Z., Hu, Y., Wang, J., Wang, M., Niu, Y., & Zhu, H. (2023) · Chaos Solitons & Fractals · doi:10.1016/j.chaos.2023.113841 · Cited by 78 · see citing works
Multiobjective Design of 2D Hyperchaotic System Using Leader Pareto Grey Wolf Optimizer
Toktaş, A., Erkan, U., Üstün, D., & Lai, Q. (2024) · IEEE Transactions on Systems Man and Cybernetics Systems · doi:10.1109/tsmc.2024.3401412 · Cited by 69 · see citing works
A novel 2D Log-Logistic–Sine chaotic map for image encryption
Wang, M., Song, X.-G., Liu, S.-H., Zhao, X.-Q., & Zhou, N. (2024) · Nonlinear Dynamics · doi:10.1007/s11071-024-10331-5 · Cited by 70 · see citing works
Wang, X., Liu, C., & Jiang, D. (2022) · Chaos Solitons & Fractals · doi:10.1016/j.chaos.2022.112625 · Cited by 60 · see citing works
Erkan, U., Toktaş, A., Memiş, S., Toktas, F., Lai, Q., Wen, H., & Gao, S. (2024) · IEEE Internet of Things Journal · doi:10.1109/jiot.2024.3432494 · Cited by 58 · see citing works
Ge, B., Chen, X., Chen, G., & Shen, Z. (2021) · IEEE Access · doi:10.1109/access.2021.3118377 · Cited by 54 · see citing works
Zhu, H., Ge, J., Qi, W., Zhang, X., & Lu, X. (2022) · Mathematics and Computers in Simulation · doi:10.1016/j.matcom.2022.02.029 · Cited by 53 · see citing works
Rahul, B., Kuppusamy, K., & Senthilrajan, A. (2023) · Optik · doi:10.1016/j.ijleo.2023.171253 · Cited by 52 · see citing works
Erkan, U., Toktaş, A., Memiş, S., Lai, Q., & Hu, G. (2023) · Nonlinear Dynamics · doi:10.1007/s11071-023-08859-z · Cited by 51 · see citing works
Design of two dimensional hyperchaotic system through optimization benchmark function
Erkan, U., Toktaş, A., & Lai, Q. (2022) · Chaos Solitons & Fractals · doi:10.1016/j.chaos.2022.113032 · Cited by 50 · see citing works
An image encryption scheme based on block compressed sensing and Chen’s system
Luo, Y., Liang, Y., Zhang, S., Liu, J., & Wang, F. (2022) · Nonlinear Dynamics · doi:10.1007/s11071-022-08119-6 · Cited by 44 · see citing works
A novel devaney chaotic map with uniform trajectory for color image encryption
Liu, X., Tong, X., Wang, Z., Zhang, M., & Fan, Y. (2023) · Applied Mathematical Modelling · doi:10.1016/j.apm.2023.03.038 · Cited by 43 · see citing works
Alkhonaini, M. A., Gemeay, E., Mahmood, F. M. Z., Ayari, M., Alenizi, F. A., & Lee, S. (2024) · Scientific Reports · doi:10.1038/s41598-024-64741-x · Cited by 41 · see citing works
Mfungo, D. E., Fu, X., Wang, X., & Xian, Y. (2023) · Applied Sciences · doi:10.3390/app13064034 · Cited by 47 · see citing works
A new two-dimensional sine-coupled-logistic map and its application in image encryption
Wang, X., Chen, X., & Zhao, M. (2023) · Multimedia Tools and Applications · doi:10.1007/s11042-023-14674-w · Cited by 37 · see citing works
Image encryption algorithm based on the dynamic RNA computing and a new chaotic map
Zhou, S., Wei, Y., Zhang, Y., Iu, H. H., & Zhang, H. (2024) · Integration · doi:10.1016/j.vlsi.2024.102336 · Cited by 39 · see citing works
Construction of a non-degeneracy 3D chaotic map and application to image encryption with keyed S-box
Wang, M., Liu, H., & Zhao, M. (2023) · Multimedia Tools and Applications · doi:10.1007/s11042-023-14988-9 · Cited by 36 · see citing works
Medical video encryption using novel 2D Cosine-Sine map and dynamic DNA coding
Dhingra, D., & Dua, M. (2023) · Medical & Biological Engineering & Computing · doi:10.1007/s11517-023-02925-9 · Cited by 36 · see citing works
Zhou, L., Lin, Z., Tan, F., & Chen, P. (2025) · Expert Systems with Applications · doi:10.1016/j.eswa.2025.127475 · Cited by 33 · see citing works
A Novel Chaos-Based Image Encryption Using Magic Square Scrambling and Octree Diffusing
Wang, J., & Liu, L. (2022) · Mathematics · doi:10.3390/math10030457 · Cited by 32 · see citing works
Zhao, Y., Meng, R., Zhang, Y., & Yang, Q. K. (2022) · Optik · doi:10.1016/j.ijleo.2022.170342 · Cited by 31 · see citing works
Yao, M., Chen, Z., Deng, H., Wu, X., Liu, T., & Cao, C. (2024) · Nonlinear Dynamics · doi:10.1007/s11071-024-10334-2 · Cited by 32 · see citing works
Feng, X., Wu, F., & Ma, J. (2025) · Science China Technological Sciences · doi:10.1007/s11431-025-3042-y · Cited by 27 · see citing works
Cryptanalysis of an Image Encryption Algorithm Based on Two-Dimensional Hyperchaotic Map
Jiang, Q., Yu, S., & Wang, Q. (2023) · Entropy · doi:10.3390/e25030395 · Cited by 26 · see citing works
A novel colour image encryption scheme using dynamic DNA coding, chaotic maps, and SHA-2
Paul, L. S. J., Gracias, C., Desai, A., Thanikaiselvan, V., Shanthini, S. S., & Amirtharajan, R. (2022) · Multimedia Tools and Applications · doi:10.1007/s11042-022-13095-5 · Cited by 26 · see citing works
Bit-level image encryption algorithm based on random-time S-Box substitution
Wang, M., Liu, H., & Zhao, M. (2022) · The European Physical Journal Special Topics · doi:10.1140/epjs/s11734-022-00638-y · Cited by 26 · see citing works
Ye, J., Deng, X., Zhang, A., & Yu, H. (2022) · Entropy · doi:10.3390/e24081103 · Cited by 25 · see citing works
An Effective Anti-Object-Detection Image Privacy Protection Scheme Based on Robust Chaos
Peng, Y., Lan, Z., Li, Z., & Li, C. (2024) · IEEE Transactions on Industrial Informatics · doi:10.1109/tii.2024.3357197 · Cited by 25 · see citing works
Alqahtani, A. M., Chaudhary, A., Dubey, R. S., & Sharma, S. (2024) · Fractal and Fractional · doi:10.3390/fractalfract8070421 · Cited by 24 · see citing works
Cryptanalysis of an Image Encryption Algorithm Based on a 2D Hyperchaotic Map
Zhang, C., Chen, J., & Chen, D. (2022) · Entropy · doi:10.3390/e24111551 · Cited by 24 · see citing works
Shen, Y.-L., Huang, J. M., Chen, L., Wen, T., Li, T., & Zhang, G. (2023) · Entropy · doi:10.3390/e25050753 · Cited by 24 · see citing works
An Image Encryption Algorithm Based on Improved Hilbert Curve Scrambling and Dynamic DNA Coding
Geng, S., Li, J., Zhang, X., & Wang, Y. (2023) · Entropy · doi:10.3390/e25081178 · Cited by 24 · see citing works
A novel multi-layer image encryption algorithm based on 2D drop-wave function
Liu, X., & Yang, J. (2024) · Nonlinear Dynamics · doi:10.1007/s11071-024-10268-9 · Cited by 23 · see citing works
Üstün, D., & Şahinkaya, S. (2025) · Mathematics and Computers in Simulation · doi:10.1016/j.matcom.2025.03.019 · Cited by 22 · see citing works
Asymmetric image encryption algorithm based on a new three-dimensional improved logistic chaotic map
Ye, G.-D., Wu, H.-S., Huang, X.-L., & Tan, S.-Y. (2023) · Chinese Physics B · doi:10.1088/1674-1056/ac7dbb · Cited by 22 · see citing works
Color image encryption algorithm based on 5D memristive chaotic system and group scrambling
Sun, B., Zhang, C., Peng, Q., & Du, B. (2023) · Optik · doi:10.1016/j.ijleo.2023.171132 · Cited by 22 · see citing works
Deng, Y., Tian, X., Chen, Z., Xiao, Y., & Xiao, Y. (2024) · Nonlinear Dynamics · doi:10.1007/s11071-024-10415-2 · Cited by 21 · see citing works
Zhang, H., Nan, S.-X., Liu, Z.-H., Yang, J., & Feng, X. (2024) · Applied Soft Computing · doi:10.1016/j.asoc.2024.111693 · Cited by 20 · see citing works
Robust Image Encryption with 2D Hyperchaotic Map and Dynamic DNA-Zigzag Encoding
Zhang, H., Liu, X., Chen, K., Te, R., & Yan, F. (2025) · Entropy · doi:10.3390/e27060606 · Cited by 21 · see citing works
Zhang, T., & Wang, S. (2023) · Frontiers in Physics · doi:10.3389/fphy.2022.1097754 · Cited by 20 · see citing works
Signal-sensing dynamic S-box image encryption with 2D Griewank–sin map
Ding, C., & Xue, R. (2023) · Nonlinear Dynamics · doi:10.1007/s11071-023-08985-8 · Cited by 20 · see citing works
Image Encryption Algorithm Based on a Novel Wide-Range Discrete Hyperchaotic Map
Zhong, H., Li, G., Xu, X., & Song, X. (2022) · Mathematics · doi:10.3390/math10152583 · Cited by 18 · see citing works
Image encryption algorithm using multi-base diffusion and a new four-dimensional chaotic system
Wang, S., Sun, B., Wang, Y., & Du, B. (2023) · Multimedia Tools and Applications · doi:10.1007/s11042-023-16025-1 · Cited by 18 · see citing works
A novel 2D MTMHM based key generation for enhanced security in medical image communication
Devi, C. S., & Amirtharajan, R. (2025) · Scientific Reports · doi:10.1038/s41598-025-10485-1 · Cited by 18 · see citing works
Cryptanalysis of an Image Encryption Algorithm Based on Random Walk and Hyperchaotic Systems
Fan, H., Lü, H., Zhang, C., Li, M., & Liu, Y. (2021) · Entropy · doi:10.3390/e24010040 · Cited by 17 · see citing works
Image encryption using the new two-dimensional Beta chaotic map
Elkhalil, N., Weddy, Y. C., & Ejbali, R. (2023) · Multimedia Tools and Applications · doi:10.1007/s11042-023-15105-6 · Cited by 17 · see citing works
Yang, Y., Wang, Z., Wang, B.-P., Zhou, Y., Shi, W., & Liao, X. (2023) · Multimedia Tools and Applications · doi:10.1007/s11042-023-15662-w · Cited by 17 · see citing works
Zhou, L., Han, X., Lin, Q., Yang, X. S., Zhang, X., & Zhou, M. (2024) · Scientific Reports · doi:10.1038/s41598-024-73050-2 · Cited by 17 · see citing works
Long, G., Zhou, L., Gan, Z., Chai, X., Fu, Z., & Ma, Y. (2022) · Optik · doi:10.1016/j.ijleo.2022.169375 · Cited by 17 · see citing works
A selective image encryption scheme using LICC hyperchaotic system
Wei, C., & Li, G. (2022) · IET Image Processing · doi:10.1049/ipr2.12569 · Cited by 16 · see citing works
Image encryption algorithm based on cross-scrambling and rapid-mode diffusion
Wang, X., & Chen, X. (2022) · The Visual Computer · doi:10.1007/s00371-022-02645-5 · Cited by 16 · see citing works
Zhou, L., Chen, H., Zhou, X., Yuan, Y., Zhu, W., & Zhou, M. (2024) · Nonlinear Dynamics · doi:10.1007/s11071-024-10677-w · Cited by 15 · see citing works
Image encryption-authentication scheme based on pixel adaptive diffusion
Gong, L.-H., Xiang, D.-N., Wu, J., & Chen, S. (2026) · Journal of Modern Optics · doi:10.1080/09500340.2026.2623157 · Cited by 14 · see citing works
Color Image Encryption Based on 2D Hyperchaotic Sine Couple Map and Block Scrambling
Chen, T., Huang, T., Zhang, Z., Lü, M., & Tang, J. (2024) · IEEE Access · doi:10.1109/access.2024.3432876 · Cited by 14 · see citing works
Khan, S., Peng, H., Gu, Z., Usman, S., & Mukhtar, N. (2024) · Complex & Intelligent Systems · doi:10.1007/s40747-024-01568-z · Cited by 14 · see citing works
A New Chaotic Color Image Encryption Algorithm Based on Memristor Model and Random Hybrid Transforms
Yao, Y., Xu, X., & Jiang, Z. (2025) · Applied Sciences · doi:10.3390/app15020913 · Cited by 13 · see citing works
Moussa, K. H. (2025) · Nonlinear Dynamics · doi:10.1007/s11071-025-11694-z · Cited by 12 · see citing works
Plaintext-related image encryption scheme without additional plaintext based on 2DCS
Zhang, C., Fan, H., Zhang, M., Lu, H., Li, M., & Liu, Y. (2022) · Optik · doi:10.1016/j.ijleo.2022.170312 · Cited by 12 · see citing works
Rehman, M. U., & Shafqiue, A. (2024) · Internet of Things · doi:10.1016/j.iot.2024.101241 · Cited by 12 · see citing works
Vithayathil, A. J., & Sreekumar, A. (2024) · Nonlinear Dynamics · doi:10.1007/s11071-024-10736-2 · Cited by 12 · see citing works
Janarthanan, R., Tamba, V. K., Ainamon, C., Rajagopal, K., & Kingni, S. T. (2023) · Physica Scripta · doi:10.1088/1402-4896/acc89b · Cited by 12 · see citing works
Index-based simultaneous permutation-diffusion in image encryption using two-dimensional price map
Lai, Q., Zhang, H., Üstün, D., Erkan, U., & Toktaş, A. (2023) · Multimedia Tools and Applications · doi:10.1007/s11042-023-16663-5 · Cited by 12 · see citing works
A Review of Genome to Chaos: Exploring DNA Dynamics in Security
Banu, S., Rao, L. K., Priya, P., Thanikaiselvan, Hemalatha, M., Dhivya, R., & Rengarajan, A. (2024) · Multimedia tools and applications · doi:10.1007/s11042-024-20074-5 · Cited by 12 · see citing works
Feng, X., Nan, S.-X., Ma, R., & Zhang, H. (2022) · International Journal of Bifurcation and Chaos · doi:10.1142/s0218127422501498 · Cited by 11 · see citing works
Zhang, X., Chai, Y., Xiang, S., & Li, S. (2025) · Entropy · doi:10.3390/e27111152 · Cited by 10 · see citing works
Alsubaei, F. S., Eltoukhy, M. M., Ahmed, A. A., & Diab, H. (2024) · Alexandria Engineering Journal · doi:10.1016/j.aej.2024.11.040 · Cited by 10 · see citing works
An image encryption scheme by applying memristive Hindmarsh-Rose neuron model
Wang, Y. (2022) · Physica Scripta · doi:10.1088/1402-4896/ac73bc · Cited by 10 · see citing works
Wei, C., Wang, Y., Xiao, Y., & Hei, X. (2023) · IET Image Processing · doi:10.1049/ipr2.12858 · Cited by 10 · see citing works
Zhou, Z., Xu, X., Jiang, Z., & Sun, K. (2023) · Mathematics · doi:10.3390/math11153373 · Cited by 10 · see citing works
A fast piecewise image encryption scheme combining NC1DNSM and P-Box
Zhang, C., & Du, B. (2022) · Integration · doi:10.1016/j.vlsi.2022.10.003 · Cited by 10 · 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
Wang, J., Song, X., & El‐Latif, A. A. A. (2022) · Entropy · doi:10.3390/e24070885 · Cited by 9 · see citing works
Fast Chaotic Image Encryption Algorithm Using a Novel Divide and Conquer Diffusion Strategy
Ge, B., Shen, Z., & Zhang, J. (2022) · IEEE Access · doi:10.1109/access.2022.3204873 · Cited by 9 · see citing works
Shafique, A., Rehman, M. U., Khan, K. H., Jamal, S. S., Mehmood, A., & Chaudhry, S. A. (2023) · IEEE Access · doi:10.1109/access.2023.3269294 · Cited by 9 · see citing works
Dynamic image encryption via hybrid chaotic map and particle swarm optimization
Kumar, S., & Sharma, D. (2025) · The European Physical Journal Plus · doi:10.1140/epjp/s13360-025-07128-9 · Cited by 8 · see citing works
A new image encryption algorithm using 2D infinite collapse coupling map
Pak, C., Jong, C., Pang, R., Ri, S., & Kim, J. (2023) · Multimedia Tools and Applications · doi:10.1007/s11042-023-17493-1 · Cited by 8 · see citing works
An Image Encryption Algorithm Based on Trivium Cipher and Random Substitution
Alghamdi, Y., & Munir, A. (2023) · SN Computer Science · doi:10.1007/s42979-023-02172-7 · Cited by 8 · see citing works
2D hyperchaotic Styblinski-Tang map for image encryption and its hardware implementation
Üstün, D., Erkan, U., Toktaş, A., Lai, Q., & Yang, L. (2023) · Multimedia Tools and Applications · doi:10.1007/s11042-023-17054-6 · Cited by 8 · see citing works
Waheed, A., & Subhan, F. (2024) · Physica Scripta · doi:10.1088/1402-4896/ad3991 · Cited by 8 · see citing works
Evaluating ASCON Lightweight Encryption Algorithm for Image Encryption
Alghamdi, Y., & Munir, A. (2024) · SN Computer Science · doi:10.1007/s42979-024-03382-3 · Cited by 7 · see citing works
A novel image cipher system based on hybrid vigenere-affine approach
Bourakkadi, H. E., Chemlal, A., Tabti, H., Kattass, M., Jarjar, A., & Benazzi, A. (2025) · Multimedia Tools and Applications · doi:10.1007/s11042-024-20532-0 · Cited by 7 · see citing works
Visually meaningful image encryption based on human face biometric key
Su, Y., Fang, H., Li, F., Xu, W., & Liu, X. (2025) · Signal Image and Video Processing · doi:10.1007/s11760-025-04797-y · Cited by 8 · see citing works
An image encryption scheme based on block compressed sensing and Chen systemPreprint
Luo, Y., Liang, Y., Zhang, S., Liu, J., & Wang, F. (2022) · Research Square · doi:10.21203/rs.3.rs-1604114/v1 · Cited by 7 · see citing works
Lai, Q., Wang, H., Erkan, U., & Toktaş, A. (2024) · Physica Scripta · doi:10.1088/1402-4896/ad826f · Cited by 6 · see citing works
Image encryption algorithm based on ElGamal cryptography and selective random diffusion
Guo, L., He, J., & Ye, G. (2023) · Physica Scripta · doi:10.1088/1402-4896/acf1db · Cited by 6 · see citing works
Meaningful ciphertext image encryption based on histogram shift and ND-ICM hyperchaos
Jing, S., Li, J., & Tian, W. (2023) · IEEE International Conference on Multimedia and Expo (ICME) · doi:10.1109/icme55011.2023.00487 · Cited by 6 · see citing works
Saeed, N. A., Saleh, H. A., Hou, L., & Nasr, E. A. (2024) · Modern Physics Letters B · doi:10.1142/s0217984924504360 · Cited by 6 · see citing works
- Authors
- Gao, X.
- Affiliations
- Longdong University (CN)
- Corresponding author
- Gao, Xiaohong
- ORCID
- Gao, Xiaohong
- Venue
- Optics & Laser Technology
- Publisher
- Elsevier BV
- Published
- 2021-10
- Volume
- 142
- Pages
- 107252
- ISSN
- 0030-3992 (ISSN-L)
- OpenAlex
- W3164695144
- Cited by
- 160
- References
- 63
- Citations by year
- 2026: 17 · 2025: 33 · 2024: 37 · 2023: 39 · 2022: 30 · 2021: 4
- FWCI
- 9.89
- Type
- journal article
- Language
- en
- Open access
- closed
- Licence
- Locations
- Optics & Laser Technology (publishedVersion)
- Funders
- National Natural Science Foundation of China (11565018, 11847163)
- Gansu Education Department (2019A-112)
- Topics
- Physical Sciences › Computer Science › Computer Vision and Pattern Recognition › Chaos-based Image/Signal Encryption
- Physical Sciences › Mathematics › Mathematical Physics › Mathematical Dynamics and Fractals
- Physical Sciences › Computer Science › Artificial Intelligence › Computer Science and Engineering
- Keywords
- image encryption, chaos-based cryptography, hyperchaotic dynamics, Lyapunov exponents, permutation entropy, pixel diffusion
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