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Image encryption algorithm based on 2D hyperchaotic map
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“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]
Citations
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 5,011
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
Rössler, O. E. (1979) · Physics Letters A · doi:10.1016/0375-9601(79)90150-6 · Cited by 1,407
(2011) · Cited by 904
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
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
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 636
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
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
Fractal sorting matrix and its application on chaotic image encryption
Xian, Y., & Wang, X. (2020) · Information Sciences · doi:10.1016/j.ins.2020.09.055 · Cited by 425
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
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
Wang, X.-Y., & Gao, S. (2020) · Information Sciences · doi:10.1016/j.ins.2019.08.041 · Cited by 353
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
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
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
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
Wang, X., & Gao, S. (2020) · Information Sciences · doi:10.1016/j.ins.2020.06.030 · Cited by 313
Mansouri, A., & Wang, X. (2020) · Information Sciences · doi:10.1016/j.ins.2020.02.008 · Cited by 296
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 281
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
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
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
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
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
Yang, F., Mou, J., Ma, C., & Cao, Y. (2020) · Optics and Lasers in Engineering · doi:10.1016/j.optlaseng.2020.106031 · Cited by 181
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
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
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
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
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
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
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
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
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
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 121
Suggested Integral Analysis for Chaos-Based Image Cryptosystems
Murillo-Escobar, M. A., Meranza-Castillón, M. O., López-Gutiérrez, R. M., & Cruz-Hernández, C. (2019) · Entropy · doi:10.3390/e21080815 · Cited by 119
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
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
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
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
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
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
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
Liu, H., Kadir, A., & Liu, J. (2019) · Optics and Lasers in Engineering · doi:10.1016/j.optlaseng.2019.05.027 · Cited by 82
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
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
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 60
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
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
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
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
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
Li-Yuan, S., Ke-Hui, S., Li, C., & 410083, 中. (2004) · Acta Physica Sinica · doi:10.7498/aps.53.2871 · Cited by 43
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
Cascade chaos and its dynamic characteristics
Wang, G., & Fang, Y. (2013) · Acta Physica Sinica · doi:10.7498/aps.62.020506 · Cited by 32
Wu, J., Guo, F., Zeng, P., & Zhou, N. (2013) · Journal of Modern Optics · doi:10.1080/09500340.2013.858189 · Cited by 27
Dynamical Analysis of a Novel Complex Chaotic System and Application in Image Diffusion
Yang, F., Mou, J., Yan, H., & Hu, J. (2019) · IEEE Access · doi:10.1109/access.2019.2937126 · Cited by 26
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
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
Flagged first, then by citations
3 of the 63 references couldn’t be matched to a known paper.
Research works printed but not linked: 3
- Li, 2019, Cryptanalyzing an image encryption algorithm based on autoblocking and electrocardiography, IEEE Multimedia, 25, 46, 10.1109/MMUL.2018.2873472 · DOI · Paper page
- Zhou, 2016, Image compression-encryption scheme based on hyper-chaotic system and 2d compressive sensing, Opt. Laser Technol., 82, 121, 10.1016/j.optlastec.2016.02.018 · DOI
- Hua, 2019, Cosine-transform-based chaotic system for image encryption, Inf. Sci., 480, 403, 10.1016/j.ins.2018.12.048 · DOI · Paper page
Cited by
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
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 168
Toktas, F., Erkan, U., & Yetgín, Z. (2024) · Expert Systems with Applications · doi:10.1016/j.eswa.2024.123583 · Cited by 144
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 141
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 128
Metadata
- 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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