S-Box Based Image Encryption Application Using a Chaotic System without Equilibrium
Open accessAbstract
Chaotic systems without equilibrium are of interest because they are the systems with hidden attractors. A nonequilibrium system with chaos is introduced in this work. Chaotic behavior of the system is verified by phase portraits, Lyapunov exponents, and entropy. We have implemented a real electronic circuit of the system and reported experimental results. By using this new chaotic system, we have constructed S-boxes which are applied to propose a novel image encryption algorithm. In the designed encryption algorithm, three S-boxes with strong cryptographic properties are used for the sub-byte operation. Particularly, the S-box for the sub-byte process is selected randomly. In addition, performance analyses of S-boxes and security analyses of the encryption processes have been presented.
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?
Solving the discrete logarithm problem when the elliptic curve's solution set has a prime factor of 2^256 is equivalent to factoring n with a 2^3072 size.
“In this sense, to solve the discrete logarithm problem when the solution set of the elliptic curve has a prime factor of 2 256 , is equivalent to factoring n with a 2 3072 size [9].”
From Cryptosystem Based on the Elliptic Curve With a High Degree of Resistance to Damage on the Encrypted Images (2020) · cites this paper as [9]
Section 3.1 describes generating 256-element S-boxes from a chaotic system, and Section 3.2 evaluates their cryptographic properties. Searches for elliptic-curve discrete logarithms and the claimed 2^256-versus-2^3072 factoring equivalence found no passage addressing that comparison in our copy. (LLM, conf=0.77)
Experimental — accuracy not yet measured
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
2 retracted
Khan, M., Shah, T., & Batool, S. I. (2015) · Neural Computing and Applications · doi:10.1007/s00521-015-1887-y · Cited by 147 · see citing works
RetractedKhan, M., & Shah, T. (2014) · Neural Computing and Applications · doi:10.1007/s00521-014-1663-4 · Cited by 68 · see citing works
RetractedDetermining Lyapunov exponents from a time series
Wolf, A., Swift, J. B., Swinney, H. L., & Vastano, J. A. (1985) · Physica D: Nonlinear Phenomena · doi:10.1016/0167-2789(85)90011-9 · Cited by 9,499 · see citing works
Communication Theory of Secrecy Systems
Shannon, C. E. (1949) · Bell System Technical Journal · doi:10.1002/j.1538-7305.1949.tb00928.x · Cited by 9,440 · see citing works
Approximate entropy as a measure of system complexity.
Pincus, S. M. (1991) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.88.6.2297 · Cited by 5,811 · see citing works
Ergodic theory of chaos and strange attractors
Eckmann, J., & Ruelle, D. P. (1985) · Reviews of Modern Physics · doi:10.1103/revmodphys.57.617 · Cited by 4,922 · see citing works
An equation for continuous chaos
Rössler, O. E. (1976) · Physics Letters A · doi:10.1016/0375-9601(76)90101-8 · Cited by 4,012 · see citing works
Differential cryptanalysis of DES-like cryptosystems
Biham, E., & Shamir, A. (1991) · Journal of Cryptology · doi:10.1007/bf00630563 · Cited by 2,914 · 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
Sprott, J. C. (1994) · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · doi:10.1103/physreve.50.r647 · Cited by 1,299 · see citing works
Image encryption using chaotic logistic map
Pareek, N. K., Patidar, V., & Sud, K. K. (2006) · Image and Vision Computing · doi:10.1016/j.imavis.2006.02.021 · Cited by 1,261 · see citing works
(2011) · Cited by 904 · see citing works
Baptista, M. S. (1998) · Physics Letters A · doi:10.1016/s0375-9601(98)00086-3 · Cited by 885 · see citing works
Leonov, G. A., & Kuznetsov, N. V. (2013) · International Journal of Bifurcation and Chaos · doi:10.1142/s0218127413300024 · Cited by 854 · see citing works
Localization of hidden Chuaʼs attractors
Leonov, G. A., Kuznetsov, N. V., & Vagaitsev, V. I. (2011) · Physics Letters A · doi:10.1016/j.physleta.2011.04.037 · Cited by 709 · see citing works
Hidden attractors in dynamical systems
Dudkowski, D., Jafari, S., Kapitaniak, T., Kuznetsov, N. V., Leonov, G. A., & Prasad, A. (2016) · Physics Reports · doi:10.1016/j.physrep.2016.05.002 · Cited by 695 · see citing works
Self-citationChaos and cryptography: block encryption ciphers based on chaotic maps
Jakimoski, G., & Kocarev, L. (2001) · IEEE Transactions on Circuits and Systems I Fundamental Theory and Applications · doi:10.1109/81.904880 · Cited by 676 · see citing works
Sprott, J. C. (2010) · WORLD SCIENTIFIC eBooks · doi:10.1142/7183 · Cited by 551 · see citing works
Simple chaotic flows with a line equilibrium
Jafari, S., & Sprott, J. C. (2013) · Chaos Solitons & Fractals · doi:10.1016/j.chaos.2013.08.018 · Cited by 545 · see citing works
Self-citationHidden attractor in smooth Chua systems
Leonov, G. A., Kuznetsov, N. V., & Vagaitsev, V. I. (2012) · Physica D Nonlinear Phenomena · doi:10.1016/j.physd.2012.05.016 · Cited by 529 · see citing works
Elementary quadratic chaotic flows with no equilibria
Jafari, S., Sprott, J. C., & Golpayegani, S. M. R. H. (2013) · Physics Letters A · doi:10.1016/j.physleta.2013.01.009 · Cited by 495 · see citing works
Self-citationA fast image encryption scheme based on chaotic standard map
Wong, K., Kwok, B. S.-H., & Law, W.-S. (2007) · Physics Letters A · doi:10.1016/j.physleta.2007.12.026 · Cited by 414 · see citing works
Dynamical behaviors of a chaotic system with no equilibria
Wei, Z. (2011) · Physics Letters A · doi:10.1016/j.physleta.2011.10.040 · Cited by 403 · 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 scrambling encryption algorithm of pixel bit based on chaos map
Ye, G. (2010) · Pattern Recognition Letters · doi:10.1016/j.patrec.2009.11.008 · Cited by 302 · see citing works
Secure image encryption algorithm design using a novel chaos based S-box
Çavuşoğlu, Ü., Kaçar, S., Pehlivan, I., & Zengin, A. (2017) · Chaos, Solitons & Fractals · doi:10.1016/j.chaos.2016.12.018 · Cited by 291 · see citing works
Self-citationA PROPOSED STANDARD FOR THE PUBLICATION OF NEW CHAOTIC SYSTEMS
Sprott, J. C. (2011) · International Journal of Bifurcation and Chaos · doi:10.1142/s021812741103009x · Cited by 273 · see citing works
Constructing a chaotic system with any number of equilibria
Wang, X., & Chen, G. (2012) · Nonlinear Dynamics · doi:10.1007/s11071-012-0669-7 · Cited by 270 · see citing works
Self-citationImage encryption process based on chaotic synchronization phenomena
VOLOS, C. K., Kyprianidis, I. M., & Stouboulos, I. N. (2012) · Signal Processing · doi:10.1016/j.sigpro.2012.11.008 · Cited by 257 · see citing works
A novel method for designing S-boxes based on chaotic maps
Tang, G., Liao, X., & Chen, Y. (2004) · Chaos Solitons & Fractals · doi:10.1016/j.chaos.2004.04.023 · Cited by 247 · see citing works
A novel image encryption algorithm based on self-adaptive wave transmission
Liao, X., Lai, S., & Zhou, Q. (2010) · Signal Processing · doi:10.1016/j.sigpro.2010.03.022 · Cited by 235 · see citing works
A chaos-based robust wavelet-domain watermarking algorithm
Dawei, Z., Chen, G., & Wenbo, L. (2004) · Chaos Solitons & Fractals · doi:10.1016/j.chaos.2003.12.104 · Cited by 219 · see citing works
The structured design of cryptographically good s-boxes
Adams, C. M., & Tavares, S. E. (1990) · Journal of Cryptology · doi:10.1007/bf00203967 · Cited by 212 · see citing works
A combined chaotic cryptographic and hashing scheme
Wong, K. (2003) · Physics Letters A · doi:10.1016/s0375-9601(02)01770-x · Cited by 194 · see citing works
Image encryption using binary bitplane
Zhou, Y., Cao, W., & Chen, C. L. P. (2014) · Signal Processing · doi:10.1016/j.sigpro.2014.01.020 · Cited by 191 · see citing works
A new finding of the existence of hidden hyperchaotic attractors with no equilibria
Wei, Z., Wang, R., & Liu, A. (2014) · Mathematics and Computers in Simulation · doi:10.1016/j.matcom.2014.01.001 · Cited by 184 · see citing works
Çavuşoğlu, Ü., Zengi̇n, A., Pehli̇van, İ., & Kaçar, S. (2016) · Nonlinear Dynamics · doi:10.1007/s11071-016-3099-0 · Cited by 180 · see citing works
Self-citationA chaotic path planning generator for autonomous mobile robots
VOLOS, C. K., Kyprianidis, I. M., & Stouboulos, I. N. (2012) · Robotics and Autonomous Systems · doi:10.1016/j.robot.2012.01.001 · Cited by 179 · see citing works
A novel technique for the construction of strong S-boxes based on chaotic Lorenz systems
Khan, M., Shah, T., Mahmood, H., Gondal, M. A., & Hussain, I. (2012) · Nonlinear Dynamics · doi:10.1007/s11071-012-0621-x · Cited by 164 · see citing works
New class of chaotic systems with circular equilibrium
Götthans, T., & Petržela, J. (2015) · Nonlinear Dynamics · doi:10.1007/s11071-015-2056-7 · Cited by 159 · see citing works
Theory and practice of chaotic cryptography
Amigó, J. M., Kocarev, L., & Szczepański, J. (2007) · Physics Letters A · doi:10.1016/j.physleta.2007.02.021 · Cited by 156 · see citing works
A hyperchaotic system without equilibrium
Wang, Z., Cang, S., Ochola, E. O., & Sun, Y. (2011) · Nonlinear Dynamics · doi:10.1007/s11071-011-0284-z · Cited by 148 · see citing works
A block cipher with dynamic S-boxes based on tent map
Wang, Y., Wong, K., Liao, X., & Xiang, T. (2008) · Communications in Nonlinear Science and Numerical Simulation · doi:10.1016/j.cnsns.2008.12.005 · Cited by 146 · see citing works
Rajagopal, K., Karthikeyan, A., & Srinivasan, A. (2016) · Nonlinear Dynamics · doi:10.1007/s11071-016-3189-z · Cited by 143 · see citing works
Designing chaotic S-boxes based on time-delay chaotic system
Özkaynak, F., & Yavuz, S. (2013) · Nonlinear Dynamics · doi:10.1007/s11071-013-0987-4 · Cited by 139 · see citing works
A system theory approach for designing cryptosystems based on hyperchaos
Grassi, G., & Mascolo, S. (1999) · IEEE Transactions on Circuits and Systems I Fundamental Theory and Applications · doi:10.1109/81.788815 · Cited by 134 · see citing works
A novel heuristic method for obtaining S-boxes
Chen, G. (2006) · Chaos Solitons & Fractals · doi:10.1016/j.chaos.2006.08.003 · Cited by 125 · see citing works
Simple Chaotic Flow with Circle and Square Equilibrium
Götthans, T., Sprott, J. C., & Petržela, J. (2016) · International Journal of Bifurcation and Chaos · doi:10.1142/s0218127416501376 · Cited by 116 · see citing works
Chaos-based color image block encryption scheme using S-box
Liu, H., Kadir, A., & Niu, Y. (2014) · AEU - International Journal of Electronics and Communications · doi:10.1016/j.aeue.2014.02.002 · Cited by 114 · see citing works
A robust chaotic algorithm for digital image steganography
Ghebleh, M., & Kanso, A. A. (2013) · Communications in Nonlinear Science and Numerical Simulation · doi:10.1016/j.cnsns.2013.10.014 · Cited by 114 · see citing works
A novel approach for designing substitution-boxes based on nonlinear chaotic algorithm
Hussain, I., Shah, T., & Gondal, M. A. (2012) · Nonlinear Dynamics · doi:10.1007/s11071-012-0573-1 · Cited by 96 · see citing works
Xu, G., Shekofteh, Y., Akgül, A., Li, C., & Panahi, S. (2018) · Entropy · doi:10.3390/e20020086 · Cited by 89 · see citing works
Emulating complex business cycles by using an electronic analogue
Bouali, S., Buscarino, A., Fortuna, L., Frasca, M., & Gambuzza, L. V. (2012) · Nonlinear Analysis Real World Applications · doi:10.1016/j.nonrwa.2012.02.010 · Cited by 72 · see citing works
A novel image encryption algorithm based on chaos maps with Markov properties
Liu, Q., Li, P., Zhang, M., Sui, Y., & Yang, H. (2014) · Communications in Nonlinear Science and Numerical Simulation · doi:10.1016/j.cnsns.2014.06.005 · Cited by 63 · see citing works
Digital watermarking based on chaotic map and reference register
Wu, Y., & Shih, F. Y. (2007) · Pattern Recognition · doi:10.1016/j.patcog.2007.04.013 · Cited by 55 · see citing works
A novel chaos‐based encryption algorithm over TCP data packet for secure communication
Çavuşoğlu, Ü., Akgül, A., Kaçar, S., Pehli̇van, İ., & Zengi̇n, A. (2016) · Security and Communication Networks · doi:10.1002/sec.1414 · Cited by 51 · see citing works
Self-citationA New Two-Dimensional Map with Hidden Attractors
Wang, C., & Ding, Q. (2018) · Entropy · doi:10.3390/e20050322 · Cited by 47 · see citing works
Lai, Q., & Wang, L. (2016) · Optik · doi:10.1016/j.ijleo.2016.03.014 · Cited by 45 · see citing works
SKIPJACK review: interim report
Brickell, E. F., Denning, D. E., Kent, S., Maher, D. P., & Tuchman, W. (1995) · Springer eBooks · Cited by 27 · see citing works
Dynamics analysis and circuit implementation of a new three-dimensional chaotic system
Zhou, W., Wang, Z., Wu, M., Zheng, W., & Weng, J.-F. (2015) · Optik · doi:10.1016/j.ijleo.2015.02.029 · Cited by 26 · see citing works
Study of chaos functions for their suitability in generating Message Authentication Codes
Arumugam, G., Praba, V. L., & Radhakrishnan, S. (2006) · Applied Soft Computing · doi:10.1016/j.asoc.2006.05.005 · Cited by 22 · see citing works
A Novel Digital Image Encryption Algorithm Based on Orbit Variation of Phase Diagram
Shen, Q., & Liu, W. (2017) · International Journal of Bifurcation and Chaos · doi:10.1142/s0218127417502042 · Cited by 15 · see citing works
Approximate entropy (ApEn) as a complexity measure.
Pincus, S. (1995) · PubMed · doi:10.1063/1.166092 · Cited by 2 · see citing works
Charney (1963) · doi:10.1175/1520-0469(1963)020
Flagged first, then by citations
1 of the 65 references couldn’t be matched to a known paper.
Research works printed but not linked: 4
- Stinson, D.R. Cryptography: Theory and Practice; CRC Press: Boca Raton, FL, USA, 1995.
- Schneier, B. Applied Cryptography: Protocols, Algorithms, and Source Code in C, 2nd ed.; Wiley: New York, NY, USA, 1996.
- Webster, A.; Tavares, S.E. On the design of S-boxes. In Conference on the Theory and Application of Cryptographic Techniques; Springer: Berlin/Heidelberg, Germany, 1985; pp. 523-534.
- Rijmen, V.; Daemen, J. Advanced encryption standard. In Proceedings of Federal Information Processing Standards Publications, National Institute of Standards and Technology; NIST: Gaithersburg, MD, USA 2001; pp. 19-22.
Cited by
Sorted by citations
An Efficient Image Encryption Scheme Based on the LSS Chaotic Map and Single S-Box
Lu, Q., Zhu, C., & Deng, X. (2020) · IEEE Access · doi:10.1109/access.2020.2970806 · Cited by 281 · see citing works
A New Chaotic Map With Dynamic Analysis and Encryption Application in Internet of Health Things
Tsafack, N., Sankar, S., Abd-El-Atty, B., Kengne, J., Jithin, K. C., Belazi, A., Mehmood, I., Bashir, A. K., Song, O.-Y., & El‐Latif, A. A. A. (2020) · IEEE Access · doi:10.1109/access.2020.3010794 · Cited by 150 · see citing works
Remote sensing image compression and encryption based on block compressive sensing and 2D-LCCCM
Nan, S.-X., Feng, X., Wu, Y., & Zhang, H. (2022) · Nonlinear Dynamics · doi:10.1007/s11071-022-07335-4 · Cited by 133 · see citing works
A Secure and Fast Image Encryption Scheme Based on Double Chaotic S-Boxes
Zhu, S., Wang, G., & Zhu, C. (2019) · Entropy · doi:10.3390/e21080790 · Cited by 131 · see citing works
Jahanshahi, H., Yousefpour, A., Munoz-Pacheco, J. M., Kaçar, S., Pham, V., & Alsaadi, F. E. (2020) · Applied Mathematics and Computation · doi:10.1016/j.amc.2020.125310 · Cited by 122 · see citing works
Self-citationA Novel Modular Approach Based Substitution-Box Design for Image Encryption
Zahid, A. H., Alsolami, E., & Ahmad, M. (2020) · IEEE Access · doi:10.1109/access.2020.3016401 · Cited by 107 · see citing works
Cryptanalysis and constructing S-Box based on chaotic map and backtracking
Liu, H., Kadir, A., & Xu, C. (2020) · Applied Mathematics and Computation · doi:10.1016/j.amc.2020.125153 · Cited by 105 · see citing works
FPGA implementation of a chaos-based image encryption algorithm
Maazouz, M., Toubal, A., Bengherbia, B., Houhou, O., & Batel, N. (2022) · Journal of King Saud University - Computer and Information Sciences · doi:10.1016/j.jksuci.2021.12.022 · Cited by 101 · see citing works
Framework for Efficient Medical Image Encryption Using Dynamic S-Boxes and Chaotic Maps
Ibrahim, S., Alhumyani, H. A., Masud, M., Alshamrani, S. S., Cheikhrouhou, O., Muhammad, G., Hossain, M. S., & Abbas, A. M. (2020) · IEEE Access · doi:10.1109/access.2020.3020746 · Cited by 99 · see citing works
Generation of Dynamical S-Boxes for Block Ciphers via Extended Logistic Map
Cassal-Quiroga, B. B., & Campos-Cantón, E. (2020) · Mathematical Problems in Engineering · doi:10.1155/2020/2702653 · Cited by 98 · see citing works
Efficient Image Encryption Scheme Using Henon Map, Dynamic S-Boxes and Elliptic Curve Cryptography
Ibrahim, S., & Alharbi, A. A. (2020) · IEEE Access · doi:10.1109/access.2020.3032403 · Cited by 98 · see citing works
An image encryption algorithm using a dynamic S-box and chaotic maps
Zheng, J., & Zeng, Q. (2022) · Applied Intelligence · doi:10.1007/s10489-022-03174-3 · Cited by 98 · see citing works
A Novel S-Box Design Algorithm Based on a New Compound Chaotic System
Lu, Q., Zhu, C., & Wang, G. (2019) · Entropy · doi:10.3390/e21101004 · Cited by 96 · see citing works
Cheng, G., Wang, C., & Xu, C. (2020) · Multimedia Tools and Applications · doi:10.1007/s11042-020-09542-w · Cited by 95 · see citing works
Vijayakumar, M., & Ahilan, A. (2024) · Ain Shams Engineering Journal · doi:10.1016/j.asej.2023.102620 · Cited by 93 · see citing works
Image Encryption Based on Chaotic Sub-Block Scrambling and Chaotic Digit Selection Diffusion
Xian, Y., Wang, X., Yan, X., Li, Q., & Wang, X. (2020) · Optics and Lasers in Engineering · doi:10.1016/j.optlaseng.2020.106202 · Cited by 91 · see citing works
Self-citationEfficient key-dependent dynamic S-boxes based on permutated elliptic curves
Ibrahim, S., & Abbas, A. M. (2021) · Information Sciences · doi:10.1016/j.ins.2021.01.014 · Cited by 87 · see citing works
Zeng, J., & Wang, C. (2021) · Security and Communication Networks · doi:10.1155/2021/6675565 · Cited by 73 · see citing works
Gupta, M. D., & Chauhan, R. K. (2021) · Integration · doi:10.1016/j.vlsi.2021.07.002 · Cited by 69 · see citing works
An Image Encryption Scheme Based on Lorenz Hyperchaotic System and RSA Algorithm
Lin, R., & Li, S. (2021) · Security and Communication Networks · doi:10.1155/2021/5586959 · Cited by 66 · see citing works
A New S-Box Generation Algorithm Based on Multistability Behavior of a Plasma Perturbation Model
Farhan, A. K., Ali, R. S., Natiq, H., & Al-Saidi, N. M. G. (2019) · IEEE Access · doi:10.1109/access.2019.2938513 · Cited by 60 · see citing works
Masood, F., Boulila, W., Alsaeedi, A., Khan, J. S., Ahmad, J. E., Khan, M. A., & Rehman, S. U. (2022) · Multimedia Tools and Applications · doi:10.1007/s11042-022-12844-w · Cited by 59 · see citing works
A New Image Encryption Algorithm Based on Single S-Box and Dynamic Encryption Step
Jun, W. J., & Fun, T. S. (2021) · IEEE Access · doi:10.1109/access.2021.3108789 · Cited by 58 · see citing works
A Novel Method for Performance Improvement of Chaos-Based Substitution Boxes
Artuğer, F., & Özkaynak, F. (2020) · Symmetry · doi:10.3390/sym12040571 · Cited by 57 · see citing works
A New S-Box Generation Method and Advanced Design Based on Combined Chaotic System
Zhu, D., Tong, X., Zhang, M., & Wang, Z. (2020) · Symmetry · doi:10.3390/sym12122087 · Cited by 54 · see citing works
A survey of image encryption for healthcare applications
Priyanka, P., & Singh, A. K. (2022) · Evolutionary Intelligence · doi:10.1007/s12065-021-00683-x · Cited by 52 · see citing works
Image Encryption Scheme Based on a Generalized Arnold Map and RSA Algorithm
Jiao, K., Ye, G., Dong, Y., Huang, X., & He, J. (2020) · Security and Communication Networks · doi:10.1155/2020/9721675 · Cited by 50 · see citing works
A Novel Asymmetric Hyperchaotic Image Encryption Scheme Based on Elliptic Curve Cryptography
Liang, H., Zhang, G., Hou, W.-J., Huang, P.-Y., Liu, B., & Li, S. (2021) · Applied Sciences · doi:10.3390/app11125691 · Cited by 39 · see citing works
An Efficient Plaintext-Related Chaotic Image Encryption Scheme Based on Compressive Sensing
Li, Z., Peng, C., Tan, W., & Li, L. (2021) · Sensors · doi:10.3390/s21030758 · Cited by 48 · see citing works
Chaotic flows with special equilibria
Wang, Z., Wei, Z., Sun, K., He, S., Wang, H., Xu, Q., & Chen, M. (2020) · The European Physical Journal Special Topics · doi:10.1140/epjst/e2020-900239-2 · Cited by 46 · see citing works
Elliptic curve cryptographic image encryption using Henon map and Hopfield chaotic neural network
Parida, P., Pradhan, C., Alzubi, J. A. A., Javadpour, A., Gheisari, M., Liu, Y., & Lee, C. (2023) · Multimedia Tools and Applications · doi:10.1007/s11042-023-14607-7 · Cited by 44 · see citing works
Comparison of Pre and Post-Action of a Finite Abelian Group Over Certain Nonlinear Schemes
Yousaf, M. A., Alolaiyan, H., Ahmad, M., Dilbar, M., & Razaq, A. (2020) · IEEE Access · doi:10.1109/access.2020.2975880 · Cited by 42 · see citing works
On the Design of Chaos-Based S-Boxes
Dimitrov, M. M. (2020) · IEEE Access · doi:10.1109/access.2020.3004526 · Cited by 41 · see citing works
Soto, R., Crawford, B., González, F., & Olivares, R. (2021) · IEEE Access · doi:10.1109/access.2021.3087139 · Cited by 41 · see citing works
Li, Z., Peng, C., Tan, W., & Li, L. (2020) · Applied Sciences · doi:10.3390/app10217469 · Cited by 39 · see citing works
An Image Encryption Algorithm Using Cascade Chaotic Map and S-Box
Zheng, J., & Bao, T. (2022) · Entropy · doi:10.3390/e24121827 · Cited by 39 · see citing works
A Novel Parallelizable Chaotic Image Encryption Scheme Based on Elliptic Curves
Abbas, A. M., Alharbi, A. A., & Ibrahim, S. (2021) · IEEE Access · doi:10.1109/access.2021.3068931 · Cited by 38 · see citing works
A new image encryption scheme based on a hyperchaotic system & multi specific S-boxes
Brahim, A. H., pacha, A. A., & Said, N. H. (2021) · Information Security Journal A Global Perspective · doi:10.1080/19393555.2021.1943572 · Cited by 38 · see citing works
Toward Industrial Private AI: A Two-Tier Framework for Data and Model Security
Khowaja, S. A., Dev, K., Qureshi, N. M. F., Khuwaja, P., & Foschini, L. (2022) · IEEE Wireless Communications · doi:10.1109/mwc.001.2100479 · Cited by 36 · see citing works
Zhuang, Z., Zhuang, Z., & Wang, T. (2024) · Scientific Reports · doi:10.1038/s41598-023-50661-9 · Cited by 33 · see citing works
A Novel Optimization Method for Constructing Cryptographically Strong Dynamic S-Boxes
Ibrahim, S., & Abbas, A. M. (2020) · IEEE Access · doi:10.1109/access.2020.3045260 · Cited by 33 · see citing works
2D and 3D compatible chaotic image encryption system based on checkers rules and shift register
Cai, C., Cao, Y., Jahanshahi, H., Mou, J., & Sun, B. (2024) · Journal of the Franklin Institute · doi:10.1016/j.jfranklin.2024.106874 · Cited by 31 · see citing works
Shafique, A., Mehmood, A., Alawida, M., Khan, A. N., & Shuja, J. (2025) · Telecommunication Systems · doi:10.1007/s11235-024-01251-1 · Cited by 31 · see citing works
Designing Substitution Box Based on the 1D Logistic Map Chaotic System
Fadhil, M. S., Farhan, A. K., & Fadhil, M. N. (2021) · IOP Conference Series Materials Science and Engineering · doi:10.1088/1757-899x/1076/1/012041 · Cited by 31 · see citing works
Designing S-Box Using Tent-Sine Chaotic System While Combining the Traits of Tent and Sine Map
Malik, A. W., Zahid, A. H., Bhatti, D. S., Kim, H. J., & Kim, K. (2023) · IEEE Access · doi:10.1109/access.2023.3298111 · Cited by 31 · see citing works
Image Encryption Using Dynamic Image as a Key Based on Multilayers of Chaotic Permutation
Jirjees, S. W., Alkhalid, F. F., & Shareef, W. F. (2023) · Symmetry · doi:10.3390/sym15020409 · Cited by 29 · see citing works
Speech Encryption Algorithm Based on Nonorthogonal Quantum State with Hyperchaotic Keystreams
Farsana, F. J., & Gopakumar, K. (2020) · Advances in Mathematical Physics · doi:10.1155/2020/8050934 · Cited by 28 · see citing works
Zhu, S., & Zhu, C. (2021) · Entropy · doi:10.3390/e23050505 · Cited by 28 · see citing works
Shafique, A., Mehmood, A., Alawida, M., Elhadef, M., & Rehman, M. U. (2024) · Multimedia Tools and Applications · doi:10.1007/s11042-024-18959-6 · Cited by 28 · see citing works
Wang, X., Su, Y., Luo, C., & Wang, C. (2020) · PLoS ONE · doi:10.1371/journal.pone.0236015 · Cited by 27 · see citing works
Self-citationDynamic S-Box Generation Using Novel Chaotic Map with Nonlinearity Tweaking
Zahid, A. H., Arshad, M. J., Ahmad, M., Soliman, N. F., & El‐Shafai, W. (2023) · Computers, materials & continua/Computers, materials & continua (Print) · doi:10.32604/cmc.2023.037516 · Cited by 26 · see citing works
Malik, D. S., Shah, T., Tehsin, S., Nasir, I. M., Fitriyani, N. L., & Syafrudin, M. (2024) · Mathematics · doi:10.3390/math12152302 · Cited by 26 · see citing works
Image Encryption Using Elliptic Curves and Rossby/Drift Wave Triads
Ullah, I., Hayat, U., & Bustamante, M. D. (2020) · Entropy · doi:10.3390/e22040454 · Cited by 26 · see citing works
Fast and Lightweight Image Cryptosystem for IoMT Applications
Islam, M. O. U., & Parah, S. A. (2024) · Internet of Things · doi:10.1016/j.iot.2024.101083 · Cited by 24 · see citing works
Ali, A., Khan, M. A., Ayyasamy, R. K., & Wasif, M. (2022) · PeerJ Computer Science · doi:10.7717/peerj-cs.940 · Cited by 23 · see citing works
Reconfigurable color medical image encryptor using hardware accelerated Chao(S)-box triplets
Vinoth Raj, R., Janakiraman, S., & Amirtharajan, R. (2023) · Journal of Real-Time Image Processing · doi:10.1007/s11554-023-01278-8 · Cited by 23 · see citing works
Venkatesh, J., Pchelintsev, A. N., Karthikeyan, A., Parastesh, F., & Jafari, S. (2023) · Mathematics · doi:10.3390/math11214470 · Cited by 23 · see citing works
Self-citationChen, R., Li, X., Teng, L., & Wang, X. (2023) · Physica Scripta · doi:10.1088/1402-4896/acbcf8 · Cited by 21 · see citing works
Self-citationAydın, Y., Garıpcan, A. M., & Özkaynak, F. (2024) · Arabian Journal for Science and Engineering · doi:10.1007/s13369-024-09251-8 · Cited by 21 · see citing works
Creation of S-box based on a hierarchy of Julia sets: image encryption approach
Sani, R. H., Behnia, S., & Akhshani, A. (2021) · Multidimensional Systems and Signal Processing · doi:10.1007/s11045-021-00786-9 · Cited by 21 · see citing works
S-Boxes design based on the Lu-Chen system and their application in image encryption
Savadkouhi, M. B., & Tootkaboni, M. A. (2024) · Soft Computing · doi:10.1007/s00500-024-09912-8 · Cited by 20 · see citing works
Li, Z., Yang, S., Tan, W., & Wu, X. (2024) · Nonlinear Dynamics · doi:10.1007/s11071-024-10317-3 · Cited by 20 · see citing works
A Nonlinear Five-Term System: Symmetry, Chaos, and Prediction
Thoai, V. P., Shahriari‐kahkeshi, M., Huynh, V. V., Ouannas, A., & Pham, V. (2020) · Symmetry · doi:10.3390/sym12050865 · Cited by 19 · see citing works
Self-citationImproving the Statistical Qualities of Pseudo Random Number Generators
Álvarez, R., Martinez, F.-M., & Zamora, A. (2022) · Symmetry · doi:10.3390/sym14020269 · Cited by 16 · see citing works
Construction of dynamical S-boxes based on image encryption approach
Sani, R. H., Behnia, S., Sarmady, S., & Fathizadeh, S. (2022) · Soft Computing · doi:10.1007/s00500-022-07443-8 · Cited by 16 · see citing works
Khan, M. S., Ahmad, J. E., Ali, H., Pitropakis, N., Al‐Dubai, A., Ghaleb, B., & Buchanan, W. J. (2023) · International Conference on Engineering and Emerging Technologies (ICEET) · doi:10.1109/iceet60227.2023.10525758 · Cited by 14 · see citing works
A Tweak-Cube Color Image Encryption Scheme Jointly Manipulated by Chaos and Hyper-Chaos
Huang, L., Wang, S., & Xiang, J. (2019) · Applied Sciences · doi:10.3390/app9224854 · Cited by 14 · see citing works
Liu, L., Jiang, D., An, T., & Guan, Y. (2020) · IEEE Access · doi:10.1109/access.2020.2983716 · Cited by 14 · see citing works
Li, L., El-Latif, A. A. A., Jafari, S., Rajagopal, K., Nazarimehr, F., & Abd-El-Atty, B. (2022) · Sensors · doi:10.3390/s22010334 · Cited by 14 · see citing works
Self-citationZolfaghari-Nejad, M., Charmi, M., & Hassanpoor, H. (2022) · Complexity · doi:10.1155/2022/4488971 · 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
Kumar, B. S., & Revathi, R. (2024) · Journal of the Institution of Electronics and Telecommunication Engineers · doi:10.1080/03772063.2024.2373899 · Cited by 6 · see citing works
FPGA simulation of chaotic tent map‐based S‐Box design
Türk, Ö. (2022) · International Journal of Circuit Theory and Applications · doi:10.1002/cta.3242 · Cited by 13 · see citing works
Zhang, L., Ma, C., Zhao, Y., & Zhao, W. (2023) · Mathematics · doi:10.3390/math12010084 · Cited by 13 · see citing works
A novel hybrid scheme for chaotic image encryption
Li, Y., Wang, Q., & Yu, S. (2024) · Physica Scripta · doi:10.1088/1402-4896/ad3171 · Cited by 12 · see citing works
Su, Y., & Wang, X. (2021) · Multimedia Systems · doi:10.1007/s00530-021-00861-y · Cited by 12 · see citing works
Self-citationDíaz-Muñoz, J. D., Cruz-Vega, I., Tlelo‐Cuautle, E., Ramírez-Cortés, J. M., & Rangel‐Magdaleno, J. (2021) · The European Physical Journal Special Topics · doi:10.1140/epjs/s11734-021-00319-2 · Cited by 12 · see citing works
A High-Security Privacy Image Encryption Algorithm Based on Chaos and Double Encryption Strategy
Cheng, Z., Wang, W., Dai, Y., & Li, L. (2022) · Journal of Applied Mathematics · doi:10.1155/2022/9040702 · Cited by 12 · see citing works
Liu, Z., Li, P., Cao, Y., & Mou, J. (2025) · International Journal of Modern Physics C · doi:10.1142/s012918312550038x · Cited by 11 · see citing works
4D chaotic system as random Substitution-Box
Alshekly, T. K., Albahrani, E. A., & Lafta, S. H. (2022) · Multimedia Tools and Applications · doi:10.1007/s11042-022-11928-x · Cited by 11 · see citing works
QIULEA: Quantum-inspired ultra-lightweight encryption algorithm for IOT devices
Jafer, S. H., Abedi, W. M. S., Al-Kateb, G., Aljanabi, M., Mijwil, M. M., Abotaleb, M. S. A., & Dhoska, K. (2024) · Pollack Periodica · doi:10.1556/606.2024.01139 · Cited by 9 · see citing works
Secure Key-Based Substitution-Boxes Design Using Systematic Search for High Nonlinearity
Zahid, A. H., Elahi, H. A. M., Ahmad, M., Maghrabi, L. A., & Agieb, R. S. (2023) · IEEE Access · doi:10.1109/access.2023.3339389 · Cited by 9 · see citing works
Extended of TEA: A 256 bits block cipher algorithm for image encryption
Shimal, A. F., Helal, B. H., & Hashim, A. T. (2021) · International Journal of Power Electronics and Drive Systems/International Journal of Electrical and Computer Engineering · doi:10.11591/ijece.v11i5.pp3996-4007 · Cited by 9 · see citing works
Yadav, K., & Chaware, T. (2021) · International Conference on Signal Processing, Computing and Control (ISPCC) · doi:10.1109/ispcc53510.2021.9609351 · Cited by 9 · see citing works
Abd-Elhafiez, W. M., Abdel‐Aty, M., Yang, X., & Balobaid, A. S. (2023) · Fractals · doi:10.1142/s0218348x23401242 · Cited by 8 · see citing works
QIS-Box: Pioneering Ultralightweight S-Box Generation with Quantum Inspiration
Al-Kateb, G. (2024) · Mesopotamian Journal of CyberSecurity · doi:10.58496/mjcs/2024/010 · Cited by 8 · see citing works
Cryptanalyzing an Image Cryptosystem Based on Circular Inter-Intra Pixels Bit-Level Permutation
Zhang, Y. (2020) · IEEE Access · doi:10.1109/access.2020.2995839 · Cited by 6 · see citing works
Sriram, B., Kuate, P. D. K., Metsebo, J., Ngongiah, I. K., & Rajagopal, K. (2023) · Pramana · doi:10.1007/s12043-023-02675-1 · Cited by 8 · see citing works
Silva-Garcia, V. M., Flores-Carapia, R., Gonzalez-Ramirez, M. D., Vega-Alvarado, E., & Villarreal-Cervantes, M. G. (2020) · IEEE Access · doi:10.1109/access.2020.3042475 · Cited by 7 · see citing works
“Because of its implementation using Java-language threads, the execution time of SCEC is considerably lower than in other proposals [32]–[35].”
MethodGonzález, F., Soto, R., & Crawford, B. (2022) · Mathematics · doi:10.3390/math10132172 · Cited by 7 · see citing works
New S-Box Transformation Based on Chaotic System for Image Encryption
Hassan, J. M., & Kadhim, F. A. (2020) · International Conference on Engineering Technology and its Applications (IICETA) · doi:10.1109/iiceta50496.2020.9318793 · Cited by 7 · see citing works
An approach for constructing the S-box using the CML system
Liu, L., & Lei, Z. (2019) · Journal of Physics Conference Series · doi:10.1088/1742-6596/1303/1/012090 · Cited by 7 · see citing works
S-Box Construction Method Based on the Combination of Quantum Chaos and PWLCM Chaotic Map
Peng, J., Jin, S., Pang, S., Zhang, D., Feng, L., Li, Z., & Wang, Y. (2021) · International Journal of Cognitive Informatics and Natural Intelligence · doi:10.4018/ijcini.20211001.oa24 · Cited by 7 · see citing works
Chaos Based Pseudo Random Bit Generator Design and Its Application in Secure Image Encryption
İnce, E., Karakaya, B., & Türk, M. (2022) · Traitement du signal · doi:10.18280/ts.390522 · Cited by 6 · see citing works
Su, Y., Wang, X., & Lin, S. (2022) · Chinese Physics B · doi:10.1088/1674-1056/ac6861 · Cited by 6 · see citing works
Self-citationFast and Efficient Chaos-Based Algorithm for Multimedia Data Encryption
Bouteghrine, B., Tanougast, C., & Sadoudi, S. (2021) · International Conference on Electrical, Computer, Communications and Mechatronics Engineering (ICECCME) · doi:10.1109/iceccme52200.2021.9591149 · Cited by 5 · see citing works
Ayub, J., Aqeel, M., & Sunny, D. A. (2022) · Soft Computing · doi:10.1007/s00500-022-07608-5 · Cited by 5 · see citing works
Aruna, S., & Usha Nandhini, G. (2021) · Microprocessors and Microsystems · doi:10.1016/j.micpro.2020.103737 · Cited by 5 · see citing works
RetractedA lightweight image encryption algorithm based on patterns in Rubik’s revenge cube
Yousaf, A., Razaq, A., & Baig, H. (2022) · Multimedia Tools and Applications · doi:10.1007/s11042-022-11898-0 · Cited by 5 · see citing works
- Authors
- Wang, X., Çavuşoğlu, Ü., Kacar, S., Akgul, A., Pham, V.-T., Jafari, S., Alsaadi, F. E., & Nguyen, X. Q.
- Affiliations
- Shenzhen University (CN)
- Sakarya University (TR)
- Department of Electrical and Electronics Engineering, Faculty of Technology, Sakarya University, 54187 Serdivan, Turkey
- Department of Electrical and Electronics Engineering, Faculty of Technology, Sakarya University of Applied Sciences, 54187 Serdivan, Turkey
- Ton Duc Thang University (VN)
- Amirkabir University of Technology (IR)
- King Abdulaziz University (SA)
- National Council for Science and Technology Policy (VN)
- Corresponding author
- Pham, Viet-Thanh
- Venue
- Applied Sciences
- Publisher
- MDPI AG
- Published
- 2019-02-22
- Volume
- 9
- Issue
- 4
- Pages
- 781
- ISSN
- 2076-3417 (ISSN-L)
- OpenAlex
- W2916974458
- Cited by
- 125
- References
- 65
- Citations by year
- 2026: 3 · 2025: 4 · 2024: 19 · 2023: 17 · 2022: 25 · 2021: 26 · 2020: 26 · 2019: 5
- FWCI
- 9.16
- Type
- journal article
- Language
- en
- Open access
- gold
- dx.doi.org
- Licence
- Locations
- Applied Sciences (publishedVersion, cc-by)
- Sakarya Üniversitesi Kurumsal Açık Akademik Arşivi (submittedVersion)
- Sakarya University of Applied Sciences Institutional Repository (submittedVersion, other-oa)
- DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion, cc-by-sa)
- Funders
- National Natural Science Foundation of China (No. 61601306)
- and Shenzhen Overseas High Level Talent Peacock Project Fund (No. 20150215145C)
- Topics
- Physical Sciences › Computer Science › Computer Vision and Pattern Recognition › Chaos-based Image/Signal Encryption
- Physical Sciences › Computer Science › Artificial Intelligence › Cryptographic Implementations and Security
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Chaos control and synchronization
- Keywords
- image encryption, S-box, hidden attractors, circuit implementation, Lyapunov exponents, entropy analysis, encryption security analysis
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
