A novel algorithm for image encryption based on mixture of chaotic maps
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Behnia and Akhshani's mixture of the Logistic map with a coupled map has large key space and high-level security, although its speed is only acceptable.
“S. Behnia and A. Akhshani [55] were the first to mix the Logistic map with a coupled map based on [56,57] for image encryption.This mixture scheme has large key space and high-level security, although its speed is only acceptable.”
From Chaos-Based Image Encryption: Review, Application, and Challenges (2023) · cites this paper as [55]
Cites
A Mathematical Theory of Communication
Shannon, C. E. (1948) · Bell System Technical Journal · doi:10.1002/j.1538-7305.1948.tb01338.x · Cited by 88,486 · 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 · cited 1× · see citing works
“In regard to the tight relationship between cryptography and chaos theory and two general principles which leads to the design of good cryptosystems, diffusion and confusion [32], and with respect to partitioning of the state space which turns the deterministic chaotic system into an ergodic information source that ca…”
BackgroundA symmetric image encryption scheme based on 3D chaotic cat maps
Chen, G., Mao, Y., & Chui, C. K. (2004) · Chaos, Solitons & Fractals · doi:10.1016/j.chaos.2003.12.022 · Cited by 2,092 · see citing works
A novel block cryptosystem based on iterating a chaotic map
Xiang, T., Liao, X., Tang, G., Chen, Y., & Wong, K.-W. (2006) · Physics Letters A · doi:10.1016/j.physleta.2005.02.083 · Cited by 209 · see citing works
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Local Shannon entropy measure with statistical tests for image randomness
Wu, Y., Zhou, Y., Saveriades, G., Agaian, S., Noonan, J. P., & Natarajan, P. (2013) · Information Sciences · doi:10.1016/j.ins.2012.07.049 · Cited by 722 · see citing works
An image encryption scheme based on chaotic tent map
Li, C., Luo, G., Qin, K., & Li, C. (2017) · Nonlinear Dynamics · doi:10.1007/s11071-016-3030-8 · Cited by 497 · see citing works
Chaos-Based Image Encryption: Review, Application, and Challenges
Zhang, B., & Liu, L. (2023) · Mathematics · doi:10.3390/math11112585 · Cited by 328 · see citing works
“S. Behnia and A. Akhshani [55] were the first to mix the Logistic map with a coupled map based on [56,57] for image encryption.”
BackgroundA Novel Hybrid Secure Image Encryption Based on Julia Set of Fractals and 3D Lorenz Chaotic Map
Masood, F., Ahmad, J., Shah, S. A., Jamal, S. S., & Hussain, I. (2020) · Entropy · doi:10.3390/e22030274 · Cited by 125 · see citing works
Chaos-Based Confusion and Diffusion of Image Pixels Using Dynamic Substitution
Qayyum, A., Ahmad, J., Boulila, W., Rubaiee, S., Arshad, Masood, F., Khan, F., & Buchanan, W. J. (2020) · IEEE Access · doi:10.1109/access.2020.3012912 · Cited by 111 · see citing works
Lightweight medical-image encryption technique for IoMT based healthcare applications
Islam, M. O. U., Parah, S. A., Malik, B. A., & Malik, S. A. (2024) · Multimedia Tools and Applications · doi:10.1007/s11042-024-19281-x · Cited by 18 · see citing works
- Authors
- Behnia, S., Akhshani, A., Mahmodi, H., & Akhavan, A.
- Affiliations
- Urmia University (IR)
- Corresponding author
- Behnia, S.
- Venue
- Chaos, Solitons & Fractals
- Publisher
- Elsevier BV
- Published
- 2008-01
- Volume
- 35
- Issue
- 2
- Pages
- 408-419
- ISSN
- 0960-0779 (ISSN-L)
- OpenAlex
- W2000093475
- Cited by
- 430
- References
- 4
- Citations by year
- 2026: 13 · 2025: 15 · 2024: 13 · 2023: 11 · 2022: 22 · 2021: 28 · 2020: 25 · 2019: 28 · 2018: 19 · 2017: 26 · 2016: 22 · 2015: 28 · 2014: 30 · 2013: 28 · 2012: 34
- FWCI
- 13.77
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Chaos Solitons & Fractals (publishedVersion)
- RePEc: Research Papers in Economics (submittedVersion)
- 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 › Physics and Astronomy › Statistical and Nonlinear Physics › Chaos control and synchronization
- Keywords
- image encryption, chaos-based cryptography, coupled maps, one-dimensional chaotic maps, symmetric encryption, key space, security analysis, secure data transmission
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