Cryptography with chaos
Integrity signals
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Extending the two-dimensional Baker map to three dimensions yields better chaotic characteristics in LE and retains high security while enabling fast image encryption.
“Yaobin Mao and Guangrong Chen [38], based on the achievement of F. Pichler and J. Scharingers [43], further extended a two-dimensional Baker map to three dimensions with better chaotic characteristics in LE for fast image encryption while retaining its high security.”
From Chaos-Based Image Encryption: Review, Application, and Challenges (2023) · cites this paper as [38]
Cites
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
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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
An image encryption approach based on chaotic maps
Zhang, L., Liao, X., & Wang, X. (2005) · Chaos, Solitons & Fractals · doi:10.1016/j.chaos.2004.09.035 · Cited by 374 · 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
“A Logistic-map-based image encryption was introduced by Tao Xiang and Xiaofeng Liao [29] on the basis of [38], in which the plaintext block is permuted by a key-dependent shift approach and then encrypted by the permutation–diffusion-based technique.”
BackgroundMethodA 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
Image encryption with chaotically coupled chaotic maps
Pisarchik, A. N., & Zanin, M. (2008) · Physica D: Nonlinear Phenomena · doi:10.1016/j.physd.2008.03.049 · Cited by 175 · see citing works
Cheng, G., Wang, C., & Chen, H. (2019) · International Journal of Bifurcation and Chaos · doi:10.1142/s0218127419501153 · Cited by 127 · see citing works
A 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
S-Box Based Image Encryption Application Using a Chaotic System without Equilibrium
Wang, X., Çavuşoğlu, Ü., Kacar, S., Akgul, A., Pham, V.-T., Jafari, S., Alsaadi, F. E., & Nguyen, X. Q. (2019) · Applied Sciences · doi:10.3390/app9040781 · 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
A novel bit permutation-based image encryption algorithm
Raza, S. F., & Satpute, V. (2019) · Nonlinear Dynamics · doi:10.1007/s11071-018-4600-8 · Cited by 99 · see citing works
Chaotic behavior of logistic map in superior orbit and an improved chaos-based traffic control model
Ashish, Cao, J., & Chugh, R. (2018) · Nonlinear Dynamics · doi:10.1007/s11071-018-4403-y · Cited by 50 · see citing works
Cryptography with chaotic mixing
de Oliveira, L. P. L., & Sobottka, M. (2008) · Chaos, Solitons & Fractals · doi:10.1016/j.chaos.2006.05.049 · Cited by 45 · see citing works
Image encryption algorithm based on factorial decomposition
AlShaikh, M., Alzaqebah, M., Gmati, N., Alrefai, N., Alsmadi, M. K., Almarashdeh, I., Mohammad, R. M. A., Alamri, S., & Kara, M. (2024) · Multimedia Tools and Applications · doi:10.1007/s11042-023-17663-1 · Cited by 21 · see citing works
- Authors
- Baptista, M. S.
- Affiliations
- University of Maryland, College Park (US)
- Corresponding author
- Baptista, M.S.
- ORCID
- Baptista, M.S.
- Venue
- Physics Letters A
- Publisher
- Elsevier BV
- Published
- 1998-03
- Volume
- 240
- Issue
- 1-2
- Pages
- 50-54
- ISSN
- 0375-9601 (ISSN-L)
- OpenAlex
- W2053111047
- Cited by
- 885
- References
- 1
- Citations by year
- 2026: 16 · 2025: 22 · 2024: 28 · 2023: 25 · 2022: 22 · 2021: 36 · 2020: 44 · 2019: 39 · 2018: 40 · 2017: 44 · 2016: 41 · 2015: 61 · 2014: 41 · 2013: 54 · 2012: 47
- FWCI
- 7.82
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Physics Letters A (publishedVersion)
- Topics
- Physical Sciences › Computer Science › Computer Vision and Pattern Recognition › Chaos-based Image/Signal Encryption
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Chaos control and synchronization
- Physical Sciences › Mathematics › Mathematical Physics › Mathematical Dynamics and Fractals
- Keywords
- chaos-based cryptography, logistic map, chaotic attractors, ergodicity, message encryption, low-dimensional chaos
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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.
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