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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.
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“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]
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Metadata
- 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 ›
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