A randomized CPA-secure asymmetric-key chaotic color image encryption scheme based on the Chebyshev mappings and one-time pad
Open accessAbstract
In this paper, a novel randomized chaotic asymmetric-key algorithm is proposed for color image encryption. Using the multiplicative coupled Chebyshev-based encryption algorithm, a novel chaotic key establishment algorithm using Chebyshev polynomials is proposed. This key establishment algorithm is used to generate three chaotic pseudo-random number sequences to permute the rows and the columns of the plain image randomly. Then, each pixel is XORed with respect to a random value obtained based on its new position to mask its value. The whole encryption algorithm is randomized, so it can resist chosen plaintext attacks. The experimental and security analysis of the proposed algorithm shows that the proposed algorithm has a large keyspace, a good level of security, and an acceptable level of robustness.
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The key space of the algorithm of [121] was greatly expanded.
“The key space of this algorithm was greatly expanded.”
From Chaos-Based Image Encryption: Review, Application, and Challenges (2023) · cites this paper as [121]
The Keyspace section says the algorithm’s key space depends on the chosen key length and can be made arbitrarily large; the Conclusion also calls it large. Neither passage establishes that it was greatly expanded relative to an earlier algorithm or baseline. Page numbers are not available in our copy. (LLM, conf=0.82)
Experimental — accuracy not yet measuredThe algorithm of [121] is secure enough to resist chosen-plaintext attack (CPA).
“Furthermore, it is secure enough to resist chosen-plaintext attack (CPA).”
From Chaos-Based Image Encryption: Review, Application, and Challenges (2023) · cites this paper as [121]
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Cites
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Cited by
Sorted by citations
Chaos-Based Image Encryption: Review, Application, and Challenges
Zhang, B., & Liu, L. (2023) · Mathematics · doi:10.3390/math11112585 · Cited by 328 · see citing works
“Ali Shakiba [121] introduced a Chebyshev polynomial-based image-encryption algo-rithm with a chaotic PRNG to replicate a one-time pad.”
Method
- Authors
- Shakiba, A.
- Affiliations
- Vali Asr University of Rafsanjan (IR)
- Corresponding author
- Shakiba, Ali
- ORCID
- Shakiba, Ali
- Venue
- Journal of King Saud University - Computer and Information Sciences
- Published
- 2021-06
- Volume
- 33
- Issue
- 5
- Pages
- 562-571
- ISSN
- 1319-1578 (ISSN-L)
- OpenAlex
- W2921716797
- Cited by
- 32
- References
- 4
- Citations by year
- 2026: 3 · 2025: 8 · 2024: 3 · 2023: 6 · 2022: 5 · 2021: 3 · 2020: 3 · 2019: 1
- FWCI
- 1.34
- Type
- journal article
- Language
- en
- Open access
- hybrid
- doi.org
- Licence
- Locations
- Journal of King Saud University - Computer and Information Sciences (publishedVersion, cc-by-nc-nd)
- DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion, cc-by-sa)
- 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 › Computer Science › Computer Vision and Pattern Recognition › Advanced Steganography and Watermarking Techniques
- Keywords
- color image encryption, chaos-based cryptography, Chebyshev polynomials, one-time pad, CPA security, public-key cryptography, pseudorandom number generation, pixel permutation, chosen-plaintext attack resistance
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