A Novel Image Encryption Algorithm Based on a Fractional-Order Hyperchaotic System and DNA Computing
Open accessAbstract
In the era of the Internet, image encryption plays an important role in information security. Chaotic systems and DNA operations have been proven to be powerful for image encryption. To further enhance the security of image, in this paper, we propose a novel algorithm that combines the fractional-order hyperchaotic Lorenz system and DNA computing (FOHCLDNA) for image encryption. Specifically, the algorithm consists of four parts: firstly, we use a fractional-order hyperchaotic Lorenz system to generate a pseudorandom sequence that will be utilized during the whole encryption process; secondly, a simple but effective diffusion scheme is performed to spread the little change in one pixel to all the other pixels; thirdly, the plain image is encoded by DNA rules and corresponding DNA operations are performed; finally, global permutation and 2D and 3D permutation are performed on pixels, bits, and acid bases. The extensive experimental results on eight publicly available testing images demonstrate that the encryption algorithm can achieve state-of-the-art performance in terms of security and robustness when compared with some existing methods, showing that the FOHCLDNA is promising for image encryption.
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Classical hybrid cryptosystems combine a symmetric image cipher with asymmetric key transport such as ElGamal, ECC, Hill cipher variants or RSA, all of which are broken in polynomial time by Shor's algorithm.
“Second, classical hybrid cryptosystems [32][33][34][35][36][37][38] consist of a combination of a symmetric image cypher and asymmetric key transport, which is either ElGamal, ECC, Hill cypher variants or RSA; all of which are the weakest links broken in polynomial time by Shor's algorithm.”
From A hybrid encryption algorithm based on AES and Kyber for secure image protection in the post-quantum era (2026) · cites this paper as [33]
The Introduction mentions a symmetric image-encryption scheme, while §4.2 discusses the proposed algorithm’s secret keys. Neither passage addresses hybrid cryptosystems, asymmetric key transport, or Shor’s algorithm; searches for those terms and the named algorithms found no supporting passage in our copy. (LLM, conf=0.76)
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- Authors
- Li, T., Yang, M., Wu, J., & Jing, X.
- Affiliations
- Southwestern University of Finance and Economics (CN)
- Corresponding author
- Li, Taiyong
- Venue
- Complexity
- Publisher
- Wiley
- Published
- 2017
- Volume
- 2017
- Pages
- 1-13
- ISSN
- 1076-2787 (ISSN-L)
- 1099-0526
- OpenAlex
- W2770106662
- Cited by
- 55
- References
- 40
- Citations by year
- 2026: 3 · 2025: 2 · 2024: 2 · 2023: 3 · 2022: 7 · 2021: 12 · 2020: 13 · 2019: 9 · 2018: 4
- FWCI
- 2.95
- Type
- journal article
- Language
- en
- Open access
- gold
- doi.org
- Locations
- Complexity (publishedVersion, cc-by)
- RePEc: Research Papers in Economics (submittedVersion)
- DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion, cc-by-sa)
- Funders
- National Natural Science Foundation of China (91218301, JBK170944, JBK170505, JBK130503, 71473201, 17ZB0433)
- Fundamental Research Funds for the Central Universities (91218301, JBK170944, JBK170505, JBK130503, 71473201, 17ZB0433)
- Education Department of Sichuan Province (91218301, JBK170944, JBK170505, JBK130503, 71473201, 17ZB0433)
- 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
- image encryption, DNA computing, pseudorandom sequence generation, diffusion schemes, pixel permutation, chaos-based cryptography, information security
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