Improved Cryptanalysis and Enhancements of an Image Encryption Scheme Using Combined 1D Chaotic Maps
Open accessAbstract
This paper presents an improved cryptanalysis of a chaos-based image encryption scheme, which integrated permutation, diffusion, and linear transformation process. It was found that the equivalent key streams and all the unknown parameters of the cryptosystem can be recovered by our chosen-plaintext attack algorithm. Both a theoretical analysis and an experimental validation are given in detail. Based on the analysis of the defects in the original cryptosystem, an improved color image encryption scheme was further developed. By using an image content–related approach in generating diffusion arrays and the process of interweaving diffusion and confusion, the security of the cryptosystem was enhanced. The experimental results and security analysis demonstrate the security superiority of the improved cryptosystem.
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Based on [16] and [18], both the equivalent secret key of Pak et al.'s scheme and all its unknown parameters can be recovered with a few more chosen plain-image/cipher-image pairs.
“Based on the preliminary cryptanalysis works given in [16] and [18], both the equivalent secret-key of Pak's scheme and all its unknown parameters are recovered by a little more pairs of chosen plain-image and the corresponding cipher-image in [19].”
From When an attacker meets a cipher-image in 2018: A year in review (2019) · cites this paper as [19]
In 2018, improvement methods were proposed to fix reported security defects in a number of papers on image cryptanalysis.
“In 2018, improvement (enhancement, remedy) methods were proposed to fix the reported security defects in a number of papers on image cryptanalysis as references [6,13,14,15,16,17,18,19,20,30,32,119,131].”
From When an attacker meets a cipher-image in 2018: A year in review (2019) · cites this paper as [19]
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- Authors
- Zhu, C., Wang, G., & Sun, K.
- Affiliations
- Central South University (CN)
- Guangzhou University (CN)
- Corresponding author
- Zhu, Congxu
- Venue
- Entropy
- Publisher
- MDPI AG
- Published
- 2018-11-03
- Volume
- 20
- Issue
- 11
- Pages
- 843
- ISSN
- 1099-4300 (ISSN-L)
- PMC
- PMC7512405
- OpenAlex
- W2899877560
- Cited by
- 76
- References
- 0
- Citations by year
- 2026: 2 · 2025: 5 · 2024: 4 · 2023: 5 · 2022: 14 · 2021: 11 · 2020: 13 · 2019: 21 · 2018: 1
- FWCI
- 5.75
- Type
- journal article
- Language
- en
- Open access
- gold
- dx.doi.org
- Licence
- Locations
- Entropy (publishedVersion, cc-by)
- PubMed Central (publishedVersion, cc-by)
- PubMed (publishedVersion)
- DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion, cc-by-sa)
- Funders
- National Natural Science Foundation of China (61472451)
- the Open Project of Guangxi Colleges and Universities Key Laboratory of Complex System Optimization and Big Data Processing (2016CSOBDP0103)
- 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 › Artificial Intelligence › Cryptographic Implementations and Security
- Keywords
- image encryption, chaos-based cryptography, cryptanalysis, chosen-plaintext attack, key recovery, permutation and diffusion, linear operators, color image encryption, confusion and diffusion
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