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Cited by 171Chaos-based Image/Signal EncryptionComputer Science and EngineeringCryptographic Implementations and Security

Cryptanalyzing and improving a novel color image encryption algorithm using RT-enhanced chaotic tent maps

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Zhu, Congxu, Sun, Kehui·2018·IEEE Access
DOI 10.1109/access.2018.2817600
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Abstract

In recent years, chaos-based image encryption algorithms have aroused extensive research interest. However, some image encryption algorithms still have several security defects, and the research on cryptanalysis is relatively inadequate. This paper performs the cryptanalysis of a newly proposed color image encryption scheme using RT-enhanced chaotic tent map. By using chosen-plaintext attacks, the equivalent keys of the cryptosystem are successfully broken, so that the target ciphertext image can be decoded. Based on the cryptanalysis, we then proposed an improved encryption algorithm. A new logistic-tent map is proposed and applied to the improved encryption algorithm, and a parameter related to the SHA-3 hash value of the plaintext image is introduced as a secret key parameter so that the improved algorithm can resist chosen-plaintext attacks. The security analysis and experimental tests for the improved algorithm are given in detail, which show that the improved algorithm can significantly increase the security of encryption images while still possessing all the merits of the original algorithm.

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  • The sensitivity mechanisms of PRNS on the plain-image built in [80,119,27,92] can be easily canceled by constructing special plain-images.

    “For example, the sensitivity mechanisms of PRNS on the plain-image built in [80,119,27,92] can be easily canceled by constructing some special plain-images, which has been reported in many cryptanalysis papers such as [1,117].”

    From When an attacker meets a cipher-image in 2018: A year in review (2019) · cites this paper as [119]

    Section III and ‘A. Recover the Encryption Key Streams’ show that specially chosen plaintext images, including an all-zero image, let the authors recover key streams in the algorithm they attack. But ‘C. Recover the Target Plain Image’ says those streams are unrelated to the plaintext, so this is not an example of canceling a plain-image-dependent PRNS sensitivity mechanism. Section G says the paper’s improved, plaintext-dependent streams cannot be reused to decrypt a different image. (LLM, conf=0.84)

    Experimental — accuracy not yet measured

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Cites

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Research works printed but not linked: 35

  1. X.-J. Tong, M. Zhang, Z. Wang, and J. Ma, ''A joint color image encryption and compression scheme based on hyper-chaotic system,'' Nonlinear Dyn., vol. 84, no. 4, pp. 2333-2356, 2016.
  2. J. Tang, A. Liu, M. Zhao, and T. Wang, ''An aggregate signature based trust routing for data gathering in sensor networks,'' Secur. Commun. Netw., vol. 2018, Jan. 2018, Art. no. 6328504, doi: 10.1155/2018/6328504. · DOI
  3. X. Liu, N. Xiong, N. Zhang, A. Liu, H. Shen, and C. Huang, ''A trust with abstract information verified routing scheme for cyber-physical network,'' IEEE Access, vol. 6, pp. 3882-3898, 2018, doi: 10.1109/ACCESS.2018.2799681. · DOI
  4. Y. Zhang, D. Xiao, Y. Shu, and J. Li, ''A novel image encryption scheme based on a linear hyperbolic chaotic system of partial differential equa- tions,'' Signal Process., Image Commun., vol. 28, no. 3, pp. 292-300, 2013.
  5. L. Wang, H. Song, and P. Liu, ''A novel hybrid color image encryption algorithm using two complex chaotic systems,'' Opt. Lasers Eng., vol. 77, pp. 118-125, Feb. 2016.
  6. Y. Liu, X.-J. Tong, and J. Ma, ''Image encryption algorithm based on hyper- chaotic system and dynamic S-box,'' Multimedia Tools Appl., vol. 75, no. 13, pp. 7739-7759, 2015.
  7. L. Xu, Z. Li, J. Li, and W. Hua, ''A novel bit-level image encryption algorithm based on chaotic maps,'' Opt. Lasers Eng., vol. 78, pp. 17-25, Mar. 2016.
  8. X. Wang and H.-L. Zhang, ''A novel image encryption algorithm based on genetic recombination and hyper-chaotic systems,'' Nonlinear Dyn., vol. 83, nos. 1-2, pp. 333-346, 2016.
  9. T. Xiang, J. Hu, and J. Sun, ''Outsourcing chaotic selective image encryp- tion to the cloud with steganography,'' Digit. Signal Process., vol. 43, pp. 28-37, Aug. 2015.
  10. Z. Hua and Y. Zhou, ''Image encryption using 2D logistic-adjusted-sine map,'' Inf. Sci., vol. 339, pp. 237-253, Apr. 2016.
  11. Z. Hua, Y. Zhou, C.-M. Pun, and C. L. P. Chen, ''2D Sine Logistic modulation map for image encryption,'' Inf. Sci., vol. 297, pp. 80-94, Mar. 2015.
  12. X. Wang, C. Liu, and H. Zhang, ''An effective and fast image encryption algorithm based on Chaos and interweaving of ranks,'' Nonlinear Dyn., vol. 84, no. 3, pp. 1595-1607, 2016.
  13. X. Chai, ''An image encryption algorithm based on bit level Brownian motion and new chaotic systems,'' Multimedia Tools Appl., vol. 76, no. 1, pp. 1159-1175, 2017.
  14. X. Huang, ''Image encryption algorithm using chaotic Chebyshev genera- tor,'' Nonlinear Dyn., vol. 67, no. 4, pp. 2411-2417, 2012.
  15. X. Wang, C. Liu, and D. Xu, ''Image encryption scheme using chaos and simulated annealing algorithm,'' Nonlinear Dyn., vol. 84, no. 3, pp. 1417-1429, 2016.
  16. G. Ye, ''Image scrambling encryption algorithm of pixel bit based on chaos map,'' Pattern Recognit. Lett., vol. 31, no. 5, pp. 347-354, 2010.
  17. C. Zhu, ''A novel image encryption scheme based on improved hyper- chaotic sequences,'' Opt. Commun., vol. 285, no. 1, pp. 29-37, 2012.
  18. H. Liu and X. Wang, ''Color image encryption based on one-time keys and robust chaotic maps,'' Comput. Math. Appl., vol. 59, no. 10, pp. 3320-3327, 2010.
  19. H. Liu and X. Wang, ''Color image encryption using spatial bit-level permutation and high-dimension chaotic system,'' Opt. Commun., vol. 284, nos. 16-17, pp. 3895-3903, 2011.
  20. H. Liu, X. Wang, and A. Kadir, ''Image encryption using DNA com- plementary rule and chaotic maps,'' Appl. Soft. Comput., vol. 12, no. 5, pp. 1457-1466, 2012.
  21. X.-Y. Wang, L. Yang, R. Liu, and A. Kadir, ''A chaotic image encryption algorithm based on perceptron model,'' Nonlinear Dyn., vol. 62, no. 3, pp. 615-621, 2010.
  22. Y. Zhang and D. Xiao, ''An image encryption scheme based on rotation matrix bit-level permutation and block diffusion,'' Commun. Nonlinear Sci. Numer. Simul., vol. 19, no. 1, pp. 74-82, 2014.
  23. Y. Zhang and D. Xiao, ''Double optical image encryption using discrete Chirikov standard map and chaos-based fractional random transform,'' Opt. Lasers Eng., vol. 51, no. 4, pp. 472-480, Apr. 2013.
  24. C. Li, G. Luo, K. Qin, and C. Li, ''An image encryption scheme based on chaotic tent map,'' Nonlinear Dyn., vol. 87, no. 1, pp. 127-133, 2017.
  25. X. Wu, B. Zhu, Y. Hu, and Y. Ran, ''A novel color image encryption scheme using rectangular transform-enhanced chaotic tent maps,'' IEEE Access, vol. 5, pp. 6429-6436, 2017.
  26. C. Li, D. Lin, and J. Lü, ''Cryptanalyzing an image-scrambling encryption algorithm of pixel bits,'' IEEE Multimedia, vol. 24, no. 3, pp. 64-71, Mar. 2017.
  27. C. Li, Y. Liu, T. Xie, and M. Z. Q. Chen, ''Breaking a novel image encryp- tion scheme based on improved hyperchaotic sequences,'' Nonlinear Dyn., vol. 73, no. 3, pp. 2083-2089, 2013.
  28. X. Wang, D. Luan, and X. Bao, ''Cryptanalysis of an image encryption algorithm using Chebyshev generator,'' Digit. Signal Process., vol. 25, pp. 244-247, Feb. 2014.
  29. Y.-Q. Zhang and X.-Y. Wang, ''A new image encryption algorithm based on non-adjacent coupled map lattices,'' Appl. Soft. Comput., vol. 26, pp. 10-20, Jan. 2015.
  30. X. Wang, L. Teng, and X. Qin, ''A novel colour image encryption algorithm based on chaos,'' Signal Process., vol. 92, no. 4, pp. 1101-1108, Apr. 2012.
  31. Y.-Q. Zhang and X.-Y. Wang, ''A symmetric image encryption algorithm based on mixed linear-nonlinear coupled map lattice,'' Inf. Sci., vol. 273, pp. 329-351, Jul. 2014.
  32. P. Zhen, G. Zhao, L. Min, and X. Jin, ''Chaos-based image encryption scheme combining DNA coding and entropy,'' Multimedia Tools Appl., vol. 75, no. 11, pp. 6303-6319, 2016.
  33. X.-Y. Wang, Y.-Q. Zhang, and X.-M. Bao, ''A novel chaotic image encryp- tion scheme using DNA sequence operations,'' Opt. Lasers Eng., vol. 73, pp. 53-61, Oct. 2015.
  34. X. Wang, L. Liu, and Y. Zhang, ''A novel chaotic block image encryption algorithm based on dynamic random growth technique,'' Opt. Lasers Eng., vol. 66, pp. 10-18, Mar. 2015.
  35. Y. Wu, J. P. Noonan, and S. Agaian, ''NPCR and UACI randomness tests for image encryption,'' Cyber J., Multidisciplinary J. Sci. Technol., J. Select. Areas Telecommu., vol. 1, pp. 31-38, Apr. 2011.

Cited by

Sorted by citations

Authors
Zhu, C., & Sun, K.
Affiliations
Central South University (CN)
ORCID
Venue
IEEE Access
Publisher
Institute of Electrical and Electronics Engineers (IEEE)
Published
2018
Volume
6
Pages
18759-18770
ISSN
2169-3536 (ISSN-L)
DOI
10.1109/access.2018.2817600
OpenAlex
W2794004503
Cited by
171
References
3
Citations by year
2026: 3 · 2025: 7 · 2024: 18 · 2023: 18 · 2022: 23 · 2021: 26 · 2020: 32 · 2019: 31 · 2018: 13
FWCI
12.76
Type
journal article
Language
en
Open access
Licence
ieeexplore.ieee.org/Xplorehelp/downloads/license-information/OAPA.html (vor)
Locations
  • IEEE Access (publishedVersion)
  • DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion, cc-by-sa)
Funders
  • Open Project of Guangxi Colleges and Universities Key Laboratory of Complex System Optimization and Big Data Processing (2016CSOBDP0103)
  • National Natural Science Foundation of China (61472451)
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
color image encryption, cryptanalysis, chosen-plaintext attack, key recovery, chaos-based cryptography

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