Cited by 131Chaos-based Image/Signal EncryptionComputer Science and EngineeringCryptographic Implementations and Security

A Secure and Fast Image Encryption Scheme Based on Double Chaotic S-Boxes

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Zhu, Shenli, Wang, Guojun, Zhu, Congxu·2019·Entropy

Abstract

In order to improve the security and efficiency of image encryption systems comprehensively, a novel chaotic S-box based image encryption scheme is proposed. Firstly, a new compound chaotic system, Sine-Tent map, is proposed to widen the chaotic range and improve the chaotic performance of 1D discrete chaotic maps. As a result, the new compound chaotic system is more suitable for cryptosystem. Secondly, an efficient and simple method for generating S-boxes is proposed, which can greatly improve the efficiency of S-box production. Thirdly, a novel double S-box based image encryption algorithm is proposed. By introducing equivalent key sequences {r, t} related with image ciphertext, the proposed cryptosystem can resist the four classical types of attacks, which is an advantage over other S-box based encryption schemes. Furthermore, it enhanced the resistance of the system to differential analysis attack by two rounds of forward and backward confusion-diffusion operation with double S-boxes. The simulation results and security analysis verify the effectiveness of the proposed scheme. The new scheme has obvious efficiency advantages, which means that it has better application potential in real-time image encryption.

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  • The execution time of SCEC is 0.2 s, compared to 1.708 s, 4.750 s, 4.828 s, and 3.253 s for Refs [32], [33], [34], and [35], respectively.

    “Ref. [32] Ref. [33] Ref. [34] Ref. [35] Time (s) 0.2 1.708 4.750 4.828 3.253”

    From Cryptosystem Based on the Elliptic Curve With a High Degree of Resistance to Damage on the Encrypted Images (2020) · cites this paper as [33]

    Section 5.5 (Analysis of Speed; page unavailable) compares this paper’s algorithm with other S-box encryption algorithms and says its execution time is the smallest. The passages available from our copy do not give the cited 1.708-second figure, so they cannot verify the numerical comparison. (LLM, conf=0.78)

    Experimental — accuracy not yet measured

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References 58 · Cited by 131

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  1. [1]Wang J. Ding Q. Dynamic rounds chaotic block cipher based on keyword abstract extraction Entropy 2018 20 693 10.3390/e20090693 PMC7513219 33265782 · DOI
  2. [2]Abdallah E.E. Ben Hamza A. Bhattacharya P. Mpeg video watermarking using tensor singular value decomposition Lecture Notes in Computer Science, Proceedings of the Image Analysis and Recognition (ICIAR 2007), Montreal, QC, Canada, 5–7 July 2017 Kamel M. Campilho A. Springer Berlin/Heidelberg, Germany 2007 Volume 4633 772 783
  3. [3]Abdallah E.E. Ben Hamza A. Bhattacharya P. Video watermarking using wavelet transform and tensor algebra Signal Image Video Process. 2009 4 233 245 10.1007/s11760-009-0114-7 · DOI
  4. [5]Zhang S. Wang G. Bhuiyan M.Z.A. Liu Q. A dual privacy preserving scheme in continuous location-based services IEEE Internet Things J. 2018 5 4191 4200 10.1109/JIOT.2018.2842470 · DOI · Paper page
  5. [6]Wang X. Pham V.-T. Jafari S. Volos C. Munoz-Pacheco J.M. Tlelo-Cuautle E. A new chaotic system with stable equilibrium: From theoretical model to circuit implementation IEEE Access 2017 5 8851 8858 10.1109/ACCESS.2017.2693301 · DOI
  6. [7]Zhou Y. Bao L. Chen C.L.P. A new 1D chaotic system for image encryption Signal Process. 2014 97 172 182 10.1016/j.sigpro.2013.10.034 · DOI · Paper page
  7. [8]Chen E. Min L. Chen G. Discrete chaotic systems with one-line equilibria and their application to image encryption Int. J. Bifurc. Chaos 2017 27 1750046 10.1142/S0218127417500468 · DOI
  8. [9]Zhu S. Zhu C. Cui H. Wang W. A class of quadratic polynomial chaotic maps and its application in cryptography IEEE Access 2019 7 34141 34152 10.1109/ACCESS.2019.2902873 · DOI
  9. [10]Sahari M.L. Boukemara I. A pseudo-random numbers generator based on a novel 3d chaotic map with an application to color image encryption Nonlinear Dyn. 2018 94 723 744 10.1007/s11071-018-4390-z · DOI
  10. [11]Murillo-Escobar M.A. Cruz-Hernandez C. Cardoza-Avendano L. Mendez-Ramirez R. A novel pseudorandom number generator based on pseudorandomly enhanced logistic map Nonlinear Dyn. 2017 87 407 425 10.1007/s11071-016-3051-3 · DOI
  11. [12]Islam F.u. Liu G. Designing s-box based on 4D-4wing hyperchaotic system 3D Res. 2017 8 9 10.1007/s13319-017-0119-x · DOI
  12. [13]Alvarez G. Li S. Some basic cryptographic requirements for chaos-based cryptosystems Int. J. Bifurc. Chaos 2006 16 2129 2151 10.1142/S0218127406015970 · DOI · Paper page
  13. [14]Li C. Lin D. Feng B. Lu J. Hao F. Cryptanalysis of a chaotic image encryption algorithm based on information entropy IEEE Access 2018 6 75834 75842 10.1109/ACCESS.2018.2883690 · DOI · Paper page
  14. [15]Zhu C. Wang G. Sun K. Improved cryptanalysis and enhancements of an image encryption scheme using combined 1d chaotic maps Entropy 2018 20 843 10.3390/e20110843 PMC7512405 33266567 · DOI · Paper page
  15. [16]Zhu C. Sun K. Cryptanalyzing and improving a novel color image encryption algorithm using rt-enhanced chaotic tent maps IEEE Access 2018 6 18759 18770 10.1109/ACCESS.2018.2817600 · DOI · Paper page
  16. [17]Fridrich J. Symmetric ciphers based on two-dimensional chaotic maps Int. J. Bifurc. Chaos 1998 8 1259 1284 10.1142/S021812749800098X · DOI · Paper page
  17. [18]Zhang X. Fan X. Wang J. Zhao Z. A chaos-based image encryption scheme using 2D rectangular transform and dependent substitution Multimed. Tools Appl. 2014 75 1745 1763 10.1007/s11042-014-2372-9 · DOI
  18. [19]Zhang Y. Xiao D. Double optical image encryption using discrete chirikov standard map and chaos-based fractional random transform Opt. Lasers Eng. 2013 51 472 480 10.1016/j.optlaseng.2012.11.001 · DOI
  19. [20]Gan Z.-h. Chai X.-l. Han D.-j. Chen Y.-r. A chaotic image encryption algorithm based on 3-d bit-plane permutation Neural Comput. Appl. 2018 2018 1 20 10.1007/s00521-018-3541-y · DOI · Paper page
  20. [21]Hu G. Xiao D. Zhang Y. Xiang T. An efficient chaotic image cipher with dynamic lookup table driven bit-level permutation strategy Nonlinear Dyn. 2016 87 1359 1375 10.1007/s11071-016-3119-0 · DOI
  21. [22]Ye G. Zhao H. Chai H. Chaotic image encryption algorithm using wave-line permutation and block diffusion Nonlinear Dyn. 2016 83 2067 2077 10.1007/s11071-015-2465-7 · DOI
  22. [23]Abd-El-Hafiz S.K. AbdElHaleem S.H. Radwan A.G. Novel permutation measures for image encryption algorithms Opt. Lasers Eng. 2016 85 72 83 10.1016/j.optlaseng.2016.04.023 · DOI
  23. [24]Li Y. Wang C. Chen H. A hyper-chaos-based image encryption algorithm using pixel-level permutation and bit-level permutation Opt. Lasers Eng. 2017 90 238 246 10.1016/j.optlaseng.2016.10.020 · DOI
  24. [25]Zhang Y. Xiao D. Shu Y. Li J. A novel image encryption scheme based on a linear hyperbolic chaotic system of partial differential equations Signal Process. Image Commun. 2013 28 292 300 10.1016/j.image.2012.12.009 · DOI
  25. [26]Wang X. Liu C. Zhang H. An effective and fast image encryption algorithm based on chaos and interweaving of ranks Nonlinear Dyn. 2016 84 1595 1607 10.1007/s11071-015-2590-3 · DOI
  26. [27]Xu L. Gou X. Li Z. Li J. A novel chaotic image encryption algorithm using block scrambling and dynamic index based diffusion Opt. Lasers Eng. 2017 91 41 52 10.1016/j.optlaseng.2016.10.012 · DOI
  27. [28]Hua Z. Yi S. Zhou Y. Medical image encryption using high-speed scrambling and pixel adaptive diffusion Signal Process. 2018 144 134 144 10.1016/j.sigpro.2017.10.004 · DOI · Paper page
  28. [29]Huang H. He X. Xiang Y. Wen W. Zhang Y. A compression-diffusion-permutation strategy for securing image Signal Process. 2018 150 183 190 10.1016/j.sigpro.2018.04.014 · DOI · Paper page
  29. [30]Cao C. Sun K. Liu W. A novel bit-level image encryption algorithm based on 2D-LICM hyperchaotic map Signal Process. 2018 143 122 133 10.1016/j.sigpro.2017.08.020 · DOI
  30. [31]Chai X. An image encryption algorithm based on bit level brownian motion and new chaotic systems Multimed. Tools Appl. 2017 76 1159 1175 10.1007/s11042-015-3088-1 · DOI
  31. [32]Hua Z. Jin F. Xu B. Huang H. 2D Logistic-Sine-coupling map for image encryption Signal Process. 2018 149 148 161 10.1016/j.sigpro.2018.03.010 · DOI
  32. [33]Hua Z. Zhou Y. Image encryption using 2D Logistic-adjusted-Sine map Inf. Sci. 2016 339 237 253 10.1016/j.ins.2016.01.017 · DOI
  33. [34]Kaur M. Kumar V. Efficient image encryption method based on improved Lorenz chaotic system Electron. Lett. 2018 54 562 564 10.1049/el.2017.4426 · DOI
  34. [35]Liu J. Yang D. Zhou H. Chen S. A digital image encryption algorithm based on bit-planes and an improved Logistic map Multimed. Tools Appl. 2018 77 10217 10233 10.1007/s11042-017-5406-2 · DOI
  35. [36]Zhu C. A novel image encryption scheme based on improved hyperchaotic sequences Opt. Commun. 2012 285 29 37 10.1016/j.optcom.2011.08.079 · DOI · Paper page
  36. [37]Zhang Y. The image encryption algorithm based on chaos and DNA computing Multimed. Tools Appl. 2018 77 21589 21615 10.1007/s11042-017-5585-x · DOI
  37. [38]Farwa S. Shahy T. Muhammad N. Bibiz N. Jahangir A. Arshad S. An image encryption technique based on chaotic S-box and Arnold transform Int. J. Adv. Comput. Sci. Appl. 2017 8 360 364 10.14569/IJACSA.2017.080647 · DOI
  38. [41]Zhu S. Zhu C. Wang W. A new image encryption algorithm based on chaos and secure hash SHA-256 Entropy 2018 20 716 10.3390/e20090716 PMC7513242 33265805 · DOI
  39. [42]Zhu S. Zhu C. Wang W. A novel image compression-encryption scheme based on chaos and compression sensing IEEE Access 2018 6 67095 67107 10.1109/ACCESS.2018.2874336 · DOI
  40. [43]Zhu S. Zhu C. Image encryption algorithm with an avalanche effect based on a six-dimensional discrete chaotic system Multimed. Tools Appl. 2018 77 29119 29142 10.1007/s11042-018-6078-2 · DOI
  41. [44]Sun S. Guo Y. Wu R. A novel image encryption scheme based on 7D hyperchaotic system and row-column simultaneous swapping IEEE Access 2019 7 28539 28547 10.1109/ACCESS.2019.2901870 · DOI
  42. [45]Zhang S. Wang G. Liu Q. Abawajy J.H. A trajectory privacy-preserving scheme based on query exchange in mobile social networks Soft Comput. 2018 22 6121 6133 10.1007/s00500-017-2676-6 · DOI
  43. [46]Bhuiyan M.Z.A. Wang G. Wu J. Cao J. Liu X. Wang T. Dependable structural health monitoring using wireless sensor networks IEEE Trans. Dependable Secur. Comput. 2017 14 363 376 10.1109/TDSC.2015.2469655 · DOI
  44. [47]Zhang Q. Liu Q. Wang G. PRMS: A personalized mobile search over encrypted outsourced data IEEE Access 2018 6 31541 31552 10.1109/ACCESS.2018.2845468 · DOI
  45. [50]He S.-B. Sun K.-H. Zhu C.-X. Complexity analyses of multi-wing chaotic systems Chin. Phys. B 2013 22 050506 10.1088/1674-1056/22/5/050506 · DOI
  46. [51]Khan M. A novel image encryption scheme based on multiple chaotic S-boxes Nonlinear Dyn. 2015 82 527 533 10.1007/s11071-015-2173-3 · DOI
  47. [52]Wang X. Wang Q. A novel image encryption algorithm based on dynamic S-boxes constructed by chaos Nonlinear Dyn. 2013 75 567 576 10.1007/s11071-013-1086-2 · DOI
  48. [53]Murillo-Escobar M.A. Cruz-Hernández C. Abundiz-Pérez F. López-Gutiérrez R.M. Acosta Del Campo O.R. A rgb image encryption algorithm based on total plain image characteristics and chaos Signal Process. 2015 109 119 131 10.1016/j.sigpro.2014.10.033 · DOI
  49. [54]Zhang Y. Tang Y. A plaintext-related image encryption algorithm based on chaos Multimed. Tools Appl. 2017 77 6647 6669 10.1007/s11042-017-4577-1 · DOI
  50. [56]Belazi A. El-Latif A.A.A. A simple yet efficient S-box method based on chaotic Sine map Optik 2017 130 1438 1444 10.1016/j.ijleo.2016.11.152 · DOI
  51. [57]Çavuşoğlu Ü. Kaçar S. Pehlivan I. Zengin A. Secure image encryption algorithm design using a novel chaos based S-box Chaos Solitons Fractals 2017 95 92 101 10.1016/j.chaos.2016.12.018 · DOI · Paper page
  52. [58]Zhu C.X. Wang G.J. Sun K.H. Cryptanalysis and improvement on an image encryption algorithm design using a novel chaos based S-box Symmetry 2018 10 399 10.3390/sym10090399 · DOI · Paper page

Authors
Zhu, S., Wang, G., & Zhu, C.
Affiliations
  • University of South China (CN)
  • Guangzhou University (CN)
  • Central South University (CN)
Corresponding author
Zhu, Congxu
Venue
Entropy
Publisher
MDPI AG
Published
2019-08-13
Volume
21
Issue
8
Pages
790
ISSN
1099-4300 (ISSN-L)
OpenAlex
W2967953071
Cited by
131
References
58
Citations by year
2026: 6 · 2025: 8 · 2024: 16 · 2023: 32 · 2022: 19 · 2021: 20 · 2020: 25 · 2019: 5
FWCI
7.71
Type
journal article
Language
en
Open access
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 (61632009)
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, S-box generation, confusion and diffusion, differential attack resistance, real-time image encryption, key sequences

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