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Color image encryption based on novel kolam scrambling and modified 2D logistic cascade map (2D LCM)

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A Correction to this article was published on 08 September 2023

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Abstract

The proposed work combines existing one-dimensional chaos maps to create a new two-dimensional logistic cascade map (2D LCM) to produce better chaotic behavior. The system integrates novel kolam scrambling and a modified 2D LCM map to increase the security of the encryption process. The color image components of plaintext are permutated using the kolam scrambling method to remove adjacent pixel correlation during the confusion. Later, the modified 2D LCM map was used for key stream generation and encryption. Key space, entropy, correlation, NPCR, UACI and PSNR values for a single round of iteration are 2449, 7.99, − 0.0003, 33.4, 99.6, and 7.6451 dB, respectively. Furthermore, the scheme time complexity (TC) is O(6 × M × N), with a total computation time of 1.54 s. Moreover, the resistance of the suggested method to key space, statistical attack, differential attack, and computation time is compared to that of existing standard chaos-based encryption algorithms, and it is determined to have good resistance and be appropriate for secure data transfer.

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References

  1. Wang X, Du X (2022) Pixel-level and bit-level image encryption method based on Logistic-Chebyshev dynamic coupled map lattices. Chaos, Solitons Fractals 155:111629. https://doi.org/10.1016/j.chaos.2021.111629

    Article  MathSciNet  Google Scholar 

  2. Wang Q, Zhang X, Zhao X (2022) Image encryption algorithm based on improved Zigzag transformation and quaternary DNA coding. J Inf Secur Appl 70:103340. https://doi.org/10.1016/j.jisa.2022.103340

    Article  Google Scholar 

  3. Wang X, Liu C, Jiang D (2022) A novel visually meaningful image encryption algorithm based on parallel compressive sensing and adaptive embedding. Expert Syst Appl 209:118426. https://doi.org/10.1016/j.eswa.2022.118426

    Article  Google Scholar 

  4. Wang X, Chen X, Feng S, Liu C (2022) Color image encryption scheme combining cross-plane Zigzag scrambling and pseudo-random combination RGB component diffusion. Optik 269:169933. https://doi.org/10.1016/j.ijleo.2022.169933

    Article  Google Scholar 

  5. Xuejing K, Zihui G (2020) A new color image encryption scheme based on DNA encoding and spatiotemporal chaotic system. Signal Process Image Commun 80:115670. https://doi.org/10.1016/j.image.2019.115670

    Article  Google Scholar 

  6. Herbadji D, Belmeguenai A, Derouiche N, Liu H (2020) Colour image encryption scheme based on enhanced quadratic chaotic map. IET Image Proc 14(1):40–52. https://doi.org/10.1049/iet-ipr.2019.0123

    Article  Google Scholar 

  7. Teng L, Wang X, Yang F, Xian Y (2021) Color image encryption based on cross 2D hyperchaotic map using combined cycle shift scrambling and selecting diffusion. Nonlinear Dyn 105(2):1859–1876. https://doi.org/10.1007/s11071-021-06663-1

    Article  Google Scholar 

  8. Zhang Q, Han J (2021) A novel color image encryption algorithm based on image hashing, 6D hyperchaotic and DNA coding. Multime Tools Appl 80(9):13841–13864. https://doi.org/10.1007/s11042-020-10437-z

    Article  Google Scholar 

  9. Ma K, Teng L, Wang X, Meng J (2021) Color image encryption scheme based on the combination of the fisher-yates scrambling algorithm and chaos theory. Multim Tools Appl. https://doi.org/10.1007/s11042-021-10847-7

    Article  Google Scholar 

  10. Zhang R, Yu L, Jiang D, Ding W, Song J, He K, Ding Q (2021) A novel plaintext-related color image encryption scheme based on cellular neural network and chen’s chaotic system. Symmetry 13(3):393. https://doi.org/10.3390/sym13030393

    Article  Google Scholar 

  11. Li G, Xu X, Zhong H (2022) A image encryption algorithm based on coexisting multi-attractors in a spherical chaotic system. Multim Tools Appl 81:32005–32031. https://doi.org/10.1007/s11042-022-12853-9

    Article  Google Scholar 

  12. Wang S, Peng Q, Du B (2022) Chaotic color image encryption based on 4D chaotic maps and DNA sequence. Opt Laser Technol 148:107753. https://doi.org/10.1016/j.optlastec.2021.107753

    Article  Google Scholar 

  13. Liu H, Wang X (2011) Color image encryption using spatial bit-level permutation and high-dimension chaotic system. Opt Commun 284(16–17):3895–3903. https://doi.org/10.1016/j.optcom.2011.04.001

    Article  Google Scholar 

  14. Amdouni R, Gafsi M, Guesmi R, Hajjaji MA, Mtibaa A, Bourennane EB (2022) High-performance hardware architecture of a robust block-cipher algorithm based on different chaotic maps and DNA sequence encoding. Integration 87:346–363. https://doi.org/10.1016/j.vlsi.2022.08.002

    Article  Google Scholar 

  15. Liu Z, Wu C, Wang J, Hu Y (2019) A color image encryption using dynamic DNA and 4-D memristive hyper-chaos. IEEE Access 7:78367–78378. https://doi.org/10.1109/access.2019.2922376

    Article  Google Scholar 

  16. Wang X, Su Y, Xu M, Zhang H, Zhang Y (2021) A new image encryption algorithm based on Latin square matrix. Nonlinear Dyn 107(1):1277–1293. https://doi.org/10.1007/s11071-021-07017-7

    Article  Google Scholar 

  17. Cao C, Sun K, Liu W (2018) A novel bit-level image encryption algorithm based on 2D-LICM hyperchaotic map. Signal Process 143:122–133. https://doi.org/10.1016/j.sigpro.2017.08.020

    Article  Google Scholar 

  18. Hua Z, Zhou Y (2016) Image encryption using 2D Logistic-adjusted-Sine map. Inf Sci 339:237–253. https://doi.org/10.1016/j.ins.2016.01.017

    Article  Google Scholar 

  19. Liu L, Wang D, Lei Y (2020) An image encryption scheme based on hyper chaotic system and DNA with fixed secret keys. IEEE Access 8:46400–46416. https://doi.org/10.1109/access.2020.2978492

    Article  Google Scholar 

  20. Su Y, Wang X (2021) Characteristic analysis of new four-dimensional autonomous power system and its application in color image encryption. Multimed Syst 28(2):553–571. https://doi.org/10.1007/s00530-021-00861-y

    Article  Google Scholar 

  21. Hua Z, Yi S, Zhou Y (2018) Medical image encryption using high-speed scrambling and pixel adaptive diffusion. Signal Process 144:134–144. https://doi.org/10.1016/j.sigpro.2017.10.004

    Article  Google Scholar 

  22. Ma S, Zhang Y, Yang Z, Hu J, Lei X (2019) A new plaintext-related image encryption scheme based on chaotic sequence. IEEE Access 7:30344–30360. https://doi.org/10.1109/access.2019.2901302

    Article  Google Scholar 

  23. El-Khamy SE, Korany NO, Mohamed AG (2020) A new fuzzy-DNA image encryption and steganography technique. IEEE Access 8:148935–148951. https://doi.org/10.1109/access.2020.3015687

    Article  Google Scholar 

  24. Feng W, He Y, Li H, Li C (2019) A plain-image-related chaotic image encryption algorithm based on DNA sequence operation and discrete logarithm. IEEE Access 7:181589–181609. https://doi.org/10.1109/access.2019.2959137

    Article  Google Scholar 

  25. Liu Q, Liu L (2020) Color image encryption algorithm based on DNA coding and double chaos system. IEEE Access 8:83596–83610. https://doi.org/10.1109/access.2020.2991420

    Article  Google Scholar 

  26. Feng W, He Y, Li H, Li C (2019) Cryptanalysis and improvement of the image encryption scheme based on 2D logistic-adjusted-sine map. IEEE Access 7:12584–12597. https://doi.org/10.1109/access.2019.2893760

    Article  Google Scholar 

  27. Wang X, Feng L, Zhao H (2019) Fast image encryption algorithm based on parallel computing system. Inf Sci 486:340–358. https://doi.org/10.1016/j.ins.2019.02.049

    Article  Google Scholar 

  28. Sha Y, Cao Y, Yan H, Gao X, Mou J (2021) An image encryption scheme based on IAVL permutation scheme and DNA operations. IEEE Access 9:96321–96336. https://doi.org/10.1109/access.2021.3094563

    Article  Google Scholar 

  29. Yan X, Wang X, Xian Y (2022) Synchronously scrambled diffuse image encryption method based on a new cosine chaotic map. Chin Phys B 31(8):080504. https://doi.org/10.1088/1674-1056/ac5a43

    Article  Google Scholar 

  30. Wang X, Liu P (2021) A new full chaos coupled mapping lattice and its application in privacy image encryption. IEEE Trans Circuits Syst I Regul Pap 69(3):1291–1301. https://doi.org/10.1109/TCSI.2021.3133318

    Article  Google Scholar 

  31. Yan X, Wang X, Xian Y (2020) Chaotic image encryption algorithm based on fractional order scrambling wavelet transform and 3D cyclic displacement operation. IEEE Access 8:208718–208736. https://doi.org/10.1109/ACCESS.2020.3038183

    Article  Google Scholar 

  32. Yan X, Wang X, Xian Y (2021) Chaotic image encryption algorithm based on arithmetic sequence scrambling model and DNA encoding operation. Multimed Tools Appl 80:10949–10983. https://doi.org/10.1007/s11042-020-10218-8

    Article  Google Scholar 

  33. Basha SM, Mathivanan P, Ganesh AB (2022) Bit level color image encryption using Logistic-Sine-Tent-Chebyshev (LSTC) map. Optik 259:168956. https://doi.org/10.1016/j.ijleo.2022.168956

    Article  Google Scholar 

  34. Mathivanan P, Maran P (2023) A color image encryption scheme using customized map. Imaging Sci J 71(4):343–361. https://doi.org/10.1080/13682199.2023.2182547

    Article  Google Scholar 

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Author, PM and PM designed and performed the experiments and implementation of the research, to the analysis of the results and to the writing of the manuscript.

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Correspondence to P. Mathivanan.

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Author, P. Mathivanan declares that he has no conflict of interest. Author, P. Maran declares that he has no conflict of interest.

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Mathivanan, P., Maran, P. Color image encryption based on novel kolam scrambling and modified 2D logistic cascade map (2D LCM). J Supercomput 80, 2164–2195 (2024). https://doi.org/10.1007/s11227-023-05539-y

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