A Novel Image Encryption Technique with Four Stage Bit-Interspersing and A 4D-Hyperchaotic System

Main Article Content

Subhashish Pal
Ansuman Mahanty
Arghya Pathak
Jayashree Karmakar
Hrishikesh Mondal
Mrinal Mandal

Abstract

This paper introduces a new technique of color image encryption that includes four stages of bit interspersing and a 4D-hyperchaotic system. At first, the pixel values for different RGB channels of a plane color image were represented by an 8-bit binary number. The bit interspersing operation has been implemented on the bit stream generated by considering a particular block size for each color channel and reshaping it to the original size. The cipher image was then constructed by performing a bit XOR operation on the resultant image and the chaotic sequences generated by a 4D hyperchaotic system. The initial state variables of the said chaotic system have been developed from a 32-character secret key. This operation has been repeated three times, considering different block sizes of the newly generated cipher image after each stage. The main strengths of the proposed algorithm are the bit interspersing and image-dependent chaotic key base pixel substitution by bitwise XOR operation. A set of standard security tests are conducted to test the reliability of the suggested encryption method. Comparing the crypto-parameters to other recent works, we find that the proposed algorithm is better than the other methods.

Article Details

How to Cite
[1]
S. Pal, A. . Mahanty, A. Pathak, J. Karmakar, H. . Mondal, and M. Mandal, “ A Novel Image Encryption Technique with Four Stage Bit-Interspersing and A 4D-Hyperchaotic System”, ECTI-CIT Transactions, vol. 17, no. 1, pp. 105–116, Mar. 2023.
Section
Research Article

References

Al-Shabi, M.A., “A survey on symmetric and asymmetric cryptography algorithms in information security.” International Journal of Scientific and Research Publications (IJSRP), vol. 9(3), pp.576-589. 2019.

L. Kocarev, "Chaos-based cryptography: a brief overview." in IEEE Circuits and Systems Magazine, vol. 1(3), pp. 6-21, 2001, doi: 10.1109/7384.963463.

Fridrich, Jiri, “Symmetric ciphers based on two-dimensional chaotic maps.” International Journal of Bifurcation and chaos, vol. 8(06), pp. 1259-1284, 1998.

Kocarev, L. and Lian, S. eds., “Chaos-based cryptography: Theory, algorithms and applications” Vol. 354, Springer Science & Business Media, 2011.

Li-Hong, L., Feng-Ming, B. and Xue-Hui, H., “New image encryption algorithm based on logistic map and hyper-chaos.” In 2013 International Conference on Computational and Information Sciences, pp. 713-716. IEEE, 2013.

Xu, J., Li, P., Yang, F. and Yan, H., “High intensity image encryption scheme based on quantum logistic chaotic map and complex hyperchaotic system.” IEEE Access, vol. 7, pp.167904-167918, 2019.

Liu, Y., Tong, X. and Ma, J., “Image encryption algorithm based on hyper-chaotic system and dynamic S-box.” Multimedia Tools and Applications, vol. 75(13), pp.7739-7759, 2016.

Gupta, Mangal Deep, and Rajeev K. Chauhan. "Secure image encryption scheme using 4D-hyperchaotic systems based reconfigurable pseudo-random number generator and S-box." Integration vol. 81, pp.137-159, 2021.

Wu, X., Wang, D., Kurths, J. and Kan, H., “A novel lossless colour image encryption scheme using 2D DWT and 6D hyperchaotic system.” Information Sciences, vol. 349, pp. 137-153, 2016.

Tresor, L.O. and Sumbwanyambe, M., “A selective image encryption scheme based on 2d DWT, Henon map and 4d Qi hyper-chaos.” IEEE Access, vol. 7, pp.103463-103472, 2019.

Liu, Y. and Zhang, J., “A multidimensional chaotic image encryption algorithm based on DNA coding.” Multimedia Tools and Applications, vol. 79(29), pp.21579-21601, 2020.

Kar, M., Kumar, A., Nandi, D. and Mandal, M.K., “Image encryption using DNA coding and hyperchaotic system.” IETE Technical Review, vol. 37(1), pp.12-23, 2020.

Ouyang, Xue, Yuling Luo, Junxiu Liu, Lvchen Cao, and Yunqi Liu. "A color image encryption method based on memristive hyperchaotic system and DNA encryption." International Journal of Modern Physics B, vol. 34(04), p.2050014, 2020.

Jasra, Bhat, and Ayaz Hassan Moon. "Color image encryption and authentication using dynamic DNA encoding and hyper chaotic system." Expert Systems with Applications, vol. 206.p.117861, 2022.

Nazir, H., Bajwa, I.S., Abdullah, S., Kazmi, R. and Samiullah, M., “A Colour Image Encryption Scheme Combining Hyperchaos and Genetic Codes.” IEEE Access, vol. 10, pp.14480-14495, 2022.

Karmakar, J., Debashis N., and Mandal, M.K., “A novel hyper-chaotic image encryption with sparse-representation based compression.” Multimedia Tools and Applications, vol. 79(37), pp. 28277-28300, 2020.

Chai, X., Zhi, X., Gan, Z., Zhang, Y., Chen, Y. and Fu, J., “Combining improved genetic algorithm and matrix semi-tensor product (STP) in colour image encryption.” Signal Processing, vol.183, p.108041, 2021.

Xuejing, Kang, and Guo Zihui. "A new colour image encryption scheme based on DNA encoding and spatiotemporal chaotic system." Signal Processing: Image Communication, vol. 80, p.115670, 2020.

X.J. Wu, K.S. Wang, X.Y. Wang, H.B. Kan, J. Kurths, “Colour image DNA encryption using NCA map-based CML and one-time keys.” Signal Process. Vol.148, pp.272–287, 2018

Ma, S., Zhang, Y., Yang, Z., Hu, J. and Lei, X., “A new plaintext-related image encryption scheme based on chaotic sequence.” IEEE Access, 7, pp.30344-30360. 2019.

Méndez-Ramírez, R.D., Arellano-Delgado, A., Murillo-Escobar, M.A. and Cruz-Hernández, C., “A New 4D Hyperchaotic System and Its Analog and Digital Implementation”. Electronics 10(15), pp. 1793, 2021.

Zhong, Z., Chang, J., Shan, M. and Hao, B., “Double image encryption using double pixel scrambling and random phase encoding.” Optics Communications, vol. 285(5), pp.584-588, 2012.

Zhang, Q., Guo, L. and Wei, X., “Image encryption using DNA addition combining with chaotic maps.” Mathematical and Computer Modelling, vol. 52(11-12), pp.2028-2035, 2010.

Rössler O. E., “An equation for continuous chaos original research article.” Phys Lett A, vol. 57(5), pp.397–398, 1976.

C.E. Shannon, “A mathematical theory of communication”, The Bell System Technical Journal. Vol. 27, pp. 623-656, 1948.

Wang, X.Y., Zhang, H.L. and Bao, X.M., “Colour image encryption scheme using CML and DNA sequence operations.” Biosystems, vol. 144, pp.18-26. 2016.

Wu, Y., Noonan, J.P. and Agaian, S., “NPCR and UACI randomness tests for image encryption.” Cyber journals: multidisciplinary journals in science and technology, Journal of Selected Areas in Telecommunications (JSAT), vol. 1(2), pp.31-38, 2011.

Fan, Chunlei, Qun Ding, and Chi K. Tse. "Counteracting the dynamical degradation of digital chaos by applying stochastic jump of chaotic orbits." International Journal of Bifurcation and Chaos, vol. 29(08), p.1930023, 2019.

L. Bassham, A. Rukhin, J. Soto, J. Nechvatal, M. Smid, S. Leigh, M. Levenson, M. Vangel, N. Heckert and D. Banks, SP800-22 Rev. 1a. A Statistical Test Suite for Random and Pseudorandom Number Generators for Cryptographic Applications, Tech. Rep., SP800-22, National Institute of Standards & Technology, 2010.