Abstract
Digital image is transmitted more and more frequently through the network. To protect the security of batch images in an open network, a multiple-image encryption algorithm is proposed. Firstly, multiple images are combined into an image cube and then three-dimensional integer lifting wavelet transform (3D-LWT) is performed on it; secondly, the low-frequency part is scrambled to obtain the scrambled image cube in frequency domain; thirdly, three-dimensional inverse integer lifting wavelet transform (3D-ILWT) is performed to obtain the scrambled image cube in the spatial domain; finally, the scrambled image cube is replaced by the dynamic stereo S-box. The experimental results and algorithm analyses show that the key space of the algorithm can reach up to 2628, and its key sensitivity is very strong. Therefore the algorithm is strongly secure and robust.
Similar content being viewed by others
Data availability
The data that support the findings of this study are available upon reasonable request from the authors.
References
Aasawari S, Laiphrakpam DS (2021) Multiple images encryption based on 3D scrambling and hyper-chaotic system [J]. Inf Sci 550(3):252–267
Abboud AJ, Albu-Rghaif AN, Jassim AK (2018) Balancing compression and encryption of satellite imagery [J]. International. J Electric Comput Eng 8(5):3568–3586
Al-Khasawneh MA, Shamsuddin SM, Hasan S, et al. (2018) An improved chaotic image encryption Algorithm [C]// International Conference on Smart Computing and Electronic Enterprise (ICSCEE): 1–8
Al-Maadeed TA et al (2021) A image encryption algorithm based on chaotic Lorenz system and novel primitive polynomial S-boxes [J]. Multimed Tools Appl 80(16):24801–24822
Alvarez G, Li S (2006) Some basic cryptographic requirements for chaos-based cryptosystems [J]. Int J Bifurcation Chaos 16(8):2129–2151
Dezhao K, Xueju S, Qinzu X et al (2013) Multiple-image encryption scheme based on cascaded fractional Fourier transform [J]. Appl Opt 52(12):2619–2625
Dongming H, Zhilong Z, Xin Z et al (2023) A flexible and visually meaningful multi-image compression, encryptionand hiding scheme based on 2D compressive sensing [J]. Heliyon 9(3):1–17
Fridrich J (1998) Symmetric ciphers based on two-dimensional chaotic maps [J]. Int J Bifurcation Chaos 8(6):1259–1284
Hegui Z, Lewen D, Yating L et al (2021) A three-dimensional bit-level image encryption algorithm with Rubik's cube method [J]. Math Comput Simul 185(2):754–770
Huiyan Z, Guodong L (2022) Multi-image encryption algorithm based on wavelet transform and 3D shuffling scrambling [J]. Multimed Tools Appl 81(7):24757–24776
Ingrid D, Wim S (1998) Factoring wavelet transforms into lifting steps [J]. J Fourier Anal Appl 4(3):247–269
Javan AA, Kekha et al (2021) Medical images encryption based on adaptive-robust multi-dode synchronization of chen hyper-chaotic systems [J]. Sensors 21(11):3925
Jiantao Z, Xianming L, Au OC et al (2014) Designing an efficient image encryption-then-compression system via prediction error clustering and random permutation [J]. IEEE Trans Inf Forensic Secur 9(1):39–50
Jieyu Z, Lingfeng L (2020) Novel image encryption by combining dynamic DNA sequence encryption and the improved 2D logistic sine map [J]. IET Image Process 14(11):2310–2320
Jun P, Yang W, Shangzhu J, et al. (2020) Image encryption based on fractional-order chen hyperchaotic system. 2020 15th IEEE conference on industrial electronics and applications (ICIEA). IEEE. pp: 213–217
Kumar V, Ashishr G (2021) A 2D logistic map and Lorenz-Rossler chaotic system based RGB image encryption approach [J]. Multimed Tools Appl 80(3):3749–3773
Lei Z, Xiaoqiang Z (2020) Multiple-image encryption algorithm based on bit planes and chaos [J]. Multimed Tools Appl 79(29):20753–20771
Li L, Abd-El-Atty B, Abd El-Latif AA, et al (2017) Quantum color image encryption based on multiple discrete chaotic systems [C]. Computer Science & Information Systems. IEEE, pp 555–559
Liao Xin Y, Yingbo LB et al (2019) A new payload partition strategy in color image steganography [J]. IEEE Trans Circ Syst Vid Technol 30(3):685–696
LilianHuang WS, Jianhong X et al (2020) Chaotic color image encryption scheme using deoxyribonucleic acid (DNA) coding calculations and arithmetic over the Galois field [J]. Math Probl Eng:1–22
Liyong B, Jianchao T, Hongwei D et al (2021) The N-level (N≥ 4) logistic cascade homogenized mapping for image encryption [J]. Nonlin Dyn 105(2):1911–1935
Ma Manman Y, Xuelian CH et al (2022) Dynamic DNA coding multi-image encryption based on compound chaos [J]. J Electron Imaging 31(4):1–16
Manish K, Prateek G (2021) A new medical image encryption algorithm based on the 1D logistic map associated with pseudo-random numbers [J]. Multimed Tools Appl 80(12):18941–18967
Munir N, Khan M, ShaukatJamal S et al (2021) Cryptanalysis of hybrid secure image encryption based on Julia set fractals and three-dimensional Lorenz chaotic map [J]. Math Comput Simul 190(9):826–836
Pak C, Kim J, Pang R et al (2021) A new color image encryption using 2D improved logistic coupling map [J]. Multimed Tools Appl 80(17):25367–25387
Renjie N, Fan W, Jun W et al (2021) Multi-image encryption based on compressed sensing and deep learning in optical gyrator domain [J]. IEEE Photon J 13(3):1–16
Roy S, Shrivastava M, Rawat U et al (2021) IESCA: an efficient image encryption scheme using 2-D cellular automata [J]. J Inf Secur Appl 61(5):102919–102937
Shafique A, Fawad A (2020) Image encryption using dynamic S-box substitution in the wavelet domain [J]. Wirel Pers Commun 115(3):2243–2268
Shevchenko II (2014) Lyapunov exponents in resonance multiplets [J]. Phys Lett A 378(1–2):34–42
Shiwei J, Yuan G, Wei C (2020) Meaningful ciphertext encryption algorithm based on bit scrambling, discrete wavelet transform, and improved chaos [J]. IET Image Process 15(10):1053–1071
Tao W, Minghui W (2020) Hyperchaotic image encryption algorithm based on bit-level permutation and DNA encoding [J]. Opt Laser Technol 132(12):1–13
Vandana R, Pal AK (2021) An image encryption scheme in bit plane content using Henon map based generated edge map [J]. Multimed Tools Appl 80(14):22275–22300
Xiaofeng W, Bin L, Wang Y et al (2021) An efficient batch images encryption method based on DNA encoding and PWLCM [J]. Multimed Tools Appl 80(17):1–29
Xiaohong G (2021) A color image encryption algorithm based on an improved Hénon map [J]. Physica Scripta 96(6):1–18
Xiaoqiang Z, Jingjing L (2022) Multiple-image encryption algorithm based on the dice-rotation model and improved chaos [J]. J Electron Imaging 31(4):043047–043073
Xiaoqiang Z, Xuesong W (2017) Multiple-image encryption algorithm based on mixed image element and permutation [J]. Comput Electr Eng 62(5):6–16
Xiaoqiang Z, Xuesong W (2017) Multiple-image encryption algorithm based on mixed image element and chaos [J]. Comput Electr Eng 62(6):401–413
Xiaoqiang Z, Xuesong W (2019) Multiple-image encryption algorithm based on DNA encoding and chaotic system [J]. Multimed Tools Appl 78(8):7841–7869
Xiaoqing W, Hao Z, Xingyuan W et al (2020) Novel multiple images encryption algorithm using CML system and DNA encoding [J]. IET Image Process 14(3):518–529
Xin L, Kaide L, Xinshan Z et al (2020) Robust detection of image operator chain with two-stream convolutional neural network [J]. IEEE J Select Top Signal Process 14(5):955–968
Xin L, Jiaojiao Y, Mingliang C et al (2020) Adaptive payload distribution in multiple images steganography based on image texture features [J]. IEEE Trans Depend Secure Comput 19(2):897–911
Xiuli C, Jianqiang B, Zhihua G (2020) Color image compression and encryption scheme based on compressive sensing and double random encryption strategy [J]. Signal Process 176(11):1–18
Xiuli C, Xiangcheng Z, Zhihua G et al (2021) Combining improved genetic algorithm and matrix semi-tensor product (STP) in color image encryption [J]. Signal Process 183(6):1–24
Xiulun Y, Xianye L, Xiangfeng M et al (2018) Multiple-image encryption via lifting wavelet transform and XOR operation based on compressive ghost imaging scheme [J]. Opt Lasers Eng 102(3):106–111
Ye Tian L, Zhimao. (2017) Novel permutation-diffusion image encryption algorithm with chaotic dynamic S-box and DNA sequence operation [J]. AIP Adv 7(8):1–23
Yong Z (2018) The unified image encryption algorithm based on chaos and cubic S-box [J]. Inf Sci 450:361–377
Yousif YF, Abboud AJ, Radhi HY (2020) Robust image encryption with scanning technology, the El-Gamal algorithm and chaos theory [J]. IEEE Access 8(24):155184–155209
Yousif YF, Abboud AJ, Alhumaima RS (2022) A new image encryption based on bit replacing, chaos and DNA coding techniques [J]. Multimed Tools Appl 81(19):27453–27493
Zhihua G, Jianqiang B, Wenke D et al (2021) Exploiting 2D compressed sensing and information entropy for secure color image compression and encryption [J]. Neural Comput & Applic:1–23
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict interest
The author declare that they have no conflicts of interest.
Additional information
Publisher’s note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Zhang, X., Liao, J. Multiple-image encryption algorithm based on 3D-LWT and dynamic stereo S-box. Multimed Tools Appl 83, 16337–16362 (2024). https://doi.org/10.1007/s11042-023-16162-7
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11042-023-16162-7