Secure and Fast Image Encryption Algorithm Using Hyper-Chaos-Based Key Generator and Vector Operation
Open accessAbstract
To protect image data privacy, a secure and fast image encryption algorithm using hyper-chaos based key generator and vector operation is proposed. Firstly, we introduce a novel post-process method to create a key matrix for significantly reducing the iterations of the hyperchaotic system from W×H/4 to 2W for an image size of W×H. And within the post-process, a random selector driven by the piecewise linear chaotic map ensures the good randomness and unpredictability of the generated key matrix. Secondly, the vector operation is employed to accelerate the cipher block chaining based diffusion process, so the plain image can be parallel encrypted row by row and column by column with high efficiency. Thirdly, we utilize a Logistic map to quickly produce an initial vector for the vectorized diffusion process. Finally, the proposed algorithm is evaluated by some common security and performance tests. Experimental results show that the cipher image can pass all tests of NIST SP 800-22 with P-values>>0.01, its correlation coefficient between pixels is close to 0, and the entropy is greater than 7.999. Combined with other results of security tests, we can safely conclude that the proposed image encryption algorithm provides adequate protection against statistical, brute-force, chosen-plaintext, and other common types of attacks. In addition, the time complexity is in the order of O(W+H) and the average encryption time of 512×512 images is only 0.023s. The results indicate that our algorithm with high security and fast speed can meet the requirements of real-time confidential transmission of massive image data.
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
Chaos-based image encryption algorithms are efficient, making them ideal for real-time applications and suitable for environments with constrained computational resources.
“Additionally, chaos-based image encryption algorithms are known for their efficiency, making them ideal for real-time applications and suitable for environments with constrained computational resources17,18.”
From A chaos-based augmented image encryption scheme for satellite images using Fredkin logic (2025) · cites this paper as [18]
The computational-cost analysis reports fast execution for the paper’s proposed chaos-based algorithm and says it can support real-time image transmission. But the experiments used a desktop computer, and the paper does not establish suitability for environments with constrained computational resources or for chaos-based algorithms generally. (LLM, conf=0.88)
Experimental — accuracy not yet measured
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Cites
Image encryption algorithm based on 2D hyperchaotic map
Gao, X. (2021) · Optics & Laser Technology · doi:10.1016/j.optlastec.2021.107252 · Cited by 160 · see citing works
A novel plaintext-related image encryption scheme using hyper-chaotic system
Li, Z., Peng, C., Li, L., & Zhu, X. (2018) · Nonlinear Dynamics · doi:10.1007/s11071-018-4426-4 · Cited by 142 · see citing works
A novel bit level multiphase algorithm for image encryption based on PWLCM chaotic map
Hasheminejad, A., & Rostami, M. J. (2019) · Optik · doi:10.1016/j.ijleo.2019.03.065 · Cited by 72 · see citing works
Flagged first, then by citations
Research works printed but not linked: 48
- M. Khan, and T. Shah, "A literature review on image encryption techniques," 3D Res., vol. 5, no. 4, pp. 5-29, 2014.
- M. Kaur, and V. A. Kumar, "Comprehensive review on image encryption techniques," Arch. Comput. Method E., vol. 27, no. 1, pp. 15-43, 2020.
- X. Di, X. Liao, and P. Wei, "Analysis and improvement of a chaos-based image encryption algorithm," Chaos Soliton. Fract., vol. 40, no. 5, pp. 2191-2199, 2009.
- M. Kaur, D. Singh, and R.S. Uppal, "Parallel strength Pareto evolutionary algorithm-II based image encryption," IET. Image. Process., vol. 14, no. 6, pp. 1015-1026, 2020.
- H.M. Ghadirli, A. Nodehi, and R. Enayatifar, "An overview of encryption algorithms in color images," Signal Process., vol. 164, pp. 163-185, 2019.
- N. Rawat et al., "Compressive sensing based robust multispectral double-image encryption," Appl. Optics, vol. 54, no. 7, pp. 1782-1793, 2015.
- E.E. Garcí a-Guerrero et al., "Randomness improvement of chaotic maps for image encryption in a wireless communication scheme using PIC-microcontroller via Zigbee channels," Chaos Soliton. Fract., vol. 133, 2020, Art. no. 107316.
- A. Girdhar, H. Kapur, and V. Kumar, "A novel grayscale image encryption approach based on chaotic maps and image blocks," Appl. Phys. B-Lasers O., vol. 127, no. 3, pp. 1-12, 2021.
- E.ED. Hemdan, "An efficient and robust watermarking approach based on single value decompression, multi-level DWT, and wavelet fusion with scrambled medical images," Multimed. Tools Appl., vol. 80, pp. 1749-1777, 2021.
- M. Nazari, and M. Mehrabian, "A novel chaotic IWT- LSB blind watermarking approach with flexible capacity for secure transmission of authenticated medical images," Multimed. Tools Appl., vol. 80, pp. 10615-10655, 2021.
- C.L. Chowdhary et al., "Analytical study of hybrid techniques for image encryption and decryption," Sensors- basel., vol. 20, no. 18, 2020, Art. no. 5162.
- Y. Bentoutoua et al., "An improved image encryption algorithm for satellite applications," Adv. Space Res., vol. 66, no. 1, pp.176-192, 2020.
- Y.L. Luo et al., "An image encryption method based on elliptic curve elgamal encryption and chaotic systems," IEEE Access., vol. 7, pp. 38507-38522, 2019.
- B. Deepan et al., "Multiple-image encryption by space multiplexing based on compressive sensing and the double- random phase-encoding technique," Appl. Optics., vol. 53, no. 20, pp. 4539-4547, 2014.
- R. Enayatifar, A.H. Abdullah, and I.F. Isnin, "Chaos- based image encryption using a hybrid genetic algorithm and a DNA sequence," Opt. Laser Eng., vol. 56, pp. 83-93, 2014.
- M. Kaur, V. Kumar, "Beta Chaotic Map Based Image Encryption Using Genetic Algorithm," Int. J. Bifurcat. Chaos., vol. 28, no. 11, 516-519, 2018, Art. no. 1850132.
- Q. Xu et al., "A fast image encryption algorithm based on compressive sensing and hyperchaotic map," Opt. Laser Eng., vol. 121, pp. 203-214, 2019.
- R. Matthews, "On the derivation of a 'chaotic' encryption algorithm," Cryptologia., vol. 13, no. 1, pp. 29-42, 1989.
- L.M. Pecora, and T.L. Carroll, "Synchronization in chaotic systems," Phys. Rev. Lett., vol. 64, no. 8, pp. 821- 824, 1990.
- J. Fridrich, "Symmetric ciphers based on two- dimensional chaotic maps," Int. J. Bifurcat. Chaos., vol. 8, no. 6, pp. 1259-1284, 1998.
- C. Pak, and L. Huang, "A new color image encryption using combination of the 1D chaotic map," Signal Process., vol. 138, pp. 129-137, 2017.
- H. Wang et al., "Cryptanalysis and enhancements of image encryption using combination of the 1D chaotic map," Signal Process., vol. 144, pp. 444-452, 2018.
- S.J. Sheela, K.V. Suresh, and D. Tandur, "Image encryption based on modified Henon map using hybrid chaotic shift transform," Multimed. Tools Appl., vol. 77, no. 19, pp. 25223-25251, 2018.
- M. Ahmad et al., "Cryptanalysis of an image encryption algorithm based on PWLCM and inertial delayed neural network," J. Intell. Fuzzy Syst., vol. 34, no. 3, pp. 1323-1332, 2018.
- H. Liu, A. Kadir, and J. Liu, "Color pathological image encryption algorithm using arithmetic over Galois field and coupled hyper chaotic system," Opt. Laser Eng., vol. 122, pp. 123-133, 2019.
- T. Gao et al., "The generation and circuit implementation of a new hyper-chaos based upon Lorenz system," Phys. Lett. A., vol. 361, no. 1-2, pp. 78-86, 2007.
- T.M. Khlebodarova et al. "Chaos and hyperchaos in simple gene network with negative feedback and time delays," J Bioinf. Comput. Biol., vol. 15, no. 2, 2016, Art. no. 1650042.
- V. Basios, and C.G. Antonopoulos, "Hyperchaos & labyrinth chaos: Revisiting Thomas-Rössler systems," J. Theor. Biol., vol. 460, pp. 153-159, 2019.
- B. Nawel et al., "Image encryption using a combination of Grain-128a algorithm and Zaslavsky chaotic map," IET Image Process., vol. 14, no. 6, pp. 1120-1131, 2020.
- T. Gao, and Z. Chen, "A new image encryption algorithm based on hyper-chaos," Phys. Lett. A., vol. 372, no. 4, pp. 394-400, 2008.
- R. Rhouma, and S. Belghith, "Cryptanalysis of a new image encryption algorithm based on hyper-chaos," Phys. Lett. A., vol. 372, no. 38, pp. 5973-5978, 2008.
- X. L. Chai, Z. H. Gan, and M. H. Zhang, "A fast chaos- based image encryption scheme with a novel plain image- related swapping block permutation and block diffusion," Multimed. Tools Appl., vol. 76, no. 14, pp. 15561-15585, 2017.
- L. Liu, Y. Lei, and D. Wang, "A fast chaotic image encryption algorithm with simultaneous permutation- diffusion operation," IEEE Access., vol. 8, pp. 27361-27374, 2020.
- H.M. Yuan et al., "A new parallel image cryptosystem based on 5D hyper-chaotic system," Signal Process.-Image., vol. 52, pp. 87-96, 2017.
- Ü. Çavuşoğlu, and S. Kaçar, "A novel parallel image encryption algorithm based on chaos," Cluster Comput., vol. 22, no. 4, pp. 1211-1223, 2019.
- M. Zhou, and C. Wang, "A novel image encryption scheme based on conservative hyperchaotic system and closed-loop diffusion between blocks," Signal Process., to be published. DOI: 10.1016/j.sigpro.2020.107484. · DOI
- C.F. Zhao, and H.P. Ren, "Image encryption based on hyper-chaotic multi-attractors," Nonlinear Dynam., vol. 100, no. 1, pp. 679-698, 2020.
- L. Oteko Tresor and M. Sumbwanyambe, "A Selective Image Encryption Scheme Based on 2D DWT, Henon Map and 4D Qi Hyper-Chaos," IEEE Access, vol. 7, pp. 103463- 103472, 2019.
- M.D. Gupta, and R. 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.
- X. Wang, and M. Zhao, "An image encryption algorithm based on hyperchaotic system and DNA coding," Opt. Laser Eng., vol. 143, 2021, Art. no. 107316.
- X. Wang et al., "A one-time pad color image cryptosystem based on SHA-3 and multiple chaotic systems," Opt. Laser Eng., vol. 103, pp. 1-8, 2018.
- S. Rajendran et al., "Fast pre-processing hex Chaos triggered color image cryptosystem," Multimed. Tools Appl., vol. 79, no. 7, pp. 1-23, 2020.
- S. Zhou et al., "A novel method based on the pseudo- orbits to calculatethe largest Lyapunov exponent from chaotic equations," Chaos., vol. 29, 2019, Art. no. 033125.
- M. Ghebleh, A. Kanso, and D. Stevanović, "A novel image encryption algorithm based on piecewise linear chaotic maps and least squares approximation," Multimed. Tools Appl., vo. 77, no. 6, pp. 7305-7326, 2018.
- M.J. Rostami et al. "A novel parallel image encryption with chaotic windows based on logistic map," Comput. Electr Eng., vol. 62, pp. 384-400, 2017.
- S.Zhou, and X. Wang, "Identifying the linear regionbased on machine learning to calculate the largestLyapunov exponent from chaotic time series," Chaos., vol. 28, 2018, Art. no. 123118.
- C.R. Harris et al. "Array programming with NumPy," Nature., vol. 585, no. 7825, pp. 357-362, 2020.
- M. Gataric et al. "Reconstruction of optical vector-fields with applications in endoscopic imaging," IEEE T. Med. Imaging., vol. 38, no. 4, pp. 955-967, 2018.
Cited by
Sorted by citations
A chaos-based augmented image encryption scheme for satellite images using Fredkin logic
Alexan, W., Maher, E. A., Mamdouh, E., Youssef, M., & Ehab, N. (2025) · Scientific Reports · doi:10.1038/s41598-025-22008-z · Cited by 20 · see citing works
- Authors
- Ge, B., Chen, X., Chen, G., & Shen, Z.
- Affiliations
- Nantong Vocational University (CN)
- Chinese Academy of Sciences (CN)
- Venue
- IEEE Access
- Published
- 2021
- Volume
- 9
- Pages
- 137635-137654
- ISSN
- 2169-3536 (ISSN-L)
- OpenAlex
- W3204364773
- Cited by
- 54
- References
- 3
- Citations by year
- 2026: 7 · 2025: 11 · 2024: 16 · 2023: 11 · 2022: 9
- FWCI
- 3.24
- Type
- journal article
- Language
- en
- Open access
- gold
- doi.org
- Locations
- IEEE Access (publishedVersion, cc-by)
- DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion, cc-by-sa)
- SEMI-IR (submittedVersion)
- Funders
- National Natural Science Foundation of China (U1936106, U19A2080, 62004108)
- Natural Science Foundation for Universities of Jiangsu Province (20KJD510001)
- Qing Lan Project of Colleges and Universities in Jiangsu Province (2020 10)
- Nantong Science and Technology Plan Project (JC2021036)
- 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 › Computer Vision and Pattern Recognition › Advanced Steganography and Watermarking Techniques
- Keywords
- image encryption, hyperchaos, key generator, cipher block chaining, diffusion, logistic map, piecewise linear chaotic map, parallel encryption, real-time image transmission
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review