Novel Models of Image Permutation and Diffusion Based on Perturbed Digital Chaos
Most of chaos-based cryptosystems utilize stationary dynamics of chaos for the permutation and diffusion, and many of those are successfully attacked. In this paper, novel models of the image permutation and diffusion are proposed, in which chaotic map is perturbed at bit level on state variables, o...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-05-01
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| Series: | Entropy |
| Subjects: | |
| Online Access: | https://www.mdpi.com/1099-4300/22/5/548 |
| _version_ | 1797568068678844416 |
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| author | Thang Manh Hoang Safwan El Assad |
| author_facet | Thang Manh Hoang Safwan El Assad |
| author_sort | Thang Manh Hoang |
| collection | DOAJ |
| description | Most of chaos-based cryptosystems utilize stationary dynamics of chaos for the permutation and diffusion, and many of those are successfully attacked. In this paper, novel models of the image permutation and diffusion are proposed, in which chaotic map is perturbed at bit level on state variables, on control parameters or on both. Amounts of perturbation are initially the coordinate of pixels in the permutation, the value of ciphered word in the diffusion, and then a value extracted from state variables in every iteration. Under the persistent perturbation, dynamics of chaotic map is nonstationary and dependent on the image content. The simulation results and analyses demonstrate the effectiveness of the proposed models by means of the good statistical properties of transformed image obtained after just only a single round. |
| first_indexed | 2024-03-10T19:51:09Z |
| format | Article |
| id | doaj.art-052b93ae49664d32959292399d6a1141 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-10T19:51:09Z |
| publishDate | 2020-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-052b93ae49664d32959292399d6a11412023-11-20T00:21:46ZengMDPI AGEntropy1099-43002020-05-0122554810.3390/e22050548Novel Models of Image Permutation and Diffusion Based on Perturbed Digital ChaosThang Manh Hoang0Safwan El Assad1School of Electronics and Telecommunications, Hanoi University of Science and Technology, 1 Dai Co Viet, Hai Ba Trung, Hanoi 100000, VietnamIETR (Institut d’Electronique et des Télécommunications de Rennes), Université de Nantes, CNRS, UMR 6164, Polytech Nantes, Rue Christian Pauc CS 50609, CEDEX 3, 44306 Nantes, FranceMost of chaos-based cryptosystems utilize stationary dynamics of chaos for the permutation and diffusion, and many of those are successfully attacked. In this paper, novel models of the image permutation and diffusion are proposed, in which chaotic map is perturbed at bit level on state variables, on control parameters or on both. Amounts of perturbation are initially the coordinate of pixels in the permutation, the value of ciphered word in the diffusion, and then a value extracted from state variables in every iteration. Under the persistent perturbation, dynamics of chaotic map is nonstationary and dependent on the image content. The simulation results and analyses demonstrate the effectiveness of the proposed models by means of the good statistical properties of transformed image obtained after just only a single round.https://www.mdpi.com/1099-4300/22/5/548chaos-based image encryptionchaotic cryptographydynamics perturbationchaotic permutationchaotic diffusion |
| spellingShingle | Thang Manh Hoang Safwan El Assad Novel Models of Image Permutation and Diffusion Based on Perturbed Digital Chaos Entropy chaos-based image encryption chaotic cryptography dynamics perturbation chaotic permutation chaotic diffusion |
| title | Novel Models of Image Permutation and Diffusion Based on Perturbed Digital Chaos |
| title_full | Novel Models of Image Permutation and Diffusion Based on Perturbed Digital Chaos |
| title_fullStr | Novel Models of Image Permutation and Diffusion Based on Perturbed Digital Chaos |
| title_full_unstemmed | Novel Models of Image Permutation and Diffusion Based on Perturbed Digital Chaos |
| title_short | Novel Models of Image Permutation and Diffusion Based on Perturbed Digital Chaos |
| title_sort | novel models of image permutation and diffusion based on perturbed digital chaos |
| topic | chaos-based image encryption chaotic cryptography dynamics perturbation chaotic permutation chaotic diffusion |
| url | https://www.mdpi.com/1099-4300/22/5/548 |
| work_keys_str_mv | AT thangmanhhoang novelmodelsofimagepermutationanddiffusionbasedonperturbeddigitalchaos AT safwanelassad novelmodelsofimagepermutationanddiffusionbasedonperturbeddigitalchaos |