A Novel Chaos-Based Image Encryption Using Magic Square Scrambling and Octree Diffusing
Digital chaotic maps have been widely used in the fields of cryptography owing to their dynamic characteristics, however, some unfavorable security properties arise when they operate on devices with limited precision. Thus, enhancing the properties of chaotic maps are beneficial to the improvement o...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-01-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/10/3/457 |
| _version_ | 1827660036724228096 |
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| author | Jie Wang Lingfeng Liu |
| author_facet | Jie Wang Lingfeng Liu |
| author_sort | Jie Wang |
| collection | DOAJ |
| description | Digital chaotic maps have been widely used in the fields of cryptography owing to their dynamic characteristics, however, some unfavorable security properties arise when they operate on devices with limited precision. Thus, enhancing the properties of chaotic maps are beneficial to the improvement of chaos-based encryption algorithms. In this paper, a scheme to integrate a one-dimensional Logistic map by perturbation parameters with a delayed coupling method and feedback control is proposed and further deepens the randomness by selectively shifting the position of the chaotic sequence. Then, through a number of simulation experiments, the results demonstrate that the two-dimensional chaotic map treated by this mode exhibits better chaotic characteristics, including a larger chaos range and higher complexity. In addition, a new image encryption algorithm is designed based on these modified chaotic sequences, in which magic square theorem is incorporated to exchange pixel positions, and the octree principle is invoked to achieve pixel bit shifting. Several simulation experiments present findings that the image encryption algorithm contains a high level of security, and can compete with other encryption algorithms. |
| first_indexed | 2024-03-09T23:32:35Z |
| format | Article |
| id | doaj.art-d75dc07d209f4dee9f90d7ea0f4f32d3 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-09T23:32:35Z |
| publishDate | 2022-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-d75dc07d209f4dee9f90d7ea0f4f32d32023-11-23T17:07:51ZengMDPI AGMathematics2227-73902022-01-0110345710.3390/math10030457A Novel Chaos-Based Image Encryption Using Magic Square Scrambling and Octree DiffusingJie Wang0Lingfeng Liu1School of Software, Nanchang University, Nanchang 330031, ChinaSchool of Software, Nanchang University, Nanchang 330031, ChinaDigital chaotic maps have been widely used in the fields of cryptography owing to their dynamic characteristics, however, some unfavorable security properties arise when they operate on devices with limited precision. Thus, enhancing the properties of chaotic maps are beneficial to the improvement of chaos-based encryption algorithms. In this paper, a scheme to integrate a one-dimensional Logistic map by perturbation parameters with a delayed coupling method and feedback control is proposed and further deepens the randomness by selectively shifting the position of the chaotic sequence. Then, through a number of simulation experiments, the results demonstrate that the two-dimensional chaotic map treated by this mode exhibits better chaotic characteristics, including a larger chaos range and higher complexity. In addition, a new image encryption algorithm is designed based on these modified chaotic sequences, in which magic square theorem is incorporated to exchange pixel positions, and the octree principle is invoked to achieve pixel bit shifting. Several simulation experiments present findings that the image encryption algorithm contains a high level of security, and can compete with other encryption algorithms.https://www.mdpi.com/2227-7390/10/3/457digital chaotic mapimage encryptiondelay couplingfeedbackmagic squareoctree |
| spellingShingle | Jie Wang Lingfeng Liu A Novel Chaos-Based Image Encryption Using Magic Square Scrambling and Octree Diffusing Mathematics digital chaotic map image encryption delay coupling feedback magic square octree |
| title | A Novel Chaos-Based Image Encryption Using Magic Square Scrambling and Octree Diffusing |
| title_full | A Novel Chaos-Based Image Encryption Using Magic Square Scrambling and Octree Diffusing |
| title_fullStr | A Novel Chaos-Based Image Encryption Using Magic Square Scrambling and Octree Diffusing |
| title_full_unstemmed | A Novel Chaos-Based Image Encryption Using Magic Square Scrambling and Octree Diffusing |
| title_short | A Novel Chaos-Based Image Encryption Using Magic Square Scrambling and Octree Diffusing |
| title_sort | novel chaos based image encryption using magic square scrambling and octree diffusing |
| topic | digital chaotic map image encryption delay coupling feedback magic square octree |
| url | https://www.mdpi.com/2227-7390/10/3/457 |
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