Robust Image Encryption with 2D Hyperchaotic Map and Dynamic DNA-Zigzag Encoding
This study presents a novel two-dimensional hyperchaotic map, referred to as the 2D exponent-logarithm-sine chaotic map (2D-ELSCM), which is intricately designed through the interplay of exponential, logarithmic, and sine functions. To comprehensively evaluate the chaotic performance of the 2D-ELSCM...
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MDPI AG
2025-06-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/27/6/606 |
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| author | Haijun Zhang Xiaojiao Liu Kehan Chen Rigen Te Fei Yan |
| author_facet | Haijun Zhang Xiaojiao Liu Kehan Chen Rigen Te Fei Yan |
| author_sort | Haijun Zhang |
| collection | DOAJ |
| description | This study presents a novel two-dimensional hyperchaotic map, referred to as the 2D exponent-logarithm-sine chaotic map (2D-ELSCM), which is intricately designed through the interplay of exponential, logarithmic, and sine functions. To comprehensively evaluate the chaotic performance of the 2D-ELSCM, several critical metrics are employed, including the largest Lyapunov exponent (LLE), permutation entropy (PE), sample entropy (SE), Kolmogorov entropy (KE), and the results of the 0–1 test, which yield values of 8.3175, 0.9998, 1.9826, 2.1117, and 0.9970, respectively. Furthermore, the 2D-ELSCM successfully passes the NIST randomness tests, collectively confirming its exceptional randomness and complexity. Building upon this robust chaotic map, we develop a distinctive chaotic image encryption scheme that employs an improved Knuth-Durstenfeld shuffle (IKDS) to rearrange pixel positions, effectively disrupting the correlation between adjacent pixels. Complementing this, we introduce a dynamic diffusion mechanism that integrates DNA encoding with the Zigzag transform, thereby promoting global pixel diffusion and enhancing encryption security. The initial conditions of the chaotic map are generated from the SHA-512 hash of the plaintext image in conjunction with an external key, which not only expands the key space but also significantly improves key sensitivity. Simulation results demonstrate that the proposed encryption scheme achieves correlation coefficients approaching 0 in the encrypted test images, with an average NPCR of 99.6090% and UACI of 33.4707%. These findings indicate a strong resistance to various attacks and showcase excellent encryption quality, thereby underscoring the scheme’s potential for secure image transmission and storage. |
| format | Article |
| id | doaj-art-140bd5bb146d4b8a8aafe82753561c18 |
| institution | OA Journals |
| issn | 1099-4300 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj-art-140bd5bb146d4b8a8aafe82753561c182025-08-20T02:21:01ZengMDPI AGEntropy1099-43002025-06-0127660610.3390/e27060606Robust Image Encryption with 2D Hyperchaotic Map and Dynamic DNA-Zigzag EncodingHaijun Zhang0Xiaojiao Liu1Kehan Chen2Rigen Te3Fei Yan4Chongqing Research Institute, Changchun University of Science and Technology, Chongqing 401135, ChinaSchool of Computer Science and Technology, Changchun University of Science and Technology, Changchun 130022, ChinaSchool of Computer Science and Technology, Changchun University of Science and Technology, Changchun 130022, ChinaChang Guang Satellite Technology Co., Ltd., Changchun 130000, ChinaChongqing Research Institute, Changchun University of Science and Technology, Chongqing 401135, ChinaThis study presents a novel two-dimensional hyperchaotic map, referred to as the 2D exponent-logarithm-sine chaotic map (2D-ELSCM), which is intricately designed through the interplay of exponential, logarithmic, and sine functions. To comprehensively evaluate the chaotic performance of the 2D-ELSCM, several critical metrics are employed, including the largest Lyapunov exponent (LLE), permutation entropy (PE), sample entropy (SE), Kolmogorov entropy (KE), and the results of the 0–1 test, which yield values of 8.3175, 0.9998, 1.9826, 2.1117, and 0.9970, respectively. Furthermore, the 2D-ELSCM successfully passes the NIST randomness tests, collectively confirming its exceptional randomness and complexity. Building upon this robust chaotic map, we develop a distinctive chaotic image encryption scheme that employs an improved Knuth-Durstenfeld shuffle (IKDS) to rearrange pixel positions, effectively disrupting the correlation between adjacent pixels. Complementing this, we introduce a dynamic diffusion mechanism that integrates DNA encoding with the Zigzag transform, thereby promoting global pixel diffusion and enhancing encryption security. The initial conditions of the chaotic map are generated from the SHA-512 hash of the plaintext image in conjunction with an external key, which not only expands the key space but also significantly improves key sensitivity. Simulation results demonstrate that the proposed encryption scheme achieves correlation coefficients approaching 0 in the encrypted test images, with an average NPCR of 99.6090% and UACI of 33.4707%. These findings indicate a strong resistance to various attacks and showcase excellent encryption quality, thereby underscoring the scheme’s potential for secure image transmission and storage.https://www.mdpi.com/1099-4300/27/6/606hyperchaotic mapimage encryptionshuffle algorithmDNA-zigzag encoding |
| spellingShingle | Haijun Zhang Xiaojiao Liu Kehan Chen Rigen Te Fei Yan Robust Image Encryption with 2D Hyperchaotic Map and Dynamic DNA-Zigzag Encoding Entropy hyperchaotic map image encryption shuffle algorithm DNA-zigzag encoding |
| title | Robust Image Encryption with 2D Hyperchaotic Map and Dynamic DNA-Zigzag Encoding |
| title_full | Robust Image Encryption with 2D Hyperchaotic Map and Dynamic DNA-Zigzag Encoding |
| title_fullStr | Robust Image Encryption with 2D Hyperchaotic Map and Dynamic DNA-Zigzag Encoding |
| title_full_unstemmed | Robust Image Encryption with 2D Hyperchaotic Map and Dynamic DNA-Zigzag Encoding |
| title_short | Robust Image Encryption with 2D Hyperchaotic Map and Dynamic DNA-Zigzag Encoding |
| title_sort | robust image encryption with 2d hyperchaotic map and dynamic dna zigzag encoding |
| topic | hyperchaotic map image encryption shuffle algorithm DNA-zigzag encoding |
| url | https://www.mdpi.com/1099-4300/27/6/606 |
| work_keys_str_mv | AT haijunzhang robustimageencryptionwith2dhyperchaoticmapanddynamicdnazigzagencoding AT xiaojiaoliu robustimageencryptionwith2dhyperchaoticmapanddynamicdnazigzagencoding AT kehanchen robustimageencryptionwith2dhyperchaoticmapanddynamicdnazigzagencoding AT rigente robustimageencryptionwith2dhyperchaoticmapanddynamicdnazigzagencoding AT feiyan robustimageencryptionwith2dhyperchaoticmapanddynamicdnazigzagencoding |