Fast and Robust Image Encryption Scheme Based on Quantum Logistic Map and Hyperchaotic System
Topic of quantum chaos has begun to draw increasing attention in recent years. So, to ensure the security of digital image, an image encryption algorithm based on combining a hyperchaotic system and quantum 3D logistic map is proposed. This algorithm is applied in four stages. Initially, the key gen...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2022/3676265 |
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| author | Nehal Abd El-Salam Mohamed Aliaa Youssif Hala Abdel-Galil El-Sayed |
| author_facet | Nehal Abd El-Salam Mohamed Aliaa Youssif Hala Abdel-Galil El-Sayed |
| author_sort | Nehal Abd El-Salam Mohamed |
| collection | DOAJ |
| description | Topic of quantum chaos has begun to draw increasing attention in recent years. So, to ensure the security of digital image, an image encryption algorithm based on combining a hyperchaotic system and quantum 3D logistic map is proposed. This algorithm is applied in four stages. Initially, the key generator builds upon the foundation of mean for any row or column of the edges of the plain image. Its output value is used to yield initial conditions and parameters of the proposed image encryption scheme. Next, it diffuses the plain image by the random sequences generated by 3D hyperchaotic system, and the diffusion process is realized by implementing XOR operation. Then, the diffused image and chaotic sequences are produced by the 3D quantum chaotic logistic map, expressed as a quantum superposition state using density matrix which is a representation of the state of a quantum system, and finally the resulting quantum image is then confused and diffused simultaneously by a unitary matrix generated by logistic chaos using XNOR operation to obtain the final cipher image. Because of the dependence on the plain image, the algorithm can frustrate the chosen-plaintext and known-plaintext attacks. Simulation results and theoretical analysis verify that the presented scheme has high safety performance, a good encryption effect, and a large key space. The method can effectively resist exhaustive, statistical, and differential attacks. Moreover, the encryption time of the proposed method is satisfactory, and the method can be efficiently used in practice for the secure transmission of image information. |
| format | Article |
| id | doaj-art-d2c8c8134d374e5cb03989d8b1b15ea8 |
| institution | OA Journals |
| issn | 1099-0526 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-d2c8c8134d374e5cb03989d8b1b15ea82025-08-20T02:19:51ZengWileyComplexity1099-05262022-01-01202210.1155/2022/3676265Fast and Robust Image Encryption Scheme Based on Quantum Logistic Map and Hyperchaotic SystemNehal Abd El-Salam Mohamed0Aliaa Youssif1Hala Abdel-Galil El-Sayed2College of Information TechnologyCollege of Computing and Information TechnologyCollege of Computers and Artificial IntelligenceTopic of quantum chaos has begun to draw increasing attention in recent years. So, to ensure the security of digital image, an image encryption algorithm based on combining a hyperchaotic system and quantum 3D logistic map is proposed. This algorithm is applied in four stages. Initially, the key generator builds upon the foundation of mean for any row or column of the edges of the plain image. Its output value is used to yield initial conditions and parameters of the proposed image encryption scheme. Next, it diffuses the plain image by the random sequences generated by 3D hyperchaotic system, and the diffusion process is realized by implementing XOR operation. Then, the diffused image and chaotic sequences are produced by the 3D quantum chaotic logistic map, expressed as a quantum superposition state using density matrix which is a representation of the state of a quantum system, and finally the resulting quantum image is then confused and diffused simultaneously by a unitary matrix generated by logistic chaos using XNOR operation to obtain the final cipher image. Because of the dependence on the plain image, the algorithm can frustrate the chosen-plaintext and known-plaintext attacks. Simulation results and theoretical analysis verify that the presented scheme has high safety performance, a good encryption effect, and a large key space. The method can effectively resist exhaustive, statistical, and differential attacks. Moreover, the encryption time of the proposed method is satisfactory, and the method can be efficiently used in practice for the secure transmission of image information.http://dx.doi.org/10.1155/2022/3676265 |
| spellingShingle | Nehal Abd El-Salam Mohamed Aliaa Youssif Hala Abdel-Galil El-Sayed Fast and Robust Image Encryption Scheme Based on Quantum Logistic Map and Hyperchaotic System Complexity |
| title | Fast and Robust Image Encryption Scheme Based on Quantum Logistic Map and Hyperchaotic System |
| title_full | Fast and Robust Image Encryption Scheme Based on Quantum Logistic Map and Hyperchaotic System |
| title_fullStr | Fast and Robust Image Encryption Scheme Based on Quantum Logistic Map and Hyperchaotic System |
| title_full_unstemmed | Fast and Robust Image Encryption Scheme Based on Quantum Logistic Map and Hyperchaotic System |
| title_short | Fast and Robust Image Encryption Scheme Based on Quantum Logistic Map and Hyperchaotic System |
| title_sort | fast and robust image encryption scheme based on quantum logistic map and hyperchaotic system |
| url | http://dx.doi.org/10.1155/2022/3676265 |
| work_keys_str_mv | AT nehalabdelsalammohamed fastandrobustimageencryptionschemebasedonquantumlogisticmapandhyperchaoticsystem AT aliaayoussif fastandrobustimageencryptionschemebasedonquantumlogisticmapandhyperchaoticsystem AT halaabdelgalilelsayed fastandrobustimageencryptionschemebasedonquantumlogisticmapandhyperchaoticsystem |