Color image encryption via Hénon-zigzag map and chaotic restricted Boltzmann machine over Blockchain
•A random number generator, chaotic restricted Boltzmann machine (CRBM) is designed.•A color image encryption algorithm using the Hénon-zigzag map and CRBM is proposed.•Asymmetric image encryption system with tamper detection capability is designed. A color image encryption algorithm using the Hénon...
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| Vydáno v: | Optics and laser technology Ročník 135; s. 106610 |
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| Médium: | Journal Article |
| Jazyk: | angličtina |
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Elsevier Ltd
01.03.2021
Elsevier BV |
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| ISSN: | 0030-3992, 1879-2545 |
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| Abstract | •A random number generator, chaotic restricted Boltzmann machine (CRBM) is designed.•A color image encryption algorithm using the Hénon-zigzag map and CRBM is proposed.•Asymmetric image encryption system with tamper detection capability is designed.
A color image encryption algorithm using the Hénon-zigzag map and chaotic restricted Boltzmann machine (CRBM) is proposed in this paper. The proposed pseudo-random number generator, chaotic restricted Boltzmann machine (CRBM), can simultaneously generate three pseudo-random number sequences. The algorithm includes the permutation phase and the diffusion phase. In the Hénon-zigzag map-based permutation phase, zigzag map is used to modulate two pseudo-random number sequences generated by Hénon map to obtain two new pseudo-random number sequences. The mixing of these two chaotic maps makes the security of the permutation phase significantly improve. Subsequently the two pseudo-random number sequences are used for row permutation and column permutation, respectively. In the diffusion phase, through multiple iterations of CRBM of the 3 × 3 architecture, three pseudo-random number sequences are generated by the state values of three neurons in the visible layer. Then these three pseudo-random number sequences are used for bitxor operation with the R, G and B components of the scrambled image, respectively. A series of numerical experiments and analyses on encrypted images prove that the proposed algorithm is more secure than state-of-the-art algorithms. Furthermore, based on the combined use of blockchain and the proposed algorithm, a novel image encryption/decryption system is proposed. The system has two features: asymmetric encryption/decryption of images and authoritative verification of the integrity of encrypted images. It may provide a better understanding of blockchain in digital image encryption. |
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| AbstractList | A color image encryption algorithm using the Hénon-zigzag map and chaotic restricted Boltzmann machine (CRBM) is proposed in this paper. The proposed pseudo-random number generator, chaotic restricted Boltzmann machine (CRBM), can simultaneously generate three pseudo-random number sequences. The algorithm includes the permutation phase and the diffusion phase. In the Hénon-zigzag map-based permutation phase, zigzag map is used to modulate two pseudo-random number sequences generated by Hénon map to obtain two new pseudo-random number sequences. The mixing of these two chaotic maps makes the security of the permutation phase significantly improve. Subsequently the two pseudo-random number sequences are used for row permutation and column permutation, respectively. In the diffusion phase, through multiple iterations of CRBM of the 3 x 3 architecture, three pseudo-random number sequences are generated by the state values of three neurons in the visible layer. Then these three pseudo-random number sequences are used for bitxor operation with the R, G and B components of the scrambled image, respectively. A series of numerical experiments and analyses on encrypted images prove that the proposed algorithm is more secure than state-of-the-art algorithms. Furthermore, based on the combined use of blockchain and the proposed algorithm, a novel image encryption/decryption system is proposed. The system has two features: asymmetric encryption/decryption of images and authoritative verification of the integrity of encrypted images. It may provide a better understanding of blockchain in digital image encryption. •A random number generator, chaotic restricted Boltzmann machine (CRBM) is designed.•A color image encryption algorithm using the Hénon-zigzag map and CRBM is proposed.•Asymmetric image encryption system with tamper detection capability is designed. A color image encryption algorithm using the Hénon-zigzag map and chaotic restricted Boltzmann machine (CRBM) is proposed in this paper. The proposed pseudo-random number generator, chaotic restricted Boltzmann machine (CRBM), can simultaneously generate three pseudo-random number sequences. The algorithm includes the permutation phase and the diffusion phase. In the Hénon-zigzag map-based permutation phase, zigzag map is used to modulate two pseudo-random number sequences generated by Hénon map to obtain two new pseudo-random number sequences. The mixing of these two chaotic maps makes the security of the permutation phase significantly improve. Subsequently the two pseudo-random number sequences are used for row permutation and column permutation, respectively. In the diffusion phase, through multiple iterations of CRBM of the 3 × 3 architecture, three pseudo-random number sequences are generated by the state values of three neurons in the visible layer. Then these three pseudo-random number sequences are used for bitxor operation with the R, G and B components of the scrambled image, respectively. A series of numerical experiments and analyses on encrypted images prove that the proposed algorithm is more secure than state-of-the-art algorithms. Furthermore, based on the combined use of blockchain and the proposed algorithm, a novel image encryption/decryption system is proposed. The system has two features: asymmetric encryption/decryption of images and authoritative verification of the integrity of encrypted images. It may provide a better understanding of blockchain in digital image encryption. |
| ArticleNumber | 106610 |
| Author | Feixiang, Zhao Hong, Zhang Mingzhe, Liu Kun, Wang |
| Author_xml | – sequence: 1 givenname: Zhao surname: Feixiang fullname: Feixiang, Zhao email: zhaofeixiang@cdut.edu.cn – sequence: 2 givenname: Liu surname: Mingzhe fullname: Mingzhe, Liu email: liumz@cdut.edu.cn – sequence: 3 givenname: Wang surname: Kun fullname: Kun, Wang email: wangkun@cdut.edu.cn – sequence: 4 givenname: Zhang surname: Hong fullname: Hong, Zhang email: 2019050648@stu.cdut.edu.cn |
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| Snippet | •A random number generator, chaotic restricted Boltzmann machine (CRBM) is designed.•A color image encryption algorithm using the Hénon-zigzag map and CRBM is... A color image encryption algorithm using the Hénon-zigzag map and chaotic restricted Boltzmann machine (CRBM) is proposed in this paper. The proposed... |
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| SubjectTerms | Algorithms Blockchain Chaotic map Chaotic restricted Boltzmann machine Color imagery Cryptography Digital imaging Encryption Image encryption Numbers Permutations Pseudorandom Random numbers Sequences |
| Title | Color image encryption via Hénon-zigzag map and chaotic restricted Boltzmann machine over Blockchain |
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