Color image encryption via Hénon-zigzag map and chaotic restricted Boltzmann machine over Blockchain. (March 2021)

• Record Type: Journal Article
• Authors: Feixiang, Zhao; Mingzhe, Liu; Kun, Wang; Hong, Zhang
• Is Part Of: Optics & laser technology. Volume 135(2021)
• Publication Date: 2021-03
• Subjects: Image encryption -- Chaotic map -- Chaotic restricted Boltzmann machine -- Blockchain; Optics -- Periodicals; Lasers -- Periodicals; Electronic journals; 621.366
• DOI: 10.1016/j.optlastec.2020.106610
• Languages: English
• ISSNs: 0030-3992

Abstract

Highlights: 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. Abstract: 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.