Color image encryption via Henon-zigzag map and chaotic restricted Boltzmann machine over Blockchain

A color image encryption algorithm using the Henon-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 Henon-zigzag map-based permutation phase, zigzag map is used to modulate two pseudo-random number sequences generated by Henon map to obtain two new pseudorandom 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 block chain in digital image encryption.

Automated summary

This paper proposes a color image encryption algorithm using the Henon-zigzag map and CRBM, incorporating permutation and diffusion phases. Through a series of experiments and analysis, it demonstrates higher security compared to existing algorithms. Additionally, a novel image encryption/decryption system is introduced, utilizing blockchain for enhanced security and integrity verification.