Image Encryption Algorithm Based on Five-dimensional Hyperchaotic System and Arnold Transform
XU Jiacheng
WANG Tao
Abstract:To address the problems of small key space,lower complexity and security of low-dimensional chaotic systems due to their simple structure when performing image encryption,an image encryption algorithm based on a five-dimensional hyperchaotic system with Arnold transform was proposed.Using the pseudo-randomness and initial value sensitivity of the chaotic system,the algorithm set one initial value increment for the chaotic system,and each cycle allowed the chaotic system to generate different chaotic pseudo-random sequences,which decided the Arnold transform rule and the dissimilarity matrix according to the chaotic pseudo-random sequences generated by the current cycle,and finally completed the scrambling and diffusion operations on the original image,and then encrypted it to obtain the encrypted image by several cycles.The theoretical analysis and experimental results showed that the key space of the algorithm was far larger than 2100 and the key sensitivity was high,which had some resistance to shear and noise attacks.The information entropy of the encrypted image was close to the ideal value and the correlation of adjacent pixels was significantly reduced.The algorithm has good encryption performance and attack resistance and provides a viable option for image encryption.
Keywords:five-dimensional hyperchaotic systemArnold transformimage encryptionchaotic pseudo-random sequenceencryption performanceanti-attack ability
Publication Date:2024-12-20
Online Publishing Date:2025-08-15(First online date of this platform, not the publication date of the document)
Pages:9( 486-493,550 )
