A novel image encryption algorithm based on fractional order 5D cellular neural network and Fisher-Yates scrambling

Xingyuan Wang, Yining Su, Chao Luo, Chunpeng Wang · PLoS ONE · 2020

This paper proposes a new chaotic image encryption algorithm.Firstly, an original phased composite chaotic map is used.The comparative study shows that the map cryptographic characteristics are better than the Logistic map, and the map is used as the controller of Fisher-Yates scrambling.Secondly, with the higher complexity of the fractional-order fivedimensional cellular neural network system, it is used as a diffusion controller in the encryption process.And mix the secret key, mapping and plaintext, we can obtain the final ciphertext.Finally, the comparative experiments prove that the proposed algorithm improves the encryption efficiency, has good security performance, and can resist common attack methods. InstructionWith the rapid development of the computer industry, more and more multimedia information needs to ensure its encryption status during transmission to prevent others from gaining privacy and conduct improper behavior.Digital images, because of their large data volume and high data correlation, combined with information image and vividness, have become one of the important means for people to express information.A good encryption algorithm for images is very necessary.Double random phase coding (DRPE) [1] technology provides a theoretical basis for many subsequent optical encryption systems, but it is vulnerable to attack [2].Therefore many experts have proposed optical image encryption based on Fresnel transform domain [3], gyration transform domain [4], fractional Merlin transform domain [5].For example, Zhou et al. proposed an image compression encryption algorithm based on compressed sensing and fractional Merlin transform.In order to reduce the problems caused by linear characteristics, chaos is a theoretical system sensitive to initial value conditions, just meets people's expectations of passwords in the encryption process.Especially in recent times, chaotic encryption systems are increasingly used for image encryption [6-10].For example, Ye et al. used the Logic-tent map for visually meaningful image encryption.Chaos is a complex nonlinear dynamic system.Chaotic phenomena are a kind of random process in nonlinear deterministic systems.Because chaotic signals have noise-like, initial

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