Chaotic image encryption algorithm based on R-order Chebyshev composite map

Yan Kong, Liyong Bao, Hongwei Ding, Zheng Guan, Jianchao Tang · Thirteenth International Conference on Graphics and Image Processing (ICGIP 2021) · 2022

Aiming at the problems of limited parameter range of traditional one-dimensional mapping, narrow chaotic range, and insufficient complexity, this paper proposes a compound mapping based on R-order Chebyshev. The Lyapunov exponent, uniformity and complexity analysis of the R-order compound Chebyshev map are performed, and the NIST randomness test is performed on it to verify its good randomness. The R-order Chebyshev composite map is applied to the scrambling and diffusion stages of the image encryption system. Through comparative research with other encryption algorithms, the image encryption algorithm proposed in this paper has high security and can effectively resist common attacks

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