2D Chebyshev-Sine Map for Image Encryption

Abstract

Chaotic systems are extremely sensitive to initial conditions and system parameters, ergodicity, unpredictable, which are applied to the field of image encryption widely. This paper proposes a new scheme of combining chaos theory and image encryption–2D Chebyshev-Sine map. Through the analysis of the trajectory contours mapping and other chaos mappings, the method has a wide range of chaos and good ergodicity. And it is sensitive to initial conditions and system parameters, which cost relatively low. On this basis, a linear mixed layer image encryption algorithm is proposed. In this algorithm, row shift and column mixing are used to change the pixel space position and pixel frequency domain, And the diffusion principle of Chinese remainder theorem is applied. The results of simulation and analysis show that this encryption algorithm has low time efficiency, relatively high security, resistance to differential attack and performance against selective plaintext attack.