Abstract: In the field of image encryption and decryption, in order to solve the problem of small key space in the encryption process caused by low dimension of one-dimensional chaotic map and few initial values and control parameters, the present disclosure provides an image encryption and decryption communication algorithm based on two-dimensional lag complex Logistic map, which expands the variables of one-dimensional Logistic map from the real number domain to the complex number domain, improves the dimension of the mapping system, increases the number of keys, and expands the mapping range, wherein the new mapping system is more sensitive to small disturbances of initial values and parameters, which can break the strong correlation between pixels in the original image, so that the pixels of the encrypted image are uniformly distributed in the whole plane, and the features of the original image are hidden.

Abstract: In the field of image encryption and decryption, in order to solve the problem of small key space in the encryption process caused by low dimension of one-dimensional chaotic map and few initial values and control parameters, the present disclosure provides an image encryption and decryption communication algorithm based on two-dimensional lag complex Logistic map, which expands the variables of one-dimensional Logistic map from the real number domain to the complex number domain, improves the dimension of the mapping system, increases the number of keys, and expands the mapping range, wherein the new mapping system is more sensitive to small disturbances of initial values and parameters, which can break the strong correlation between pixels in the original image, so that the pixels of the encrypted image are uniformly distributed in the whole plane, and the features of the original image are hidden.