Study on Image Encryption Algorithm Based on Jacobian Elliptic Chaotic Map
Han K · 2014
Due to the chaotic maps producing the transient effect,and the defects such as small key space and low security existing in current chaotic map encryption algorithm,the Jacobian elliptic map was proposed in this paper to encrypt the image and introduce the permutation method of position set as well as encryption transformation function into the encryption algorithm. The plain-image matrix was transformed into one dimension matrix; and then input the initial key,using the Jacobean elliptic map to iterate to eliminate the transient effect. The encryption transformation function and initial condition were used to modify the initial key,the new key was used to iterate the Jacobean elliptic map one time to obtain the one-dimension array,and the one-dimension array was treated by position set permutation method to permute the initial image. Use the key stream mechanism to treat the one-dimension array to obtain one new sequence for encrypting the elements of permutation-image by encryption transformation function. Finally,the MATLAB simulation platform was used to test this algorithm,and the results show that this algorithm has a higher security.