Analysis of DNA Image Encryption Effect by Logistic-Sine System Combined with Fractional Chaos Stability Theory

摘要

To explore the DNA image encryption method based on the Logistic-sine system and the fractional-order chaos stability theory, a fractional-order fuzzy differential equation is first introduced to construct a chaotic synchronization system. Then the green, blue, and red primary color matrix is established to design new DNA image encryption, and the encryption process is explained. Next, a data encryption algorithm and an advanced encryption algorithm are introduced to perform simulation experiments on the MATLAB 2014 software platform. It is found that the images encrypted by the new algorithm all exhibit striped snowflakes, and after decryption, it is almost the same as the original image. The histogram of the image encrypted by the new algorithm is flat, which is very different from the original image histogram. The average pixel change rate of the image encrypted by the new algorithm is 99.6267%, and the average change intensity reaches 33.5183%. The average information entropy of the image encrypted by the new algorithm is 7.9624, which is close to the upper limit of 8. The calculation time and occupied space of the new algorithm are less than those of the data encryption algorithm and the advanced encryption algorithm. This result shows that the DNA image encryption algorithm based on the Logistic-sine system and the fractional-order chaos stability theory has excellent performance and can provide a certain theoretical basis for research in the field of digital image encryption. (C) 2020 Society for Imaging Science and Technology.