关键词: Julia集, 模运算, 扩散, 图像加密

Abstract: As an important field in information security, image encryption algorithm has been a research focus. A novel image encryption algorithm combining with features of the classic fractal Julia sets is proposed. This algorithm utilizes Julia set to generate the random key and modulo operation method is used for image encryption, and then diffusion process is used twice to generate the encrypted image. Since Julia sets can be generated with only a few parameters, it can reduce the storage space greatly. In addition, Julia sets have infinite structures and chaotic properties. Even the slight disturbance of the parameters can change the key dramatically, which will lead to the wrong decryption of the image. The experimental results show that the algorithm has lager key space and more sensitivity for the key compared to the algorithm proposed by Rozouvan utilizing the Mandelbrot sets as the key. In particular, it can resist chosen-plaintext attack more efficiently.

Key words: Julia sets, modulo operation, diffusion, image encryption