Abstract In this paper, a new image encryption algorithm was proposed based on the Chua's multi-scroll chaotic circuit system. In comparison with other classical discrete systems, the new multi-scroll system has higher complexity, thus it was more suitable for the design of the image encryption algorithm. The correlation of the adjacent pixels was greatly eliminated by using the Arnold cat transformation. According to the scroll number of the multi-scroll chaotic system on x-y direction, parameter p and q of the Arnold transformation can be determined. Especially, the pixel value of the ciphered image of the new random diffusion algorithm depends on two random non-adjacent pixels and the interference value of the multi-scroll chaotic system, it significantly reduced the correlation between the adjacent pixels, and it greatly increases the ability to resist deciphering. The experimental results show that the encryption effect of the ciphered image were significantly higher than that of other encryption algorithms. It provided a data support and theoretical direction for the research of the related cryptography fields.

中文翻译：

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一种新的基于多滚动蔡氏混沌电路系统的随机扩散算法

摘要 本文基于蔡氏多卷轴混沌电路系统，提出了一种新的图像加密算法。与其他经典离散系统相比，新的多滚动系统具有更高的复杂度，更适合图像加密算法的设计。使用阿诺德猫变换极大地消除了相邻像素的相关性。根据多涡旋混沌系统在xy方向上的涡旋数，可以确定Arnold变换的参数p和q。特别是新随机扩散算法的加密图像的像素值依赖于两个随机不相邻像素和多滚动混沌系统的干扰值，显着降低了相邻像素之间的相关性，并且大大增加了抗破译的能力。实验结果表明，加密图像的加密效果明显高于其他加密算法。为相关密码学领域的研究提供了数据支持和理论指导。