基于三维Arnold的Logistic混沌系统图像加密

Image encryption of logistic chaotic system based on 3D arnold

为解决现有Arnold映射与Logistic混沌结合处理图像加密算法暴露的安全性问题,提出一种三维Arnold映射与量子Logistic混沌相结合的图像加密算法。算法首先将控制系数和明文关联起来并参与到每个加密步骤中以增加明文相关度,再利用三维Arnold映射生成的混沌序列对图像置乱,最后量子Logistic混沌产生的伪随机序列与置乱图像异或运算实现图像扩散。该算法通过仿真实验得到加密图像各方向相关性系数接近于0,信息熵结算结果为7.9971,差分攻击评价指标像素改变率和同一平均变化强度分别为99.60%和33.48%,都非常接近于理论值。实验结果体现出多个高维混沌映射结合的高复杂度,显示出加密算法执行效率高、密钥空间大,具有很高的安全性和随机性。

Aiming at the security problem of image encryption algorithm combined with existing Arnold mapping and Logistic chaos, an image encryption algorithm combining 3 D Arnold mapping and quantum Logistic chaos is proposed. The algorithm first associates the control coefficient with the plaintext and participates in each encryption step to increase the plaintext correlation. Then, the chaotic sequence generated by the three-dimensional Arnold map is used to scramble the image. Finally, the pseudo-random sequence and the scrambled image generated by the quantum logistic chaos XOR operation achieves image diffusion. The simulation results show that the correlation coefficient of each direction of the encrypted image is close to 0, the information entropy settlement result is 7.997 1, and the differential attack evaluation index pixel change rate and the same average change intensity are 99.60% and 33.48%, respectively, which are very close to the theoretical value. The experimental results show the high complexity of multiple high-dimensional chaotic maps, which shows that the encryption algorithm has high execution efficiency, large key space, and high security and randomness.