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Double-image encryption based on discrete fractional random transform and chaotic maps

机译：基于离散分数随机变换和混沌映射的双图像加密

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A novel double-image encryption algorithm is proposed, based on discrete fractional random transform and chaotic maps. The random matrices used in the discrete fractional random transform are generated by using a chaotic map. One of the two original images is scrambled by using another chaotic map, and then encoded into the phase of a complex matrix with the other original image as its amplitude. Then this complex matrix is encrypted by the discrete fractional random transform. By applying the correct keys which consist of initial values, control parameters, and truncated positions of the chaotic maps, and fractional orders, the two original images can be recovered without cross-talk. Numerical simulation has been performed to test the validity and the security of the proposed encryption algorithm. Encrypting two images together by this algorithm creates only one encrypted image, whereas other single-image encryption methods create two encrypted images. Furthermore, this algorithm requires neither the use of phase keys nor the use of matrix keys. In this sense, this algorithm can raise the efficiency when encrypting, storing or transmitting.
机译：提出了一种基于离散分数随机变换和混沌映射的双图像加密算法。离散分数随机变换中使用的随机矩阵是通过使用混沌映射生成的。通过使用另一个混沌图对两个原始图像之一进行加扰，然后以另一个原始图像作为幅度将其编码为一个复数矩阵的相位。然后，通过离散分数随机变换对该复杂矩阵进行加密。通过应用由初始值，控制参数和混沌图的截断位置以及分数阶组成的正确键，可以恢复两个原始图像而不会产生串扰。已经进行了数值模拟，以测试所提出的加密算法的有效性和安全性。通过此算法将两个图像一起加密只能创建一个加密图像，而其他单图像加密方法可以创建两个加密图像。此外，该算法既不需要使用相位密钥，也不需要使用矩阵密钥。从这个意义上讲，该算法可以提高加密，存储或传输时的效率。

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