Abstract: The RGB components of a color image are multiplexed through elementary mathematical steps. Subsequently the single-channel multiplexed image is encrypted by the double random phase based on the fractional Hartley transform. The ciphertext of this encryption algorithm is not a color image but a complex matrix. It is shown that the encryption algorithm has a simple encryption process, enough keys to be chosen with large key space and high security.

Key words: image encryption, fractional Hartley transform, multiplexing technique, double random phase

摘要： 通过初等数学运算对彩色图像的RGB三个分量进行复用，并结合基于分数哈特莱变换的双随机相位对其进行单通道加密。加密算法的密文不是一幅彩色图像，而是一复数矩阵。研究表明，该加密算法加密过程简单，密钥选择性大，且有较大的密钥空间和较高的安全性。

关键词: 图像加密, 分数哈特莱变换, 复用技术, 双随机相位