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Double random scrambling encoding in the RPMPFrHT domain

In this paper, a novel method of digital image encryption based on the reality-preserving multiple parameter fractional Hartley transform (RPMPFrHT) is proposed. Firstly, we define an RPMPFrHT that make sure the output of cryptosystem is real-value. Then, based on random address sequences generated by coupled logistic function, we propose the double random scrambling encoding scheme which scrambled an image in the spatial domain and the RPMPFrHT domain respectively. Our method can encrypt an original image into noise-like picture with real-value which is convenient for storage and transmission. Numerical simulations have been performed and demonstrated that the proposed image encryption method is effective and sensitive to keys. Moreover, some potential attacks have also been performed to verify the robustness of the proposed method.