关键词: 分数傅里叶变换, 多图像加密, 混沌图, 相位恢复

Abstract: Multiple-image encryption scheme based on the Phase Retrieval Algorithm（PRA） in Fractional Fourier Transform（FrFT） domain is proposed. A set of parallel images as amplitude part of complex-value images are encrypted into a chaotic picture with different orders；the phase keys are achieved from nonlinear encryption process and determined by different plaintexts, the known-plaintext attacks, chosen-plaintext attacks and chosen-ciphertext attacks can be avoided in this method. All images can be extracted independently from the chaotic picture which is recovered from chaotic system with enough encryption capacity. Numerical simulation results demonstrate the feasibility, effectiveness and security of the proposed method.

Key words: fractional Fourier transform, multiple-image encryption, chaotic picture, phase retrieval