Double image encryption based on the random fractional transform

This paper proposes a method for double image encryption based on a proposed random fractional transform. Firstly, we produce a pseudorandom sequence to randomize the eigenvalue of the discrete fractional Fourier transform based on logistic map. Secondly, a random matrix is produced based on two-dimension logistic map. Then, the eigenvector of the proposed random matrix is used to replace the eigenvector of the discrete fractional Fourier transform. At the last, we present a double image encryption algorithm based on the proposed random fractional transform. Numerical simulations have been performed to verify the efficiency of the proposed algorithm.