Improved method of attack on an asymmetric cryptosystem based on phase-truncated Fourier transform

TLDR: An improved method of attack on an asymmetric cryptosystem based on a phase-truncated Fourier transform is proposed, which not only enhances the security of the system but also does not require truncated phases.

Abstract: We propose an improved method of attack on an asymmetric cryptosystem based on a phase-truncated Fourier transform. With the proposed method of attack, an attacker is able to access the exact decryption keys and obtain precise attack results. The method is based on a novel median-filtering phase-retrieval algorithm. Compared with existing attacks, the proposed attack has the following advantages: (1) exact information of the original image can be obtained in gray-scale and binary forms; (2) better computing efficiency; (3) more robust against noise and occlusion contaminations. Numerical simulation results show the effectiveness and robustness of the proposed method. Based on the proposed method of attack, we further propose a new cryptosystem, which not only enhances the security of the system but also does not require truncated phases.