Nonlinear Double-Image Encryption in Cylindrical Diffraction-Based Scheme by Aid of Position Multiplexing

Abstract

Conventional phase-truncation-based double-image encryption (PT-DIE) scheme suffers from the phase retrieval algorithm-based attack, and information disclosure issue. In this paper, we introduce cylindrical diffraction and position multiplexing into the PT-DIE scheme. Through position multiplexing, double-image are integrated together. Then the integrated image is encoded into a real-valued cyphertext and two phase-only keys (POKs) by cylindrical diffraction. The decrypted images are acquired with two POKs by inverse cylindrical diffraction, and because of that, the phase retrieval algorithm-based attack and the information disclosure issue have been thoroughly conquered from a theoretical and experimental point of view. Furthermore, the proposed scheme can be extended to encode multi-image without changing original system architecture, and incurring additional computing burden. Simulation results have been manifested the validity and the security of the proposed scheme.INDEX TERMS Nonlinear images encryption, position multiplexing, cylindrical diffraction, information disclosure, phase retrieval attack.

A Multi-Image Encryption with Super-Lager-Capacity Based on Spherical Diffraction and Filtering Diffusion

“…However, because of the linear symmetry of DRPE technology [9], it is proved to be vulnerable to the known-plaintext attack [10] and chosen-plaintext attack [11]. To improve security, several nonlinear cryptosystems are proposed to improve the weaknesses of traditional symmetric cryptosystems, such as Fresnel domain [12], cylindrical diffraction transform [13][14][15], gyrator transform domain [16], and fractional Mellin transform [17]. However, these image encryption methods are usually applied to encrypt one image, which has made it challenging to meet the growing information needs.…”