A hybrid heuristic algorithm to improve known-plaintext attack on Fourier plane encryption

Abstract

A hybrid heuristic attack scheme that combines the hill climbing algorithm and the simulated annealing algorithm is proposed to speed up the search procedure and to obtain a more accurate solution to the original key in the Fourier plane encryption algorithm. And a unit cycle is adopted to analyze the value space of the random phase. The experimental result shows that our scheme can obtain more accurate solution to the key that can achieve better decryption result both for the selected encrypted image and another unseen ciphertext image. The searching time is significantly reduced while without any exceptional case in searching procedure. For an image of 64x64 pixels, our algorithm costs a comparatively short computing time, about 1 minute, can retrieve the approximated key with the normalized root mean squared error 0.1, therefore, our scheme makes the known-plaintext attack on the Fourier plane image encryption more practical, stable, and effective.

Nonlinear optical security system based on a joint transform correlator in the Fresnel domain

“…The KPA tries to find the RPM key of the encryption system. This KPA is an iterative process that is based on a heuristic hybrid algorithm [39,40] and the Gerchberg-Saxton (GS) algorithm [41]. The heuristic hybrid algorithm produces a first key based on an initial guess of the RPM key and a plaintext with its corresponding ciphertext (encrypted image).…”

Choice of optical system is critical for the security of double random phase encryption systems

“…In addition to this conventional technique, some of its extensions have also been examined in the fractional Fourier domain [8], the Fresnel transform domain [9], the Hartley transform [10], and the Arnold transform based encoding systems [11]. Furthermore, optical encryption techniques can also be implemented as a cryptographic algorithm (i.e., numerical approximations) and such implementations were shown to be vulnerable to some organized attacks [12][13][14][15].…”

A review of optical image encryption techniques

“…Furthermore, two dimensional optical encryption processing has been extended into a three dimensional spacebased encryption processing, where each pixel of the image is axially considered as one particle and phase-shifting digital holography technique is applied to the diffraction of all pixels in space (particles) [71][72][73][74]. In the context of cryptography and cryptoanalysis, both chosen-plaintext [60] and known-plaintext attack [75][76][77] on DRPE have been examined, as have several other attacking methods [78][79][80][81][82] and the key space of DRPE technique itself [83][84][85][86] has also been analysed.…”