A novel fractional order chaos-based image encryption using Fisher Yates algorithm and 3-D cat map

Abstract

This paper presents a novel image encryption scheme using 3-D Arnold cat map and Fisher-Yates shuffling algorithm. A plain image is divided into various slices of equal size and then the 3-D representation of the image is shuffled by the 3-D chaotic map. A fractional order system of nonlinear differential equations is used to implement the diffusion in the intensity values of the shuffled image pixels. The solution of this fractional order system develops a strange attractor which is the onset of the chaos. Fisher-Yates is used to make a chaotic matrix which is used for arranging the data points. Experimental results are given on various images with comprehensive analysis which demonstrates the high security and sensitivity of the scheme.