A color image privacy scheme established on nonlinear system of coupled differential equations

In this manuscript, an encryption technique is developed using a coupled chaotic system of differential equations. The lengthy process of recurring rounds of encryption consumes more space and time on the computing systems demands simple but yet applicable scheme of image encryption, which opens the gateway of the utilization of complex and nonlinear chaotic systems. The proposed image encryption procedure is fast as implementation is concerned because of containing only one round, furthermore, it is found resistant against any type of differential and linear attacks due to the large keyspace and involvement of complex mathematical systems. The third order nonlinearity of Rabinovich-Fabrikant (RF) system of differential equations generates rich and complex chaotic dynamics. Initially, this system is used to generate three chaotic sequences of pseudorandom numbers from the numerical solution of RF system. Then, a color image being converted into three layers is passed from three mathematical operations i.e. XOR, permutation and substitution to create confusion and diffusion in them to generate enciphered image. Moreover, encrypted images successfully passed the NIST SP-800 test and encryption analyses like correlation, histogram and information entropy etc.