A new substitution–diffusion based image cipher using chaotic standard and logistic maps

• Published in: Communications in nonlinear science & numerical simulation Vol. 14; no. 7; pp. 3056 - 3075
• Main Authors: Patidar, Vinod, Pareek, N.K., Sud, K.K.
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.07.2009
• Subjects: Chaos theory; Chaotic key stream; Chaotic standard map; Confusion; Diffusion; Image encryption; Logistic map; Logistics; Security; Substitution–diffusion; Substitution–diffusion; 05.45.Ac; Image encryption; Logistic map; 05.45.−a; 05.10.−a; Chaotic standard map; Chaotic key stream
• ISSN: 1007-5704; 1878-7274
• DOI: 10.1016/j.cnsns.2008.11.005

In this paper, we propose a new loss-less symmetric image cipher based on the widely used substitution–diffusion architecture which utilizes chaotic standard and logistic maps. It is specifically designed for the coloured images, which are 3D arrays of data streams. The initial condition, system parameter of the chaotic standard map and number of iterations together constitute the secret key of the algorithm. The first round of substitution/confusion is achieved with the help of intermediate XORing keys calculated from the secret key. Then two rounds of diffusion namely the horizontal and vertical diffusions are completed by mixing the properties of horizontally and vertically adjacent pixels, respectively. In the fourth round, a robust substitution/confusion is accomplished by generating an intermediate chaotic key stream (CKS) image in a novel manner with the help of chaotic standard and logistic maps. The security and performance of the proposed image encryption technique has been analyzed thoroughly using various statistical analysis, key sensitivity analysis, differential analysis, key space analysis, speed analysis, etc. Results of the various types of analysis are encouraging and suggest that the proposed image encryption technique is able to manage the trade offs between the security and speed and hence suitable for the real-time secure image and video communication applications.