2D-SCMCI Hyperchaotic Map for Image Encryption Algorithm

Abstract

Chaos has unpredictability and initial condition sensitivity, which known as a best candidate for cryptography application. However, there are many defects for the existing chaotic cryptography systems due to the use of chaotic maps that without complexity dynamic properties. To overcome these weaknesses, this work designed a 2D-SCMCI hyperchaotic map based on Cascade Modulation Couple (CMC) and two 1D-chaotic map. The dynamic characteristics of the 2D-SCMCI hyperchaotic map are analyzed through attractor trajectory, 0–1 test, bifurcation diagram, Lyapunov exponents and spectrum entropy (SE) complexity. The results of analysis indicate that 2D-SCMCI hyperchaotic map has rich dynamic performance and randomness, which illustrates that it is more suitable for image encryption algorithm. Therefore, an image encryption algorithm is proposed by 2D-SCMCI hyperchaotic map. In encryption algorithm, the image is scrambled by row and column, forward and backward diffusion are used to diffuse image pixel values. The security performances analysis results indicate that the introduced algorithm has better security characteristics.