Higher Dimensional Chaotic Linear Transformations of Colored Image Encryptions

Abstract

In this study, a well-known chaotic transformation namely Arnold’s CAT map is used to extend 2-dimensional mapping to a higher dimension. This extension is achieved by means of the planar extension and Multinacci series. The demonstration of a 3-dimensional Arnold’s CAT map is performed by RGB component substitution of a colored image. For this purpose, the colored image is converted from a standard RGB space into an intensity-hue-saturation (IHS) space. Consequently, both Chebyshev and Hadamard map is employed for encryption of the intensity component. Besides, CAT map is engaged to encrypt the hue and saturation components. According to the results, the proposed method has a great potential to be an efficient tool for data encryption.