Image steganography based on a new hybrid chaos map and discrete transforms

With the development of Internet networks, the importance of information security is becoming more and more significant. Therefore, it is considered necessary to study the existing methods in order to develop them for creating more suitable approaches. Due to the fact that, in the most communication networks image is one of the most popular and widely used communication formats, the method presented in this paper is the image steganography method in transform domain. In order to enhance the image transfer, first of all, we have introduced a hybrid chaotic map based on the sine and Logistic-Tent systems by applying radical function and a variety of trigonometric functions. Furthermore, we have represented some new kinds of shift operators for shuffling pixel positions of the cover image in order to improve resistance of the algorithm against different kinds of attacks. In the proposed algorithms, we have also applied discrete framelet and wavelet transforms on secret and cover images, respectively. To show the ability of the proposed algorithm, the results have been evaluated.