An efficient image cipher based on the 1D scrambled image and 2D logistic chaotic map

Abstract

Researchers have paid increasing attention towards the usage of scrambled image for the image encryption in recent years. 2D and 3D scrambled images have already been employed to write the different image encryption algorithms. On the other hand, we need speedy and efficient ciphers to meet the rising demands of our society. The current study has used 1D scrambled image to develop a novel and a speedy image encryption algorithm. As the gray scale image is given to the encryption algorithm, its pixels are inserted randomly to the different positions of the scrambled image. This act has been iterated for a number of times. To throw the diffusion effects in the proposed cipher, Exclusive-OR (XOR) operation has been carried out. 2D logistic map has been selected for the chaotic vectors. First vector served the purpose of scrambling and the second one, the purpose of diffusion. The average time taken by the proposed image cipher is 0.0997 seconds, the information entropy of the cipher image came out to be 7.9975 and the number of pixels change rate (NPCR) is 99.6048%. Simulation and an exhaustive performance analyses depict that the proposed scheme has the desirable security effects and has the prospects for some real world application.