Novel Models of Image Permutation and Diffusion Based on Perturbed Digital Chaos

Abstract

Most of chaos-based cryptosystems utilize stationary dynamics of chaos for the permutation and diffusion, and many of those are successfully attacked. In this paper, novel models of the image permutation and diffusion are proposed, in which chaotic map is perturbed at bit level on state variables, on control parameters or on both. Amounts of perturbation are initially the coordinate of pixels in the permutation, the value of ciphered word in the diffusion, and then a value extracted from state variables in every iteration. Under the persistent perturbation, dynamics of chaotic map is nonstationary and dependent on the image content. The simulation results and analyses demonstrate the effectiveness of the proposed models by means of the good statistical properties of transformed image obtained after just only a single round.

Chaos in the Real World: Recent Applications to Communications, Computing, Distributed Sensing, Robotic Motion, Bio-Impedance Modelling and Encryption Systems

“…Under persistent perturbations, the dynamics of the chaotic map prove to be nonstationary, thus providing advantages in image permutation and diffusion based on cryptography. Simulation results using a logistic map have clearly demonstrated the effectiveness of the conceived approach [5].…”

“…To this purpose, a number of interesting papers have been published in the years 2018-2020. For example, in [5], new architectures of perturbed digital chaos for image permutation and diffusion have been proposed. The chaotic dynamics is perturbed at bit level using perturbation on state variables and/or on control parameters [5].…”

“…For example, in [5], new architectures of perturbed digital chaos for image permutation and diffusion have been proposed. The chaotic dynamics is perturbed at bit level using perturbation on state variables and/or on control parameters [5]. Under persistent perturbations, the dynamics of the chaotic map prove to be nonstationary, thus providing advantages in image permutation and diffusion based on cryptography.…”

“…The manuscript is organized as follows. In Section 2 the applications of chaos to communications are illustrated [2][3][4][5][6][7][8][9][10][11][12], including the use of chaos in radar-based systems and underwater acoustic channels. Section 3 highlights how chaos may represent a promising approach in sensing applications [13], whereas Section 4 illustrates different applications of chaos in robotic motion [14][15][16].…”

Designing Two Secure Keyed Hash Functions Based on Sponge Construction and the Chaotic Neural Network

“…At first, some designers combine both these systems (chaos and neural network) in the Merkle–D mgard structure to build robust CNN hash functions [ 9 , 10 ]. In our previous work [ 2 ], Abdoun et al.…”