Hyperchaotic Image Encryption Based on Multiple Bit Permutation and Diffusion.

Taiyong Li,Duzhong Zhang

doi:10.3390/e23050510

Abstract

Image security is a hot topic in the era of Internet and big data. Hyperchaotic image encryption, which can effectively prevent unauthorized users from accessing image content, has become more and more popular in the community of image security. In general, such approaches conduct encryption on pixel-level, bit-level, DNA-level data or their combinations, lacking diversity of processed data levels and limiting security. This paper proposes a novel hyperchaotic image encryption scheme via multiple bit permutation and diffusion, namely MBPD, to cope with this issue. Specifically, a four-dimensional hyperchaotic system with three positive Lyapunov exponents is firstly proposed. Second, a hyperchaotic sequence is generated from the proposed hyperchaotic system for consequent encryption operations. Third, multiple bit permutation and diffusion (permutation and/or diffusion can be conducted with 1–8 or more bits) determined by the hyperchaotic sequence is designed. Finally, the proposed MBPD is applied to image encryption. We conduct extensive experiments on a couple of public test images to validate the proposed MBPD. The results verify that the MBPD can effectively resist different types of attacks and has better performance than the compared popular encryption methods.

Highlights

In the current era of Internet and big data, billions of images are produced, stored and transmitted every day
Motivated by the above analysis, this paper proposes multiple bit permutation and diffusion, namely MBPD, for hyperchaotic image encryption
In addition to the proposed 4D hyperchaotic system and the extensive experiments, the major contribution of the paper lies in proposing a novel multiple bit permutation and diffusion scheme for image encryption

Summary

Introduction

In the current era of Internet and big data, billions of images are produced, stored and transmitted every day. How to protect image content from illegal acquisition, especially for military, medical, and privacy purposes, has become a hot topic in recent years. Various chaos-based image encryption approaches have emerged and they have been demonstrated very effective in improving image security. The reason why chaotic image encryption has become so popular is that chaotic systems have some characteristics that are very suitable for image encryption, such as extreme sensitivity to initial values, unpredictability, pseudorandomness, and ergodicity [1,2,3]. Chaotic sequences are generated from the chaotic systems and they usually are applied to change the positions and/or values of image data. Schemes usually used single low-dimensional chaotic systems, such as Logistic map, Tent map, Baker map, Cat map, etc., to encrypt images [4,5,6,7,8].

Results

Discussion

Conclusion