Integrated Time-Fractional Diffusion Processes for Fractional-Order Chaos-Based Image Encryption.

Fudong Ge,Zufa Qin,Yangquan Chen

doi:10.3390/s21206838

Abstract

The purpose of this paper is to explore a novel image encryption algorithm that is developed by combining the fractional-order Chua’s system and the 1D time-fractional diffusion system of order . To this end, we first discuss basic properties of the fractional-order Chua’s system and the 1D time-fractional diffusion system. After these, a new spatiotemporal chaos-based cryptosystem is proposed by designing the chaotic sequence of the fractional-order Chua’s system as the initial condition and the boundary conditions of the studied time-fractional diffusion system. It is shown that the proposed image encryption algorithm can gain excellent encryption performance with the properties of larger secret key space, higher sensitivity to initial-boundary conditions, better random-like sequence and faster encryption speed. Efficiency and reliability of the given encryption algorithm are finally illustrated by a computer experiment with detailed security analysis.

Highlights

Sensors 2021, 21, 6838. https://Owing to the rapid development of internet and multimedia technologies, a great number of images have been used in various applications
Among them, chaosbased encryption, which was first explored by Matthews in [3], is considered as one of the most excellent encryption methods in consequence of the good property of chaos, such as high sensitivity to initial value conditions, state ergodicity and nonconvergence [4,5,6]
Motivated by the above consideration, this paper aims to come up with a novel image encryption algorithm that is proposed by combining the fractional-order Chua’s system and the time-fractional diffusion systems of order α ∈

Summary

Introduction

Sensors 2021, 21, 6838. https://Owing to the rapid development of internet and multimedia technologies, a great number of images have been used in various applications. Among them, chaosbased encryption, which was first explored by Matthews in [3], is considered as one of the most excellent encryption methods in consequence of the good property of chaos, such as high sensitivity to initial value conditions, state ergodicity and nonconvergence [4,5,6] Based on these advantages, some more complex encryption schemes consisting of chaos and other ways, such as information entropy [7], mixed linear–nonlinear coupled map lattice [8], a pseudo-random numbers generator [9] or the genetic algorithm [10] have been investigated.

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Conclusion