IMAGE ENCRYPTION TECHNOLOGY BASED ON FRACTIONAL TWO-DIMENSIONAL DISCRETE CHAOTIC MAP ACCOMPANIED WITH MENEZES-VANSTONE ELLIPTIC CURVE CRYPTOSYSTEM-Reference-Cited by-同舟云学术

IMAGE ENCRYPTION TECHNOLOGY BASED ON FRACTIONAL TWO-DIMENSIONAL DISCRETE CHAOTIC MAP ACCOMPANIED WITH MENEZES-VANSTONE ELLIPTIC CURVE CRYPTOSYSTEM

Published:2021-03-25 Issue:03 Volume:29 Page:2150064
ISSN:0218-348X
Container-title:Fractals
language:en
Short-container-title:Fractals

Author:

LIU ZE-YU¹^ORCID,XIA TIECHENG²,WANG YI-PING¹

Affiliation:

1. College of science, Northwest A&F University, Yangling District, Shaanxi 712100, P. R. China

2. Department of Mathematics, Shanghai University, Shanghai, Shanghai 200444, P. R. China

Abstract

A new fractional two-dimensional triangle function combination discrete chaotic map (2DTFCDM) with the discrete fractional difference is proposed in this paper. The chaos behaviors are observed through the bifurcation diagrams, the largest Lyapunov exponent plot and the phase portraits. The proposed map is applied in color image encryption with the secret keys generated by Menezes–Vanstone Elliptic Curve Cryptosystem. The image encryption system is analyzed using six aspects indicating the superiority of the proposed algorithm compared to the other algorithms.

Funder

Natural Science Foundation of China

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Geometry and Topology,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218348X2150064X

Reference42 articles.

1. Image Encryption Based on Development of Hénon Chaotic Maps using Fractional Fourier Transform

2. Discrete fractional logistic map and its chaos

3. A New Color Image Encryption Scheme Using CML and a Fractional-Order Chaotic System

4. On symmetric color image encryption system with permutation-diffusion simultaneous operation

Cited by 8 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Fractional-order quantum game chaotic map and its synchronization with application;Chinese Journal of Physics;2024-08

2. A Novel Fractional Sine Chaotic Map and Its Application to Image Encryption and Watermarking;Applied Sciences;2023-05-28

3. Dynamic analysis of fractional-order six-order discrete chaotic mapping and its application in information security;Optik;2023-02

4. Dynamic analysis of new two‐dimensional fractional‐order discrete chaotic map and its application in cryptosystem;Mathematical Methods in the Applied Sciences;2022-10-29

5. A Fractional-Order Discrete Lorenz Map;Advances in Mathematical Physics;2022-09-20