Image Encryption Schemes Based on a Class of Uniformly Distributed Chaotic Systems

Hongyan Zang, Mengdan Tai and Xinyuan Wei
Additional contact information
Hongyan Zang: Mathematics and Physics School, University of Science and Technology Beijing, Beijing 100083, China
Mengdan Tai: Mathematics and Physics School, University of Science and Technology Beijing, Beijing 100083, China
Xinyuan Wei: Mathematics and Physics School, University of Science and Technology Beijing, Beijing 100083, China

Mathematics, 2022, vol. 10, issue 7, 1-21

Abstract: This paper proposes a method to construct a one-dimensional discrete chaotic system. First, we define a generalized distance function to control the boundedness of the one-dimensional discrete system. Based on Marotto’s theorem, one-dimensional discrete systems are proven to be chaotic in the sense of Li–Yorke, and the corresponding chaos criterion theorem is proposed. The system can be distributed uniformly by adjusting the parameters. In this paper, we propose an image encryption scheme based on a uniformly distributed discrete chaotic system and DNA encoding. DNA encoding and decoding rules are determined by plain text. The experimental results demonstrate that our encryption algorithm has a large key space, high key sensitivity, and fast encryption speed and can resist differential and statistical attacks.

Keywords: chaotic image encryption; uniform distribution; chaotic system; DNA coding (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (5)

Downloads: (external link)
https://www.mdpi.com/2227-7390/10/7/1027/pdf (application/pdf)
https://www.mdpi.com/2227-7390/10/7/1027/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:10:y:2022:i:7:p:1027-:d:777697

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().