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

Autor: Hongyan Zang, Mengdan Tai, Xinyuan Wei
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Mathematics, Vol 10, Iss 7, p 1027 (2022)
Druh dokumentu: article
ISSN: 2227-7390
DOI: 10.3390/math10071027
Popis: 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.
Databáze: Directory of Open Access Journals
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