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Research Article | Open Access

An image encryption algorithm based on heat flow cryptosystems

Jin Li1( )Jinzheng Qu1Xibo Duan2Xiaoning Su1
College of Science, North China University of Science and Technology, Hebei Key Laboratory of Data Science and Application, Tangshan 063210, P. R. China
Shandong Water Conservancy Vocational College, Rizhao 276800, P. R. China
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Abstract

Image encryption has been an important research topic in information security. Different from traditional encryption methods, heat flow cryptosystem is a new encryption method. This paper proposes an image encryption algorithm based on heat flow cryptosystem. First, a class of heat flow cryptosystem based on nonlinear pseudo-parabolic equations are given in this paper. Second, a numerical method with high precision namely barycentric Lagrange interpolation collocation method is proposed to solve the nonlinear pseudo-parabolic equation. Third, an image encryption algorithm based on the heat flow cryptosystem is designed, the detailed process of encryption and decryption algorithm is given, the flow diagram of algorithm is showed. Finally, the proposed encryption algorithm is applied to various image with gray and RGB format and compared with the current popular chaotic encryption algorithm. Many indicators such as histograms, information entropy and correlation are used to objectively evaluate the image encryption algorithm. The experimental results show that the proposed image encryption algorithm is better in most indicators and the algorithm is sensitive to the change of key and plaintext.

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Networks and Heterogeneous Media
Pages 1260-1287

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Cite this article:
Li J, Qu J, Duan X, et al. An image encryption algorithm based on heat flow cryptosystems. Networks and Heterogeneous Media, 2023, 18(3): 1260-1287. https://doi.org/10.3934/nhm.2023055

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Received: 03 January 2023
Revised: 08 March 2023
Accepted: 27 March 2023
Published: 15 September 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)