An image encryption algorithm based on heat flow cryptosystems

Jin Li; Jinzheng Qu; Xibo Duan; Xiaoning Su; Jin Li; Jinzheng Qu; Xibo Duan; Xiaoning Su

doi:10.3934/nhm.2023055

Networks and Heterogeneous Media

2023, Volume 18, Issue 3: 1260-1287. doi: 10.3934/nhm.2023055

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Research article

An image encryption algorithm based on heat flow cryptosystems

1.
College of Science, North China University of Science and Technology, Hebei Key Laboratory of Data Science and Application, Tangshan 063210, P. R. China
2.
Shandong Water Conservancy Vocational College, Rizhao 276800, P. R. China

Received: 03 January 2023 Revised: 08 March 2023 Accepted: 27 March 2023 Published: 25 April 2023

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.
- information security,
- image encryption,
- heat flow cryptosystem,
- barycentric Lagrange interpolation
Citation: Jin Li, Jinzheng Qu, Xibo Duan, Xiaoning Su. An image encryption algorithm based on heat flow cryptosystems[J]. Networks and Heterogeneous Media, 2023, 18(3): 1260-1287. doi: 10.3934/nhm.2023055

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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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