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On a Symmetric Image Cryptosystem Based on a Novel One-Dimensional Chaotic System and Banyan Network

Qingye Huang, Linqing Huang, Shuting Cai, Xiaoming Xiong and Hui Zhang ()
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Qingye Huang: School of Advanced Manufacturing, Guangdong University of Technology, Jieyang 522000, China
Linqing Huang: School of Advanced Manufacturing, Guangdong University of Technology, Jieyang 522000, China
Shuting Cai: School of Integrated Circuits, Guangdong University of Technology, Guangzhou 510006, China
Xiaoming Xiong: School of Integrated Circuits, Guangdong University of Technology, Guangzhou 510006, China
Hui Zhang: School of Automation, Guangdong University of Technology, Guangzhou 510006, China

Mathematics, 2023, vol. 11, issue 21, 1-21

Abstract: In this paper, a Banyan network with high parallelism and nonlinearity is used for the first time in image encryption to ensure high complexity and randomness in a cipher image. To begin, we propose a new 1-D chaotic system (1-DSCM) which improves the chaotic behavior and control parameters’ structure of the sin map. Then, based on 1-DSCM, a Banyan network, and SHA-256 hash function, a novel image encryption algorithm is conducted. Firstly, a parameter is calculated using SHA-256 hash function and then employed to preprocess the plaintext image to guarantee high plaintext sensitivity. Secondly, a row–column permutation operation is performed to gain the scrambled image. Finally, based on the characteristic of DNA encoding, a novel DNA mapping is constructed using an N = 4 Banyan network and is used to diffuse the scrambled image. Simulation results show that the 1-DSCM has excellent performance in chaotic behavior and that our encryption algorithm exhibits strong robustness against various attacks and is suitable for use in modern cryptosystems.

Keywords: image encryption; 1D-chaotic system; Banyan network; SHA-256 hash function; DNA encoding (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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