Image cryptography algorithm based on a new composite chaotic system and Latin square collaborative mechanism

•A general two-dimensional composite hyperchaotic system (2D-CHS) model is proposed.•Theoretical confirms that chaotic maps generated by 2D-CHS exhibit chaotic characteristics.•A digital circuit implementation scheme based on a microcontroller is designed.•A new efficient image encryption algorithm...

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Vydáno v:Optics and lasers in engineering Ročník 193; s. 109084
Hlavní autoři: Tian, Anhong, Yue, Zhongze, Fu, Chengbiao
Médium: Journal Article
Jazyk:angličtina
Vydáno: Elsevier Ltd 01.10.2025
Témata:
Chaotic system
Image encryption
Latin square matrix
Lyapunov exponent
Image encryption
Chaotic system
Latin square matrix
Lyapunov exponent
ISSN:0143-8166
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Shrnutí:•A general two-dimensional composite hyperchaotic system (2D-CHS) model is proposed.•Theoretical confirms that chaotic maps generated by 2D-CHS exhibit chaotic characteristics.•A digital circuit implementation scheme based on a microcontroller is designed.•A new efficient image encryption algorithm is proposed based on 2D-CHS and Latin square matrix. Encryption algorithms based on chaos theory have become a prominent research focus in the field of information security. However, existing chaotic systems exhibit several limitations, including discontinuous chaotic intervals, low complexity of chaotic signals, and insufficient robustness in their dynamical behavior. These deficiencies pose potential risks to the application of chaotic cryptography. To address these issues, this paper proposes a universal two-dimensional composite hyperchaotic system model (2D-CHS). Through rigorous theoretical analysis, it is demonstrated that the number of positive Lyapunov exponents (LEs) in 2D-CHS is always equal to its dimensionality, indicating the existence of infinitely many coexisting attractors and strong robustness against dynamical degradation. To validate the effectiveness of the proposed 2D-CHS, three one-dimensional chaotic maps are first employed as seed maps to construct three 2D chaotic mappings as representative examples. Evaluation and experimental results demonstrate that the newly generated chaotic maps exhibit broader and more continuous chaotic intervals than traditional chaotic maps, and they also outperform existing systems in terms of LEs, the 0–1 test, sample entropy (SE), permutation entropy (PE), and correlation dimension (CD). Furthermore, a digital circuit implementation scheme based on a microcontroller is designed to verify the practical feasibility and physical realizability of the proposed system. Finally, the novel 2D chaotic system is integrated with Latin square matrices to develop a high-efficiency image encryption algorithm. Experimental results confirm that the algorithm demonstrates excellent efficiency and security performance.
ISSN:0143-8166
DOI:10.1016/j.optlaseng.2025.109084