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A new image encryption algorithm based on cubic fractal matrix and L-LCCML system

Author

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  • Zhao, Hongyu
  • Wang, Shengsheng
  • Fu, Zihao

Abstract

This paper creatively proposes a type of cubic fractal matrix and a new spatiotemporal chaotic system named logistic-logistic cascade coupled map lattice (L-LCCML). Furthermore, based on cubic fractal matrix and L-LCCML, this paper proposes a novel image encryption algorithm. The proposed cubic fractal matrix is three-dimensional, irregular, and self-similar. In particular, the proposed L-LCCML system adopts cascade coupling parameter to ensure the dynamic effect of coupling. Therefore, L-LCCML has excellent chaos and is suitable for information encryption. To provide a more secure approach, the proposed algorithm contains two diffusion operations, one permutation operation, and does not require multiple rounds of encryption. The diffusion operation is based on the cubic fractal matrix, which has good security and high encryption efficiency. In addition, the algorithm adopts sorting permutation based on L-LCCML, which provides good randomness for encryption. Experimental results show that the proposed algorithm has the characteristics of large key space, high sensitivity, fast encryption speed, good statistical properties of cipherd images, and etc. Therefore, the proposed algorithm is a usable alternative for practical secure communication.

Suggested Citation

  • Zhao, Hongyu & Wang, Shengsheng & Fu, Zihao, 2024. "A new image encryption algorithm based on cubic fractal matrix and L-LCCML system," Chaos, Solitons & Fractals, Elsevier, vol. 185(C).
    • Handle: RePEc:eee:chsofr:v:185:y:2024:i:c:s0960077924006283
    DOI: 10.1016/j.chaos.2024.115076
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    References listed on IDEAS

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    1. Erkan, Uğur & Toktas, Abdurrahim & Lai, Qiang, 2023. "Design of two dimensional hyperchaotic system through optimization benchmark function," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).
    2. Altun, Ishak & Sahin, Hakan & Aslantas, Mustafa, 2021. "A new approach to fractals via best proximity point," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
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    Cited by:

    1. Conghuan Ye & Shenglong Tan & Jun Wang & Li Shi & Qiankun Zuo & Bing Xiong, 2025. "Double Security Level Protection Based on Chaotic Maps and SVD for Medical Images," Mathematics, MDPI, vol. 13(2), pages 1-24, January.

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