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复杂系统与复杂性科学  2024, Vol. 21 Issue (3): 77-84    DOI: 10.13306/j.1672-3813.2024.03.011
  研究论文 本期目录 | 过刊浏览 | 高级检索 |
基于一个复混沌系统的图像加密算法
王越, 安新磊, 施倩倩, 刘思洋
兰州交通大学数理学院,兰州 730070
Image Encryption Algorithm Based on a Complex Chaotic System
WANG Yue, AN Xinlei, SHI Qianqian, LIU Siyang
School of Mathematics and Physics, Lanzhou Jiaotong University, Lanzhou 730070, China
全文: PDF(8587 KB)  
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摘要 为改进基于低维系统设计的加密算法存在密钥空间小等缺陷,构造了一个新的五维复混沌系统,利用相图、平衡点、参数的影响、Lyapunov指数谱、分岔图以及谱熵复杂度探究了其混沌动力学性质。研究发现复系统动力学行为丰富,较低维系统更适合应用于图像加密算法。进而,基于此系统,提出了一个新的加密方案。该方案包括三次扩散及一次置乱,可以很好地增加图像传输中的安全性。最后,通过计算密钥空间、信息熵、相邻像素相关性等对此加密方案进行性能分析。分析结果表明,所设计的加密方案具有较大的密钥空间,拥有良好的加密效果和抵挡外部攻击的能力。
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王越
安新磊
施倩倩
刘思洋
关键词 复混沌系统Zigzag变换有限域理论图像加密    
Abstract:In order to improve the small key space of the encryption algorithm based on low-dimensional system design, a new five-dimensional complex chaotic system is constructed, and its chaotic dynamics properties are studied by using phase diagram, equilibrium point, Lyapunov exponential spectrum, bifurcation diagram and spectral entropy complexity. It is found that the dynamic behavior of this system is rich, and it is more suitable for image encryption algorithm than low-dimensional system. Furthermore, based on this system, a new encryption scheme is proposed in this paper. The scheme includes three diffusion and one scrambling, which can increase the security of image transmission. Finally, the performance of the encryption scheme is analyzed by calculating key space, information entropy, correlation of adjacent pixels and so on. The analysis results show that the encryption scheme designed in this paper has a large key space, good encryption effect and the ability to resist external attacks.
Key wordscomplex chaotic system    Zigzag transform    finite field theory    image encryption
收稿日期: 2023-03-23      出版日期: 2024-11-07
ZTFLH:  TP309.7  
  O415.5  
基金资助:国家自然科学基金(11962012)
作者简介: 王越(1999-),女,黑龙江鸡西人,硕士研究生,主要研究方向为非线性动力学。
引用本文:   
王越, 安新磊, 施倩倩, 刘思洋. 基于一个复混沌系统的图像加密算法[J]. 复杂系统与复杂性科学, 2024, 21(3): 77-84.
WANG Yue, AN Xinlei, SHI Qianqian, LIU Siyang. Image Encryption Algorithm Based on a Complex Chaotic System[J]. Complex Systems and Complexity Science, 2024, 21(3): 77-84.
链接本文:  
https://fzkx.qdu.edu.cn/CN/10.13306/j.1672-3813.2024.03.011      或      https://fzkx.qdu.edu.cn/CN/Y2024/V21/I3/77
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