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。
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.
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