改进型整数双帐篷映射模型性能分析及应用

DYNAMIC INTEGER COUPLED PIECEWISE TENT MAPPING AND ITS CHARACTERISTIC ANALYSIS

  • 摘要: 将帐篷映射扩展为双帐篷映射,证明整数化后的双帐篷映射具有均匀分布特性,但由于周期性没有显著变化,提出一种改进型整数分段帐篷映射,之后通过引入动态参量与耦合映像格子,完成对动态整数耦合分段帐篷映射模型的建立,对模型的李亚普诺夫(Lyapunov)指数和随机数测试进行分析,结果表明该模型具有更好的混沌行为。将该映射应用到图像加密,算法采用像素置乱、三维像素扩散以及像素值异或,随后对密文进行直方图、相邻像素相关性、信息熵、密钥敏感性测试。结果表明该算法具有更好的加密性能与安全性。

     

    Abstract: Tent mapping is extended to double tent mapping, it is proved that integer double tent mapping has uniform distribution characteristics, but due to no significant change in periodicity, an improved integer piecewise tent mapping is proposed. After introducing dynamic parameters and coupled map lattices, the dynamic integer coupled piecewise tent mapping model is completed. The Lyapunov exponent and randomness of the model were analyzed. The mapping is applied to image encryption, adopting pixel scrambling, 3D pixel diffusion and pixel XOR encryption, followed by histogram, adjacent pixel correlation, information entropy, key sensitivity tests. The experimental results show that the proposed algorithm has better encryption performance and security.

     

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