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Periodicity analysis of Arnold Cat Map and its application to image encryption

机译:阿诺德猫图的周期性分析及其在图像加密中的应用

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摘要

Image encryption and decryption are important as there is a lot of information transfer in the digital world. An interesting topic of discussion could be the periodicity of the Arnold Cat Map (ACM) used for image encryption. Determining the exact or even approximate value of the period for the particular size of the image is much appreciated. In this paper, the periodicity of the ACM map is analyzed to enhance the chaotic behaviour of the Arnold Cat Map so as to overcome the limitation of ACM algorithm owing to its periodicity. Also modified ACM-2D and ACM-3D maps are proposed for image encryption and its efficiency is proved by histogram and key sensitivity analysis.
机译:图像加密和解密非常重要,因为在数字世界中有大量的信息传输。有趣的讨论话题可能是用于图像加密的Arnold Cat Map(ACM)的周期性。为图像的特定尺寸确定周期的精确或什至近似值是非常值得赞赏的。本文分析了ACM映射的周期性,以增强Arnold Cat映射的混沌行为,从而克服了ACM算法由于周期性而带来的局限性。并提出了改进的ACM-2D和ACM-3D图进行图像加密,并通过直方图和关键灵敏度分析证明了其有效性。

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