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2D Logistic-Adjusted-Chebyshev map for visual color image encryption
Journal of Information Security and Applications ( IF 5.6 ) Pub Date : 2021-05-24 , DOI: 10.1016/j.jisa.2021.102854
Lidong Liu , Donghua Jiang , Xingyuan Wang , Xianwei Rong , Renxiu Zhang

With the increasing requirements of the performance in secure communication filed based on chaos, chaotic systems have been gradually developed into higher dimensions. Because the sequence generated by one-dimension chaos, such as Chebyshev map has the problem of weak chaotic properties and uneven distribution, a new two-dimensional chaotic map, called Logistic-Adjusted-Chebyshev map (2D-LACM), is proposed in this paper which enlarges the range of chaotic control parameter, and expands the range of surjection to the entire control parameter interval to make the distribution of the sequence more uniform. Compared with other improved chaotic maps, the proposed 2D-LACM in this paper has more complex chaotic properties and better ergodicity. Next, a visualized image encryption algorithm based on 2D-LACM is proposed (LACM-VIEA), which can encrypt the plain image into a noisy image, and then embed it into a cover image of the same size. In order to demonstrate the security of LACM-VIEA, the algorithm is analyzed in detail from the aspects of key, histogram, visual effect, robustness and anti-plaintext attacks, etc. The final analysis results show that LACM-VIEA has good security performance.



中文翻译:

用于视觉彩色图像加密的2D Logistic调整后的Chebyshev地图

随着基于混沌的安全通信对性能的要求不断提高,混沌系统已逐渐发展为更高的维度。由于一维混沌产生的序列(例如切比雪夫图)存在混沌特性弱,分布不均匀的问题,因此提出了一种新的二维混沌图,称为对数调整切比雪夫图(2D-LACM)。本文扩大了混沌控制参数的范围,并将排斥的范围扩大到整个控制参数区间,以使序列的分布更加均匀。与其他改进的混沌图相比,本文提出的2D-LACM具有更复杂的混沌特性和更好的遍历性。接下来,提出了一种基于2D-LACM的可视化图像加密算法(LACM-VIEA),可以将普通图像加密为噪点图像,然后将其嵌入相同大小的封面图像中。为了证明LACM-VIEA的安全性,从密钥,直方图,视觉效果,鲁棒性和反明文攻击等方面对算法进行了详细分析。最终的分析结果表明,LACM-VIEA具有良好的安全性能。 。

更新日期:2021-05-25
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