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A new set of image encryption algorithms based on discrete orthogonal moments and Chaos theory

机译：基于离散正交矩和混沌理论的新一套图像加密算法

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摘要

In this paper, we introduce a new set of image encryption algorithms based on orthogonal discrete moments and chaos. Two logisitic maps are used to confuse and diffuse the moments' coefficients obtained using: Tchebichef, Krawtchouk, Hahn, dual Hahn and Racah. An external key of 128 bits is used as the encryption key, some mathematical operations are performed on the key to adapt it as the initial conditions of the logisitic maps. Several experiments are carried out to evaluate the security of the newly introduced algorithms: entropy, key space analysis, statistical and differential attacks. The results obtained show clearly that the proposed algorithms are secure enough to resist any type of known attacks. A comparative study with a similar algorithm operating in the Discrete Transform Domain (DCT) and the state-of-the-art methods validates the superiority of moments' domains particularly in highly textured images.
机译：在本文中，我们介绍了基于正交离散时刻和混沌的新的图像加密算法。两个标志性地图用于混淆和扩散使用的时刻系数：Tchebichef，Krawtchouk，Hahn，双哈恩和罗拉。使用128位的外部键作为加密密钥，在键上执行一些数学操作，以将其调整为标志性地图的初始条件。进行了几个实验来评估新引入的算法的安全性：熵，关键空间分析，统计和差异攻击。得到的结果显然显示了所提出的算法足以抵抗任何类型的已知攻击。具有在离散变换域（DCT）中操作的类似算法的比较研究和最先进的方法验证了矩片域的优势，特别是在高度纹理的图像中。

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  • 来源
    《Multimedia Tools and Applications》 |2020年第28期|20263-20279|共17页
  • 作者

    Abdelhalim Kamrani; Khalid Zenkouar; Said Najah;

  • 作者单位

    Laboratory of Intelligent Systems and Application (LSIA) Faculty of Sciences and Technology Sidi Mohamed Ben Abdellah University Fez Morocco;

    Laboratory of Intelligent Systems and Application (LSIA) Faculty of Sciences and Technology Sidi Mohamed Ben Abdellah University Fez Morocco;

    Laboratory of Intelligent Systems and Application (LSIA) Faculty of Sciences and Technology Sidi Mohamed Ben Abdellah University Fez Morocco;

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  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Image encryption; Discrete orthogonal moments; Chaos cryptography; DCT;

    机译：图像加密;离散正交时刻;混乱密码学;DCT.;

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