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基于三维混沌系统和V型置乱的图像加密方法

Image Encryption Method Based on Three-Dimensional Chaotic Systems and V-Shaped Scrambling.

作者信息

Wang Lei, Song Wenjun, Di Jiali, Zhang Xuncai, Zou Chengye

机构信息

Department of Mechanical and Electrical Engineering, Henan Vocational College of Water Conservancy and Environment, Zhengzhou 450002, China.

School of Computer and Communication Engineering, Zhengzhou University of Light Industry, Zhengzhou 450002, China.

出版信息

Entropy (Basel). 2025 Jan 17;27(1):84. doi: 10.3390/e27010084.

Abstract

With the increasing importance of securing images during network transmission, this paper introduces a novel image encryption algorithm that integrates a 3D chaotic system with V-shaped scrambling techniques. The proposed method begins by constructing a unique 3D chaotic system to generate chaotic sequences for encryption. These sequences determine a random starting point for V-shaped scrambling, which facilitates the transformation of image pixels into quaternary numbers. Subsequently, four innovative bit-level scrambling strategies are employed to enhance encryption strength. To further improve randomness, DNA encoding is applied to both the image and chaotic sequences, with chaotic sequences directing crossover and DNA operations. Ciphertext feedback is then utilized to propagate changes across the image, ensuring increased complexity and security. Extensive simulation experiments validate the algorithm's robust encryption performance for grayscale images, yielding uniformly distributed histograms, near-zero correlation values, and an information entropy value of 7.9975, approaching the ideal threshold. The algorithm also features a large key space, providing robust protection against brute force attacks while effectively resisting statistical, differential, noise, and cropping attacks. These results affirm the algorithm's reliability and security for image communication and transmission.

摘要

随着在网络传输过程中保护图像安全的重要性日益增加,本文介绍了一种新颖的图像加密算法,该算法将三维混沌系统与V形置乱技术相结合。所提出的方法首先构建一个独特的三维混沌系统来生成用于加密的混沌序列。这些序列确定V形置乱的随机起始点,这有助于将图像像素转换为四元数。随后,采用四种创新的位级置乱策略来增强加密强度。为了进一步提高随机性,对图像和混沌序列都应用了DNA编码,混沌序列指导交叉和DNA操作。然后利用密文反馈在整个图像中传播变化,确保增加复杂性和安全性。大量的仿真实验验证了该算法对灰度图像的强大加密性能,产生了均匀分布的直方图、接近零的相关值以及7.9975的信息熵值,接近理想阈值。该算法还具有较大的密钥空间,能有效抵御暴力攻击,同时有效抵抗统计、差分、噪声和裁剪攻击。这些结果证实了该算法在图像通信和传输方面的可靠性和安全性。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/613e/11765058/a10c55ad6345/entropy-27-00084-g001.jpg

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