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基于改进的四维混沌系统和进化算子的图像加密方案

Image encryption scheme based on improved four-dimensional chaotic system and evolutionary operators.

作者信息

Niu Ying, Zhou Hangyu, Zhang Xuncai

机构信息

School of Architecture Environment Engineering, Zhengzhou University of Light Industry, Zhengzhou, 450002, China.

School of Electrical and Information Engineering, Zhengzhou University of Light Industry, Zhengzhou, 450002, China.

出版信息

Sci Rep. 2024 Mar 25;14(1):7033. doi: 10.1038/s41598-024-57756-x.

Abstract

To enhance the security of image data transmission, and address the weaknesses of existing image encryption schemes based on chaotic systems, particularly concerning resistance to differential attacks and the unstable performance of chaotic systems, this article introduces an improved four-dimensional chaotic system and integrates evolutionary operators to propose an image encryption scheme. Firstly, a method for generating pseudo-random sequences associated with the plaintext is designed. The change rate of the ciphertext pixel value exceeds 0.9967 after a slight modification of the plaintext pixel value, significantly improving the plaintext sensitivity and the scheme's ability to resist selected plaintext attacks. Secondly, an individual rearrangement operation is introduced to achieve bit-level scrambling, and pixel-level scrambling is achieved by selection strategy. Subsequently, crossover and mutation operations are incorporated into image encryption. To reflect the randomness of the pairing, we adopt the pseudo-random sequence generated by the chaotic system to control the crossover and mutation operators, and a diffusion operation is performed on selected pixel pairs. Finally, ciphertext feedback is applied. Experimental results and performance analysis demonstrate that the proposed scheme not only enhances the security of encrypted images but also effectively resists noise and cropping attacks. This method effectively meets the high-security requirements of images in network transmission and provides new ideas for further research in the field of image encryption.

摘要

为了增强图像数据传输的安全性,解决现有基于混沌系统的图像加密方案的弱点,特别是在抵抗差分攻击和混沌系统性能不稳定方面,本文引入了一种改进的四维混沌系统,并集成进化算子提出了一种图像加密方案。首先,设计了一种生成与明文相关的伪随机序列的方法。明文像素值稍有修改后,密文像素值的变化率超过0.9967,显著提高了明文敏感性和该方案抵抗选择明文攻击的能力。其次,引入个体重排操作以实现比特级置乱,并通过选择策略实现像素级置乱。随后,将交叉和变异操作纳入图像加密。为了体现配对的随机性,我们采用混沌系统生成的伪随机序列来控制交叉和变异算子,并对选定的像素对执行扩散操作。最后,应用密文反馈。实验结果和性能分析表明,所提方案不仅增强了加密图像的安全性,还能有效抵抗噪声和裁剪攻击。该方法有效满足了网络传输中图像的高安全性要求,为图像加密领域的进一步研究提供了新思路。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1b2e/10963803/330c222ea3dd/41598_2024_57756_Fig1_HTML.jpg

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