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一种基于改进希尔伯特曲线置乱和动态DNA编码的图像加密算法

An Image Encryption Algorithm Based on Improved Hilbert Curve Scrambling and Dynamic DNA Coding.

作者信息

Geng Shengtao, Li Jiahao, Zhang Xuncai, Wang Yanfeng

机构信息

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

出版信息

Entropy (Basel). 2023 Aug 8;25(8):1178. doi: 10.3390/e25081178.

Abstract

As an effective method for image security protection, image encryption is widely used in data hiding and content protection. This paper proposes an image encryption algorithm based on an improved Hilbert curve with DNA coding. Firstly, the discrete wavelet transform (DWT) decomposes the plaintext image by three-level DWT to obtain the high-frequency and low-frequency components. Secondly, different modes of the Hilbert curve are selected to scramble the high-frequency and low-frequency components. Then, the high-frequency and low-frequency components are reconstructed separately using the inverse discrete wavelet transform (IDWT). Then, the bit matrix of the image pixels is scrambled, changing the pixel value while changing the pixel position and weakening the strong correlation between adjacent pixels to a more significant correlation. Finally, combining dynamic DNA coding and ciphertext feedback to diffuse the pixel values improves the encryption effect. The encryption algorithm performs the scrambling and diffusion in alternating transformations of space, frequency, and spatial domains, breaking the limitations of conventional scrambling. The experimental simulation results and security analysis show that the encryption algorithm can effectively resist statistical attacks and differential attacks with good security and robustness.

摘要

作为一种有效的图像安全保护方法,图像加密在数据隐藏和内容保护中得到了广泛应用。本文提出了一种基于改进希尔伯特曲线和DNA编码的图像加密算法。首先,离散小波变换(DWT)对明文图像进行三级离散小波变换分解,得到高频和低频分量。其次,选择不同模式的希尔伯特曲线对高频和低频分量进行置乱。然后,分别使用离散小波逆变换(IDWT)对高频和低频分量进行重构。接着,对图像像素的比特矩阵进行置乱,在改变像素位置的同时改变像素值,将相邻像素之间的强相关性减弱为更显著的相关性。最后,结合动态DNA编码和密文反馈对像素值进行扩散,提高加密效果。该加密算法在空间、频率和空域的交替变换中进行置乱和扩散,突破了传统置乱的局限性。实验仿真结果和安全性分析表明,该加密算法能够有效抵御统计攻击和差分攻击,具有良好的安全性和鲁棒性。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/f6b3/10453945/d4cae864928a/entropy-25-01178-g001.jpg

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