基于分数阶激光系统的扩展DNA编码和z形变换彩色图像加密算法

IF 3.6 2区 数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
Fanqi Meng, Zhenglan Gu
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引用次数: 0

摘要

随着信息技术的进步,数字图像的安全性变得越来越重要。为了保证图像的完整性,提出了一种基于扩展DNA编码、z - zag变换和分数阶激光系统的彩色图像加密算法。首先,利用相图和李雅普诺夫指数谱分析了分数阶激光混沌系统(FLCS)的动态特性。利用系统产生的混沌序列设计图像加密算法。其次,采用改进的z - zag混淆方法对图像进行混淆。最后,在扩散环节对DNA编码方案进行扩展,允许更多数量的DNA编码规则,增加了矩阵的随机性,提高了加密方案的安全性。利用密钥空间、直方图、信息熵、相关系数、差分攻击和鲁棒性分析分析了所设计的加密算法的性能。实验结果表明,该算法能够抵抗多种解密方法,具有较强的加密能力。提出了一种新的彩色图像加密方案,实现了数字图像的安全通信。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A Color Image-Encryption Algorithm Using Extended DNA Coding and Zig-Zag Transform Based on a Fractional-Order Laser System
With the advancement of information technology, the security of digital images has become increasingly important. To ensure the integrity of images, a novel color image-encryption algorithm based on extended DNA coding, Zig-Zag transform, and a fractional-order laser system is proposed in this paper. First, the dynamic characteristics of the fractional-order laser chaotic system (FLCS) were analyzed using a phase diagram and Lyapunov exponent spectra. The chaotic sequences generated by the system were used to design image-encryption algorithms. Second, a modified Zig-Zag confusing method was adopted to confuse the image. Finally, in the diffusion link, the DNA encoding scheme was extended to allow for a greater number of DNA encoding rules, increasing the randomness of the matrix and improving the security of the encryption scheme. The performance of the designed encryption algorithm is analyzed using key space, a histogram, information entropy, correlation coefficients, differential attack, and robustness analysis. The experimental results demonstrate that the algorithm can withstand multiple decryption methods and has strong encryption capability. The proposed novel color image-encryption scheme enables secure communication of digital images.
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来源期刊
Fractal and Fractional
Fractal and Fractional MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-
CiteScore
4.60
自引率
18.50%
发文量
632
审稿时长
11 weeks
期刊介绍: Fractal and Fractional is an international, scientific, peer-reviewed, open access journal that focuses on the study of fractals and fractional calculus, as well as their applications across various fields of science and engineering. It is published monthly online by MDPI and offers a cutting-edge platform for research papers, reviews, and short notes in this specialized area. The journal, identified by ISSN 2504-3110, encourages scientists to submit their experimental and theoretical findings in great detail, with no limits on the length of manuscripts to ensure reproducibility. A key objective is to facilitate the publication of detailed research, including experimental procedures and calculations. "Fractal and Fractional" also stands out for its unique offerings: it warmly welcomes manuscripts related to research proposals and innovative ideas, and allows for the deposition of electronic files containing detailed calculations and experimental protocols as supplementary material.
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