首页|期刊导航|南华大学学报(自然科学版)|基于二维D-peak超混沌映射与动态DNA编码的图像加密算法研究

基于二维D-peak超混沌映射与动态DNA编码的图像加密算法研究OA

Research on image encryption algorithm based on 2D D-Peak hyperchaotic map and dynamic DNA encoding

中文摘要英文摘要

本研究提出了一种新型二维耦合映射模型,并通过李雅普诺夫指数谱、分岔图、相图吸引子、谱熵(sample entropy,SE)和 0-1 测试等方法验证其超混沌特性.基于该模型提出了像素矩阵分层旋转置乱算法和动态 DNA 编码扩散算法,并结合二维空间置乱和全比特扩散设计了图像加密方案.通过密钥空间分析、密钥敏感性测试、直方图分析、像素相关性分析以及裁剪和噪声攻击等仿真,验证了该方案具有较大的密钥空间、优异的密钥敏感性及较强的鲁棒性.

This study proposes a novel two-dimensional coupled map model,and its hyper-chaotic characteristics are verified using methods such as Lyapunov exponent spectrum,bi-furcation diagram,attractor in the phase space,sample entropy(SE),and 0-1 test.Based on this model,a pixel matrix hierarchical rotation scrambling algorithm and a dy-namic DNA encoding diffusion algorithm are proposed.The image encryption scheme is constructed via a hybrid approach incorporating two-dimensional spatial scrambling and full-bit diffusion.Through comprehensive simulation tests—including key space analysis,sensitivity testing,histogram and pixel correlation analyses,as well as cropping and noise attacks—this study demonstrates that the encryption scheme achieves a large key space,excellent key sensitivity,and strong robustness.

邱威;李震波

南华大学 数理学院,湖南 衡阳 421001南华大学 数理学院,湖南 衡阳 421001

信息技术与安全科学

混沌系统图像加密旋转置乱DNA编码

chaos systemimage encryptionrotation scramblingDNA encode

《南华大学学报(自然科学版)》 2026 (1)

64-73,80,11

湖南省教育厅优秀青年基金资助项目(21B0419)

10.19431/j.cnki.1673-0062.2026.01.009

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