基于改进混沌系统和扩散-置乱-扩散结构的图像加密算法OA
An image encryption algorithm based on improved chaotic system and diffusion-scramble-diffusion structure
针对传统混沌图像加密算法存在动力学退化、抗攻击能力弱及效率与安全性失衡等问题,提出一种基于改进混沌系统的动态耦合图像加密算法.首先,通过引入正弦-余弦非线性扰动项重构Logistic映射相空间,构建SLCS混沌系统,其状态值覆盖度提升,密钥空间扩展至4.29×1069,较传统Logistic映射提升1062倍,有效克服低维混沌的周期窗口现象.其次,设计扩散-置乱-扩散三阶段加密框架,采用动态行扫描置乱与分块交叉扩散策略,结合双向闭环扩散机制实现单像素修改触发全局雪崩效应,使NPCR与UACI分别达到99.612%和33.445%,逼近理想值.实验结果表明,该算法在512×512标准测试图像上RGB通道信息熵均达7.999以上,同时很好地消除了明文的相邻像素相关性.此研究可以为医疗影像与军事通信等实时加密场景提供兼具高安全性与计算效率的解决方案.
Aiming at the problems of dynamic degradation,weak resistance to attacks,and efficiency-security imbalance in traditional chaotic image encryption algorithms,this paper proposes a dynamically coupled image encryption algorithm based on an improved chaotic system.First,by introducing a sine-cosine nonlinear perturbation term to reconstruct the phase space of the Logistic map,a sine-logistic coupled system(SLCS)chaotic system is built.The improved system achieves enhanced state value cov-erage and expands the key space to 4.29×1069,which is 1062 times larger than that of the traditional Logis-tic map,effectively overcoming the periodic window phenomenon in low-dimensional chaos.Second,a three-stage diffusion-scramble-diffusion(DSD)framework is designed,incorporating dynamic row-scan permutation and block-wise cross-diffusion strategies.The bidirectional closed-loop diffusion mechanism ensures that a single-pixel modification triggers a global avalanche effect,achieving NPCR and UACI val-ues of 99.612%and 33.445%,respectively,which closely approach the theoretical ideals.Experimental results demonstrate that the proposed algorithm achieves RGB channel information entropy values exceed-ing 7.999 for standard 512×512 test images while effectively eliminating adjacent pixel correlations in plaintext.This research provides a high-security and computationally efficient solution for real-time en-cryption scenarios such as medical imaging and military communication.
张平;李骁朗;卞俊磊;罗铭滔;董泽涵;张子淳;冯荣俊
南京邮电大学 计算机学院,江苏 南京 210023南京邮电大学通达学院 计算机工程学院,江苏 扬州 225100南京邮电大学通达学院 计算机工程学院,江苏 扬州 225100南京邮电大学通达学院 计算机工程学院,江苏 扬州 225100南京邮电大学通达学院 计算机工程学院,江苏 扬州 225100南京邮电大学通达学院 计算机工程学院,江苏 扬州 225100南京邮电大学 计算机学院,江苏 南京 210023
信息技术与安全科学
图像加密改进混沌系统SLCS映射动态行扫描置乱扩散-置乱-扩散结构
image encryptionimproved chaotic systemsine-logistic coupled system(SLCS)mappingdynamic row-scan permutationdiffusion-scramble-diffusion
《南京邮电大学学报(自然科学版)》 2026 (3)
41-50,10
国家自然科学基金(U23B2002,62272238,61902195)和通达学院大学生创新创业训练计划(202413989040Y)资助项目
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