| 81 | 0 | 49 |
| 下载次数 | 被引频次 | 阅读次数 |
为解决现有图像加密算法因依赖低维混沌、加密结构单一而导致安全性不足的问题,提出一种基于明文关联与动态多技术融合的彩色图像加密方案.首先构建了一个具有复杂动力学行为的新四维超混沌系统.之后将明文图像哈希值与外部密钥结合,生成与明文强相关的混沌序列,以抵御选择明文攻击.同时该混沌序列被用于对一维元胞自动机的初始状态和演化规则进行动态联合调控,生成元胞序列与混沌序列协同引导骑士巡游,形成不可预测的全局置乱路径.最后通过一种四向链式扩散机制增强了算法的雪崩效应.仿真实验与安全性分析表明,该算法的密钥空间可达10165,加密后图像信息熵均接近7.9993,像素相关系数趋近于0,且能有效抵抗统计攻击与差分攻击,具有良好安全性与鲁棒性.
Abstract:To overcome the vulnerabilities of existing image encryption algorithms, such as insufficient key space and susceptibility to chosen-plaintext attacks, a novel color image encryption scheme is proposed based on plaintext-association and dynamic technology fusion. The scheme is founded on a new four-dimensional(4D)hyperchaotic system with complex dynamics. To ensure plaintext sensitivity and resist chosen-plaintext attacks, the SHA-256 hash of the plaintext image is integrated with external keys to generate initial values. These values dynamically co-regulate the initial state and evolution rules of a one-dimensional cellular automaton(CA). The resulting CA sequence, in conjunction with the hyperchaotic sequence, guides a Knight's Tour to create a highly unpredictable global permutation path. Finally, a four-way chained diffusion mechanism is employed to maximize the avalanche effect. Simulation results demonstrate that the proposed algorithm achieves a key space of 10165, information entropy values approaching 7.9993, and pixel correlation coefficients near zero. These findings confirm its excellent security and robustness against both statistical and differential attacks.
[1]FURQAN H M,SOLAIJA M S J,TURKMEN H,et al. Wireless communication,sensing,and rem:a security perspective[J]. IEEE Open Journal of the Communications Society,2021,2:287-321.
[2]SABERIKAMARPOSHTI M,GHORBANI A,YADOLLAHI M. A comprehensive survey on image encryption:taxonomy,challenges,and future directions[J]. Chaos,Solitons&Fractals,2024,178:114361.
[3]曾祥秋,叶瑞松.基于改进Logistic映射的混沌图像加密算法[J].计算机工程,2021,47(11):158-165+174.
[4]王永,雷鹏.一种基于Baker映射与时空混沌的图像加密算法[J].重庆邮电大学学报(自然科学版),2015,27(4):556-562.
[5]BOUTEGHRINE B,TANOUGAST C,SADOUDI S. Novel image encryption algorithm based on new3-d chaos map[J]. Multimedia Tools and Applications, 2021, 80(17):25583-25605.
[6]RHOUMA R,BELGHITH S. Cryptanalysis of a new image encryption algorithm based on hyper-chaos[J].Physics Letters A,2008,372(38):5973-5978.
[7]WANG T,WANG M. Hyperchaotic image encryption algorithm based on bit-level permutation and DNA encoding[J]. Optics&Laser Technology,2020,132:106355.
[8]庄志本,李军,刘静漪,等.基于新的五维多环多翼超混沌系统的图像加密算法[J].物理学报,2020,69(4):50-63.
[9]WOLFRAM S. Random sequence generation by cellular automata[J]. Advances in Applied Mathematics,1986,7(2):123-169.
[10]WANG X,LUAN D. A novel image encryption algorithm using chaos and reversible cellular automata[J].Communications in Nonlinear Science and Numerical Simulation,2013,18(11):3075-3085.
[11]陈祥,张勇,陈云攀,等.融合Hénon映射和元胞自动机的图像加密算法[J].小型微型计算机系统,2022,43(5):1061-1067.
[12]ALEXAN W,ELBELTAGY M,ABOSHOUSHA A. RGB image encryption through cellular automata,s-box and the lorenz system[J]. Symmetry,2022,14(3):443.
[13]LI L,LUO Y,QIU S,et al. Image encryption using chaotic map and cellular automata[J]. Multimedia Tools and Applications,2022,81(28):40755-40773.
[14]兰红,方毅.基于Arnold变换的改进骑士巡游图像加密算法[J].通信技术,2018,51(7):1663-1670.
[15]潘营利,何冰,王英.基于骑士巡游的改进图像加密算法[J].计算机与数字工程,2016,44(1):136-140.
[16]官国荣,吴成茂,贾倩.一种改进的高性能Lorenz系统构造及其应用[J].物理学报,2015(2):35-48.
[17]MENG F Q,WU G. A color image encryption and decryption scheme based on extended DNA coding and fractional-order 5D hyper-chaotic system[J]. Expert Systems with Applications, 2024, 254:124413.
[18]YAN S,LI L,GU B,et al. A color image encryption scheme based on chaotic mapping ,chaotic system,and DNA coding[J]. Applied Intelligence,2023,53(24):31181-31206.
[19]MIR U H,LONE P N. Hyperchaotic image encryption using DNA coding and discrete cosine transform[A].Springer Science and Business Media LLC,2023.
[20]李蓝航,丘森辉,王文仪,等.基于混沌映射的彩色图像多层交互加密算法[J].广西师范大学学报(自然科学版),2021,39(6):72-86.
基本信息:
中图分类号:TP309.7;TP391.41
引用信息:
[1]张天夫,庄志本,赵汗青,等.基于超混沌与动态协同置乱的图像加密算法[J].汕头大学学报(自然科学版),2026,41(02):43-53.
基金信息:
湖南省教育厅科学研究基金资助项目(24C0434)
2026-05-15
2026-05-15