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基于Arnold变换的图像置乱密码的安全性分析
引用本文:刘婷,闵乐泉.基于Arnold变换的图像置乱密码的安全性分析[J].武汉大学学报(理学版),2011,57(5):444-448.
作者姓名:刘婷  闵乐泉
作者单位:1. 北京科技大学自动化学院,北京,100083
2. 北京科技大学自动化学院,北京100083/北京科技大学数理学院,北京100083
基金项目:国家自然科学基金资助项目(61074192)
摘    要:研究了基于Arnold变换的图像置乱算法的安全性问题.该算法使用两个不同的Arnold变换矩阵,分别对明文图像进行一次全局置乱和一次分割置乱.结果分析表明,该算法的密钥空间小,不足以抵抗穷举密钥攻击.在选择明文攻击下,导出了两次Arnold变换等效密钥之间的确定性关系.这一关系有效地降低了整个密码系统的密钥空间,从而可以用较小的计算代价获得密钥.理论和实验结果均表明,该密码系统不够安全.

关 键 词:混沌密码  图像置乱  Kerckhoffs准则  选择明文攻击

The Cryptanalysis of an Image Scrambling Algorithm Based on Arnold Transformation
LIU Ting,MIN Lequan.The Cryptanalysis of an Image Scrambling Algorithm Based on Arnold Transformation[J].JOurnal of Wuhan University:Natural Science Edition,2011,57(5):444-448.
Authors:LIU Ting  MIN Lequan
Institution:LIU Ting1,MIN Lequan1,2(1.School of Automation,University of Science and Technology Beijing,Beijing 100083,China,2.School of Mathematics and Physics,China)
Abstract:The security of an Arnold transformation-based image scrambling algorithm is analyzed in this paper.One time global scrambling and one time intersected scrambling are carried on plain-images.The key space of the algorithm is too small to against the exhaust attacks based on the ciphertext-only attack.A deterministic relationship among equivalent keys of Arnold transformations is derived by the chosen-plaintext attack.The relationship can effectively decrease the key space of the whole cryptosystem,thereby o...
Keywords:chaotic cipher  image scrambling  Kerckhoffs principle  chosen-plaintext attack  
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