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题名:
impossible differential cryptanalysis of spn ciphers
作者: Li R. ; Sun B. ; Li C.
关键词: Linear algebra ; Linear equations ; Linear transformations ; Lyapunov methods ; Mathematical transformations
刊名: IET Information Security
发表日期: 2011
卷: 5, 期:2, 页:111-120
收录类别: ei
部门归属: (1) National University of Defense Technology, Department of Mathematics and System Science, Science College, Changsha, 410073, China; (2) Chinese Academy of Sciences, State Key Laboratory of Information Security, Institute of Software, Beijing, 100190, China
英文摘要: Impossible differential cryptanalysis is a very popular tool for analysing the security of modern block ciphers and the core of such attack is based on the existence of impossible differentials. Currently, most methods for finding impossible differentials are based on the miss-in-the-middle technique and they are very ad hoc. In this study, the authors concentrate on substitution- permutation network (SPN) ciphers whose diffusion layer is defined by a linear transformation P. Based on the theory of linear algebra, the authors propose several criteria on P and its inversion P-1 to characterise the existence of 3/4-round impossible differentials. The authors further discuss the possibility to extend these methods to analyse 5/6-round impossible differentials. Using these criteria, impossible differentials for reduced-round Rijndael are found that are consistent with the ones found before. New 4-round impossible differentials are discovered for block cipher ARIA. Many 4-round impossible differentials are firstly detected for a kind of SPN cipher that employs a 32×32 binary matrix proposed at ICISC 2006 as its diffusion layer. It is concluded that the linear transformation should be carefully designed in order to protect the cipher against impossible differential cryptanalysis. © 2011 The Institution of Engineering and Technology.
语种: 英语
WOS记录号: WOS:000295123100004
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内容类型: 期刊论文
URI标识: http://ir.iscas.ac.cn/handle/311060/14027
Appears in Collections:软件所图书馆_期刊论文

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Recommended Citation:
Li R.,Sun B.,Li C.. impossible differential cryptanalysis of spn ciphers[J]. IET Information Security,2011-01-01,5(2):111-120.
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