ISCAS OpenIR
impossible differential cryptanalysis of spn ciphers
Li R.; Sun B.; Li C.
2011
SourceIET Information Security
ISSN17518709
Volume5Issue:2Pages:111-120
English AbstractImpossible 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.
Indexed Typeei
KeywordLinear Algebra Linear Equations Linear Transformations Lyapunov Methods Mathematical Transformations
Department(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
Language英语
WOS IDWOS:000295123100004
Citation statistics
Cited Times:18[WOS]   [WOS Record]     [Related Records in WOS]
Content Type期刊论文
URIhttp://ir.iscas.ac.cn/handle/311060/14027
Collection中国科学院软件研究所
Recommended Citation
GB/T 7714
Li R.,Sun B.,Li C.. impossible differential cryptanalysis of spn ciphers[J]. IET Information Security,2011,5(2):111-120.
APA Li R.,Sun B.,&Li C..(2011).impossible differential cryptanalysis of spn ciphers.IET Information Security,5(2),111-120.
MLA Li R.,et al."impossible differential cryptanalysis of spn ciphers".IET Information Security 5.2(2011):111-120.
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