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A Further Understanding of differential-linear cryptanalysis

Chinese Journal of Electronics 2020年第4期29卷 660-666页

作者： REN Jiongjiong CHEN Shaozhen State Key Laboratory of Mathematical Engineering and Advanced Computing State Key Laboratory of Cryptology

differential-linear cryptanalysis has attracted much attention since proposed to attack DES in 1994, and then some generalized theories are developed to complement and unify the ***, the links between differential-linear cryptanalysis and other important cryptanalysis methods have been still *** motivation is to fix the *** establishing some boolean equations, we propose the mathematical links among differential, linear and differential-linear *** then generalise the definition of capacity and present some properties of the capacity of differential *** links and properties are employed to explore the relationships between multidimensional differential-linear hulls and integral *** show that a multidimensional differential-linear hull of certain correlation always implies the existence of an integral distinguisher and a zero-correlation linear hull, while a special integral distinguisher indicates the existence of a multidimensional differential-linear hull.

关键词： Block cipher differential cryptanalysis linear cryptanalysis differential-linear cryptanalysis Integral distinguisher Zero-correlation

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New insights on linear cryptanalysis

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Science China(Information Sciences) 2020年第1期63卷 104-114页

作者： Zhiqiang LIU Shuai HAN Qingju WANG Wei LI Ya LIU Dawu GU Department of Computer Science and Engineering Shanghai Jiao Tong University State Key Laboratory of Cryptology School of Computer Science and Technology Donghua University Department of Computer Science and Engineering University of Shanghai for Science and Technology

linear cryptanalysis is one of the most important cryptanalytic tools against block ciphers,thus modern block ciphers are always deliberately devised to avoid good long linear characteristics so as to resist linear cryptanalysis and its extensions. differential-linear cryptanalysis, a powerful extension of linear cryptanalysis, has drawn much attention due to its applicability even in certain case that there is no good long linear characteristic of block ciphers. To further refine differential-linear cryptanalysis, we investigate the correlation distribution of differential-linear hull over random permutation and derive a concrete and concise correlation distribution accordingly. Theoretically, this could make differential-linear cryptanalysis more reasonable and precise. Moreover, the newly-proposed correlation distribution could lead to an interesting potential for improving the effectiveness of differential-linear cryptanalysis.

关键词： block cipher linear cryptanalysis differential-linear cryptanalysis correlation distribution key-dependent differential-linear hull

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