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http://dx.doi.org/10.13089/JKIISC.2018.28.6.1379

Improved Differential-Linear Cryptanalysis Using DLCT  

Kim, Hyunwoo (Korea University)
Kim, Seonggyeom (Korea University)
Hong, Deukjo (Chonbuk National University)
Sung, Jaechul (University of Seoul)
Hong, Seokhie (Korea University)
Publication Information
Journal of the Korea Institute of Information Security & Cryptology / v.28, no.6, 2018 , pp. 1379-1392 More about this Journal
Abstract
The complexity of the differential-linear cryptanalysis is strongly influenced by the probability of the differential-linear characteristic computed under the assumption of round independence, linear approximation independence, and uniformity for the trail that does not satisfy differential trail. Therefore, computing the exact probability of the differential-linear characteristic is a very important issue related to the validity of the attack. In this paper, we propose a new concept called DLCT(Differential-Linear Connectivity Table) for the differential-linear cryptanalysis. Additionally, we propose an improved probability computation technique of differential-linear characteristic by applying DLCT. By doing so, we were able to weaken linear approximation independence assumption. We reanalyzed the previous results by applying DLCT to DES and SERPENT. The probability of 7-round differential-linear characteristic of DES is $1/2+2^{-5.81}$, the probability of 9-round differential-linear characteristic of SERPENT is computed again to $1/2+2^{-57.9}$, and data complexity required for the attack is reduced by $2^{0.2}$ and $2^{2.2}$ times, respectively.
Keywords
Differential-Linear Cryptanalysis; DLCT(Differential-Linear Connectivity Table); DES; SERPENT;
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