• Title/Summary/Keyword: Differentials SAT

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Calculating the Approximate Probability of Differentials for ARX-Based Cipher Using SAT Solver (SAT 솔버를 이용한 ARX 구조 암호의 디퍼렌셜 확률 근사값 계산)

  • Lee, HoChang;Kim, Seojin;Kang, HyungChul;Hong, Deukjo;Sung, Jaechul;Hong, Seokhie
    • Journal of the Korea Institute of Information Security & Cryptology
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    • v.28 no.1
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    • pp.15-24
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    • 2018
  • In this paper, we explain a method of appproximating the differentials probability using a SAT solver. It is possible to increase the probability by constructing the differential characteristic which already known to differentials with a SAT solver. We apply our method to SPECK32 and SPECK48. As a result, we introduced a SPECK32's 10-round differentials with a probability of$2^{-30.39}$, and SPECK48's 12-round differentials with probability of $2^{-46.8}$. Both differentials are new and longer round and higher probability than previous ones. Using the differentials presented in this paper, we improved attacks of SPECK32/64 to 15 round, SPECK48/72 to 16 round, SPECK48/96 to 17 round, which attack 1 more rounds of previous works.