Groups Complexity Cryptology
Managing Editor: Shpilrain, Vladimir / Weil, Pascal
Editorial Board: Ciobanu, Laura / Conder, Marston / Dehornoy, Patrick / Eick, Bettina / Elder, Murray / Fine, Benjamin / Gilman, Robert / Grigoriev, Dima / Ko, Ki Hyoung / Kreuzer, Martin / Mikhalev, Alexander V. / Myasnikov, Alexei / Perret, Ludovic / Roman'kov, Vitalii / Rosenberger, Gerhard / Sapir, Mark / Thomas, Rick / Tsaban, Boaz / Capell, Enric Ventura
2 Issues per year
CiteScore 2017: 0.32
SCImago Journal Rank (SJR) 2017: 0.208
Source Normalized Impact per Paper (SNIP) 2017: 0.322
Mathematical Citation Quotient (MCQ) 2017: 0.32
Algebraic attacks using SAT-solvers
Algebraic attacks lead to the task of solving polynomial systems over 𝔽2. We study recent suggestions of using SAT-solvers for this task. In particular, we develop several strategies for converting the polynomial system to a set of CNF clauses. This generalizes the approach in [Bard, Courtois, Jefferson, Cryptology ePrint Archive 2007, 2007]. Moreover, we provide a novel way of transforming a system over 𝔽2e to a (larger) system over 𝔽2. Finally, the efficiency of these methods is examined using standard examples such as CTC, DES, and Small Scale AES.
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