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Groups Complexity Cryptology

Managing Editor: Shpilrain, Vladimir / Weil, Pascal

Editorial Board Member: Blackburn, Simon R. / Conder, Marston / Dehornoy, Patrick / Eick, Bettina / Fine, Benjamin / Gilman, Robert / Grigoriev, Dima / Ko, Ki Hyoung / Kreuzer, Martin / Mikhalev, Alexander V. / Myasnikov, Alexei / Roman'kov, Vitalii / Rosenberger, Gerhard / Sapir, Mark / Schäge, Sven / Thomas, Rick / Tsaban, Boaz / Capell, Enric Ventura

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CiteScore 2016: 0.35

SCImago Journal Rank (SJR) 2016: 0.372
Source Normalized Impact per Paper (SNIP) 2016: 0.517

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Online
ISSN
1869-6104
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Algebraic attacks using SAT-solvers

Philipp Jovanovic / Martin Kreuzer
Published Online: 2010-11-15 | DOI: https://doi.org/10.1515/gcc.2010.016

Abstract

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.

Keywords.: Algebraic cryptanalysis; SAT solver; AES; polynomial system solving

About the article

Received: 2010-07-28

Revised: 2010-10-19

Published Online: 2010-11-15

Published in Print: 2010-12-01


Citation Information: Groups – Complexity – Cryptology, ISSN (Online) 1869-6104, ISSN (Print) 1867-1144, DOI: https://doi.org/10.1515/gcc.2010.016.

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