{"title":"Algebraic attacks using SAT-solvers","authors":"Philipp Jovanovic, M. Kreuzer","doi":"10.1515/gcc.2010.016","DOIUrl":null,"url":null,"abstract":"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 𝔽2 e 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.","PeriodicalId":119576,"journal":{"name":"Groups Complex. Cryptol.","volume":"60 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"35","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Groups Complex. Cryptol.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1515/gcc.2010.016","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 35
Abstract
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 𝔽2 e 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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