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Algebraic Cryptanalysis of SMS4: Gröbner Basis Attack and SAT Attack Compared

Jeremy Erickson The University of North Carolina at Chapel Hill, Chapel Hill, NC 27514 Jintai Ding The University of Cincinnati, Cincinnati, OH 45221; South China University of Technology, Guangzhou, China Chris Christensen Northern Kentucky University, Highland Heights, KY 41099

TBD mathscidoc:2207.43042

ICISC 2009, 73–86, 2009.12
The SMS4 block cipher is part of the Chinese WAPI wireless standard. This paper describes the specification and offers a specification for a toy version called simplified SMS4 (S-SMS4). We explore algebraic attacks on SMS4 and S-SMS4 using Gröbner basis attacks on equation systems over GF(2) and GF(2^8), as well as attacks using a SAT solver derived from the GF(2) model. A comparison of SAT and Gröbner basis attacks is provided.
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@inproceedings{jeremy2009algebraic,
  title={Algebraic Cryptanalysis of SMS4: Gröbner Basis Attack and SAT Attack Compared},
  author={Jeremy Erickson, Jintai Ding, and Chris Christensen},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220714104108705231619},
  booktitle={ICISC 2009},
  pages={73–86},
  year={2009},
}
Jeremy Erickson, Jintai Ding, and Chris Christensen. Algebraic Cryptanalysis of SMS4: Gröbner Basis Attack and SAT Attack Compared. 2009. In ICISC 2009. pp.73–86. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220714104108705231619.
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