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MutantXL: Solving Multivariate Polynomial Equations for Cryptanalysis

Authors: Johannes A. Buchmann, Jintai Ding, Mohamed Saied Emam Mohamed, and Wael Said Abd Elmageed Mohamed

Published in: Dagstuhl Seminar Proceedings, Volume 9031, Symmetric Cryptography (2009)

Abstract

MutantXL is an algorithm for solving systems of polynomial equations that was proposed at SCC 2008 and improved in PQC 2008. This article gives an overview over the MutantXL algorithm. It also presents experimental results comparing the behavior of the MutantXL algorithm to the $F_4$ algorithm on HFE and randomly generated multivariate systems. In both cases MutantXL is faster and uses less memory than the Magma's implementation of $F_4$.

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Johannes A. Buchmann, Jintai Ding, Mohamed Saied Emam Mohamed, and Wael Said Abd Elmageed Mohamed. MutantXL: Solving Multivariate Polynomial Equations for Cryptanalysis. In Symmetric Cryptography. Dagstuhl Seminar Proceedings, Volume 9031, pp. 1-7, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2009)

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@InProceedings{buchmann_et_al:DagSemProc.09031.10,
  author =	{Buchmann, Johannes A. and Ding, Jintai and Mohamed, Mohamed Saied Emam and Mohamed, Wael Said Abd Elmageed},
  title =	{{MutantXL: Solving Multivariate Polynomial Equations for Cryptanalysis}},
  booktitle =	{Symmetric Cryptography},
  pages =	{1--7},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2009},
  volume =	{9031},
  editor =	{Helena Handschuh and Stefan Lucks and Bart Preneel and Phillip Rogaway},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.09031.10},
  URN =		{urn:nbn:de:0030-drops-19456},
  doi =		{10.4230/DagSemProc.09031.10},
  annote =	{Keywords: Multivariate systems, MutantXL}
}

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Documents authored by Mohamed, Wael Said Abd Elmageed

MutantXL: Solving Multivariate Polynomial Equations for Cryptanalysis

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