On Asymptotic Security Estimates in XL and Gröbner Bases-Related Algebraic Cryptanalysis

Information and Communications Security - Lecture Notes in Computer Science ◽

10.1007/978-3-540-30191-2_31 ◽

2004 ◽

pp. 401-413 ◽

Author(s):

Bo-Yin Yang ◽

Jiun-Ming Chen ◽

Nicolas T. Courtois

Keyword(s):

Gröbner Bases ◽

Grobner Bases ◽

Algebraic Cryptanalysis

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Block Ciphers: Algebraic Cryptanalysis and Gröbner Bases

Gröbner Bases, Coding, and Cryptography ◽

10.1007/978-3-540-93806-4_17 ◽

2009 ◽

pp. 307-327 ◽

Author(s):

Carlos Cid ◽

Ralf-Philipp Weinmann

Keyword(s):

Gröbner Bases ◽

Block Ciphers ◽

Grobner Bases ◽

Algebraic Cryptanalysis

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Algebraic Cryptanalysis of Hidden Field Equation (HFE) Cryptosystems Using Gröbner Bases

Advances in Cryptology - CRYPTO 2003 - Lecture Notes in Computer Science ◽

10.1007/978-3-540-45146-4_3 ◽

2003 ◽

pp. 44-60 ◽

Author(s):

Jean-Charles Faugère ◽

Antoine Joux

Keyword(s):

Field Equation ◽

Gröbner Bases ◽

Grobner Bases ◽

Algebraic Cryptanalysis

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A Reachability Test for Systems over Polynomial Rings using Gröbner Bases

1993 American Control Conference ◽

10.23919/acc.1993.4792842 ◽

1993 ◽

Author(s):

L.C.G.J.M. Habets

Keyword(s):

Gröbner Bases ◽

Grobner Bases ◽

Polynomial Rings

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The 50th Anniversary of Gröbner Bases

10.2969/aspm/07710000 ◽

2018 ◽

Keyword(s):

Gröbner Bases ◽

50Th Anniversary ◽

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Gröbner bases for operads

Duke Mathematical Journal ◽

10.1215/00127094-2010-026 ◽

2010 ◽

Vol 153 (2) ◽

pp. 363-396 ◽

Author(s):

Vladimir Dotsenko ◽

Anton Khoroshkin

Keyword(s):

Gröbner Bases ◽

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Signature-based algorithms for Gröbner bases over tate algebras

Proceedings of the 45th International Symposium on Symbolic and Algebraic Computation ◽

10.1145/3373207.3404035 ◽

2020 ◽

Author(s):

Xavier Caruso ◽

Tristan Vaccon ◽

Thibaut Verron

Keyword(s):

Gröbner Bases ◽

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Computation of free non-commutative gröbner bases over Z with Singular:Letterplace

Proceedings of the 45th International Symposium on Symbolic and Algebraic Computation ◽

10.1145/3373207.3404052 ◽

2020 ◽

Author(s):

Viktor Levandovskyy ◽

Tobias Metzlaff ◽

Karim Abou Zeid

Keyword(s):

Gröbner Bases ◽

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Some theoretical problems when solving systems of polynomial equations using Gröbner bases

ACM SIGSAM Bulletin ◽

10.1145/122520.122523 ◽

1991 ◽

Vol 25 (2) ◽

pp. 24-27 ◽

Author(s):

S. Alasdair Buchanan

Keyword(s):

Gröbner Bases ◽

Grobner Bases ◽

Polynomial Equations ◽

Systems Of Polynomial Equations

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Partial Gröbner Bases for Multiobjective Integer Linear Optimization

SIAM Journal on Discrete Mathematics ◽

10.1137/070698051 ◽

2009 ◽

Vol 23 (2) ◽

pp. 571-595 ◽

Author(s):

Víctor Blanco ◽

Justo Puerto

Keyword(s):

Linear Optimization ◽

Gröbner Bases ◽

Grobner Bases ◽

Integer Linear Optimization

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Gröbner bases over fields with valuations

Mathematics of Computation ◽

10.1090/mcom/3321 ◽

2018 ◽

Vol 88 (315) ◽

pp. 467-483 ◽

Author(s):

Andrew J. Chan ◽

Diane Maclagan

Keyword(s):

Gröbner Bases ◽

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