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Using Grobner bases in decoding AG codes
1998 Information Theory Workshop (Cat. No.98EX131)
◽
10.1109/itw.1998.706395
◽
2002
◽
Author(s):
D.A. Leonard
Keyword(s):
Gröbner Bases
◽
Grobner Bases
◽
Ag Codes
Download Full-text
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Cited By
References
List decoding algorithm based on voting in Gröbner bases for general one-point AG codes
Journal of Symbolic Computation
◽
10.1016/j.jsc.2016.02.015
◽
2017
◽
Vol 79
◽
pp. 384-410
Author(s):
Ryutaroh Matsumoto
◽
Diego Ruano
◽
Olav Geil
Keyword(s):
Gröbner Bases
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Grobner Bases
◽
List Decoding
◽
Decoding Algorithm
◽
Ag Codes
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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
◽
Cited By ~ 1
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
◽
Grobner Bases
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Gröbner bases for operads
Duke Mathematical Journal
◽
10.1215/00127094-2010-026
◽
2010
◽
Vol 153
(2)
◽
pp. 363-396
◽
Cited By ~ 55
Author(s):
Vladimir Dotsenko
◽
Anton Khoroshkin
Keyword(s):
Gröbner Bases
◽
Grobner 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
◽
Grobner 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
◽
Cited By ~ 1
Author(s):
Viktor Levandovskyy
◽
Tobias Metzlaff
◽
Karim Abou Zeid
Keyword(s):
Gröbner Bases
◽
Grobner 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
◽
Cited By ~ 1
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
◽
Cited By ~ 8
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
◽
Cited By ~ 7
Author(s):
Andrew J. Chan
◽
Diane Maclagan
Keyword(s):
Gröbner Bases
◽
Grobner Bases
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Using noncommutative Gröbner bases in solving partially prescribed matrix inverse completion problems
Linear Algebra and its Applications
◽
10.1016/s0024-3795(01)00382-2
◽
2001
◽
Vol 338
(1-3)
◽
pp. 171-199
◽
Cited By ~ 1
Author(s):
F. Dell Kronewitter
Keyword(s):
Gröbner Bases
◽
Grobner Bases
◽
Matrix Inverse
◽
Completion Problems
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