List decoding codes on Garcia–Stictenoth tower using Gröbner basis (original) (raw)

Gröbner Bases over Galois Rings with an Application to Decoding Alternant Codes

Patrick Fitzpatrick

Journal of Symbolic Computation, 2001

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Use of Grobner bases to decode binary cyclic codes up to the true minimum distance

tuan truong

IEEE Transactions on Information Theory, 1994

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Gröbner basis approach to list decoding of algebraic geometry codes

Patrick Fitzpatrick

Applicable Algebra in Engineering, Communication and Computing, 2007

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On a Grobner bases structure associated to linear codes

Edgar Martinez-Moro

2005

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Computing Gröbner bases associated with lattices

Mijail Borges Quintana

Advances in Mathematics of Communications, 2016

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Reduced Complexity Interpolation for List Decoding Hermitian Codes

Rolando A Carrasco

IEEE Transactions on Wireless Communications - TWC, 2008

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Gröbner bases and combinatorics for binary codes

Patrick Fitzpatrick, Edgar Martinez-Moro

Applicable Algebra in Engineering, Communication and Computing, 2008

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A displacement approach to decoding algebraic codes

Amin Shokrollahi

Contemporary Mathematics, 2003

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An FGLM Method for Decoding Linear Codes

F. Winkler

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A basis for all solutions of the key equation for Gabidulin codes

Vladimir Sidorenko

2010 IEEE International Symposium on Information Theory, 2010

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A p-adic approach to the computation ofGröbner bases

F. Winkler

Journal of Symbolic Computation, 1988

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Fast algorithm for computing the roots of error locator polynomials up to degree 11 in Reed-Solomon decoders

Tuan Nha Truong

IEEE Transactions on Communications, 2001

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A Gröbner basis approach to m-dimensional skew (consta-) cyclic codes

Felix Ulmer

HAL (Le Centre pour la Communication Scientifique Directe), 2022

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Efficient interpolation-based decoding of interleaved subspace and Gabidulin codes

Hannes Bartz

2014 52nd Annual Allerton Conference on Communication, Control, and Computing (Allerton), 2014

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Fast Decoding of AG Codes

Grigory Solomatov

ArXiv, 2022

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ALGEBRAIC STRUCTURE OF THE MINIMAL SUPPORT CODEWORDS SET OF SOME LINEAR CODES

Edgar Martinez-Moro

singacom.uva.es

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Groebner bases and combinatorics for binary codes

Edgar Martinez-Moro

2005

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Algebraic List Decoding of Reed-Solomon product codes

Alexander Vardy, Mostafa El-khamy

2000

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Gröbner Basis Cryptosystems

Martin Kreuzer

Applicable Algebra in Engineering, Communication and Computing, 2006

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A displacement structure approach to e卤cient decoding of algebraic geometric codes

Amin Shokrollahi

1999

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Implementation of Polynomial Basis – Optimal Normal Basis I Basis Conversion

Budi Rahardjo, Intan Muchtadi-Alamsyah

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On the decoding of Reed-Solomon and BCH codes over integer residue rings

Michel Elias

IEEE Transactions on Information Theory, 1997

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On the structure of Hermitian codes

John Little

Journal of Pure and Applied Algebra, 1997

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