List decoding algorithm based on voting in Gröbner bases for general one-point AG codes-Reference-Cited by-同舟云学术

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List decoding algorithm based on voting in Gröbner bases for general one-point AG codes

Published:2017-03 Issue: Volume:79 Page:384-410
ISSN:0747-7171
Container-title:Journal of Symbolic Computation
language:en
Short-container-title:Journal of Symbolic Computation

Author:

Matsumoto Ryutaroh,Ruano Diego,Geil Olav

Funder

MEXT

Villum Foundation

Danish National Research Foundation

National Science Foundation of China

Danish Council for Independent Research

MINECO

Publisher

Elsevier BV

Subject

Computational Mathematics,Algebra and Number Theory

Reference54 articles.

1. An Introduction to Gröbner Bases;Adams,1994

2. A parametric approach to list decoding of Reed–Solomon codes using interpolation;Ali;IEEE Trans. Inf. Theory,2011

3. Evaluation codes from order domain theory;Andersen;Finite Fields Appl.,2008

4. The order bound for general algebraic geometric codes;Beelen;Finite Fields Appl.,2007

5. Efficient list decoding of a class of algebraic-geometry codes;Beelen;Adv. Math. Commun.,2010

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