On evaluation codes coming from a tower of function fields

DOI10.1016/j.jsc.2017.11.008zbMath1398.94210OpenAlexW2770590233MaRDI QIDQ1635278

Luciane Quoos, Maria de los Angeles Chara, Cícero Fernandes de Carvalho

Publication date: 6 June 2018

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jsc.2017.11.008

zbMATH Keywords

Gröbner basiscodestowers of function fields

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Curves over finite and local fields (11G20)

Related Items (1)

From primary to dual affine variety codes over the Klein quartic

Cites Work

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• Rational places in extensions and sequences of function fields of Kummer type
• Decoding affine variety codes using Gröbner bases
• A sequence of one-point codes from a tower of function fields
• Bruno Buchberger's PhD thesis 1965: An algorithm for finding the basis elements of the residue class ring of a zero dimensional polynomial ideal. Translation from the German
• Evaluation codes from order domain theory
• Handbook of Finite Fields
• Gröbner Bases Methods in Coding Theory
• An explicit construction of a sequence of codes attaining the Tsfasman-Vladut-Zink bound. The first steps
• Algebraic-geometry codes

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