On algebras admitting a complete set of near weights, evaluation codes, and Goppa codes

DOI10.1007/s10623-009-9296-9zbMath1174.94027OpenAlexW1572129592MaRDI QIDQ1035811

Ercílio Silva, Cícero Fernandes de Carvalho

Publication date: 4 November 2009

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10623-009-9296-9

Mathematics Subject Classification ID

Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Other types of codes (94B60)

Related Items (2)

On semigroups, Gröbner basis and algebras admitting a complete set of near weights ⋮ Near weights on higher dimensional varieties

Cites Work

• Algebraic function fields and codes
• On Goppa codes and Weierstrass gaps at several points
• On the index of the Weierstrass semigroup of a pair of points on a curve
• The structure of algebras admitting well-agreeing near weights
• Near Orders and Codes
• Goppa codes with Weierstrass pairs
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