Goppa-like bounds for the generalized Feng-Rao distances.

DOI10.1016/S0166-218X(02)00441-9zbMath1037.94014MaRDI QIDQ1811099

José I. Farrán, Carlos Munuera

Publication date: 10 June 2003

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

Weierstrass semigroupsApéry setsAlgebraic geometry codesGeneralized Feng-Rao distanceGoppa distanceWeight hierarchy

Mathematics Subject Classification ID

Bounds on codes (94B65) Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27)

Related Items

The second Feng-Rao number for codes coming from telescopic semigroups ⋮ On the second Feng-Rao distance of algebraic geometry codes related to Arf semigroups ⋮ On the generalized Feng-Rao numbers of numerical semigroups generated by intervals ⋮ Weierstrass semigroup at \(m+1\) rational points in maximal curves which cannot be covered by the Hermitian curve

Uses Software

• SINGULAR

Cites Work

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• Adding a parity-check bit
• On the weight hierarchy of geometric Goppa codes
• Dimension/length profiles and trellis complexity of linear block codes
• On the generalized Hamming weights of geometric Goppa codes
• The minimum distance of codes in an array coming from telescopic semigroups
• The Weight Hierarchy of Hermitian Codes

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