Affine variety codes over a hyperelliptic curve

DOI10.1134/S0032946021010051zbMath1492.94216OpenAlexW3142083286MaRDI QIDQ2021840

N. Patanker, Sanjay Kumar Singh

Publication date: 27 April 2021

Published in: Problems of Information Transmission (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0032946021010051

zbMATH Keywords

hyperelliptic curveGröbner basisgeneralized Hamming weightsaffine variety codessymbol-pair distance

Mathematics Subject Classification ID

Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27)

Related Items (1)

From primary to dual affine variety codes over the Klein quartic

Uses Software

• Code Tables

Cites Work

• Unnamed Item
• The weight distribution of linear codes over \(GF(q^l)\) having generator matrix over \(GF(q)\)
• The weight distribution of irreducible cyclic codes with block lengths \(n_1 ((q^\ell-1)/N)\)
• Decoding affine variety codes using Gröbner bases
• On affine variety codes from the Klein quartic
• Evaluation codes from order domain theory
• Generalized Hamming weights for linear codes
• Codes for Symbol-Pair Read Channels

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