Bounds for generalized Hamming weights of general AG codes

DOI10.1016/j.ffa.2015.02.006zbMath1392.94961OpenAlexW2070975120MaRDI QIDQ2348176

Kwankyu Lee

Publication date: 10 June 2015

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ffa.2015.02.006

zbMATH Keywords

generalized Hamming weightsalgebraic geometry codesecret sharing schemerelative generalized Hamming weights

Mathematics Subject Classification ID

Bounds on codes (94B65) Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Authentication, digital signatures and secret sharing (94A62)

Related Items (4)

Decoding of differential AG codes ⋮ Relative generalized Hamming weights of \(q\)-ary Reed-Muller codes ⋮ Minimum-weight codewords of the Hermitian codes are supported on complete intersections ⋮ Hermitian codes and complete intersections

Uses Software

• Magma

Cites Work

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• Decoding of differential AG codes
• On the order bounds for one-point AG codes
• The complete determination of the minimum distance of two-point codes on a Hermitian curve
• The second generalized Hamming weight for two-point codes on a Hermitian curve
• Explicit computation of generalized Hamming weights for some algebraic geometric codes
• The Magma algebra system. I: The user language
• The order bound for general algebraic geometric codes
• Feng-Rao decoding of primary codes
• Evaluation codes from order domain theory
• Minimum distance of Hermitian two-point codes
• Relative Generalized Hamming Weights of One-Point Algebraic Geometric Codes
• Unique Decoding of General AG Codes
• Algebraic Function Fields and Codes
• Some New Characters on the Wire-Tap Channel of Type II
• Codes on the Klein quartic, ideals, and decoding (Corresp.)
• Generalized Hamming weights for linear codes
• Decoding algebraic-geometric codes up to the designed minimum distance
• Generalized Hamming weights of q-ary Reed-Muller codes
• Using Algebraic Geometry
• On the generalized Hamming weights of geometric Goppa codes
• Geometric approach to higher weights

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