The second generalized Hamming weight of certain Castle codes

DOI10.1007/s10623-014-9981-1zbMath1397.94129OpenAlexW2105264323MaRDI QIDQ2350927

Wilson Olaya-León, Claudia Granados-Pinzón

Publication date: 25 June 2015

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

Full work available at URL: https://doi.org/10.1007/s10623-014-9981-1

zbMATH Keywords

generalized Hamming weightserror-correcting codesHermitian codesAG codesCastle codes

Mathematics Subject Classification ID

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

Related Items

Higher Hamming weights for locally recoverable codes on algebraic curves ⋮ The second generalized Hamming weight of some evaluation codes arising from a projective torus ⋮ GHWs of codes arising from Cartesian product of graphs ⋮ GHWs of codes derived from the incidence matrices of some graphs ⋮ On geometric Goppa codes from elementary abelian \(p\)-extensions of \(\mathbb{F}_{p^s}(x)\) ⋮ Generalized minimum distance functions ⋮ Generalized Hamming weights of projective Reed-Muller-type codes over graphs ⋮ Linear codes over signed graphs

Cites Work

• On the order bounds for one-point AG codes
• On codes from norm-trace curves
• On the minimum distance of Castle codes
• Evaluation codes from order domain theory
• Algebraic Geometry Codes from Castle Curves
• Generalized Hamming weights for linear codes
• The second and third generalized Hamming weights of Hermitian codes
• On the generalized Hamming weights of geometric Goppa codes
• The Weight Hierarchy of Hermitian Codes