The Weight Hierarchy of Hermitian Codes

DOI10.1137/S089548019834342XzbMath1034.94014OpenAlexW2063068146MaRDI QIDQ4943706

Carlos Munuera, Ángela I. Barbero

Publication date: 19 March 2000

Published in: SIAM Journal on Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s089548019834342x

zbMATH Keywords

weight hierarchygeneralized Hamming weightsHermitian codeorder bound

Mathematics Subject Classification ID

Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Applications to coding theory and cryptography of arithmetic geometry (14G50)

Related Items (17)

A class of cyclotomic linear codes and their generalized Hamming weights ⋮ A comparison between Suzuki invariant code and one-point Hermitian code ⋮ Generalized Hamming weights of three classes of linear codes ⋮ Generalized Hermitian codes ⋮ A formula on the weight distribution of linear codes with applications to AMDS codes ⋮ Minimum-weight codewords of the Hermitian codes are supported on complete intersections ⋮ On the weights of dual codes arising from the GK curve ⋮ Generalized Hamming weights of linear codes from cryptographic functions ⋮ Hermitian-invariant codes from the Hermitian curve ⋮ Evaluation codes from order domain theory ⋮ Weight distribution of Hermitian codes and matrices rank ⋮ The second generalized Hamming weight for two-point codes on a Hermitian curve ⋮ Hermitian codes and complete intersections ⋮ Goppa-like bounds for the generalized Feng-Rao distances. ⋮ Weight hierarchies of a family of linear codes associated with degenerate quadratic forms ⋮ On the generalized Feng-Rao numbers of numerical semigroups generated by intervals ⋮ The second generalized Hamming weight of certain Castle codes

This page was built for publication: The Weight Hierarchy of Hermitian Codes