On the generalized Hamming weights of geometric Goppa codes

DOI10.1109/18.340488zbMath0826.94023OpenAlexW2121096352MaRDI QIDQ4850316

Carlos Munuera

Publication date: 9 October 1995

Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1109/18.340488

zbMATH Keywords

algebraic curvegeneralized Hamming weightsgeometric Goppa codes

Mathematics Subject Classification ID

Bounds on codes (94B65) Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Computational aspects of algebraic curves (14Q05)

Related Items (16)

Higher Hamming weights for locally recoverable codes on algebraic curves ⋮ The second generalized Hamming weight of some evaluation codes arising from a projective torus ⋮ A sequence of one-point codes from a tower of function fields ⋮ Generalized Hamming weights of three classes of linear codes ⋮ Generalized Hermitian codes ⋮ The generalized Hamming weights of some hyperelliptic codes ⋮ On geometric Goppa codes from elementary abelian \(p\)-extensions of \(\mathbb{F}_{p^s}(x)\) ⋮ Algebraic Geometry Codes from Castle Curves ⋮ A zero-dimensional approach to Hermitian codes ⋮ Harder-Narasimhan theory for linear codes (with an appendix on Riemann-Roch theory) ⋮ Generalized Hamming weights of codes over the \(\mathcal{GH}\) curve ⋮ The second generalized Hamming weight for two-point codes on a Hermitian curve ⋮ Goppa-like bounds for the generalized Feng-Rao distances. ⋮ Explicit computation of generalized Hamming weights for some algebraic geometric codes ⋮ Bounds for generalized Hamming weights of general AG codes ⋮ The second generalized Hamming weight of certain Castle codes

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