Improvements on parameters of one-point AG codes from Hermitian curves
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Publication:4544809
DOI10.1109/18.979330zbMath1071.94536OpenAlexW2164919273MaRDI QIDQ4544809
Publication date: 4 August 2002
Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1109/18.979330
Bounds on codes (94B65) Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Applications to coding theory and cryptography of arithmetic geometry (14G50)
Related Items (12)
A sequence of one-point codes from a tower of function fields ⋮ Coherence of sensing matrices coming from algebraic-geometric codes ⋮ Weierstrass semigroups from Kummer extensions ⋮ Hermitian codes from higher degree places ⋮ Minimum weight codewords in dual algebraic-geometric codes from the Giulietti-Korchmáros curve ⋮ Multi point AG codes on the GK maximal curve ⋮ AG codes from \(\mathbb{F}_{q^7}\)-rational points of the GK maximal curve ⋮ Pure Weierstrass gaps from a quotient of the Hermitian curve ⋮ Lower bounds on the minimum distance in Hermitian one-point differential codes ⋮ Weierstrass semigroups and codes from a quotient of the Hermitian curve ⋮ Hermitian codes with automorphism group isomorphic to \(\operatorname{PGL}(2,q)\) with \(q\) odd ⋮ \(\mathbb{F}_{p^2}\)-maximal curves with many automorphisms are Galois-covered by the Hermitian curve
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