Hermitian-invariant codes from the Hermitian curve

DOI10.1007/s40863-022-00315-xOpenAlexW4285393985WikidataQ122159051 ScholiaQ122159051MaRDI QIDQ6188424

Abdulla Eid

Publication date: 11 January 2024

Published in: São Paulo Journal of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40863-022-00315-x

zbMATH Keywords

error correcting codesHermitian curvedual codesRiemann-Roch spacesalgebraic geometric codes

Mathematics Subject Classification ID

Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Curves over finite and local fields (11G20)

Cites Work

• Suzuki-invariant codes from the Suzuki curve
• Computing Weierstrass semigroups and the Feng-Rao distance from singular plane models
• Group codes on certain algebraic curves with many rational points
• A generalized floor bound for the minimum distance of geometric Goppa codes
• Algebraic Function Fields and Codes
• Automorphism groups of some AG codes
• Decoding algebraic-geometric codes up to the designed minimum distance
• A characterization of Hermitian function fields over finite fields.
• On automorphism groups of the Hermitian codes
• The Weight Hierarchy of Hermitian Codes
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