Upper bound on the number of inequivalent extended binary irreducible Goppa codes

DOI10.1016/j.disc.2023.113703OpenAlexW4387029943MaRDI QIDQ6080168

Daitao Huang, Qin Yue

Publication date: 30 October 2023

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

Full work available at URL: https://doi.org/10.1016/j.disc.2023.113703

zbMATH Keywords

equivalentbinary Goppa codesextended Goppa codesact on group

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Bounds on codes (94B65)

Cites Work

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• On the cyclicity of Goppa codes, parity-check subcodes of Goppa codes, and extended Goppa codes
• Non-binary irreducible quasi-cyclic parity-check subcodes of Goppa codes and extended Goppa codes
• New binary codes from extended Goppa codes
• Goppa and related codes invariant under a prescribed permutation
• Counting Extended Irreducible Binary Quartic Goppa Codes of Length <inline-formula> <tex-math notation="LaTeX">$2^{n}+1$ </tex-math></inline-formula>
• Symmetries of binary Goppa codes (Corresp.)
• New classes of cyclic extended Goppa codes
• Extended Irreducible Binary Sextic Goppa Codes
• Enumeration of Extended Irreducible Binary Goppa Codes
• Counting extended irreducible Goppa codes
• Extended classical Goppa codes

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