Cyclic Generalized Separable (L, G) Codes

DOI10.1007/978-3-319-17296-5_5zbMath1343.94093OpenAlexW2289330379MaRDI QIDQ3460448

Sergei V. Bezzateev

Publication date: 7 January 2016

Published in: Coding Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-17296-5_5

zbMATH Keywords

Goppa codescyclic codesgeneralized \((L,G)\) codes

Mathematics Subject Classification ID

Cyclic codes (94B15)

Cites Work

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• Lower bound of covering radius of binary irreducible Goppa codes
• Which extended Goppa codes are cyclic?
• Cyclic (L,g)-codes
• On the cyclicity of Goppa codes, parity-check subcodes of Goppa codes, and extended Goppa codes
• A new bound on the minimum distance of cyclic codes using small-minimum-distance cyclic codes
• Goppa and related codes invariant under a prescribed permutation
• Symmetries of binary Goppa codes (Corresp.)
• On extending Goppa codes to cyclic codes (Corresp.)
• Characterization theorems for extending Goppa codes to cyclic codes (Corresp.)
• Extended double-error-correcting binary Goppa codes are cyclic (Corresp.)
• New classes of cyclic extended Goppa codes
• Decoding Cyclic Codes up to a New Bound on the Minimum Distance
• Subclass of Cyclic Goppa Codes

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