On the cyclicity of Goppa codes, parity-check subcodes of Goppa codes, and extended Goppa codes

DOI10.1006/FFTA.2000.0277zbMath0965.94025OpenAlexW2078870121MaRDI QIDQ1587774

Thierry P. Berger

Publication date: 3 December 2000

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/ffta.2000.0277

zbMATH Keywords

semilinear transformationextensions of Goppa codesinduced-cyclic Goppa codes

Mathematics Subject Classification ID

Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Cyclic codes (94B15)

Related Items (9)

Structural cryptanalysis of McEliece schemes with compact keys ⋮ Cyclic Generalized Separable (L, G) Codes ⋮ Non-binary irreducible quasi-cyclic parity-check subcodes of Goppa codes and extended Goppa codes ⋮ Two classes of cyclic extended double-error-correcting Goppa codes ⋮ Upper bound on the number of inequivalent extended binary irreducible Goppa codes ⋮ Two classes of quasi-cyclic codes via irreducible polynomials ⋮ Quasi-cyclic Goppa codes with special Goppa polynomials and matched location sets ⋮ A new subclass of cyclic Goppa codes ⋮ Counting extended irreducible Goppa codes

Cites Work

• The automorphism groups of Reed-Solomon codes
• Which extended Goppa codes are cyclic?
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