Function-field codes

DOI10.1007/s00200-008-0071-3zbMath1278.94072OpenAlexW2068299746MaRDI QIDQ937217

Harald Niederreiter, Dirk Hachenberger, Xing, Chaoping

Publication date: 20 August 2008

Published in: Applicable Algebra in Engineering, Communication and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00200-008-0071-3

zbMATH Keywords

linear codealgebraic function fieldalgebraic-geometry codefunction-field code

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Applications to coding theory and cryptography of arithmetic geometry (14G50)

Cites Work

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• Algebraic function fields and codes
• A new construction of algebraic-geometry codes
• Sudan-decoding generalized geometric Goppa codes.
• A propagation rule for linear codes
• Generalized AG codes and generalized duality
• Some new codes from algebraic curves
• Which linear codes are algebraic-geometric?
• Constructing codes from algebraic curves
• A generalization of algebraic-geometry codes
• GENERALIZED GEOMETRIC GOPPA CODES
• Extended classical Goppa codes

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