Sudan-decoding generalized geometric Goppa codes.

DOI10.1016/S1071-5797(02)00017-5zbMath1035.94018MaRDI QIDQ1400974

Agnes Eileen Heydtmann

Publication date: 17 August 2003

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

zbMATH Keywords

geometric Goppa codesgeneralized Goppa codesSudan-decoding

Mathematics Subject Classification ID

Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Decoding (94B35)

Related Items (3)

GENERALIZED GEOMETRIC GOPPA CODES ⋮ Function-field codes ⋮ Generalized AG codes and generalized duality

Uses Software

• Code Tables

Cites Work

• Algebraic function fields and codes
• A tower of Artin-Schreier extensions of function fields attaining the Drinfeld-Vladut bound
• A Hensel lifting to replace factorization in list-decoding of algebraic-geometric and Reed-Solomon codes
• Some new codes from algebraic curves
• Modular curves, Shimura curves, and Goppa codes, better than Varshamov-Gilbert bound
• Improved decoding of Reed-Solomon and algebraic-geometry codes
• A generalization of algebraic-geometry codes
• GENERALIZED GEOMETRIC GOPPA CODES
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