GENERALIZED GEOMETRIC GOPPA CODES

DOI10.1081/AGB-120003988zbMath1014.94015OpenAlexW2078431530MaRDI QIDQ4552423

Agnes Eileen Heydtmann

Publication date: 3 September 2002

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/agb-120003988

zbMATH Keywords

minimum distancedecoding algorithmgeneralized Goppa codes

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Applications to coding theory and cryptography of arithmetic geometry (14G50) Decoding (94B35)

Related Items (8)

On automorphisms of generalized algebraic-geometry codes ⋮ Floor type bound for the minimum distance of generalized algebraic geometric codes ⋮ Sudan-decoding generalized geometric Goppa codes. ⋮ A subclass of \(q^m\)-ary Reed-Solomon codes and decoding of some rational GAG-codes ⋮ Function-field codes ⋮ Automorphisms of hyperelliptic GAG-codes ⋮ Automorphisms of hyperelliptic GAG-codes ⋮ Generalized AG codes and generalized duality

Uses Software

• Code Tables

Cites Work

• Unnamed Item
• Algebraic function fields and codes
• Sudan-decoding generalized geometric Goppa codes.
• Decoding algebraic geometry codes by a key equation
• A tower of Artin-Schreier extensions of function fields attaining the Drinfeld-Vladut bound
• Modular curves, Shimura curves, and Goppa codes, better than Varshamov-Gilbert bound
• A generalization of algebraic-geometry codes

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