Generalized AG codes and generalized duality

DOI10.1016/S1071-5797(02)00027-8zbMath1026.94020MaRDI QIDQ1870030

Gerhard Dorfer, Hiren Maharaj

Publication date: 4 May 2003

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

zbMATH Keywords

self-dual codeself-orthogonal codegeneralized AG code

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Linear codes (general theory) (94B05) Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27)

Related Items (7)

New lower bounds for the minimum distance of generalized algebraic geometry codes ⋮ A group induced four-circulant construction for self-dual codes and new extremal binary self-dual codes ⋮ Self-dual codes with an automorphism of order 13 ⋮ Floor type bound for the minimum distance of generalized algebraic geometric codes ⋮ Double bordered constructions of self-dual codes from group rings over Frobenius rings ⋮ Function-field codes ⋮ Constructing self-dual codes from group rings and reverse circulant matrices

Uses Software

• KANT/KASH

Cites Work

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• Algebraic function fields and codes
• Self-dual Goppa codes
• KANT V4
• Sudan-decoding generalized geometric Goppa codes.
• AN ASYMPTOTICALLY GOOD TOWER OF CURVES OVER THE FIELD WITH EIGHT ELEMENTS
• On the Number of Self-Dual Bases of GF(q m ) Over GF(q)
• Constructing codes from algebraic curves
• A generalization of algebraic-geometry codes
• GENERALIZED GEOMETRIC GOPPA CODES

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