A generalization of algebraic-geometry codes

DOI10.1109/18.796390zbMath0956.94023OpenAlexW2101552853MaRDI QIDQ4503430

Kwok-Yan Lam, Harald Niederreiter, Xing, Chaoping

Publication date: 7 September 2000

Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1109/18.796390

zbMATH Keywords

linear codes\(q\)-ary linear codesalgebraic-geometry codesalgebraic function fields

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) 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)

Related Items (16)

New lower bounds for the minimum distance of generalized algebraic geometry codes ⋮ GENERALIZED GEOMETRIC GOPPA CODES ⋮ On automorphisms of generalized algebraic-geometry codes ⋮ On the automorphisms of generalized algebraic geometry codes ⋮ Floor type bound for the minimum distance of generalized algebraic geometric codes ⋮ Sudan-decoding generalized geometric Goppa codes. ⋮ Automorphisms of Hermitian generalized algebraic geometry codes ⋮ A subclass of \(q^m\)-ary Reed-Solomon codes and decoding of some rational GAG-codes ⋮ On the classification of algebraic function fields of class number three ⋮ Function-field codes ⋮ Automorphisms of hyperelliptic GAG-codes ⋮ Automorphisms of hyperelliptic GAG-codes ⋮ Construction of global function fields from linear codes and vice versa ⋮ Constructions and bounds on linear error-block codes ⋮ Asymptotically good codes from generalized algebraic-geometry codes ⋮ Generalized AG codes and generalized duality

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