Some new codes from algebraic curves

DOI10.1109/18.887873zbMath1013.94028OpenAlexW2100788347MaRDI QIDQ2705992

Xing, Chaoping, Cunsheng Ding, Harald Niederreiter

Publication date: 19 March 2001

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

Full work available at URL: https://doi.org/10.1109/18.887873

zbMATH Keywords

linear codesalgebraic curvesalgebraic geometric codes

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)

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On the automorphisms of generalized algebraic geometry codes ⋮ Sudan-decoding generalized geometric Goppa codes. ⋮ Construction of optimal ternary constant weight codes via Bhaskar Rao designs ⋮ Function-field codes ⋮ Automorphisms of hyperelliptic GAG-codes ⋮ Construction of global function fields from linear codes and vice versa

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