Hyperelliptic function fields and codes

DOI10.1016/0022-4049(91)90053-5zbMath0744.94022OpenAlexW2051642089WikidataQ126812529 ScholiaQ126812529MaRDI QIDQ1181503

Xing, Chaoping

Publication date: 27 June 1992

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(91)90053-5

zbMATH Keywords

hyperelliptic curvesarithmetic properties of hyperelliptic function fieldsminimum distance of geometric 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) Algebraic functions and function fields in algebraic geometry (14H05)

Related Items (1)

The generalized Hamming weights of some hyperelliptic codes

Cites Work

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• Elliptic codes over fields of characteristic 2
• Linear codes and modular curves
• ALGEBRAICO-GEOMETRIC CODES
• Modular curves, Shimura curves, and Goppa codes, better than Varshamov-Gilbert bound

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