Two applications of Weil-Serre's explicit formula

DOI10.1007/BF01195533zbMath0911.11036OpenAlexW2065939186MaRDI QIDQ1919699

S. G. Vleduts

Publication date: 5 May 1999

Published in: Applicable Algebra in Engineering, Communication and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01195533

zbMATH Keywords

finite fieldalgebraic geometric codesArtin-Schreier coveringdual distance of subfield subcodesestimates of exponential sums along a curveWeil-Serre's explicit formula

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Curves over finite and local fields (11G20) Exponential sums (11T23)

Cites Work

• Artin-Schreier curves, exponential sums, and the Carlitz-Uchiyama bound for geometric codes
• The parameters of subcodes of algebraic-geometric codes over prime subfields
• Elementary abelian \(p\)-extensions of algebraic function fields
• Group codes on certain algebraic curves with many rational points
• Exponential Sums and Goppa Codes: I
• ALGEBRAICO-GEOMETRIC CODES
• On subfield subcodes of modified Reed-Solomon codes (Corresp.)
• On Exponential Sums in Finite Fields
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