Trace codes and families of algebraic curves

DOI10.1007/BF02570836zbMath0767.94018OpenAlexW2019279980MaRDI QIDQ1188024

Gerard van der Geer, Marcel van der Vlugt

Publication date: 3 August 1992

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174366

zbMATH Keywords

elliptic curvescovering radiusrational pointscurvescodesfieldsubcodesweight distributionsintegral binary quadratic forms

Mathematics Subject Classification ID

Rational points (14G05) Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Finite ground fields in algebraic geometry (14G15) Applications to coding theory and cryptography of arithmetic geometry (14G50)

Related Items

Fibre products of Artin-Schreier curves and generalized Hamming weights of codes

Cites Work

• Hecke operators and the weight distributions of certain codes
• Kloosterman sums and the \(p\)-torsion of certain Jacobians
• Covering radius---Survey and recent results
• On the covering radius of binary codes (Corresp.)
• On Exponential Sums in Finite Fields
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