Artin-Schreier curves and codes

DOI10.1016/0021-8693(91)90293-HzbMath0729.11066OpenAlexW2071417614MaRDI QIDQ805671

Gerard van der Geer, Marcel van der Vlugt

Publication date: 1991

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(91)90293-h

zbMATH Keywords

elliptic curvesweight distributionsArtin-Schreier curvesternary Melas codesternary Zetterberg 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) Applications to coding theory and cryptography of arithmetic geometry (14G50)

Related Items (5)

Two classes of ternary LCD constacyclic BCH codes ⋮ On the moments of Kloosterman sums and fibre products of Kloosterman curves ⋮ A-codes from rational functions over Galois rings ⋮ Fibre products of Artin-Schreier curves and generalized Hamming weights of codes ⋮ Kloosterman sums and the \(p\)-torsion of certain Jacobians

Cites Work

• Hecke operators and the weight distributions of certain codes
• Nonsingular plane cubic curves over finite fields
• A duality theorem for the weight distribution of some cyclic codes
• Abelian varieties over finite fields
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• Unnamed Item

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