On the structure of the divisor class group of a class of curves over finite fields

DOI10.1007/BF01270693zbMath0874.11045MaRDI QIDQ1898870

Henning Stichtenoth, Xing, Chaoping

Publication date: 29 October 1996

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

Jacobian\(L\)-functionFrobeniusdivisor class groupcurve over a finite field

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Curves over finite and local fields (11G20)

Related Items (6)

Efficiently Computable Distortion Maps for Supersingular Curves ⋮ On the enumeration of irreducible polynomials over \(\mathrm{GF}(q)\) with prescribed coefficients ⋮ Fully maximal and fully minimal abelian varieties ⋮ Tate and Ate pairings for \(y^2=x^5-\alpha x\) in characteristic five ⋮ The number of rational points on hyperelliptic supersingular curves of genus 4 in characteristic 2 ⋮ An alternative proof of a result on the weight divisibility of a cyclic code using supersingular curves

Cites Work

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• Hyperelliptic cryptosystems
• Group codes on certain algebraic curves with many rational points
• Endomorphisms of Abelian varieties over finite fields
• A characterization of Hermitian function fields over finite fields.
• Abelian varieties over finite fields
• Die Hasse-Witt-Invariante eines Kongruenzfunktionenkörpers

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