Wiman's and Edge's sextics attaining Serre's bound

DOI10.1007/s40879-017-0147-3zbMath1397.11112OpenAlexW2614448980MaRDI QIDQ1746637

Motoko Qiu Kawakita

Publication date: 25 April 2018

Published in: European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40879-017-0147-3

zbMATH Keywords

rational pointssexticsalgebro-geometric codes

Mathematics Subject Classification ID

Rational points (14G05) Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Curves over finite and local fields (11G20) Applications to coding theory and cryptography of arithmetic geometry (14G50)

Related Items (3)

New sextics of genus 6 and 10 attaining the Serre bound ⋮ An \(\mathbb{F}_{p^2 } \)-maximal Wiman sextic and its automorphisms ⋮ New examples of maximal curves with low genus

Uses Software

• manYPoints

Cites Work

• Mumford curves with maximal automorphism group. II: Lamé type groups in genus 5-8
• Certain sextics with many rational points
• On the geometry of Wiman's sextic
• Wiman’s and Edge’s sextic attaining Serre’s bound II
• A generalization of the Giulietti–Korchmáros maximal curve
• The Arithmetic of Elliptic Curves
• ON QUOTIENT CURVES OF THE FERMAT CURVE OF DEGREE TWELVE ATTAINING THE SERRE BOUND
• A pencil of four-nodal plane sextics
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