Explicit equations for maximal curves as subcovers of the \(BM\) curve

DOI10.1016/j.ffa.2021.101945zbMath1475.11126OpenAlexW3206739018MaRDI QIDQ2667083

Luciane Quoos, Erik A. R. Mendoza

Publication date: 23 November 2021

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ffa.2021.101945

zbMATH Keywords

function fieldsmaximal curves

Mathematics Subject Classification ID

Curves over finite and local fields (11G20) Algebraic functions and function fields in algebraic geometry (14H05)

Related Items (2)

Maximal curves and Tate-Shafarevich results for quartic and sextic twists ⋮ On Kummer extensions with one place at infinity

Cites Work

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• One- and Two-Point Codes Over Kummer Extensions
• Two-Point AG Codes on the GK Maximal Curves
• Algebraic Function Fields and Codes
• A generalization of the Giulietti–Korchmáros maximal curve
• A new family of maximal curves
• The automorphism group of the generalized Giulietti–Korchmáros function field
• Complete arcs arising from a generalization of the Hermitian curve
• Quotient curves of the Suzuki curve
• Weierstrass semigroups at every point of the Suzuki curve

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