Further examples of maximal curves which cannot be covered by the Hermitian curve

DOI10.1016/j.jpaa.2015.08.010zbMath1401.11111OpenAlexW1792276263MaRDI QIDQ890656

Arnoldo Teherán-Herrera, Fernando Torres, Saeed Tafazolian

Publication date: 10 November 2015

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2015.08.010

Mathematics Subject Classification ID

Arithmetic ground fields for curves (14H25) Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Curves over finite and local fields (11G20) Finite ground fields in algebraic geometry (14G15) Zeta and (L)-functions in characteristic (p) (11M38)

Related Items (14)

Maximal curves from subcovers of the GK-curve ⋮ On maximal curves related to Chebyshev polynomials ⋮ Some Ree and Suzuki curves are not Galois covered by the Hermitian curve ⋮ Explicit equations for maximal curves as subcovers of the \(BM\) curve ⋮ On the curve \(Y^n= X^{\ell}(X^m + 1)\) over finite fields ⋮ New sextics of genus 6 and 10 attaining the Serre bound ⋮ Generalized Weierstrass semigroups at several points on certain maximal curves which cannot be covered by the Hermitian curve ⋮ A note on certain maximal curves ⋮ On space maximal curves ⋮ New examples of maximal curves with low genus ⋮ On the spectrum for the genera of maximal curves over small fields ⋮ \(\mathbb{F}_{p^2}\)-maximal curves with many automorphisms are Galois-covered by the Hermitian curve ⋮ On the classification problem for the genera of quotients of the Hermitian curve ⋮ Weierstrass semigroup at \(m+1\) rational points in maximal curves which cannot be covered by the Hermitian curve

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