Further examples of maximal curves
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Publication:1008771
DOI10.1016/j.jpaa.2008.11.037zbMath1166.11017OpenAlexW1998952506MaRDI QIDQ1008771
Juscelino Bezerra, Luciane Quoos, Miriam Abdon
Publication date: 30 March 2009
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.2008.11.037
Rational points (14G05) Curves over finite and local fields (11G20) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10)
Related Items (11)
Multi-point codes from the GGS curves ⋮ On maximal curves which are not Galois subcovers of the Hermitian curve ⋮ The automorphism groups of a family of maximal curves ⋮ Further examples of maximal curves which cannot be covered by the Hermitian curve ⋮ On the number of rational points on Artin-Schreier hypersurfaces ⋮ On additive polynomials and certain maximal curves ⋮ On maximal curves that are not quotients of the Hermitian curve ⋮ A generalization of the Giulietti–Korchmáros maximal curve ⋮ Locally recoverable codes with availability \(t\geq 2\) from fiber products of curves ⋮ On certain self-orthogonal AG codes with applications to quantum error-correcting codes ⋮ The curve \(y^n=x^\ell(x^m+1)\) over finite fields. II
Cites Work
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- On maximal curves
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- The genus of curves over finite fields with many rational points
- A maximal curve which is not a Galois subcover of the Hermitian curve
- A characterization of Hermitian function fields over finite fields.
- Curves of large genus covered by the hermitian curve
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