On Kummer covers with many rational points over finite fields.

DOI10.1016/S0022-4049(03)00110-5zbMath1101.14303OpenAlexW2030769732MaRDI QIDQ1414059

Alvaro Garzon, Arnaldo Garcia

Publication date: 19 November 2003

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

Full work available at URL: https://doi.org/10.1016/s0022-4049(03)00110-5

Mathematics Subject Classification ID

Arithmetic ground fields for curves (14H25) Curves over finite and local fields (11G20) Finite ground fields in algebraic geometry (14G15)

Related Items (9)

Bases of Riemann-Roch spaces from Kummer extensions and algebraic geometry codes ⋮ On Fibre Products of Kummer Curves with Many Rational Points over Finite Fields ⋮ Reciprocal polynomials and curves with many points over a finite field ⋮ A generalization of Baker's theorem ⋮ Rational places in extensions and sequences of function fields of Kummer type ⋮ Finite number of fibre products of Kummer covers and curves with many points over finite fields ⋮ Fibre products of Kummer covers and curves with many points ⋮ A new family of maximal curves over a finite field ⋮ Further results on fibre products of Kummer covers and curves with many points over finite fields

Cites Work

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• Algebraic function fields and codes
• On the genus of a maximal curve
• On maximal curves in characteristic two
• On maximal curves
• Kummer covers with many points
• A construction of curves over finite fields
• A characterization of Hermitian function fields over finite fields.
• Tables of curves with many points

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