Plane curves with many points over finite fields

DOI10.1216/rmjm/1181069798zbMath1066.14025OpenAlexW2014180779MaRDI QIDQ1767341

José Felipe Voloch, Matthew L. Carlin

Publication date: 10 March 2005

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181069798

zbMATH Keywords

finite fieldsrational pointsoptimal curves

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Curves over finite and local fields (11G20) Finite ground fields in algebraic geometry (14G15)

Related Items

Plane sections of Fermat surfaces over finite fields, Number of rational branches of a singular plane curve over a finite field, Highest numbers of points of hypersurfaces over finite fields and generalized Reed-Muller codes

Cites Work

• Constructions of plane curves with many points
• Weierstrass Points and Curves Over Finite Fields
• On Certain Plane Curves with Many Integral Points
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