Counting points of the curve \(y^2=x^{12}+a\) over a finite field

DOI10.3836/tjm/1219844824zbMath1235.11059OpenAlexW2018886473MaRDI QIDQ946983

Yasuhiro Niitsuma

Publication date: 29 September 2008

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3836/tjm/1219844824

zbMATH Keywords

finite fieldhyperelliptic curvesnumber of rational pointscongruence zeta functions

Mathematics Subject Classification ID

Rational points (14G05) Curves over finite and local fields (11G20) Finite ground fields in algebraic geometry (14G15) Gauss and Kloosterman sums; generalizations (11L05) Other character sums and Gauss sums (11T24)

Related Items (2)

New examples of maximal curves with low genus ⋮ Character sums, Gaussian hypergeometric series, and a family of hyperelliptic curves

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On Fermat varieties
• Idempotent relations and factors of Jacobians
• Simple Factors of the Jacobian of a Fermat Curve and the Picard Number of a Product of Fermat Curves
• Lattice basis reduction, Jacobi sums and hyperelliptic cryptosystems
• Selected Areas in Cryptography
• Jacobi Sums as "Grossencharaktere"

This page was built for publication: Counting points of the curve \(y^2=x^{12}+a\) over a finite field