Simple constructions for elliptic cubic curves with specified small numbers of points

DOI10.1016/S0195-6698(88)80004-0zbMath0659.51012OpenAlexW2002654821MaRDI QIDQ1112329

A. D. Keedwell

Publication date: 1988

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0195-6698(88)80004-0

zbMATH Keywords

desarguesian planeelliptic cubic curveHasse-Weil bounds

Mathematics Subject Classification ID

Finite affine and projective planes (geometric aspects) (51E15) Special algebraic curves and curves of low genus (14H45)

Related Items (4)

Some optimal codes from algebraic geometry and their covering radii ⋮ On some graphic characterizations of cubic curves in PG(2, 2) and in PG(2, 3) ⋮ On the completeness of plane cubic curves over finite fields ⋮ The singular absolutely irreducible cubics of PG(2, 3)

Cites Work

• On the number of points of elliptic curves over a finite field and a problem of B. Segre
• Nonsingular plane cubic curves over finite fields
• The number of points on an elliptic cubic curve over a finite field
• Abelian varieties over finite fields
• Unnamed Item
• Unnamed Item

This page was built for publication: Simple constructions for elliptic cubic curves with specified small numbers of points