Abstract | ||
---|---|---|
We determine the number of projectively inequivalent nonsingular plane cubic curves over a finite field F q with a fixed number of points defined over F q . We count these curves by counting elliptic curves over F q together with a rational point which is annihilated by 3, up to a certain equivalence relation. |
Year | DOI | Venue |
---|---|---|
1987 | 10.1016/0097-3165(87)90003-3 | J. Comb. Theory, Ser. A |
Keywords | Field | DocType |
cubic curve,finite field,nonsingular plane | Finite field,Equivalence relation,Combinatorics,Invertible matrix,Rational point,Mathematics,Elliptic curve | Journal |
Volume | Issue | ISSN |
46 | 2 | Journal of Combinatorial Theory, Series A |
Citations | PageRank | References |
72 | 25.41 | 2 |
Authors | ||
1 |
Name | Order | Citations | PageRank |
---|---|---|---|
René Schoof | 1 | 112 | 32.70 |