Abstract | ||
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All plane curves of degree less than 7 with coefficients in F-2 are examined for curves with a large number of F-q rational points on their smooth model, for q = 2(m), m = 3, 4,..., 11. Known lower bounds are improved, and new curves are found meeting or close to Serre's, Lauter's, and Ihara's upper bounds for the maximal number of F-q rational points on a curve of genus g. |
Year | DOI | Venue |
---|---|---|
2002 | 10.1080/10586458.2002.10504705 | EXPERIMENTAL MATHEMATICS |
Keywords | Field | DocType |
error correcting codes,low genus curves,curves over finite fields | Discrete mathematics,Family of curves,Plane curve,Rational point,Mathematics,Projective test | Journal |
Volume | Issue | ISSN |
11.0 | 4.0 | 1058-6458 |
Citations | PageRank | References |
0 | 0.34 | 2 |
Authors | ||
1 |
Name | Order | Citations | PageRank |
---|---|---|---|
Chris Lomont | 1 | 0 | 0.34 |