Yet More Projective Curves Over F2
Abstract
All binary plane curves of degree less than 7 are examined for curves with a large number of Fq rational points on their smooth model, for q = 2^m ; m = 3, 4,...,11. Previous results are improved, and many new curves are found meeting or close to Serre's, Lauter's, and Ihara's upper bounds.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- May 2001
- DOI:
- 10.48550/arXiv.math/0105262
- arXiv:
- arXiv:math/0105262
- Bibcode:
- 2001math......5262L
- Keywords:
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- Number Theory;
- Numerical Analysis