Yet More Projective Curves Over F2
Number Theory
2025-10-20 v1 Numerical Analysis
Numerical Analysis
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.
Cite
@article{arxiv.math/0105262,
title = {Yet More Projective Curves Over F2},
author = {Chris Lomont},
journal= {arXiv preprint arXiv:math/0105262},
year = {2025}
}