Yet More Projective Curves over \field{2}
Lomont, Chris
Experiment. Math., Tome 11 (2002) no. 3, p. 547-554 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
All plane curves of degree less than 7 with coefficients in $\field{2}$ are examined for curves with a large number of $\field{q}$ 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 $\field{q}$ rational points on a curve of genus g.
Publié le : 2002-05-14
Classification:  Error correcting codes,  low genus curves,  curves over finite fields,  14H45,  11T71,  94B 
@article{1057864663,
     author = {Lomont, Chris},
     title = {Yet More Projective Curves over \field{2}},
     journal = {Experiment. Math.},
     volume = {11},
     number = {3},
     year = {2002},
     pages = { 547-554},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1057864663}
}

Lomont, Chris. Yet More Projective Curves over \field{2}. Experiment. Math., Tome 11 (2002) no. 3, pp.  547-554. http://gdmltest.u-ga.fr/item/1057864663/