On curves over finite fields with many rational points

Details On curves over finite fields with many rational points On curves over finite fields with many rational points

1996-03-14

arxiv.org/abs/alg-geom/9603013v1

Mathematics

Algebraic Geometry

LaTex2e, 10 pages

Scientific paper

We study arithmetical and geometrical properties of {\it maximal curves},
that is, curves defined over the finite field $\mathbb F_{q^2}$ whose number of
$\mathbb F_{q^2}$-rational points reachs the Hasse-Weil upper bound. Under a
hypothesis on non-gaps at rational points we prove that maximal curves are
$\mathbb F_{q^2}$-isomorphic to $y^q+y=x^m$ for some $m\in \mathbb Z^+$.

Affiliated with

Also associated with

No associations

Rating

On curves over finite fields with many rational points does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On curves over finite fields with many rational points, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On curves over finite fields with many rational points will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-340167