The Number of Rational Points On Genus 4 Hyperelliptic Supersingular Curves in Characteristic 2

Details The Number of Rational Points On Genus 4 Hyperelliptic Supersingular Curves in Characteristic 2 The Number of Rational Points On Genus 4 Hyperelliptic Supersingular Curves in Characteristic 2

2009-11-11

arxiv.org/abs/0911.2128v3

Mathematics

Algebraic Geometry

Scientific paper

One of the big questions in the area of curves over finite fields concerns the distribution of the numbers of points: Which numbers occur as the number of points on a curve of genus $g$? The same question can be asked of various subclasses of curves. In this article we classify the possibilities for the number of points on genus 4 hyperelliptic supersingular curves over finite fields of order $2^n$, $n$ odd.

Affiliated with

Also associated with

No associations

Rating

The Number of Rational Points On Genus 4 Hyperelliptic Supersingular Curves in Characteristic 2 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 The Number of Rational Points On Genus 4 Hyperelliptic Supersingular Curves in Characteristic 2, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Number of Rational Points On Genus 4 Hyperelliptic Supersingular Curves in Characteristic 2 will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-533681