The maximum number of rational points for a genus 4 curve over F_7 is 24

Details The maximum number of rational points for a genus 4 curve over F_7 is 24 The maximum number of rational points for a genus 4 curve over F_7 is 24

2010-05-25

arxiv.org/abs/1005.4660v1

Mathematics

Number Theory

10 pages

Scientific paper

In this paper we show that the maximum number of rational points possible for a smooth, projective, absolutely irreducible genus 4 curve over a finite field F_7 is 24. It is known that a genus 4 curve over F_7 can have at most 25 points. In this paper we prove that such a curve can have at most 24. On the other hand we provide an explicit example of a genus 4 curve over F_7 having 24 points.

Affiliated with

Also associated with

No associations

Rating

The maximum number of rational points for a genus 4 curve over F_7 is 24 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 maximum number of rational points for a genus 4 curve over F_7 is 24, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The maximum number of rational points for a genus 4 curve over F_7 is 24 will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-298843