The number of points on an elliptic curve with square x-coordinates

Details The number of points on an elliptic curve with square x-coordinates The number of points on an elliptic curve with square x-coordinates

2009-12-30

arxiv.org/abs/0912.5501v2

Mathematics

Number Theory

2 pages, this result generalizes my old paper posted 30 Dec 2009. Comments are welcome

Scientific paper

Let K be a finite field. We know that a half of elements of K* is a square.
So it is natural to ask how many of them appear as x-coordinate of points on an
elliptic curve over K. We consider a specific class of elliptic curves over
finite fields and show that a half of x-coordinate on an elliptic curve is a
square. This result generalizes my old paper posted 30 Dec 2009.

Affiliated with

Also associated with

No associations

Rating

The number of points on an elliptic curve with square x-coordinates 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 points on an elliptic curve with square x-coordinates, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The number of points on an elliptic curve with square x-coordinates will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-34322