Skip to main content
Article thumbnail
Location of Repository

The Number of Rational Points on Elliptic Curves and Circles over Finite Fields

By Betül Gezer, Ahmet Tekcan and Osman Bizim

Abstract

Abstract—In elliptic curve theory, number of rational points on elliptic curves and determination of these points is a fairly important problem. Let p be a prime and Fp be a finite field and k ∈ Fp. It is well known that which points the curve y 2 = x 3 + kx has and the number of rational points of on Fp. Consider the circle family x 2 + y 2 = r 2. It can be interesting to determine common points of these two curve families and to find the number of these common points. In this work we study this problem. Keywords—Elliptic curves over finite fields, rational points on elliptic curves and circles. I

Year: 2013
OAI identifier: oai:CiteSeerX.psu:10.1.1.307.2984
Provided by: CiteSeerX
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • http://citeseerx.ist.psu.edu/v... (external link)
  • http://www.waset.org/journals/... (external link)
  • Suggested articles


    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.