Publication Date
January 2006
Abstract
We give a deterministic polynomial-time algorithm that computes a nontrivial rational point on an elliptic curve over a finite field, given a Weierstrass equation for the curve. For this, we reduce the problem to the task of finding a rational point on a curve of genus zero.
Disciplines
Mathematics | Number Theory
Recommended Citation
Shallue, Andrew and van de Woestijne, Christiaan, "Construction of Rational Points on Elliptic Curves over Finite Fields" (2006). Scholarship. 72.
https://digitalcommons.iwu.edu/math_scholarship/72
Comments
Proceedings of the 7th International Algorithmic Number Theory Symposium, ANTS 2006. Published by Springer, http://www.springer.com/computer/theoretical+computer+science/book/978-3-540-36075-9.