Construction of Rational Points on Elliptic Curves over Finite Fields

نویسندگان

  • Andrew Shallue
  • Christiaan van de Woestijne
چکیده

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.

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تاریخ انتشار 2006