Publication Date

January 2007


Dissertation for Doctor of Philosophy (Mathematics) at the University of Wisconsin – Madison.


This thesis contains work on two problems in algorithmic number theory. The first problem is to give an algorithm that constructs a rational point on an elliptic curve over a finite field. A fast and easy randomized algorithm has existed for some time. We prove that in the case where the finite field has characteristic 2, there is a deterministic algorithm with the same asymptotic running time as the existing randomized algorithm.


Mathematics | Number Theory

Included in

Number Theory Commons