Computing the trace of an endomorphism of a supersingular elliptic curve

We provide an explicit algorithm for computing the trace of an endomorphism of an elliptic curve which is given by a chain of small-degree isogenies. We analyze its complexity, determining that if the length of the chain, the degree of the isogenies, and the log of the field-size are all O(n), the t...

Full description

Bibliographic Details
Main Author: Wills, Michael Thomas
Other Authors: Mathematics
Format: Others
Published: Virginia Tech 2021
Subjects:
Online Access:http://hdl.handle.net/10919/103821