International Association for Cryptologic Research

International Association
for Cryptologic Research

CryptoDB

Angela Murphy

Publications

Year
Venue
Title
2005
EPRINT
Elliptic Curves for Pairing Applications
Angela Murphy Noel Fitzpatrick
In this paper we address the question of representing the discriminant of an imaginary quadratic field with respect to the basis of a cyclotomic field. This representation allows us to parameterize new families of ordinary elliptic curves over finite prime fields suitable for pairing applications. In particular these curves have small discriminants greater than four and arbitrary embedding degree. Computational results are presented which support the theoretical findings.

Coauthors

Noel Fitzpatrick (1)