More Discriminants with the Brezing-Weng Method
Number Theory
2013-02-19 v2
Abstract
The Brezing-Weng method is a general framework to generate families of pairing-friendly elliptic curves. Here, we introduce an improvement which can be used to generate more curves with larger discriminants. Apart from the number of curves this yields, it provides an easy way to avoid endomorphism rings with small class number.
Cite
@article{arxiv.0803.3894,
title = {More Discriminants with the Brezing-Weng Method},
author = {Gaetan Bisson and Takakazu Satoh},
journal= {arXiv preprint arXiv:0803.3894},
year = {2013}
}