More Discriminants with the Brezing-Weng Method

Gaetan Bisson; Takakazu Satoh

Paper 2008/137 Original: eprint.iacr.org/2008/137 ↗

More Discriminants with the Brezing-Weng Method

Gaetan Bisson

Takakazu Satoh

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.

Metadata

Available format(s): PDF
Category: Foundations
Publication info: Preprint.
History: 2008-06-12: last updated; 2008-03-31: published
Short URL: https://ia.cr/2008/137
License: https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2008/137,
      author = {Gaetan Bisson and Takakazu Satoh},
      title = {More Discriminants with the Brezing-Weng Method},
      howpublished = {Cryptology {ePrint} Archive, Paper 2008/137},
      year = {2008},
      url = {https://eprint.iacr.org/2008/137}
}