@inproceedings{e92874db3f79478d8b295ffefce6648d,
title = "Generating Pairing-friendly curves with the cm equation of degree 1",
abstract = "Refinements of the Brezing-Weng method have provided families of pairing-friendly curves with improved ρ-values by using non-cyclotomic polynomials that define cyclotomic fields. We revisit these methods via a change-of-basis matrix and completely classify a basis for a cyclotomic field to produce a family of pairing-friendly curves with a CM equation of degree 1. Using this classification, we propose a new algorithm to construct Brezing-Weng-like elliptic curves having the CM equation of degree 1, and we present new families of curves with larger discriminants.",
author = "Lee, {Hyang Sook} and Park, {Cheol Min}",
year = "2009",
doi = "10.1007/978-3-642-03298-1_5",
language = "English",
isbn = "3642032974",
series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",
pages = "66--77",
booktitle = "Pairing-Based Cryptography - Pairing 2009 - Third International Conference, Proceedings",
note = "null ; Conference date: 12-08-2009 Through 14-08-2009",
}