Pairing-Friendly Elliptic Curves With Various Discriminants

Woo Sug Kang; Ki Taek Kim

Paper 2009/404

Pairing-Friendly Elliptic Curves With Various Discriminants

Woo Sug Kang and Ki Taek Kim

Abstract

In this paper, we extend the Brezing-Weng method by parameterizing the discriminant $D$ by a polynomial $D (x)$ and give a construction of families of pairing-friendly elliptic curves with various discriminants. For $k =$ 5, 8, 9, 15, 16, 20, 24 and 28, our method gives smaller $ρ$ value than the ones in previous results.

Metadata

Available format(s): -- withdrawn --
Category: Implementation
Publication info: Published elsewhere. Unknown where it was published
Keywords: pairing pairing-friendly elliptic curves embedding degree elliptic curve Brezing-Weng method
Contact author(s): wsgkang @ korea ac kr
History: 2009-08-26: withdrawn; 2009-08-24: received; See all versions
Short URL: https://ia.cr/2009/404
License: CC BY