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 $\rho$ value than the ones in previous results.
Metadata
- Available format(s)
- -- withdrawn --
- Category
- Implementation
- Publication info
- Published elsewhere. Unknown where it was published
- Keywords
- pairingpairing-friendly elliptic curvesembedding degreeelliptic curveBrezing-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- 2009-08-26: withdrawn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
