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-- withdrawn --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2009-08-26: withdrawn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
Creative Commons Attribution
CC BY
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