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Paper 2004/365
Ordinary abelian varieties having small embedding degree
Steven D. Galbraith, and J. McKee and P. Valenca
Abstract
Miyaji, Nakabayashi and Takano (MNT) gave families of group orders of ordinary elliptic curves with embedding degree suitable for pairing applications. In this paper we generalise their results by giving families corresponding to non-prime group orders. We also consider the case of ordinary abelian varieties of dimension 2. We give families of group orders with embedding degrees 5, 10 and 12.
Metadata
- Available format(s)
- PDF PS
- Category
- Public-key cryptography
- Publication info
- Published elsewhere. Unknown where it was published
- Keywords
- elliptic curveshyperelliptic curvespairings
- Contact author(s)
- Steven Galbraith @ rhul ac uk
- History
- 2004-12-20: received
- Short URL
- https://ia.cr/2004/365
- License
-
CC BY