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Ordinary abelian varieties having small embedding degree
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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. |
BibTeX
@misc{eprint-2004-12328, title={Ordinary abelian varieties having small embedding degree}, booktitle={IACR Eprint archive}, keywords={public-key cryptography / elliptic curves, hyperelliptic curves, pairings}, url={http://eprint.iacr.org/2004/365}, note={ Steven.Galbraith@rhul.ac.uk 12768 received 16 Dec 2004}, author={Steven D. Galbraith and J. McKee and P. Valenca}, year=2004 }