[Resource Topic] 2004/365: Ordinary abelian varieties having small embedding degree

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Ordinary abelian varieties having small embedding degree

Authors: Steven D. Galbraith, J. McKee, P. Valenca


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.

ePrint: https://eprint.iacr.org/2004/365

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