Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4583219 | Finite Fields and Their Applications | 2007 | 15 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory