4 search results - page 1 / 1 » Ordinary abelian varieties having small embedding degree |
FFA
2007
13 years 5 months ago
2007
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 ...
ANTS
2008
Springer
13 years 7 months ago
2008
Springer
We present an algorithm that, on input of a CM-field K, an integer k 1, and a prime r 1 mod k, constructs a q-Weil number OK corresponding to an ordinary, simple abelian variety ...
PAIRING
2007
Springer
13 years 11 months ago
2007
Springer
We provide the first explicit construction of genus 2 curves over finite fields whose Jacobians are ordinary, have large prime-order subgroups, and have small embedding degree. ...
COMPGEOM
1996
ACM
13 years 9 months ago
1996
ACM
Fast C implementations of four geometric predicates, the 2D and 3D orientation and incircle tests, are publicly available. Their inputs are ordinary single or double precision flo...