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» Abelian Varieties with Prescribed Embedding Degree
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ANTS
2008
Springer
115views Algorithms» more  ANTS 2008»
13 years 7 months ago
Abelian Varieties with Prescribed Embedding Degree
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 ...
David Freeman, Peter Stevenhagen, Marco Streng
FFA
2007
85views more  FFA 2007»
13 years 4 months ago
Ordinary abelian varieties having small embedding degree
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 ...
Steven D. Galbraith, James F. McKee, P. C. Valen&c...