5 citations · 5 across the 1 of their papers we have counts for
2 papers
math.NT2011
Complete addition laws on abelian varieties
Christophe Arene, David Kohel, Christophe Ritzenthaler
We prove that under any projective embedding of an abelian variety A of dimension g, a complete system of addition laws has cardinality at least g+1, generalizing of a result of Bo…
math.NT2009★ 5 cited
Faster computation of the Tate pairing
Christophe Arene, Tanja Lange, Michael Naehrig +1
This paper proposes new explicit formulas for the doubling and addition step in Miller's algorithm to compute the Tate pairing. For Edwards curves the formulas come from a new way…