14 citations · 15 across the 4 of their papers we have counts for
4 papers
Supersingular elliptic curves and twisting endomorphisms
Sarah Arpin, Josep M. Miret, Jordi Pujolàs +1
We generalize the notion of twisting endomorphisms, first defined by Castryck-Panny-Vercauteran, to the setting of -oriented supersingular elliptic curves. We give an…
On l-th roots and division by l
Josep M. Miret, Jordi Pujolàs, Nicolas Thériault
We give a characterization of the codomain of the multiplication-by- map in the case of elliptic curves over a field of characteristic wit…
Distortion maps for genus two curves
Steven D. Galbraith, Jordi Pujolàs, Christophe Ritzenthaler +1
Distortion maps are a useful tool for pairing based cryptography. Compared with elliptic curves, the case of hyperelliptic curves of genus g > 1 is more complicated since the full…
Curves of genus two over fields of even characteristic
Gabriel Cardona, Enric Nart, Jordi Pujolas
In this paper we classify curves of genus two over a perfect field k of characteristic two. We find rational models of curves with a given arithmetic structure for the ramification…