6 citations · 13 across the 5 of their papers we have counts for
3 papers · 1 filter
Generalized class group actions on oriented elliptic curves with level structure
Sarah Arpin, Wouter Castryck, Jonathan Komada Eriksen +2
We study a large family of generalized class groups of imaginary quadratic orders and prove that they act freely and (essentially) transitively on the set of primitively -or…
On the decisional Diffie-Hellman problem for class group actions on oriented elliptic curves
Wouter Castryck, Marc Houben, Frederik Vercauteren +1
We show how the Weil pairing can be used to evaluate the assigned characters of an imaginary quadratic order in an unknown ideal class $[\mathfrak{a}] \in \mathrm{Cl}…
Computing Zeta Functions of Nondegenerate Curves
Wouter Castryck, Jan Denef, Frederik Vercauteren
In this paper we present a p-adic algorithm to compute the zeta function of a nondegenerate curve over a finite field using Monsky-Washnitzer cohomology. The paper vastly generaliz…