6 citations · 13 across the 5 of their papers we have counts for
5 papers
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}…
BASALISC: Programmable Hardware Accelerator for BGV Fully Homomorphic Encryption
Robin Geelen, Michiel Van Beirendonck, Hilder V. L. Pereira +8
Fully Homomorphic Encryption (FHE) allows for secure computation on encrypted data. Unfortunately, huge memory size, computational cost and bandwidth requirements limit its practic…
Quantum Equivalence of the DLP and CDHP for Group Actions
Steven Galbraith, Lorenz Panny, Benjamin Smith +1
In this short note we give a polynomial-time quantum reduction from the vectorization problem (DLP) to the parallelization problem (CDHP) for group actions. Combined with the trivi…
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…