33 citations · 218 across the 26 of their papers we have counts for
4 papers · 1 filter
Ring-LWE Cryptography for the Number Theorist
Yara Elias, Kristin E. Lauter, Ekin Ozman +1
In this paper, we survey the status of attacks on the ring and polynomial learning with errors problems (RLWE and PLWE). Recent work on the security of these problems [Eisenträger-…
The Apollonian structure of Bianchi groups
Katherine E. Stange
We study the orbit of under the Möbius action of the Bianchi group on , where is…
Arithmetic properties of the Frobenius traces defined by a rational abelian variety (with two appendices by J-P. Serre)
Alina Carmen Cojocaru, Rachel Davis, Alice Silverberg +1
Let be an abelian variety over of dimension such that the image of its associated absolute Galois representation is open in $\operatorname{GSp}_{2g}(\hat…
Provably weak instances of Ring-LWE
Yara Elias, Kristin E. Lauter, Ekin Ozman +1
The ring and polynomial learning with errors problems (Ring-LWE and Poly-LWE) have been proposed as hard problems to form the basis for cryptosystems, and various security reductio…