18 citations · 24 across the 7 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-…
On the Selmer group attached to a modular form and an algebraic Hecke character
Yara Elias
We construct an Euler system of generalized Heegner cycles to bound the Selmer group associated to a modular form and an algebraic Hecke character. The main argument is based on Ko…
Kolyvagin's method for Chow groups of Kuga-Sato varieties over ring class fields
Yara Elias
We use an Euler system of Heegner cycles to bound the Selmer group associated to a modular form of higher even weight twisted by a ring class character. This is an extension of Nek…
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…