Paper 2016/193

Security considerations for Galois non-dual RLWE families

Hao Chen and Kristin Lauter and Katherine E. Stange

Abstract

We explore further the hardness of the non-dual discrete variant of the Ring-LWE problem for various number rings, give improved attacks for certain rings satisfying some additional assumptions, construct a new family of vulnerable Galois number fields, and apply some number theoretic results on Gauss sums to deduce the likely failure of these attacks for 2-power cyclotomic rings and unramified moduli.

Note: Updating to published version.