International Association for Cryptologic Research

International Association
for Cryptologic Research

IACR News item: 06 October 2014

Kirsten Eisentraeger, Sean Hallgren, Kristin Lauter
ePrint Report ePrint Report
In this paper we present a new attack on the polynomial version of the Ring-LWE assumption, for certain carefully chosen number fields. This variant of RLWE, introduced in [BV11] and called the PLWE assumption, is known to be as hard as the RLWE assumption for 2-power cyclotomic number fields, and for cyclotomic number fields in general with a small cost in terms of error growth. For general number fields, we articulate the relevant properties and prove security reductions for number fields with those properties. We then present an attack on PLWE for number fields satisfying certain properties.

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