International Association for Cryptologic Research

International Association
for Cryptologic Research

IACR News item: 30 July 2015

Yara Elias, Kristin E. Lauter, Ekin Ozman, Katherine E. Stange
ePrint Report ePrint Report
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 [EHL, ELOS] gives rise to

interesting questions about number fields. We extend these attacks and

survey related open problems in number theory, including spectral distortion of an algebraic number and its relationship to Mahler measure, the monogenic property for the ring of integers of a number field, and the size of elements of small order modulo q.

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