Pseudorandomness of Ring-LWE for Any Ring and Modulus

被引：94

作者：

Peikert, Chris ^{[1
]}

Regev, Oded ^{[2
]}

Stephens-Davidowitz, Noah ^{[2
]}

机构：

[1] Univ Michigan, Ann Arbor, MI 48109 USA

[2] NYU, 550 1St Ave, New York, NY 10012 USA

来源：

STOC'17: PROCEEDINGS OF THE 49TH ANNUAL ACM SIGACT SYMPOSIUM ON THEORY OF COMPUTING | 2017年

基金：

美国国家科学基金会;

关键词：

Learning with Errors; lattices; FULLY HOMOMORPHIC ENCRYPTION; AVERAGE-CASE REDUCTIONS; BOUNDS;

D O I：

10.1145/3055399.3055489

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We give a polynomial-time quantum reduction from worst-case (ideal) lattice problems directly to decision (Ring-) LWE. This extends to decision all the worst-case hardness results that were previously known for the search version, for the same or even better parameters and with no algebraic restrictions on the modulus or number field. Indeed, our reduction is the first that works for decision Ring- LWE with any number field and any modulus.

引用

页码：461 / 473

页数：13

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