On the Efficacy of Solving LWE by Reduction to Unique-SVP

被引:35
作者
Albrecht, Martin R. [1 ]
Fitzpatrick, Robert [2 ]
Goepfert, Florian [3 ]
机构
[1] Tech Univ Denmark, DK-2800 Lyngby, Denmark
[2] Univ London, Royal Holloway, ISG, Egham, Surrey, England
[3] Tech Univ Darmstadt, CASED, Darmstadt, Germany
来源
INFORMATION SECURITY AND CRYPTOLOGY - ICISC 2013 | 2014年 / 8565卷
关键词
LATTICES;
D O I
10.1007/978-3-319-12160-4_18
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
We present a study of the concrete complexity of solving instances of the unique shortest vector problem (uSVP). In particular, we study the complexity of solving the Learning with Errors (LWE) problem by reducing the Bounded-Distance Decoding (BDD) problem to uSVP and attempting to solve such instances using the 'embedding' approach. We experimentally derive a model for the success of the approach, compare to alternative methods and demonstrate that for the LWE instances considered in this work, reducing to uSVP and solving via embedding compares favorably to other approaches.
引用
收藏
页码:293 / 310
页数:18
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