Hardness of Approximating the Closest Vector Problem with Pre-Processing

Mikhail Alekhnovich; Subhash A. Khot; Guy Kindler; Nisheeth K. Vishnoi

doi:https://doi.org/10.1007/s00037-011-0031-3

Hardness of Approximating the Closest Vector Problem with Pre-Processing

Mikhail Alekhnovich, Subhash A. Khot, Guy Kindler, Nisheeth K. Vishnoi

The Rachel and Selim Benin School of Engineering and Computer Science

The Hebrew University of Jerusalem

Research output: Contribution to journal › Article › peer-review

Abstract

We show that the pre-processing versions of the closest vector problem and the nearest codeword problem are NP-hard to approximate within any constant factor.

Original language	English
Pages (from-to)	741-753
Number of pages	13
Journal	Computational Complexity
Volume	20
Issue number	4
DOIs	https://doi.org/10.1007/s00037-011-0031-3
State	Published - Dec 2011

Keywords

Lattices
approximation
codes
hardness
preprocessing

All Science Journal Classification (ASJC) codes

Computational Mathematics
Theoretical Computer Science
Computational Theory and Mathematics
General Mathematics

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https://doi.org/10.1007/s00037-011-0031-3

Cite this

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title = "Hardness of Approximating the Closest Vector Problem with Pre-Processing",

abstract = "We show that the pre-processing versions of the closest vector problem and the nearest codeword problem are NP-hard to approximate within any constant factor.",

keywords = "Lattices, approximation, codes, hardness, preprocessing",

author = "Mikhail Alekhnovich and Khot, {Subhash A.} and Guy Kindler and Vishnoi, {Nisheeth K.}",

year = "2011",

month = dec,

doi = "https://doi.org/10.1007/s00037-011-0031-3",

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AU - Alekhnovich, Mikhail

AU - Khot, Subhash A.

AU - Kindler, Guy

AU - Vishnoi, Nisheeth K.

PY - 2011/12

Y1 - 2011/12

N2 - We show that the pre-processing versions of the closest vector problem and the nearest codeword problem are NP-hard to approximate within any constant factor.

AB - We show that the pre-processing versions of the closest vector problem and the nearest codeword problem are NP-hard to approximate within any constant factor.

KW - Lattices

KW - approximation

KW - codes

KW - hardness

KW - preprocessing

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U2 - https://doi.org/10.1007/s00037-011-0031-3

DO - https://doi.org/10.1007/s00037-011-0031-3

M3 - مقالة

SN - 1016-3328

VL - 20

SP - 741

EP - 753

JO - Computational Complexity

JF - Computational Complexity

IS - 4

ER -

Hardness of Approximating the Closest Vector Problem with Pre-Processing

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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