Chapter

The LLL Algorithm

Part of the series Information Security and Cryptography pp 453-473

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Inapproximability Results for Computational Problems on Lattices

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Abstract

In this article, we present a survey of known inapproximability results for computational problems on lattices, viz. the Shortest Vector Problem (SVP), the Closest Vector Problem (CVP), the Closest Vector Problem with Preprocessing (CVPP), the Covering Radius Problem (CRP), the Shortest Independent Vectors Problem (SIVP), and the Shortest Basis Problem (SBP).