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Euclidean SVP is deterministically NP-hard to approximate within any constant factor

Wan, Daqing
arXiv (All) · Papers
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computational-complexitynumber-theory
We prove that, for every constant $ρ>1$, the Euclidean shortest vector problem is NP-hard to approximate within any constant factor $ρ$ under a deterministic polynomial-time many-one reduction. This extends our previous deterministic NP-hardness result from $ρ<\sqrt 2$ to arbitrary constants and giv
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