SVP in any finite ℓ_p norm is hard to approximate within 2^{(log n)^{1-o(1)}} via deterministic reduction assuming NP not in subexponential time.
Then there exists a subsetΠ ′ ⊆Πof at most half the locations in the proof such that Pr Q [Q⊆Π ′]≥(1−O(1/d))·(1/2) d−1
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Deterministic Hardness of Approximation For SVP in all Finite $\ell_p$ Norms
SVP in any finite ℓ_p norm is hard to approximate within 2^{(log n)^{1-o(1)}} via deterministic reduction assuming NP not in subexponential time.