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Relative to a Random Oracle, NP Is Not Small

โœ Scribed by Steven M. Kautz; Peter Bro Miltersen


Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
749 KB
Volume
53
Category
Article
ISSN
0022-0000

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๐Ÿ“œ SIMILAR VOLUMES


Approximating the SVP to within a Factor
โœ Jin-Yi Cai; Ajay Nerurkar ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 172 KB

Recently Ajtai showed that to approximate the shortest lattice vector in the l 2 -norm within a factor (1+2 &dim k ), for a sufficiently large constant k, is NP-hard under randomized reductions. We improve this result to show that to approximate a shortest lattice vector within a factor (1+dim &= ),