All reports by Author Preyas Popat:

__
TR11-119
| 4th September 2011
__

Subhash Khot, Preyas Popat, Nisheeth Vishnoi#### $2^{\log^{1-\epsilon} n}$ Hardness for Closest Vector Problem with Preprocessing

Subhash Khot, Preyas Popat, Nisheeth Vishnoi

We prove that for an arbitrarily small constant $\eps>0,$ assuming NP$\not \subseteq$DTIME$(2^{{\log^{O(1/\epsilon)} n}})$, the preprocessing versions of the closest vector problem and the nearest codeword problem are hard to approximate within a factor better than $2^{\log ^{1-\epsilon}n}.$ This improves upon the previous hardness factor of $(\log n)^\delta$ for some $\delta ... more >>>