21st Annual IEEE Conference on Computational Complexity (CCC'06)
Hardness of the Covering Radius Problem on Lattices
Prague, Czech Republic
July 16-July 20
ISBN: 0-7695-2596-2
We provide the first hardness result for the Covering Radius Problem on lattices (CRP). Namely, we show that for any large enough p \leqslant \infty there exists a constant cp gt 1 such that CRP in the \ell \rho norm is \Pi?_2-hard to approximate to within any constant less than c_p.