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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
Ishay Haviv, Tel Aviv University, Israel
Oded Regev, Tel Aviv University, Israel
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.
Citation:
Ishay Haviv, Oded Regev, "Hardness of the Covering Radius Problem on Lattices," ccc, pp.145-158, 21st Annual IEEE Conference on Computational Complexity (CCC'06), 2006
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