Oded Goldreich

We show simple constant-round interactive proof systems for

problems capturing the approximability, to within a factor of $\sqrt{n}$,

of optimization problems in integer lattices; specifically,

the closest vector problem (CVP), and the shortest vector problem (SVP).

These interactive proofs are for the ``coNP direction'';

that is, ...
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Oded Goldreich, Daniele Micciancio, Shmuel Safra and Jean-Pierre Seifert.

We show that given oracle access to a subroutine which

returns approximate closest vectors in a lattice, one may find in

polynomial-time approximate shortest vectors in a lattice.

The level of approximation is maintained; that is, for any function

$f$, the following holds:

Suppose that the subroutine, on input a ...
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