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REPORTS > AUTHORS > SHMUEL SAFRA AND JEAN-PIERRE SEIFERT.:
All reports by Author Shmuel Safra and Jean-Pierre Seifert.:

TR99-002 | 22nd January 1999
Oded Goldreich, Daniele Micciancio, Shmuel Safra and Jean-Pierre Seifert.

Approximating shortest lattice vectors is not harder than approximating closest lattice vectors.

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 ... more >>>




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