SVP , Gram - Schmidt , LLL

نویسندگان

  • Chris Peikert
  • Hank Carter
چکیده

Last time we defined the minimum distance λ1(L) of a lattice L, and showed that it is upper bounded by √ n · det(L)1/n (Minkowski’s theorem), but this bound is often very loose. Some natural computational questions are: given a lattice (specified by some arbitrary basis), can we compute its minimum distance? Can we find a vector that achieves this distance? Can we find good approximations to these? These are all versions of the Shortest Vector Problem, which we now define formally.

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تاریخ انتشار 2013