A Lattice Basis Reduction Algorithm ∗

نویسندگان

  • Franklin T. Luk
  • Sanzheng Qiao
  • Wen Zhang
چکیده

In this paper, we give a definition of an optimally reduced basis for a lattice in the sense that an optimally reduced basis is a shortest basis for the lattice. Then we present an algorithm for computing an approximation of an optimally reduced basis for a lattice using a novel unimodular transformation. To compare lattice bases, we propose a quantitative measure of the degree of the linear independence of lattice basis vectors.

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تاریخ انتشار 2010