Lattice Problem - Closest Vector Problem (CVP)

Closest Vector Problem (CVP)

  • Lattice problems by example
  • The SVP by example

  • The CVP by example

In CVP, a basis of a vector space V and a metric M (often L2) are given for a lattice L, as well as a vector v in V but not necessarily in L. It is desired to find the vector in L closest to v (as measured by M). In the -approximation version, one must find a lattice vector at distance at most .

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