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A counterexample to a Voronoi region conjecture
Written by:
Ruediger L Urbanke
and
Dakshi Agrawal.
Citation:
IEEE Transaction on Information Theory, 41:1195-1196, July 1995.
Copyright © (1995) by IEEE. Permission to make digital or hard
copies of part or all of this work for personal or classroom use is
granted without fee provided that copies are not made or distributed
for profit. To copy otherwise, to republish, to post on servers, or to
redistribute to lists, requires prior specific permission and/or a fee.
Abstract:
Given a 2D-symmetric lattice L, it was conjectured by Forney that
the projection of the Voronoi region R(L) onto two coordinates equals
the Voronoi region of the constituent 2D-sublattice L2. We present a
three-dimensional counterexample.
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