A COUNTEREXAMPLE TO A VORONOI REGION CONJECTURE

Authors
URBANKE R AGRAWAL D
Citation
R. Urbanke et D. Agrawal, A COUNTEREXAMPLE TO A VORONOI REGION CONJECTURE, IEEE transactions on information theory, 41(4), 1995, pp. 1195-1196
Citations number
2
Categorie Soggetti
Information Science & Library Science","Engineering, Eletrical & Electronic
Journal title
IEEE transactions on information theory → ACNP
ISSN journal
00189448
Volume
41
Issue
4
Year of publication
1995
Pages
1195 - 1196
Database
ISI
SICI code
0018-9448(1995)41:4<1195:ACTAVR>2.0.ZU;2-K
Abstract
Given a 2D-symmetric lattice Lambda, it was conjectured by Forney that the projection of the Voronoi region R(Lambda) onto two coordinates e quals the Voronoi region of the constituent 2D-sublattice Lambda'(2). We present a three-dimensional counterexample.