ON THE TRELLIS COMPLEXITY OF THE DENSEST LATTICE PACKINGS IN R(N)

Authors
Citation
If. Blake et V. Tarokh, ON THE TRELLIS COMPLEXITY OF THE DENSEST LATTICE PACKINGS IN R(N), SIAM journal on discrete mathematics, 9(4), 1996, pp. 597-601
Citations number
5
Categorie Soggetti
Mathematics,Mathematics
ISSN journal
08954801
Volume
9
Issue
4
Year of publication
1996
Pages
597 - 601
Database
ISI
SICI code
0895-4801(1996)9:4<597:OTTCOT>2.0.ZU;2-J
Abstract
An inequality relating the trellis complexity of lattices to their dim ension and Hermite parameter is established. Using this inequality, a conjecture of Forney is proved indicating that the trellis complexity of the densest lattice packings in R(n) grows exponentially as a funct ion of their coding gain.