DocumentCode
1722852
Title
Lattices which are good for (almost) everything
Author
Erez, Uri ; Litsyn, Simon ; Zamir, Ram
Author_Institution
MIT, Cambridge, MA, USA
fYear
2003
Firstpage
271
Lastpage
274
Abstract
Using random coding techniques, we show that, in high dimensions, there exist lattices which are simultaneously good as sphere packings, sphere coverings, AWGN channel and MSE quantization codes. These lattices are produced by a construction, similar to construction A (Conway, J.H. and Sloane, N.J.A., 1988), and a randomly chosen set of generating vectors.
Keywords
AWGN channels; binary codes; channel coding; lattice theory; linear codes; mean square error methods; quantisation (signal); AWGN channel coding; MSE quantization codes; binary codes; binary linear codes; generating vectors; lattices; random coding techniques; sphere coverings; sphere packings; AWGN channels; Channel capacity; Channel coding; Error correction codes; Error probability; H infinity control; Lattices; Linear code; Maximum likelihood decoding; Quantization;
fLanguage
English
Publisher
ieee
Conference_Titel
Information Theory Workshop, 2003. Proceedings. 2003 IEEE
Print_ISBN
0-7803-7799-0
Type
conf
DOI
10.1109/ITW.2003.1216746
Filename
1216746
Link To Document