Abstract
Lattices from Construction A and non-binary codes are considered. These lattices are built from number fields as coset codes of the ring of integers OK modulo an ideal I. Diversity of a Construction-A lattice Λ on block-fading channels is guaranteed by the chain Im ⊂ Λ ⊂ OK m. We study how the code alphabet size should be chosen in order to avoid error floors on the Gaussian channel due to the sublattice Im. Our aim is to get Construction-A lattices that are good for both Gaussian and block-fading channels.
| Original language | English |
|---|---|
| Title of host publication | 2016 9th International Symposium on Turbo Codes and Iterative Information Processing |
| Subtitle of host publication | Paths to 5G and Beyond, ISTC 2016 |
| Publisher | IEEE Computer Society |
| Pages | 305-309 |
| Number of pages | 5 |
| Volume | 2016-October |
| ISBN (Electronic) | 9781509034017 |
| DOIs | |
| Publication status | Published - 17 Oct 2016 |
| Event | 9th International Symposium on Turbo Codes and Iterative Information Processing, ISTC 2016 - Brest, France Duration: 5 Sep 2016 → 9 Sep 2016 |
Other
| Other | 9th International Symposium on Turbo Codes and Iterative Information Processing, ISTC 2016 |
|---|---|
| Country | France |
| City | Brest |
| Period | 5/9/16 → 9/9/16 |
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ASJC Scopus subject areas
- Computational Theory and Mathematics
- Information Systems
- Theoretical Computer Science
Cite this
Construction-A full-diversity lattices. / Boutros, Joseph; Belfiore, Jean Claude.
2016 9th International Symposium on Turbo Codes and Iterative Information Processing: Paths to 5G and Beyond, ISTC 2016. Vol. 2016-October IEEE Computer Society, 2016. p. 305-309 7593126.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
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TY - GEN
T1 - Construction-A full-diversity lattices
AU - Boutros, Joseph
AU - Belfiore, Jean Claude
PY - 2016/10/17
Y1 - 2016/10/17
N2 - Lattices from Construction A and non-binary codes are considered. These lattices are built from number fields as coset codes of the ring of integers OK modulo an ideal I. Diversity of a Construction-A lattice Λ on block-fading channels is guaranteed by the chain Im ⊂ Λ ⊂ OK m. We study how the code alphabet size should be chosen in order to avoid error floors on the Gaussian channel due to the sublattice Im. Our aim is to get Construction-A lattices that are good for both Gaussian and block-fading channels.
AB - Lattices from Construction A and non-binary codes are considered. These lattices are built from number fields as coset codes of the ring of integers OK modulo an ideal I. Diversity of a Construction-A lattice Λ on block-fading channels is guaranteed by the chain Im ⊂ Λ ⊂ OK m. We study how the code alphabet size should be chosen in order to avoid error floors on the Gaussian channel due to the sublattice Im. Our aim is to get Construction-A lattices that are good for both Gaussian and block-fading channels.
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UR - http://www.scopus.com/inward/citedby.url?scp=84994431036&partnerID=8YFLogxK
U2 - 10.1109/ISTC.2016.7593126
DO - 10.1109/ISTC.2016.7593126
M3 - Conference contribution
VL - 2016-October
SP - 305
EP - 309
BT - 2016 9th International Symposium on Turbo Codes and Iterative Information Processing
PB - IEEE Computer Society
ER -