Journal article · Ahead of Print article
An Improvement of the Gilbert–Varshamov Bound Over Nonprime Fields
In
Ieee Transactions on Information Theory
—
2014, Volume 60, Issue 7, pp. 3859-3861
Abstract
The Gilbert-Varshamov bound guarantees the existence of families of codes over the finite field Fℓ with good asymptotic parameters. We show that this bound can be improved for all nonprime fields Fℓ with ℓ ≥ 49 , except possibly ℓ = 125. We observe that the same improvement even holds within the class of transitive codes and within the class of self-orthogonal codes.
| Language: | English |
|---|---|
| Publisher: | IEEE |
| Year: | 2014 |
| Pages: | 3859-3861 |
| ISSN: | 15579654 and 00189448 |
| Types: | Journal article and Ahead of Print article |
| DOI: | 10.1109/TIT.2014.2316531 |
| ORCIDs: | Beelen, Peter |
Keywords
Communication, Networking and Broadcast Technologies Educational institutions Electronic mail Geometry Linear codes Poles and towers Signal Processing and Analysis
Other keywords
