Bassa, Alp and Beelen, Peter and Garcia, Arnaldo and Stichtenoth, Henning (2014) An improvement of the Gilbert-Varshamov bound over nonprime fields. IEEE Transactions on Information Theory, 60 (7). pp. 3859-3861. ISSN 0018-9448
This is the latest version of this item.
Official URL: http://dx.doi.org/10.1109/TIT.2014.2316531
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.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | AG codes, GV bound, towers of function fields |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Engineering and Natural Sciences > Basic Sciences > Mathematics Faculty of Engineering and Natural Sciences |
| Depositing User: | Henning Stichtenoth |
| Date Deposited: | 26 Sep 2014 12:24 |
| Last Modified: | 02 Aug 2019 10:23 |
| URI: | https://research.sabanciuniv.edu/id/eprint/24353 |
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An improvement of the Gilbert-Varshamov bound over non-prime fields. (deposited 14 Jan 2014 15:58)
- An improvement of the Gilbert-Varshamov bound over nonprime fields. (deposited 26 Sep 2014 12:24) [Currently Displayed]
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