Name
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. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1109/TIT.2014.2316531 | Information Theory, IEEE Transactions |
Keywords | Field | DocType |
Goppa codes,algebraic codes,orthogonal codes,Gilbert-Varshamov bound,Goppa algebraic geometry codes,nonprime fields,self-orthogonal codes,transitive codes,AG codes,GV bound,towers of function fields | Discrete mathematics,Combinatorics,Finite field,Gilbert–Varshamov bound,Luby transform code,Block code,Expander code,Raptor code,Goppa code,Linear code,Mathematics | Journal |
Volume | Issue | ISSN |
60 | 7 | 0018-9448 |
Citations | PageRank | References |
1 | 0.38 | 1 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Bassa, A. | 1 | 1 | 0.38 |
| Peter Beelen | 2 | 116 | 15.95 |
| Arnaldo Garcia | 3 | 3 | 1.17 |
| Henning Stichtenoth | 4 | 176 | 32.38 |