Name
Abstract | ||
|---|---|---|
We construct new MDS or near-MDS self-dual codes over large finite fields. In particular, we show that there exists a Euclidean self-dual MDS code of length n = q over GF(q) whenever q = 2m (m ges 2) using a Reed-Solomon (RS) code and its extension. It turns out that this multiple description source (MDS) self-dual code is an extended duadic code. We construct Euclidean self-dual near-MDS codes of length n = q-1 over GF(q) from RS codes when q = 1 (mod 4) and q les 113. We also construct many new MDS self-dual codes over GF(p) of length 16 for primes 29 les p les 113. Finally, we construct Euclidean/Hermitian self-dual MDS codes of lengths up to 14 over GF(q2) where q = 19, 23,25, 27, 29. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1109/TIT.2008.928297 | IEEE Transactions on Information Theory |
Keywords | DocType | Volume |
rs code,near-mds self-dual code,large finite field,extended duadic code,new mds self-dual code,length n,new mds,self-dual code,euclidean self-dual near-mds code,hermitian self-dual mds code,near-mds self-dual codes,wireless communication,indexing terms,reed solomon,finite field,construction industry,reed solomon code,polynomials,generators,information theory | Journal | 54 |
Issue | ISSN | Citations |
9 | 0018-9448 | 17 |
PageRank | References | Authors |
1.27 | 5 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| T. A. Gulliver | 1 | 355 | 48.59 |
| Jon-Lark Kim | 2 | 312 | 34.62 |
| Yoonjin Lee | 3 | 107 | 21.53 |