Name
Abstract | ||
|---|---|---|
The purpose of this paper is to construct nontrivial MDS self-dual codes over Galois rings. We consider a building-up construction of self-dual codes over Galois rings as a GF(q)-analogue of (Kim and Lee, J Combin Theory ser A, 105:79---95). We give a necessary and sufficient condition on which the building-up construction holds. We construct MDS self-dual codes of lengths up to 8 over GR(32,2), GR(33,2) and GR(34,2), and near-MDS self-dual codes of length 10 over these rings. In a similar manner, over GR(52,2), GR(53,2) and GR(72,2), we construct MDS self-dual codes of lengths up to 10 and near-MDS self-dual codes of length 12. Furthermore, over GR(112,2) we have MDS self-dual codes of lengths up to 12. |
Year | DOI | Venue |
|---|---|---|
2007 | 10.1007/s10623-007-9117-y | Des. Codes Cryptography |
Keywords | Field | DocType |
Self-dual code,Galois ring,MDS code,94B05,13H99 | Discrete mathematics,Combinatorics,Galois rings,Mathematics | Journal |
Volume | Issue | ISSN |
45 | 2 | 0925-1022 |
Citations | PageRank | References |
5 | 0.57 | 18 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Jon-Lark Kim | 1 | 312 | 34.62 |
| Yoonjin Lee | 2 | 107 | 21.53 |