Name
Abstract | ||
|---|---|---|
This paper deduces the structure of LCD negacyclic codes over the finite field F q , where q is an odd prime power. Based on the study of q-cyclotomic cosets modulo 2n, the authors obtain the parameters of LCD negacyclic codes of lengths \(n = \frac{{{q^\ell } + 1}}{2},\frac{{{q^m} - 1}}{{2\left( {q - 1} \right)}}and\frac{{{q^{t \cdot {2^\tau }}} - 1}}{{2\left( {{q^t} + 1} \right)}}\), respectively. And many optimal codes are given. Moreover, the authors research two special classes of MDS LCD negacyclic codes of length \(n|\frac{{q - 1}}{2}\) and \(n|\frac{{q + 1}}{2}\), respectively. |
Year | DOI | Venue |
|---|---|---|
2018 | 10.1007/s11424-017-6301-7 | J. Systems Science & Complexity |
Keywords | Field | DocType |
LCD codes, MDS codes, negacyclic codes | Mathematical optimization,Finite field,Combinatorics,Modulo,Coset,Prime power,Mathematics | Journal |
Volume | Issue | ISSN |
31 | 4 | 1009-6124 |
Citations | PageRank | References |
1 | 0.36 | 7 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Binbin Pang | 1 | 3 | 1.75 |
| Shixin Zhu | 2 | 216 | 37.61 |
| Zhonghua Sun | 3 | 75 | 26.21 |