| Autor: |
Zhu, Shixin, Pang, Binbin, Sun, Zhonghua |
| Rok vydání: |
2016 |
| Předmět: |
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| Zdroj: |
J Syst Sci Complex 31, 1065-1077 (2018) |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.1007/s11424-017-6301-7 |
| Popis: |
In this paper, by investigating the factor of the $x^n+1$, we deduce that the structure of the reversible negacyclic code over the finite field $\mathbb{F}_{q}$, where $q$ is an odd prime power. Though studying $q-$cyclotomic cosets modulo $2n$, we obtain the parameters of negacyclic BCH code of length $n=\frac{q^\ell+1}{2}$ , $n=\frac{q^m-1}{2(q-1)}$ and $n=\frac{q^{t\cdot2^\tau}-1}{2(q^t+1)}$. Some optimal linear codes from negacyclic codes are given. Finally, we discuss a class of MDS LCD negacyclic codes. |
| Databáze: |
arXiv |
| Externí odkaz: |
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