Report
$\mathbb{Z}_p\mathbb{Z}_p[u]$-additive codes
| العنوان: | $\mathbb{Z}_p\mathbb{Z}_p[u]$-additive codes |
|---|---|
| المؤلفون: | Lu, Zhenliang, Zhu, Shixin |
| سنة النشر: | 2015 |
| المجموعة: | Computer Science Mathematics |
| مصطلحات موضوعية: | Computer Science - Information Theory |
| الوصف: | In this paper, we study $\mathbb{Z}_p\mathbb{Z}_p[u]$-additive codes, where $p$ is prime and $u^{2}=0$. In particular, we determine a Gray map from $ \mathbb{Z}_p\mathbb{Z}_p[u]$ to $\mathbb{Z}_p^{ \alpha+2 \beta}$ and study generator and parity check matrices for these codes. We prove that a Gray map $\Phi$ is a distance preserving map from ($\mathbb{Z}_p\mathbb{Z}_p[u]$,Gray distance) to ($\mathbb{Z}_p^{\alpha+2\beta}$,Hamming distance), it is a weight preserving map as well. Furthermore we study the structure of $\mathbb{Z}_p\mathbb{Z}_p[u]$-additive cyclic codes. |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/1510.08636 |
| رقم الانضمام: | edsarx.1510.08636 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |