تقرير
Linear codes with few weights over $\mathbb{F}_{p}+u\mathbb{F}_{p}$
| العنوان: | Linear codes with few weights over $\mathbb{F}_{p}+u\mathbb{F}_{p}$ |
|---|---|
| المؤلفون: | Kumar, Pavan, Khan, Noor Mohammad |
| سنة النشر: | 2024 |
| المجموعة: | Computer Science Mathematics |
| مصطلحات موضوعية: | Computer Science - Information Theory, 94B05, 11T71 |
| الوصف: | For any positive integer $m$ and an odd prime $p$; let $\mathbb{F}_{q}+u\mathbb{F}_{q}$, where $q=p^{m}$, be a ring extension of the ring $\mathbb{F}_{p}+u\mathbb{F}_{p}.$ In this paper, we construct linear codes over $\mathbb{F}_{p}+u\mathbb{F}_{p}$ by using trace function defined on $\mathbb{F}_{q}+u\mathbb{F}_{q}$ and determine their Hamming weight distributions by employing symplectic-weight distributions of their Gray images. |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2406.18325 |
| رقم الأكسشن: | edsarx.2406.18325 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |