تقرير
On a Group Under Which Symmetric Reed-Muller Codes are Invariant
| العنوان: | On a Group Under Which Symmetric Reed-Muller Codes are Invariant |
|---|---|
| المؤلفون: | Toplu, Sibel Kurt, Arikan, Talha, AydoğDu, Pinar, Yayla, OğUz |
| سنة النشر: | 2024 |
| المجموعة: | Computer Science Mathematics |
| مصطلحات موضوعية: | Computer Science - Information Theory, 94B05, 11T71, 08A35, 11T06 |
| الوصف: | The Reed-Muller codes are a family of error-correcting codes that have been widely studied in coding theory. In 2020, Wei Yan and Sian-Jheng Lin introduced a variant of Reed-Muller codes so called symmetric Reed-Muller codes. We investigate linear maps of the automorphism group of symmetric Reed-Muller codes and show that the set of these linear maps forms a subgroup of the general linear group, which is the automorphism group of punctured Reed-Muller codes. We provide a method to determine all the automorphisms in this subgroup explicitly for some special cases. Comment: 17 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2401.11496 |
| رقم الأكسشن: | edsarx.2401.11496 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |