تقرير
Integer sequences that are generalized weights of a linear code
| العنوان: | Integer sequences that are generalized weights of a linear code |
|---|---|
| المؤلفون: | Gorla, Elisa, García, Elisa Lorenzo, Martínez-Peñas, Umberto, Salizzoni, Flavio |
| سنة النشر: | 2023 |
| المجموعة: | Computer Science Mathematics |
| مصطلحات موضوعية: | Computer Science - Information Theory |
| الوصف: | Which integer sequences are sequences of generalized weights of a linear code? In this paper, we answer this question for linear block codes, rank-metric codes, and more generally for sum-rank metric codes. We do so under an existence assumption for MDS and MSRD codes. We also prove that the same integer sequences appear as sequences of greedy weights of linear block codes, rank-metric codes, and sum-rank metric codes. Finally, we characterize the integer sequences which appear as sequences of relative generalized weights (respectively, relative greedy weights) of linear block codes. Comment: 19 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2307.06595 |
| رقم الأكسشن: | edsarx.2307.06595 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |