Report
Unbiased weighing matrices of weight $9$
| العنوان: | Unbiased weighing matrices of weight $9$ |
|---|---|
| المؤلفون: | Araya, Makoto, Harada, Masaaki, Kharaghani, Hadi, Suda, Sho, Yu, Wei-Hsuan |
| سنة النشر: | 2025 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Combinatorics, 05B20 |
| الوصف: | We investigate unbiased weighing matrices of weight $9$ and provide a construction method using mutually suitable Latin squares. For $n \le 16$, we determine the maximum size among sets of mutually unbiased weighing matrices of order $n$ and weight $9$. Notably, our findings reveal that $13$ is the smallest order where such pairs exist, and $16$ is the first order for which a maximum class of unbiased weighing matrices is found. Comment: 42 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2501.15444 |
| رقم الانضمام: | edsarx.2501.15444 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |