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arXiv · 2501.15444

Unbiased weighing matrices of weight $9$

Makoto Araya·Masaaki Harada·Hadi Kharaghani·Sho Suda·Wei-Hsuan Yu
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Abstract

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.

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Makoto Araya, Masaaki Harada, Hadi Kharaghani, Sho Suda, Wei-Hsuan Yu. 2025-07-03. Unbiased weighing matrices of weight $9$. https://arxiv.org/abs/2501.15444

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