Unbiased weighing matrices of weight 9
Makoto Araya, Masaaki Harada, Hadi Kharaghani, Sho Suda, Wei-Hsuan Yu · Designs Codes and Cryptography · 2025
Abstract We investigate unbiased weighing matrices of weight 9 and provide a construction method using mutually suitable Latin squares. For $$n \le 16$$ n ≤ 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.