2025/01/26 by Araya, Makoto, Harada, Masaaki, Kharaghani, Hadi +2
#05B20 #Combinatorics (math.CO) #FOS: Mathematics
paper · doi:10.48550/arxiv.2501.15444
We investigate unbiased weighing matrices of weight 9 and provide a construction method using mutually suitable Latin squares. For 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.