Thomas Pender

collaborators

3 papers

math.CO2022

Quasi-balanced weighing matrices, signed strongly regular graphs and association schemes

Hadi Kharaghani, Thomas Pender, Sho Suda

A weighing matrix $W$ is quasi-balanced if $∣ W ∣∣ W ∣^{⊤} = ∣ W ∣^{⊤} ∣ W ∣$ has at most two off-diagonal entries, where $∣ W ∣_{ij} = ∣ W_{ij} ∣$ . A quasi-balanced weighing matrix $W$ signs a s…

math.CO2021

Balanced Weighing Matrices

Hadi Kharaghani, Thomas Pender, Sho Suda

A unified approach to the construction of weighing matrices and certain symmetric designs is presented. Assuming the weight $p$ in a weighing matrix $W (n, p)$ is a prime power, it i…

math.CO2021

A family of balanced generalized weighing matrices

Hadi Kharaghani, Thomas Pender, Sho Suda

Balanced weighing matrices with parameters $(1 + 18 \cdot \frac{9 ^{m + 1} - 1}{8}, 9^{m + 1}, 4 \cdot 9^{m}),$ for each nonzero integer $m$ is constructed. This is the first infini…