Thomas Pender

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20212023

most citedBalancedly splittable orthogonal designs and equiangular tight frames

1 citations · 1 across the 5 of their papers we have counts for

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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…

math.CO2021★ 1 cited

Balancedly splittable orthogonal designs and equiangular tight frames

Hadi Kharaghani, Thomas Pender, Sho Suda

The concept of balancedly splittable orthogonal designs is introduced along with a recursive construction. As an application, equiangular tight frames over the real, complex, and q…