H. Kharaghani

activity

20122025

most citedCommutative association schemes obtained from twin prime powers, Fermat primes, Mersenne primes

2 citations · 7 across the 28 of their papers we have counts for

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Showing 2022Show all

2 papers · 1 filter

math.CO2022

Hadamard matrices related to the projective planes

Hadi Kharaghani, Sho Suda

Let $n$ be the order of a (quaternary) Hadamard matrix. It is shown that the existence of a projective plane of order $n$ is equivalent to the existence of a balancedly multi-split…

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…