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math.CO2012
Unbiased complex Hadamard matrices and bases
Darcy Best, Hadi Kharaghani
We introduce mutually unbiased complex Hadamard (MUCH) matrices and show that the number of MUCH matrices of order 2n, n odd, is at most 2 and the bound is attained for n = 1,5,9.…
math.CO2012
On unit weighing matrices with small weight
Darcy Best, Hadi Kharaghani, Hugh Ramp
We study the structure of unit weighing matrices of order n and weights 2, 3 and 4. We show that the number of inequivalent unit weighing matrices UW(n,4) depends on the number of…