Symmetric Bush-type Hadamard matrices of order 4𝑚⁴ exist for all odd 𝑚

Muzychuk, Mikhail; Xiang, Qing

doi:10.1090/S0002-9939-06-08229-3

Symmetric Bush-type Hadamard matrices of order $4m^4$ exist for all odd $m$
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by Mikhail Muzychuk and Qing Xiang PDF

Proc. Amer. Math. Soc. 134 (2006), 2197-2204 Request permission

Abstract:

Using reversible Hadamard difference sets, we construct symmetric Bush-type Hadamard matrices of order $4m^4$ for all odd integers $m$.

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