Near Williamson matrices exist for all odd orders up to 63 with complete lists up to 35, enabling the first quaternary Hadamard matrix of order 118.
Sz¨ oll˝ osi, A complex Hadamard matrix of order 94, preprint
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A search for Hadamard matrices of Williamson type
Near Williamson matrices exist for all odd orders up to 63 with complete lists up to 35, enabling the first quaternary Hadamard matrix of order 118.