Criteria for a Hadamard Matrix to be Skew-Equivalent
Canadian journal of mathematics, Tome 28 (1976) no. 6, pp. 1216-1223

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A matrix H of order n = 4t with all entries from the set {1, —1} is Hadamard if HHt = 4tI. The set of Hadamard matrices is . A matrix is of type I or is skew-Hadamard if H = S — I where St = —S (some authors also use H = S + I). The set of type I members is . A matrix P is a signed permutation matrix if each row and each column has exactly one non-zero entry, and that entry is from the set {1, —1}.
Longyear, Judith Q. Criteria for a Hadamard Matrix to be Skew-Equivalent. Canadian journal of mathematics, Tome 28 (1976) no. 6, pp. 1216-1223. doi: 10.4153/CJM-1976-122-x
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