Abstract
Supposem is a square-free odd integer, andA andB are any two Hadamard matrices of order 4m. We will show thatA andB are equivalent over the integers (that is,B can be obtained fromA using elementary row and column operations which involve only integers).
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References
M. Hall Jr.,Combinatorial Theory, Blaisdell, Waltham, Mass., 1967.
H. J. Ryser,Combinatorial Mathematics, (Carus Monograph No. 14), Wiley, New York, 1963.
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Wallis, W.D., Wallis, J. Equivalence of Hadamard matrices. Israel J. Math. 7, 122–128 (1969). https://doi.org/10.1007/BF02771658
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DOI: https://doi.org/10.1007/BF02771658