Geodesic
A new class of Hadamard matrices
Glasgow mathematical journal, Tome 8 (1967) no. 1, pp. 59-62

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A Hadamard matrix H is an orthogonal square matrix of order m all the entries of which are either + 1 or - 1; i. e.where H′ denotes the transpose of H and Im is the identity matrix of order m. For such a matrix to exist it is necessary [1] thatIt has been conjectured, but not yet proved, that this condition is also sufficient. However, many values of m have been found for which a Hadamard matrix of order m can be constructed. The following is a list of such m (p denotes an odd prime). 
Spence, E. A new class of Hadamard matrices. Glasgow mathematical journal, Tome 8 (1967) no. 1, pp. 59-62. doi: 10.1017/S0017089500000094
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[1] 1.Paley, R. E. A. C., On orthogonal matrices, J. Math. Phys. 12 (1933), 311–320. Google Scholar | DOI

[2] 2.Williamson, J., Hadamard's determinant theorem and the sum of four squares, Duke Math. J. 11 (1944), 65–81. Google Scholar | DOI

[3] 3.Williamson, J., Note on Hadamard's determinant theorem, Bull. Amer. Math. Soc. 53 (1947), 608–613. Google Scholar | DOI

[4] 4.Baumert, L., Golomb, S. W. and Hall, Marshall Jr, Discovery of an Hadamard matrix of order 92, Bull. Amer. Math. Soc. 68 (1962), 237–238. Google Scholar | DOI

[5] 5.Baumert, L. D. and Hall, Marshall Jr, Hadamard matrices of the Williamson type, Math. Comp. 10 (1965), 442–447. Google Scholar

[6] 6.Goldberg, K., Hadamard matrices of order cube plus one, Proc. Amer. Math. Soc. 17 (1966), 744–746. Google Scholar

[7] 7.Baumert, L. D., Hadamard matrices of orders 116 and 232, Bull. Amer. Math. Soc. 72 (1966), 237. Google Scholar | DOI

[8] 8.Ehlich, H., Neue Hadamard-Matrizen, Arch. Math. 16 (1965), 34–36. Google Scholar | DOI

[9] 9.Singer, J., A Theorem in finite projective geometry and some applications to number theory, Trans. Amer. Math. Soc. 43 (1938), 377–385. Google Scholar | DOI

[10] 10.Ryser, H. J., Combinatorial mathematics, Cams Mathematical Monographs No. 14, 1963. Google Scholar

[11] 11.Brauer, A., On a new class of Hadamard determinants, Math. Z. 58 (1953), 219–225. Google Scholar | DOI

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