Geodesic
A Skew Hadamard Matrix of Order 52
Canadian journal of mathematics, Tome 21 (1969) no. 1, pp. 1319-1322

Voir la notice de l'article provenant de la source Cambridge University Press

1. A Hadamard (H-) matrix H = (hij) of order n is an n × n square matrix satisfying the conditions for all i, j ≦ n. A skew H-matrix is an H-matrix of the form where I is the identity matrix and S’ the transpose of 5. In particular, Skew H-matrices have applications in the theory of finite projective planes (2) and tournaments (4), also in the construction of H-matrices of certain orders. For example, if there is a skew H-matrix of order n, then there is an H-matrix of order n(n – 1) (Williamson, see (1, p. 213)). 
Blatt, D.; Szekeres, G. A Skew Hadamard Matrix of Order 52. Canadian journal of mathematics, Tome 21 (1969) no. 1, pp. 1319-1322. doi: 10.4153/CJM-1969-144-2
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[1] 1. Hall, Marshall, Jr., Combinatorial theory (Blaisdell, Waltham, Massachusetts, 1967). Google Scholar

[2] 2. Johnsen, E. C., Integral solutions to the incidence equation for finite projective plane cases of orders n = 2 (mod 4), Pacific J. Math. 17 (1966), 97–120 Google Scholar

[3] 3. Paley, R. E. A. C., On orthogonal matrices, J. Math. Phys. 12 (1933), 311–320. Google Scholar

[4] 4. Szekeres, G., Tournaments and Hadamard matrices, Enseignement Math. 15 (1969), 269–278. Google Scholar

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

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