Geodesic
Orthogonal Matrices with Zero Diagonal
Canadian journal of mathematics, Tome 19 (1967) no. 1, pp. 1001-1010

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

The central problem in the present paper is the construction of symmetric and of skew-symmetric ( = skew) matrices C of order v, with diagonal elements 0 and other elements + 1 or — 1, satisfying The following necessary conditions are known: v ≡ 2 (mod 4) and a and b integers, for symmetric matrices C (Belevitch (1, 2), Raghavarao (14)), and v = 2 or v ≡ 0 (mod 4) for skew matrices C. 
Goethals, J. M.; Seidel, J. J. Orthogonal Matrices with Zero Diagonal. Canadian journal of mathematics, Tome 19 (1967) no. 1, pp. 1001-1010. doi: 10.4153/CJM-1967-091-8
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