Geodesic
Orthogonal Designs with Zero Diagonal
Canadian journal of mathematics, Tome 28 (1976) no. 1, pp. 215-224

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Definition 1. An orthogonal design of order n and type (si, ... , si) (st positive integers) on the commuting variables x1 , ... , xl is an n X n matrix X with entries chosen from {0, ±x 1, ... , ±xl} such that 
Geramita, A. V.; Verner, J. H. Orthogonal Designs with Zero Diagonal. Canadian journal of mathematics, Tome 28 (1976) no. 1, pp. 215-224. doi: 10.4153/CJM-1976-028-3
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