History
The concepts of latin squares and mutually orthogonal latin squares were generalized to latin cubes and hypercubes, and orthogonal latin cubes and hypercubes by Kishen (1942). Rao (1946) generalized these results to strength t. The present notion of orthogonal array as a generalization of these ideas, due to C.R. Rao, appears in Rao (1947).
Read more about this topic: Hyper-Graeco-Latin Square Design
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