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1974•Pacific Journal of MathematicsOpen access

On the theory and application of sum composition of Latin squares and orthogonal Latin squares

A. Hedayat, E. Seiden

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Abstract

The object of this paper is three-fold.First, it puts the theory of "sum composition" of Latin squares and orthogonal Latin squares in its most precise form.Second, it compiles and unifies previous results which have appeared in technical reports and in proceedings of a conference in Italy, which are not readily available.Finally, it presents some new results in this area.EXAMPLE 3.1.Let L and B be the following squares.

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The object of this paper is three-fold.First, it puts the theory of "sum composition" of Latin squares and orthogonal Latin squares in its most precise form.Second, it compiles and unifies previous results which have appeared in technical reports and in proceedings of a conference in Italy, which are not readily available.Finally, it presents some new results in this area.EXAMPLE 3.1.Let L and B be the following squares.

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Available abstract

The object of this paper is three-fold.First, it puts the theory of "sum composition" of Latin squares and orthogonal Latin squares in its most precise form.Second, it compiles and unifies previous results which have appeared in technical reports and in proceedings of a conference in Italy, which are not readily available.Finally, it presents some new results in this area.EXAMPLE 3.1.Let L and B be the following squares.

Key concepts: Latin square, Mathematics, Orthogonal array, Least-squares function approximation, Total least squares, Composition (language), Generalized least squares, Statistics

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