Vol. 54, No. 2, 1974

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

A. Hedayat and Ester Seiden

Vol. 54 (1974), No. 2, 85–113

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.

Mathematical Subject Classification 2000
Primary: 05B15
Secondary: 62K10
Received: 18 December 1972
Revised: 20 September 1974
Published: 1 October 1974
A. Hedayat
Ester Seiden