Abstract
A method of construction of a new class of Latin square association scheme with i=2 constraints (L2 design) has been obtained. The method eventually yields a solution of an unsolved L2 (6) design whose parametric combinations are v=36, b=60, r= 10, K=6, λ1 =0 and λ2 =2. This method of construction also implies the existence of a new series of orthogonal array.
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