A New Class of Latin Square Type PBIB Designs

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.

Keywords

Orthogonal mates of BIB design Latin-Square Type PBIB designs Orthogonal Arrays.

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