On the Symmetric Balanced Incomplete Block Designs from Mutually Orthogonal Latin Squares

Abstract

A set of Mutually Orthogonal Latin Squares (MOLS) of order 7 gives rise to series of incomplete block designs, such as; balanced incomplete block designs (BIBD), and partially balanced incomplete block designs of two, three, four, five and six associate classes, that is PBIBD(k) with k =2,3,4,5 and 6. Two distinct Near-Resolvable BIBDs that are symmetric are equally obtained. All the aforementioned designs are constructed via orderly combinations of off-diagonal elements of a complete set of mutually orthogonal Latin squares (MOLS).

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Keywords

Orthogonal Latin Square, Symmetric, Near-Resolvable, Incomplete Block Designs, Partially Balanced Incomplete Block Designs

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