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A note on the construction of Latin square type designs

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Abstract A PBIB design based on L2 association scheme with parameters: has been constructed in literature using mutually orthogonal Latin squares (MOLS). In this note we are presenting an alternative… Click to show full abstract

Abstract A PBIB design based on L2 association scheme with parameters: has been constructed in literature using mutually orthogonal Latin squares (MOLS). In this note we are presenting an alternative method of construction of such designs using the circulant matrix. A method of construction of a PBIB design based on the L2 association scheme with generalized parameters where p is a prime is also given.

Keywords: note construction; construction latin; construction; type designs; square type; latin square

Journal Title: Communications in Statistics - Theory and Methods
Year Published: 2020

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