A note on the construction of Latin square type designs

Shyam Saurabh and Mithilesh Kumar Singh

Communications in Statistics - Theory and Methods, 2022, vol. 51, issue 10, 3434-3437

Abstract: A PBIB design based on L2 association scheme with parameters: v=p2,b=pp−1,r=p−1,k=p,λ1=0,λ2=1,n1=2p−1, n2=p−12 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 v=p2, b=p2s+tp−1, r=2s+tp−1, k=p, λ1=s, λ2=t, n1=2p−1, n2=(p−1)2 where p is a prime is also given.

Date: 2022
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DOI: 10.1080/03610926.2020.1734837

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