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Certain Incomplete Block Designs from Combinatorial Matrices

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Abstract

A series of quasidouble resolvable balanced incomplete block design with parameters: \(v={q}^{2},b=2q\left(q+1\right), r=2\left(q+1\right),k=q,\lambda =2\) is obtained using difference matrices where \(q\) is a prime or prime power. Further a class of \(\left(\mathrm{0,1}\right)\)-matrix is introduced which is applicable in the construction of resolvable group divisible designs. These designs are of statistical as well as combinatorial interest.

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The authors are thankful to anonymous reviewers for their valuable suggestions in improving the presentation and readability of the paper.

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Correspondence to Shyam Saurabh.

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Saurabh, S., Prasad, D. Certain Incomplete Block Designs from Combinatorial Matrices. J Indian Soc Probab Stat 24, 535–544 (2023). https://doi.org/10.1007/s41096-023-00165-6

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  • DOI: https://doi.org/10.1007/s41096-023-00165-6

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