Zig-Zag matrix for resolvable nested balanced incomplete block designs

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A. Jamiu Saka
B. Lateef Adeleke
T. Gbolahan Jaiyeola

Abstract

This paper presents a method of construction of designs which utilizes special matrix structures referred to as Zig-zag. The Zig-zag matrix structures give rise to initial blocks for resolvable nested balanced incomplete block designs (RNBIBDs). The construction of the designs for \((v)\) treatment number being a perfect square with specific interest on \((k)\) block size as a prime number are presented. The designs constructed are of high efficiency with minimum blocks. A generalized information matrix is also obtained.

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How to Cite
Saka, A., Adeleke, B., & Jaiyeola, T. (2017). Zig-Zag matrix for resolvable nested balanced incomplete block designs. International Journal of Algebra and Statistics, 6(1-2), 81-94. https://doi.org/10.20454/ijas.2017.1233
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