Construction of Balanced n-ary t-designs by Block Sum and Product (BSP) Methodology on 3-designs

Author(s)	Dr. Ganesh Sahebrao Phad, D D Pawar, Digambar Bhausaheb Uphade
Country	India
Abstract	In this paper we use 3-designs whose incidence matrix will take only binary values and constructed a series of balanced n-ary t-designs by using a tool Block Sum and Product (BSP) Methodology. The simple 3-(4, 3, 1) and 3-(5, 3, 1) designs are used as a parent 3-designs for the procedure. The parent 3-(4, 3, 1) design gives three new balanced n-ary t-designs and 3-(5, 3, 1) design gives twenty new balanced n-ary t-designs. We given incidence matrices and list out the parameters of newly constructed balanced and partially balanced n-ary t-designs.
Keywords	Balanced n-ary t-design, BSP Methodology, Incidence matrix, Polynomial, t-design
Field	Mathematics > Statistics
Published In	Volume 7, Issue 2, March-April 2025
Published On	2025-03-24
DOI	https://doi.org/10.36948/ijfmr.2025.v07i02.39849
Short DOI	https://doi.org/g89v5j

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