3-Group Divisible Designs with 3 Groups and Block Size 5

Zebene Girma Tefera, Dinesh G. Sarvate, Samuel Asefa Fufa and Ljubisa Kocinac

Journal of Mathematics, 2023, vol. 2023, 1-8

Abstract: A 3-GDD (n, 2, k, λ1, λ2) was defined by combining the definitions of a group divisible design and a t-design. In this paper, we extend the definitions to 3 groups and block size 5, and we denote such GDD by 3-GDD (n, 3, 5, μ1, μ2). Some necessary conditions for the existence of these GDDs are developed, and several new constructions and specific instances of nonexistence are given.

Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:1010091

DOI: 10.1155/2023/1010091

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