Results 1 to 10 of about 180 (177)
Algebraic constructions of group divisible designs
Examples and Counterexamples, 2023 Some series of Group divisible designs using generalized Bhaskar Rao designs over Dihedral, Symmetric and Alternating groups are obtained.
Shyam Saurabh, Kishore Sinha
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Existence of a new class of group divisible designs with block size four
Nantong Daxue xuebao. Ziran kexue ban, 2022 Group divisible designs are not only kinds of classical designs in combinatorial design theory, but also have extremely important applications in coding theory.
TANG Jiahao WANG Jinhua
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A new regular group divisible design
Examples and Counterexamples, 2021 A regular group divisible design with parameters: v=b=39, r=k=9, λ1=0, λ2=2, m=13, n=3is obtained using balanced generalized Weighing matrix over a dihedral group of order 6.
Shyam Saurabh, Kishore Sinha
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3-Group Divisible Designs with 3 Groups and Block Size 5
Journal of Mathematics, 2023 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).
Zebene Girma Tefera +2 more
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On group divisible covering designs
Discrete Mathematics, 1999 The notion of group divisible covering design (GDCD) is introduced. The number of blocks in a minimum GDCD with block size \(k\) and group-type \(g^u\), is the covering number \( C(k,g^u)\), whose values are determined for all positive integers \(g\) and \(u\geq 3\).
Katherine Heinrich, Jianxing Yin
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Divisible designs with dual translation group [PDF]
Designs, Codes and Cryptography, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sabine Giese, Ralph-Hardo Schulz
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Constructions of Sarvate-Beam Group Divisible Designs
Graphs and Combinatorics, 2022 A balanced incomplete block design is a set system in which all pairs of distinct elements occur with a constant frequency. By contrast, a Sarvate-Beam design induces an interval of distinct frequencies on pairs. In this paper, we settle the existence of a Sarvate-Beam variant of group divisible designs of uniform type with block size three.
Peter J. Dukes, Joanna Niezen
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CONSTRUCTIONS OF GROUP DIVISIBLE DESIGNS
JOURNAL OF THE JAPAN STATISTICAL SOCIETY, 1995 Summary: Methods of construction of group divisible designs are discussed. Making use of these methods, a new group divisible design and nine new non-isomorphic solutions for group divisible designs are given in the same range of parameters as by \textit{W. H. Clatworthy} [Tables of two-associate-class partially balanced designs. (1973; Zbl 0289.05017)]
Duan, Xiaoping, Kageyama, Sanpei
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Group Divisible Designs with Two Associate Classes and 𝜆2=1
International Journal of Mathematics and Mathematical Sciences, 2011 The original classiffcation of PBIBDs defined group divisible designs GDD(𝑣=𝑣1+𝑣2+⋯+𝑣𝑔,𝑔,𝑘,𝜆1,𝜆2) with 𝜆1≠0. In this paper, we prove that the necessary conditions are suffcient for the existence of the group divisible designs with two groups of unequal ...
Nittiya Pabhapote, Narong Punnim
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Highly D‑efficient Weighing Design and Its Construction
Acta Universitatis Lodziensis. Folia Oeconomica, 2017 In this paper, some aspects of design optimality on the basis of spring balance weighing designs are considered. The properties of D‑optimal and D‑efficiency designs are studied.
Bronisław Ceranka, Małgorzata Graczyk
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