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A recursive method of construction of resolvable BIB-designs
Mathematical Notes of the Academy of Sciences of the USSR, 1977A theorem is proved that every resolvable BIB-design (v,k,λ) with λ=k−1 and the parameters v and k such that there exists a set of k−1 pairwise orthogonal Latin squares of order v can be embedded in a resolvable BIB-design ((k+1)v, k, k−1). An analogous theorem is established for the class of arbitrary BIB-designs.
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Combinatorics of Incidence Structures and Bib-Designs
1983We give an exposition of basic properties of incidence structures and designs (BIB-designs). Some properties relating internal and external structures, duality, and complementary structures are stated. We add some basic constructions for BIB-designs.
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On the Construction of BIB Designs with Variable Support Sizes.
1980Abstract : A balanced incomplete block (BIB) design with b blocks is said to have support size b* when exactly b* of the b blocks are distinct. The importance and the applications of BIB designs with b* b in design of experiments and controlled sampling were explained in detail in Foody and Hedayat (1977) and Wynn (1977).
H. L. Hwang, A. Hedayat
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The Trade-Off Method in the Construction of BIB Designs with Variable Support Sizes
Annals of Statistics, 1979A Hedayat
exaly
A Note on the Block Structure of BIB Designs
Calcutta Statistical Association Bulletin, 1963openaire +2 more sources
Notes on the structure of support in BIB designs. [PDF]
Australas. J Comb., 2020 Masoud Ariannejad, M. Emami
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The Construction of Pairwise Additive Minimal BIB Designs with Asymptotic Results
Applied Mathematics, 2014Kazuki Matsubara, Sanpei Kageyama
exaly
On BIB designs with various support sizes forv = 9 and k=3
Communications in Statistics Part B: Simulation and Computation, 1988G B Khosrovshahi
exaly