Results 1 to 10 of about 69 (67)

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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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
doaj   +1 more source

Generalized Bhaskar Rao designs

Journal of Statistical Planning and Inference, 1984
Some methods of constructions of generalized Bhaskar Rao designs with non-zero elements from an abelian group G have been given. A generalized Bhaskar Rao design with \(v=k\) is equivalent to v rows of a generalized Hadamard matrix of order n where \(v\leq n\).
Lam, Clement, Seberry, Jennifer
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Doubly resolvable designs from generalized Bhaskar Rao designs

Discrete Mathematics, 1988
A 2-(v,k,\(\lambda)\) block design is called resolvable if its block set can be partitioned in classes (``parallel classes'') such that each class partitions the point set. In the paper under review the authors construct for each prime power \(k\geq 3\) a resolvable \(2-(k(k+1),k,k-1)\) design.
Curran, D.J., Vanstone, S.A.
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Generalized Bhaskar Rao designs and dihedral groups

Journal of Combinatorial Theory, Series A, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abel, R.J.R., Combe, D., Palmer, W.D.
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Constructions of balanced ternary designs based on generalized Bhaskar Rao designs

Journal of Statistical Planning and Inference, 1993
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sarvate, Dinesh G., Seberry, Jennifer
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Existence of generalized Bhaskar Rao designs with block size 3

Discrete Mathematics, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abel, R. Julian R., Combe, Diana, Price, Georgina, Palmer, William D.   +3 more
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Generalized Bhaskar Rao Designs with Block Size 3 over Finite Abelian Groups

Graphs and Combinatorics, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ge, G., Grieg, M., Seberry, Jennifer, Seberry, R.   +3 more
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General constructions of c-Bhaskar Rao designs and the (c,λ) spectrum of a c-BRD(v,k,λ)

Discrete Mathematics, 2004
AbstractNew constructions of Bhaskar Rao designs (BRDs) and new families of c-BRDs are given using the relationship of BRDs to other combinatorial structures. For example, we use different families and their properties in various ways to obtain natural signings of BIBDs in order to construct c-BRDs.
Greig, Malcolm, Hurd, Spencer P., Sarvate, Dinesh G.   +2 more
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Generalized Bhaskar Rao designs of block size three

Journal of Statistical Planning and Inference, 1985
W is a generalized Bhaskar Rao design with parameters (v,b,r,k,\(\lambda\) ;G) if W has entries from G or 0 - the zero of the group ring - so that if \((a_{i1},...,a_{ib})\) and \((b_{j1},...,B_{jb})\) are distinct rows of W then the scalar product \((WW^+)_{ij}=(a_{i1},...,a_{ib})\cdot (b_{i1},...,b_{jb})\) should give each element of G the same ...
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