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Matrix constructions of family (A) group divisible designs [PDF]

Australas. J Comb., 2020
A new construction of (not necessarily symmetric) group divisible designs (GDD) with \(b= 4(r- \lambda_2)\) is described (\(b\) denotes the number of blocks of the design, and \(\lambda_2\) the number of blocks through two points in different point classes; \(r\) is the number of blocks through a point). GDDs with this property are called ``family (A)''
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Group divisible designs with large block sizes

Designs, Codes and Cryptography, 2017
In this paper, the author showed that there is a \((k,\lambda_k)\)-GDD, group divisible design, of type \((q^{l+1}-q^l)^{(q^{n-l}-1)/(q-1)}\), for any prime power \(q\) and any integers \(k\), \(n\) with \(3\leq k \leq n\), where \(\lambda_k=\frac{\prod_{i=3}^{k-1}(q^n-q^{l+i-1})}{(k-2)!}\) and \(k+l\leq n+1\).
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On Group Divisible Rotatable Designs

Calcutta Statistical Association Bulletin, 1976
Adhikary, Basudeb, Sinha, Bikas Kumar
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On Generalised Group Divisible Designs

Calcutta Statistical Association Bulletin, 1973
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Group Divisible Designs with Block Size Four and Group Type for

Journal of Combinatorial Designs, 2014
Hengjia Wei, Gennian Ge
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Group divisible covering designs with block size four

Journal of Combinatorial Designs, 2018
Hengjia Wei, Gennian Ge
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Group divisible designs with block size four and group typegum1for more smallg

Discrete Mathematics, 2013
Hengjia Wei, Gennian Ge
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Some new resolvable group divisible designs

Communications in Statistics - Theory and Methods, 2020
Shyam Saurabh, Kishore Sinha
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Group Divisible Designs with Variable Replications

Calcutta Statistical Association Bulletin, 1967
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Construction of Regular Group Divisible Designs

Biometrika, 1977
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