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Generalizing Clatworthy group divisible designs
Journal of Statistical Planning and Inference, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rodger, C. A., Rogers, Julie
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Some Results on Group Divisible Designs
Calcutta Statistical Association Bulletin, 1981A condition is established for obtaining a Group Divisible (GD) design from an asymmetric Bm design. A method is also given for constructing a variance balanced design from a GD design.
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On Automorphism Groups of Divisible Designs
Canadian Journal of Mathematics, 1982A (group) divisible design is a tactical configuration for which the v points are split into m classes of n each, such that points have joining number λ (resp. λ2) if and only if they are in the same (resp. in different) classes. We are interested in such designs with a nice automorphism group.
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Constant Weight Codes and Group Divisible Designs
Designs, Codes and Cryptography, 1999This paper continues the study of optimal constant weight codes over arbitrary alphabets which was initiated by \textit{T. Etzion} [Optimal constant weight codes over \(Z_k\) and generalized designs, Discrete Math. 169, No. 1-3, 55-82 (1997)]. Etzion showed that such codes are equivalent to special GDD's known as generalized Steiner systems \(\text{GS}(
Blake-Wilson, Simon, Phelps, Kevin T.
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Group Divisible Second Order Rotatable Designs
Biometrical Journal, 1979AbstractThe Group Divisible Rotatable (GDR) designs are the designs in which the factors get divided into groups such that for the factors within group, the designs are rotatable. In the present paper we have obtained a series of Group Divisible Second Order Rotatable designs, by decomposing the v‐dimensional space corresponding to v‐factors under ...
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Constructions of Resolvable Group Divisible Designs and Related Designs
Annals of Combinatorics, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mitra, R. K. +3 more
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Group divisible rotatable designs —Some further considerations
Annals of the Institute of Statistical Mathematics, 1968The paper discusses a method of construction of “Group divisible rotatable designs”. Through this method 5-level designs are obtained with smaller number of points. A series of 3-level designs has also been put forward.
Dey, A., Nigam, A. K.
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Composite construction of group divisible designs
Annals of the Institute of Statistical Mathematics, 1989zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sinha, Kishore, Kageyama, Sanpei
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D‐optimal designs and group divisible designs
Journal of Combinatorial Designs, 2006AbstractWe obtain new conditions on the existence of a square matrix whose Gram matrix has a block structure with certain properties, including D‐optimal designs of order $n\equiv 3 \pmod 4$, and investigate relations to group divisible designs. We also find a matrix with large determinant for n = 39. © 2006 Wiley Periodicals, Inc. J Combin Designs 14:
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Families of Hadamard group divisible designs
Journal of Statistical Planning and Inference, 1979Abstract By a family of designs we mean a set of designs whose parameters can be represented as functions of an auxiliary variable t where the design will exist for infinitely many values of t. The best known family is probably the family of finite projective planes with υ = b = t2 + t + 1, r = k = t + 1, and λ = 1.
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