Results 221 to 230 of about 2,511 (267)

Cyclic Group Divisible Designs

Calcutta Statistical Association Bulletin, 1995
New cyclic solutions of several group divisible incomplete block designs arc presented, A new group divisible desian is reported whose solution is also cyclic. We also present non-isomorphic solutions of several group divisible designs listed in the catalogue of Clatworthy (1973).
Midha, Chand K., Dey, Aloke
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Spreads and group divisible designs

Designs, Codes and Cryptography, 1993
This paper establishes a beautiful relation between geometric \(t\)-spreads and group divisible designs the dual of which is again a group divisible design. Let \({\mathcal S}\) be a \(t\)-spread of \(PG(d,q)\), i.e. a partition of the point set of \(PG(d,q)\) in \(t\)-dimensional subspaces, called the component of \({\mathcal S}\).
Christine M. O'Keefe, Alan Rahilly
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A generalization of group divisible t $t$‐designs

Journal of Combinatorial Designs, 2023
AbstractCameron defined the concept of generalized ‐designs, which generalized ‐designs, resolvable designs and orthogonal arrays. This paper introduces a new class of combinatorial designs which simultaneously provide a generalization of both generalized ‐designs and group divisible ‐designs.
Sijia Liu, Yue Han, Lijun Ma, Lidong Wang, Zihong Tian   +4 more
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Constructions of Group Divisible Designs

Designs, Codes and Cryptography, 1996
This paper presents some constructions for group divisible designs from generalized partial difference matrices. Certain classes of examples are also given.
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Symmetry and classification of certain regular group divisible designs

Graphs and Combinatorics, 1986
In this paper it is shown that a regular group divisible (GD) design, with parametersv, b, r, k, λ1, λ2 satisfying rk - λ2 v + 1 and λ2 = λ1 + 1, must be symmetric (i.e.,v + b).
Sanpei Kageyama, Rahul Mukerjee, Kageyama Sanpei   +2 more
exaly   +2 more sources

Divisible designs and groups

Geometriae Dedicata, 1992
The authors generalize previous work on translation divisible designs (with \(\lambda_ 1=0)\) and, in particular, translation transversal designs to translation divisible designs with parameters \((s,k,\lambda_ 1,\lambda_ 2)\).
Schulz, Ralph-Hardo, Spera, Antonino Giorgio   +1 more
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Constant Weight Codes and Group Divisible Designs

Designs, Codes and Cryptography, 1999
This 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}(
Simon Blake-Wilson, Kevin T. Phelps
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On a Method of Construction of Group Divisible Designs

Calcutta Statistical Association Bulletin, 1990
A simple method of constsuction for Group divisible (GD) designs is given with the help of known bananced incomplete block (BIB) designs.
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Some Results on Group Divisible Designs

Calcutta Statistical Association Bulletin, 1981
A 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 the Analysis of Group Divisible Designs

Journal of the American Statistical Association, 1964
Abstract This note gives an alternate formula for computing the adjusted treatment sum of squares for Group Divisible Partially Balanced Incomplete Block Designs (GD-PBIB). The proposed formula is shown to be equal to one which is given in reference [1] and hence a cheek is provided in carrying out the computations.
C. H. Kapadia, D. L. Weeks
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