A construction for group divisible \(t\)-designs with strength \(t\geqslant 2\) and index unity
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Publication:1866257
DOI10.1016/S0378-3758(02)00309-9zbMath1009.62063OpenAlexW2029075317MaRDI QIDQ1866257
Publication date: 3 April 2003
Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0378-3758(02)00309-9
Statistical block designs (62K10) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10)
Related Items (6)
Simple 3-designs and PSL\((2,q )\) with \(q \equiv 1\pmod4\) ⋮ An existence theorem for group divisible 3-designs of large order ⋮ Studying designs via multisets ⋮ A construction for infinite families of Steiner 3-designs ⋮ The asymptotic existence of group divisible designs of large order with index one ⋮ A finite embedding theorem for partial Steiner 3-designs
Cites Work
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- An existence theory for pairwise balanced designs. III: Proof of the existence conjectures
- A construction for orthogonal arrays with strength \(t\geq 3\)
- An existence theory for pairwise balanced designs. I: Composition theorems and morphisms
- An existence theory for pairwise balanced designs. II: Structure of PBD- closed sets and the existence conjectures
- A construction for infinite families of Steiner 3-designs
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