Composition theorems for difference families and regular planes
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Publication:1250819
DOI10.1016/0012-365X(78)90113-9zbMath0389.05017MaRDI QIDQ1250819
Publication date: 1978
Published in: Discrete Mathematics (Search for Journal in Brave)
Combinatorial aspects of block designs (05B05) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10)
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Cites Work
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- An existence theory for pairwise balanced designs. III: Proof of the existence conjectures
- Balanced incomplete block designs and related designs
- On difference matrices and regular latin squares
- Cyclotomy and difference families in elementary Abelian groups
- An existence theory for pairwise balanced designs. II: Structure of PBD- closed sets and the existence conjectures
- ON THE CONSTRUCTION OF BALANCED INCOMPLETE BLOCK DESIGNS