The existence of two pairwise additive \(\mathrm{BIBD}(v, 2, 1)\) for any \(v\)

DOI10.1080/15598608.2013.783742zbMath1418.05027OpenAlexW1998950781MaRDI QIDQ2320884

Kazuki Matsubara, Sanpei Kageyama

Publication date: 27 August 2019

Published in: Journal of Statistical Theory and Practice (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/15598608.2013.783742

zbMATH Keywords

incidence matrixordered designperpendicular arraynested BIB designadditive BIB designbalanced incomplete block (BIB) designmultiply nested BIB designpairwise additive BIB design

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Statistical block designs (62K10)

Related Items (1)

On a symmetric representation of Hermitian matrices and its applications to graph theory

Cites Work

• The Existence and Construction of Balanced Incomplete Block Designs
• The spectrum of additive BIB designs
• Nested balanced incomplete block designs
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