On the Structure of Balanced Incomplete Block Designs
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Publication:5811616
DOI10.1214/aoms/1177729485zbMath0046.36102OpenAlexW2006490784MaRDI QIDQ5811616
Publication date: 1952
Published in: The Annals of Mathematical Statistics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/aoms/1177729485
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A survey of some problems in combinatorial designs - a matrix approach ⋮ Determinantenabschätzungen für binäre Matrizen. (Estimation of determinants for binary matrices) ⋮ Quasi-symmetric designs related to the triangular graph ⋮ Construction and optimality of nearly linear trend-free designs ⋮ On Hadamard embeddabiity ⋮ Generalized intersection patterns and two-symbol balanced arrays ⋮ Characterization of equireplicated variance-balanced block designs ⋮ On extremal intersection numbers of a block design ⋮ Incidence matrices of t-designs ⋮ On sets of pairwise disjoint blocks in Steiner triple systems ⋮ On the BIB design having the minimum p-rank ⋮ Affine resolvable balanced incomplete block designs: a survey ⋮ Balanced incomplete block designs and related designs ⋮ On the block structure of BIB designs with parameters \(v=22\), \(b=33\), \(r=12\), \(k=8\), \(\lambda=4\) ⋮ On the structure of regular pairwise balanced designs ⋮ On the orbits of collineation groups ⋮ A generalization of Connor's inequality to t-designs with automorphisms ⋮ Block intersections in quasiresidual designs ⋮ On balanced incomplete block designs with blocks having five elements ⋮ Block designs with repeated blocks ⋮ Simple constructions for balanced incomplete block designs with block size three ⋮ Inequalities for t designs ⋮ Tactical decompositions of designs ⋮ Flag-transitive non-symmetric 2-designs with \((r,\lambda)=1\) and alternating socle
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