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- W4300846166 abstract "The dimension of a linear space is the maximum positive integer $d$ such that any $d$ of its points generate a proper subspace. For a set $K$ of integers at least two, recall that a pairwise balanced design PBD$(v,K)$ is a linear space on $v$ points whose lines (or blocks) have sizes belonging to $K$. We show that, for any prescribed set of sizes $K$ and lower bound $d$ on the dimension, there exists a PBD$(v,K)$ of dimension at least $d$ for all sufficiently large and numerically admissible $v$." @default.
- W4300846166 created "2022-10-04" @default.
- W4300846166 creator A5000687750 @default.
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- W4300846166 date "2014-01-07" @default.
- W4300846166 modified "2023-09-28" @default.
- W4300846166 title "Pairwise balanced designs with prescribed minimum dimension" @default.
- W4300846166 doi "https://doi.org/10.48550/arxiv.1401.1471" @default.
- W4300846166 hasPublicationYear "2014" @default.
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