A theorem on associative block designs

J.A. Poutré, la

doi:10.1016/0012-365X(86)90164-0

A theorem on associative block designs

J.A. Poutré, la

Department of Mathematics and Computer Science

Research output: Contribution to journal › Article › Academic › peer-review

1 Citation (Scopus)

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Abstract

We show that a necessary condition for the existence of an ABD (k, w) with w> 3 is k (w2). This generalizes a result of Brouwer and proves the nonexistence of ABD(16, 6).

Original language	English
Pages (from-to)	205-208
Number of pages	4
Journal	Discrete Mathematics
Volume	58
Issue number	2
DOIs	https://doi.org/10.1016/0012-365X(86)90164-0
Publication status	Published - 1986

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title = "A theorem on associative block designs",

abstract = "We show that a necessary condition for the existence of an ABD (k, w) with w> 3 is k (w2). This generalizes a result of Brouwer and proves the nonexistence of ABD(16, 6).",

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year = "1986",

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language = "English",

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PY - 1986

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AB - We show that a necessary condition for the existence of an ABD (k, w) with w> 3 is k (w2). This generalizes a result of Brouwer and proves the nonexistence of ABD(16, 6).

U2 - 10.1016/0012-365X(86)90164-0

DO - 10.1016/0012-365X(86)90164-0

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SP - 205

EP - 208

JO - Discrete Mathematics

JF - Discrete Mathematics

SN - 0012-365X

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