A theorem on associative block designs

J.A. Poutré, la

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

1 Citation (Scopus)
4 Downloads (Pure)

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 languageEnglish
Pages (from-to)205-208
Number of pages4
JournalDiscrete Mathematics
Volume58
Issue number2
DOIs
Publication statusPublished - 1986

Fingerprint

Block Design
Nonexistence
Necessary Conditions
Generalise
Theorem

Cite this

Poutré, la, J.A. / A theorem on associative block designs. In: Discrete Mathematics. 1986 ; Vol. 58, No. 2. pp. 205-208.
@article{cfd0bcab6c194117a73a4898e34810a4,
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).",
author = "{Poutr{\'e}, la}, J.A.",
year = "1986",
doi = "10.1016/0012-365X(86)90164-0",
language = "English",
volume = "58",
pages = "205--208",
journal = "Discrete Mathematics",
issn = "0012-365X",
publisher = "Elsevier",
number = "2",

}

Poutré, la, JA 1986, 'A theorem on associative block designs', Discrete Mathematics, vol. 58, no. 2, pp. 205-208. https://doi.org/10.1016/0012-365X(86)90164-0

A theorem on associative block designs. / Poutré, la, J.A.

In: Discrete Mathematics, Vol. 58, No. 2, 1986, p. 205-208.

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

TY - JOUR

T1 - A theorem on associative block designs

AU - Poutré, la, J.A.

PY - 1986

Y1 - 1986

N2 - 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).

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

M3 - Article

VL - 58

SP - 205

EP - 208

JO - Discrete Mathematics

JF - Discrete Mathematics

SN - 0012-365X

IS - 2

ER -

Poutré, la JA. A theorem on associative block designs. Discrete Mathematics. 1986;58(2):205-208. https://doi.org/10.1016/0012-365X(86)90164-0

Access to Document