Pairwise Balanced Designs with Consecutive Block Sizes

Alan C.H. Ling; Xiaojun Zhu; Charles J. Colbourn; Ronald C. Mullin

doi:10.1023/A:1008248521550

Pairwise Balanced Designs with Consecutive Block Sizes

Alan C.H. Ling, Xiaojun Zhu, Charles J. Colbourn, Ronald C. Mullin

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

36 Scopus citations

Abstract

This paper deals with existence for pairwise balanced designs with block sizes 5,6 and 7, block sizes 6,7 and 8 and block sizes 7,8 and 9 and some consequences of these results.

Original language	English (US)
Pages (from-to)	203-222
Number of pages	20
Journal	Designs, Codes, and Cryptography
Volume	10
Issue number	2
DOIs	https://doi.org/10.1023/A:1008248521550
State	Published - 1997
Externally published	Yes

Keywords

Combinatorial designs
Finite linear spaces
PBD-closure

ASJC Scopus subject areas

Computer Science Applications
Applied Mathematics

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10.1023/A:1008248521550

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title = "Pairwise Balanced Designs with Consecutive Block Sizes",

abstract = "This paper deals with existence for pairwise balanced designs with block sizes 5,6 and 7, block sizes 6,7 and 8 and block sizes 7,8 and 9 and some consequences of these results.",

keywords = "Combinatorial designs, Finite linear spaces, PBD-closure",

author = "Ling, {Alan C.H.} and Xiaojun Zhu and Colbourn, {Charles J.} and Mullin, {Ronald C.}",

year = "1997",

doi = "10.1023/A:1008248521550",

language = "English (US)",

volume = "10",

pages = "203--222",

journal = "Designs, Codes, and Cryptography",

issn = "0925-1022",

publisher = "Springer Netherlands",

number = "2",

}

TY - JOUR

T1 - Pairwise Balanced Designs with Consecutive Block Sizes

AU - Ling, Alan C.H.

AU - Zhu, Xiaojun

AU - Colbourn, Charles J.

AU - Mullin, Ronald C.

PY - 1997

Y1 - 1997

N2 - This paper deals with existence for pairwise balanced designs with block sizes 5,6 and 7, block sizes 6,7 and 8 and block sizes 7,8 and 9 and some consequences of these results.

AB - This paper deals with existence for pairwise balanced designs with block sizes 5,6 and 7, block sizes 6,7 and 8 and block sizes 7,8 and 9 and some consequences of these results.

KW - Combinatorial designs

KW - Finite linear spaces

KW - PBD-closure

UR - http://www.scopus.com/inward/record.url?scp=0013549373&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0013549373&partnerID=8YFLogxK

U2 - 10.1023/A:1008248521550

DO - 10.1023/A:1008248521550

M3 - Article

AN - SCOPUS:0013549373

SN - 0925-1022

VL - 10

SP - 203

EP - 222

JO - Designs, Codes, and Cryptography

JF - Designs, Codes, and Cryptography

IS - 2

ER -

Pairwise Balanced Designs with Consecutive Block Sizes

Abstract

Keywords

ASJC Scopus subject areas

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