Super-simple balanced incomplete block designs with block size 4 and index 6

Kejun Chen; Zhenfu Cao; Ruizhong Wei

doi:10.1016/j.jspi.2004.01.013

Super-simple balanced incomplete block designs with block size 4 and index 6

Kejun Chen^*
, Zhenfu Cao
, Ruizhong Wei

^*Corresponding author for this work

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

36 Scopus citations

Abstract

Super-simple designs are useful in the construction of superimposed codes. The necessary condition for the existence of a super-simple balanced incomplete block design on v points with k = 4 and λ = 6, is that v ≥ 14. The condition is shown to be sufficient.

Original language	English
Pages (from-to)	537-554
Number of pages	18
Journal	Journal of Statistical Planning and Inference
Volume	133
Issue number	2
DOIs	https://doi.org/10.1016/j.jspi.2004.01.013
State	Published - 1 Aug 2005
Externally published	Yes

Keywords

Generating set
Group divisible design
Pairwise balanced design
Super-simple design

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10.1016/j.jspi.2004.01.013

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title = "Super-simple balanced incomplete block designs with block size 4 and index 6",

abstract = "Super-simple designs are useful in the construction of superimposed codes. The necessary condition for the existence of a super-simple balanced incomplete block design on v points with k = 4 and λ = 6, is that v ≥ 14. The condition is shown to be sufficient.",

keywords = "Generating set, Group divisible design, Pairwise balanced design, Super-simple design",

author = "Kejun Chen and Zhenfu Cao and Ruizhong Wei",

year = "2005",

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day = "1",

doi = "10.1016/j.jspi.2004.01.013",

language = "英语",

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pages = "537--554",

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TY - JOUR

T1 - Super-simple balanced incomplete block designs with block size 4 and index 6

AU - Chen, Kejun

AU - Cao, Zhenfu

AU - Wei, Ruizhong

PY - 2005/8/1

Y1 - 2005/8/1

N2 - Super-simple designs are useful in the construction of superimposed codes. The necessary condition for the existence of a super-simple balanced incomplete block design on v points with k = 4 and λ = 6, is that v ≥ 14. The condition is shown to be sufficient.

AB - Super-simple designs are useful in the construction of superimposed codes. The necessary condition for the existence of a super-simple balanced incomplete block design on v points with k = 4 and λ = 6, is that v ≥ 14. The condition is shown to be sufficient.

KW - Generating set

KW - Group divisible design

KW - Pairwise balanced design

KW - Super-simple design

UR - https://www.scopus.com/pages/publications/18944376886

U2 - 10.1016/j.jspi.2004.01.013

DO - 10.1016/j.jspi.2004.01.013

M3 - 文章

AN - SCOPUS:18944376886

SN - 0378-3758

VL - 133

SP - 537

EP - 554

JO - Journal of Statistical Planning and Inference

JF - Journal of Statistical Planning and Inference

IS - 2

ER -

Super-simple balanced incomplete block designs with block size 4 and index 6

Abstract

Keywords

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