Modified group divisible designs with block size 4 and λ=1

Ahmed M. Assaf; Ruizhong Wei

doi:10.1016/S0012-365X(98)00161-7

Modified group divisible designs with block size 4 and λ=1

Ahmed M. Assaf, Ruizhong Wei

Mathematics

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

36 Scopus citations

Abstract

In this paper it is shown that the MGD[4,1,m,mn] exist when (m-1)(n-1)≡1 (mod 3) and n,m≥4 with some possible exceptions.

Original language	English
Pages (from-to)	15-25
Number of pages	11
Journal	Discrete Mathematics
Volume	195
Issue number	1-3
DOIs	https://doi.org/10.1016/S0012-365X(98)00161-7
State	Published - 1999

Keywords

Cyclotomic class
GDD
Modified GDD
PBD

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10.1016/S0012-365X(98)00161-7

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title = "Modified group divisible designs with block size 4 and λ=1",

abstract = "In this paper it is shown that the MGD[4,1,m,mn] exist when (m-1)(n-1)≡1 (mod 3) and n,m≥4 with some possible exceptions.",

keywords = "Cyclotomic class, GDD, Modified GDD, PBD",

author = "Assaf, {Ahmed M.} and Ruizhong Wei",

year = "1999",

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journal = "Discrete Mathematics",

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AU - Assaf, Ahmed M.

AU - Wei, Ruizhong

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AB - In this paper it is shown that the MGD[4,1,m,mn] exist when (m-1)(n-1)≡1 (mod 3) and n,m≥4 with some possible exceptions.

KW - Cyclotomic class

KW - GDD

KW - Modified GDD

KW - PBD

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U2 - 10.1016/S0012-365X(98)00161-7

DO - 10.1016/S0012-365X(98)00161-7

M3 - Article

AN - SCOPUS:0009229367

SN - 0012-365X

VL - 195

SP - 15

EP - 25

JO - Discrete Mathematics

JF - Discrete Mathematics

IS - 1-3

ER -

Modified group divisible designs with block size 4 and λ=1

Abstract

Keywords

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