Group divisible designs with block size four and group type g super()umu1where g is a multiple of 8

We determine, up to some possible exceptions, the spectrum for 4-GDDs of type g super()umu1 where g is a multiple of 8 until 48, g is a multiple of 24 until 144, respectively. These spectra are without exceptions for g=8, 16, 24, 48, 72, 96, 120 and 144. Furthermore, we establish, up to a finite num...

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Bibliographic Details
Published in:Discrete mathematics 2010-09, Vol.310 (17-18), p.2258-2270
Main Author: Schuster, Ernst
Format: Article
Language:English
Subjects:
Blocking
Mathematical analysis
Spectra
Online Access:Get full text
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Summary:We determine, up to some possible exceptions, the spectrum for 4-GDDs of type g super()umu1 where g is a multiple of 8 until 48, g is a multiple of 24 until 144, respectively. These spectra are without exceptions for g=8, 16, 24, 48, 72, 96, 120 and 144. Furthermore, we establish, up to a finite number of possible exceptions, the spectra for 4-GDDs of types 30 super()umu1and 90 super()umu1 Finally, we provide nine {3, 5}-URDs which were the last possible exceptions in their classes.
ISSN:0012-365X
DOI:10.1016/j.disc.2010.04.027