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More balanced incomplete block designs from frobenius groups

โœ Scribed by James R Clay

Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
331 KB
Volume
59
Category
Article
ISSN
0012-365X

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โœฆ Synopsis

From a Frobenius group G = N x 0 ff~ with kernel N and complement 4, one can sometimes construct new balanced incomplete block designs by taking as blocks the translations in N of blocks made from the union of the nontrivial orbits of โ€ข of a and -a in N together with the trivial orbit {0}.

๐Ÿ“œ SIMILAR VOLUMES

Generalized partially balanced incomplet
Generalized partially balanced incomplete block designs
โœ Kishore Sinha ๐Ÿ“‚ Article ๐Ÿ“… 1987 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 178 KB

The concept of generalized partially balanced incomplete block (PBIB) design is introduced. Generalized PBIB designs are shown to be useful for the construction of equireplicate balanced block designs, pairwise balanced designs and BIB designs.

Balanced incomplete block designs with b
Balanced incomplete block designs with block size 8
โœ R. Julian R. Abel; Iliya Bluskov; Malcolm Greig ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 257 KB

## Abstract The necessary conditions for the existence of a balanced incomplete block design on ฯ…โ€‰โ‰ฅโ€‰__k__ points, with index ฮป and block size __k__, are that: For __k__โ€‰=โ€‰8, these conditions are known to be sufficient when ฮปโ€‰=โ€‰1, with 38 possible exceptions, the largest of which is ฯ…โ€‰=โ€‰3,753. For