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Automorphisms of symmetric balanced incomplete block designs

โœ Scribed by Walter Feit


Publisher
Springer-Verlag
Year
1970
Tongue
French
Weight
454 KB
Volume
118
Category
Article
ISSN
0025-5874

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๐Ÿ“œ SIMILAR VOLUMES


Some balanced incomplete block designs
โœ A.L Whiteman ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 138 KB

New constructions for SBIBDs with parameters (v, k, A) = (45, 12, 3), (36, 15, 6), and (40, 13, 4) are given in this note. (~) 2000 Elsevier Science Ltd. All rights reserved.

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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.

N-way balanced incomplete block designs
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We construct a family of n-dimensional designs with the property that all the two-dimensional margins are balanced incomplete block designs. Combinatorial and statistical properties of these designs as balanced main-e ect plans are discussed. It is shown that there are nonisomorphic designs with di

Balanced incomplete block designs with b
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