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Block designs with block size two

โœ Scribed by R.A. Bailey; D.C. Goldrei; D.F. Holt


Publisher
Elsevier Science
Year
1984
Tongue
English
Weight
410 KB
Volume
10
Category
Article
ISSN
0378-3758

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๐Ÿ“œ SIMILAR VOLUMES


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A k-design is a family B ={B 1 , B 2 ,...,B v } of subsets of X ={1, 2,...,v} such that |B i โˆฉB j |=k for all i = j and not all B i are of the same size. The only known example of k-designs (called type-1 designs) are those obtained from symmetric designs by a certain complementation procedure. Ryse

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## 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

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