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Polygonal designs with blocks of size k≤10

✍ Scribed by John Stufken; James H. Wright


Publisher
Springer
Year
2001
Tongue
English
Weight
55 KB
Volume
54
Category
Article
ISSN
0026-1335

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📜 SIMILAR VOLUMES


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## Abstract The necessary conditions for the existence of a balanced incomplete block design on υ ≥ __k__ points, with index λ and block size __k__, are that: For __k__ = 8, these conditions are known to be sufficient when λ = 1, with 38 possible exceptions, the largest of which is υ = 3,753. For

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An imprimitive permutation group of order 4200 is used for the construction of a 2-(175, 7, 1) design. The design yields also a group divisible design 7&GDD and a generalized Bhaskar Rao design GBRD(25, 100, 28, 7, 7; Z 7 ).

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In this paper, we give constructions of block designs with block size 4 and index 1, for L = 3, 6 which have a blocking set for all admissible orders (with at most 5 possible exceptions). A design which admits a blocking set is 2-colorable. These results, in conjunction with an earlier paper [l], s