## Abstract Several new families of __c__‐Bhaskar Rao designs with block size 4 are constructed. The necessary conditions for the existence of a __c__‐BRD (υ,4,λ) are that: (1)λ~min~=−λ/3 ≤ __c__ ≤ λ and (2a) __c__≡λ (mod 2), if υ > 4 or (2b) __c__≡ λ (mod 4), if υ = 4 or (2c) __c__≠ λ − 2, if υ =
A family of 4-designs with block size 9
✍ Scribed by Jürgen Bierbrauer
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 204 KB
- Volume
- 138
- Category
- Article
- ISSN
- 0012-365X
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✦ Synopsis
We construct a family of simple 4-designs with parameters 4-(2:+ 1,9, 84), (f, 6)= 1, f>~5.
📜 SIMILAR VOLUMES
A (u, k, ,I) packing design of order u, block size k, and index I is a collection of k-element subsets, called blocks, of a u-set, V, such that every 2-subset of V occurs in at most A blocks. The packing problem is to determine the maximum number of blocks in a packing design. In this paper we solve
A packing (respectively covering) design of order v, block size k, and index ~ is a collection of k-element subsets, called blocks, of a v-set, V, such that every 2-subset of V occurs in at most (at least) 3. blocks. The packing (covering) problem is to determine the maximum (minimum) number of bloc
A Mendelsohn design MD(v, k, λ) is a pair (X, B) where X is a v-set together with a collection B of cyclic k-tuples from X such that each ordered pair from X, as adjacent entries, is contained in exactly λk-tuples of B. The existence of SCMD(v, 3, λ) and SCMD(v, 4, 1) has been settled by us. In thi