Constructions for resolvable and related designs
β Scribed by V. C. Mavron
- Publisher
- Springer
- Year
- 1981
- Tongue
- English
- Weight
- 912 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0001-9054
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π SIMILAR VOLUMES
The purpose of this article is twofold. First, it is shown that classical inversive planes of even order can be used to construct a class of 2 -(2 2n +1, 2 n , 2 n -1) near resolvable designs, in which any two blocks have at most 2 points in common. Secondly, it is shown that a recursive constructio
## Abstract A (Ξ½, __k__, __k__β1) near resolvable block design (NRBD) is __r__βrotational over a group __G__ if it admits __G__ as an automorphism group of order (Ξ½β1)/__r__ fixing exactly one point and acting semiregularly on the others. We give direct and recursive constructions for rotational NR
## Abstract We present two direct productβtype constructions which will prove useful in the construction of resolvable designs. We use our constructions to complete the spectrum for resolvable groupβdivisible designs with block size three, as well as to give a short proof of the existence of decomp
We consider direct constructions due to R. J. R. Abel and