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Constructions of nested group divisible designs

✍ Scribed by Xiaoping Duan; Sanpei Kageyama


Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
455 KB
Volume
18
Category
Article
ISSN
0167-7152

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πŸ“œ SIMILAR VOLUMES


New constructions of divisible designs
✍ James A. Davis πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 433 KB

## A construction is given for a (pzO(p+ 1),p2,pZnf'(p+ l),~?"+',p~~(p+ 1)) (p a prime) divisible difference set in the group H x 2, \*a+ I where His any abelian group of order pf 1. This can be used to generate a symmetric semi-regular divisible design; this is a new set of parameters for A, #O,

Matrix constructions of divisible design
✍ K.T. Arasu; Willem H. Haemers; Dieter Jungnickel; Alexander Pott πŸ“‚ Article πŸ“… 1991 πŸ› Elsevier Science 🌐 English βš– 545 KB
Two new direct product-type construction
✍ Rolf S. Rees πŸ“‚ Article πŸ“… 1993 πŸ› John Wiley and Sons 🌐 English βš– 658 KB

## Abstract We present two direct product‐type constructions which will prove useful in the construction of resolvable designs. We use our constructions to complete the spectrum for resolvable group‐divisible designs with block size three, as well as to give a short proof of the existence of decomp