Difference families, difference matrices, and bib-designs
โ Scribed by B. T. Rumov
- Book ID
- 105098271
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1985
- Tongue
- English
- Weight
- 560 KB
- Volume
- 38
- Category
- Article
- ISSN
- 0001-4346
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We present a new recursive construction for difference matrices whose application allows us to improve some results by D. Jungnickel. For instance, we prove that for any Abelian p-group G of type (n1 , n2 , . . . , nt) there exists a (G, p e , 1) difference matrix with e = ฮฃ i n i m ax i n i . Also,
## Abstract The existence problems of perfect difference families with block size __k__, __k__=4,5, and additive sequences of permutations of length __n__, __n__=3,4, are two outstanding open problems in combinatorial design theory for more than 30 years. In this article, we mainly investigate perf