## Abstract In this article, two constructions of (__v__, (__v__โโโ1)/2, (__v__โโโ3)/2) difference families are presented. The first construction produces both cyclic and noncyclic difference families, while the second one gives only cyclic difference families. The parameters of the second construc
Some naive constructions of S(2, 3, v) and S(2, 4, v)
โ Scribed by Marialuisa J. de Resmini
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 325 KB
- Volume
- 97
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
## It is shown that the necessary condition for a given SA(2,4,u) to be embedded in some S ~( 2 , 4 , v ) as a subdesign, namely v 2 3 u + 1, is also sufficient for the case of A = 6. Combining this with the previously known results gives the same sufficiency for any positive integer A.
A Kirkman square with index 2, latinicity #, block size k and v points, KSk(v; #, Z), is a t x t array (t = 3.(v -1)/#(k -1)) defined on a v-set V such that (1) each point of V is contained in precisely # cells of each row and column, (2) each cell of the array is either empty or contains a k subset