Further Results on Large Sets of Resolvable Idempotent Latin Squares
β Scribed by Junling Zhou; Yanxun Chang
- Book ID
- 112120482
- Publisher
- John Wiley and Sons
- Year
- 2012
- Tongue
- English
- Weight
- 487 KB
- Volume
- 20
- Category
- Article
- ISSN
- 1063-8539
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let us denote by COILS(v) a (3,2, l)-conjugate orthogonal idempotent Latin square of order v, and by ICOILS(v, n) an incomplete COILS(v) missing a sub-COILS(n). A necessary condition for the existence of an ICOILS(v, and the necessary condition for its existence has recently been shown by the auth
This paper is a continuation of a recent paper by Chen and Stinson, where some recursive constructions for large sets of group-divisible design with block size 3 arc presented. In this paper, we give two new recursive constructions. In particular, we apply these constructions in the case of design
## Abstract Large sets of disjoint groupβdivisible designs with block size three and type 2^n^4^1^ were first studied by Schellenberg and Stinson because of their connection with perfect threshold schemes. It is known that such large sets can exist only for __n__ β‘0 (mod 3) and do exist for all odd