Group divisible designs of three groups and block size five with configuration (1, 2, 2)
نویسندگان
چکیده
The subject matter for this paper is GDDs with three groups and block size five in which each block has configuration (1, 2, 2); that is, each block has exactly one point from one of the three groups and two points from each of the other two groups. We provide necessary and sufficient conditions of the existence of a GDD (n, 3, 5;λ1, λ2) with configuration (1, 2, 2). A highlight of this paper is a technique which uses two and then three idempotent MOLS consecutively to construct a required family of GDDs.
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عنوان ژورنال:
- Australasian J. Combinatorics
دوره 66 شماره
صفحات -
تاریخ انتشار 2016