Group Divisible Designs With Two Groups and Block Size Five With Fixed Block Configuration
نویسندگان
چکیده
We present constructions and results about GDDs with two groups and block size five in which each block has Configuration (s, t), that is, in which each block has exactly s points from one of the two groups and t points from the other. After some results for a general k, s and t, we consider the (2, 3) case for block size 5. We give new necessary conditions for this family of GDDs and give minimal or near-minimal index examples for all group sizes n ≥ 4 except for n = 24s+ 17.
منابع مشابه
Group divisible designs of three groups and block size five with configuration (1, 2, 2)
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 i...
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تاریخ انتشار 2007