ABSTRACT A design is said to be super‐simple if any two of its blocks have at most two common points. A design with index is said to be ‐ decomposable , if its blocks can be partitioned into nonempty collections , such that each with the point set forms a design with index . In this paper, it is proved that there exists a ‐DSS ‐GDD (decomposable super‐simple group divisible design) of type if and only if and , and except possibly for .
Chen et al. (Thu,) studied this question.
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