In search of 4 - (12,6,4) designs. Part I
As a first step towards finding all 4-(12, 6, 4) designs which are not 5-(12, 6, 1) designs, it is shown that if such a design has a pair of blocks with five points in common, then there is a unique way of assigning the replicas of the seven points from that pair of blocks to the other blocks of the design.
SubjectsField of Research::01 - Mathematical Sciences::0101 - Pure Mathematics::010104 - Combinatorics and Discrete Mathematics (excl. Physical Combinatorics)
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