Recursive constructions for cyclic BIB designs and their generalizations
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Add time:09/10/2019 Source:sciencedirect.com
In this paper, recursive constructions for cyclic BIB designs and for BIB designs with more general automorphism groups are discussed. First, a brief survey of cyclic BIB designs and 1-rotational BIB designs is given along with two types of recursive constructions for them. Secondly, it is shown that the recursive construction method can be applied to cyclic nested BIB designs. Thirdly, one of these recursive constructions is extended to a construction of a BIB design with a sharply transitive automorphism group.
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