Abstract

Two resolutions of the same $$\hbox {SQS}(v)$$SQS(v) are said to be orthogonal, when each parallel class of one resolution has at most one block in common with each parallel class of the other resolution. If an $$\hbox {SQS}(v)$$SQS(v) has two orthogonal resolutions, the $$\hbox {SQS}(v)$$SQS(v) is called a doubly resolvable $$\hbox {SQS}(v)$$SQS(v). In this paper, we use a quadrupling construction to obtain an infinite class of doubly resolvable Steiner quadruple systems. We also give some results of doubly resolvable H designs and doubly resolvable candelabra quadruple systems.

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