Abstract
Two resolutions of the same \(\hbox {SQS}(v)\) 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 \(\hbox {SQS}(v)\) has two orthogonal resolutions, the \(\hbox {SQS}(v)\) is called a doubly resolvable \(\hbox {SQS}(v)\). 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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Acknowledgments
This research was supported by NSFC Grant No. U1304105, a Project of Shandong Province Higher Educational Science and Technology Program Grant NO:J14LI12 and The “12th Five-Year” Educational Science Plan of Shandong Province Grant No. ZBS15006.
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Communicated by D. Jungnickel.
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Meng, Z. Doubly resolvable Steiner quadruple systems and related designs. Des. Codes Cryptogr. 84, 325–343 (2017). https://doi.org/10.1007/s10623-016-0269-5
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DOI: https://doi.org/10.1007/s10623-016-0269-5