The existence of Steiner quadruple systems (SQSs) has been determined by Hanani in 1960. In order to study large sets of Kirkman triple systems (LKTSs), some SQSs and H-designs with additional properties were introduced by several researchers, for example, SQSs with resolvable derived triple systems, H-designs whose derived designs form an overlarge set of Kirkman frames, 2-resolvable SQSs and 2-resolvable SQSs with intersecting property. In this talk, we shall present their roles in constructions of LKTSs and survey constructions of these special SQSs.

Bio: I am a professor at Soochow University. I received my Ph.D. degree in 2003 and my supervisor is Professor Lie Zhu. My research interest includes three-wise balanced designs, Steiner quadruple systems with desired properties, large sets of triple systems, orthogonal arrays, covering arrays, group divisible 3-designs and their applications in optical orthogonal codes, authentication codes, constant weight codes, and frequency hopping sequences. I was awarded ICA Hall Medal in 2015.