Direct constructions of large sets of Kirkman triple systems

作者：Zheng, Hao; Chang, Yanxun; Zhou, Junling^*

来源：Designs, Codes and Cryptography, 2017, 83(1): 23-32.

DOI：10.1007/s10623-016-0197-4

• Automorphism
• Difference family
• Large set
• Kirkman triple system

Research on the existence of large sets of Kirkman triple systems (LKTS) extends from the mid-eighteen hundreds to the present. In this paper we review known direct approaches of constructing LKTS and present new ideas of direct constructions. We finally prove the existence of an LKTS(v) where . Combining recursive constructions yields several new infinite classes.

• 出版日期2017-4
• 单位北京交通大学