A Family of Partial Geometric Designs from Three-Class Association Schemes

作者：Nowak Kathleen^*; Olmez Oktay; Song Sung Y

来源：Journal of Combinatorial Designs, 2016, 24(12): 533-552.

DOI：10.1002/jcd.21518

• association scheme
• orthogonal array
• 11/2-design

In this paper, we show that partial geometric designs can be constructed from certain three-class association schemes and ternary linear codes with dual distance three. In particular, we obtain a family of partial geometric designs from the three-class association schemes introduced by Kageyama, Saha, and Das in their article ["Reduction of the number of associate classes of hypercubic association schemes," Ann Inst Statist Math 30 (1978)]. We also give a list of directed strongly regular graphs arising from the partial geometric designs obtained in this paper.

• 出版日期2016-12