A Family of Partial Geometric Designs from Three‐Class Association Schemes
JOURNAL OF COMBINATORIAL DESIGNS(2016)
摘要
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.
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关键词
association scheme,orthogonal array,11/2-design
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