A Family of Partial Geometric Designs from Three‐Class Association Schemes |
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| Authors: | Kathleen Nowak Oktay Olmez Sung Y. Song |
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| Affiliation: | 1. Department of Mathematics, Iowa State University, Ames, Iowa;2. Department of Mathematics, Ankara University, Tandogan, Ankara, Turkey |
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| Abstract: | 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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| Keywords: | association scheme orthogonal array ‐design Mathematics Subject Classification (2000): 05B10 05B05 05E30 |
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