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A Family Of Partial Geometric Designs From Three-Class Association Schemes
- Publication Year :
- 2016
- Publisher :
- Aperta, 2016.
-
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. (C) 2016 Wiley Periodicals, Inc.
Details
- Database :
- OpenAIRE
- Accession number :
- edsair.r39c86a4b39b..918be69cc26f1fb9589d3aeba89df8e6