Symmetric ‐Designs and ‐Difference Sets
Abstract In this paper, we introduce a method to construct ‐designs, which are also known as partial geometric designs, by using subsets of certain finite groups. We introduce the concept of ‐difference sets and investigate the existence and nonexistence of these structures. We also provide some non...
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| Published in | Journal of combinatorial designs Vol. 22; no. 6; pp. 252 - 269 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
01.06.2014
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| Online Access | Get full text |
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| Summary: | Abstract
In this paper, we introduce a method to construct
‐designs, which are also known as partial geometric designs, by using subsets of certain finite groups. We introduce the concept of
‐difference sets and investigate the existence and nonexistence of these structures. We also provide some nonexistence results on
‐designs based on the fact that
‐designs yield directed strongly regular graphs. |
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| ISSN: | 1063-8539 1520-6610 |
| DOI: | 10.1002/jcd.21354 |