Directed PBDs with Block Sizes from K Where K |
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| Authors: | Gennian Ge |
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| Institution: | 1. School of Mathematical Sciences, Capital Normal University, Beijing, 100048, China;2. Beijing Center for Mathematics and Information Interdisciplinary Sciences, Beijing, ChinaContract grant sponsor: National Natural Science Foundation of China;3. contract grant numbers: 11431003 and 61571310. |
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| Abstract: | The research on directed PBDs is motivated by the construction of t‐deletion/insertion‐correcting codes. Fuji‐Hara, Miao, Wang, and Yin have determined the existence of directed PBDs with block sizes from the set  and the set  completely. In this paper, we consider the cases of  . We settle almost completely for these cases, leaving finite values undetermined. |
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| Keywords: | directed pairwise balanced designs directed group divisible designs group divisible designs pairwise balanced designs Primary 05B05 |
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and the set 
completely. In this paper, we consider the cases of 
. We settle almost completely for these cases, leaving finite values undetermined.