Premium
Directed PBDs with Block Sizes from K Where { 4 } ⊆ K ⊆ { 4 , … , 9 }
Author(s) -
Wei Hengjia,
Ge Gennian
Publication year - 2017
Publication title -
journal of combinatorial designs
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.618
H-Index - 34
eISSN - 1520-6610
pISSN - 1063-8539
DOI - 10.1002/jcd.21555
Subject(s) - mathematics , combinatorics , block (permutation group theory) , set (abstract data type) , discrete mathematics , arithmetic , computer science , programming language
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 K = { 4 , 5 } and the set K = { 4 , 6 } completely. In this paper, we consider the cases of { 4 } ⊆ K ⊆ { 4 , … , 9 } . We settle almost completely for these cases, leaving finite values undetermined.