Directed PBDs with Block Sizes from K Where    {  4  }  ⊆    K    ⊆  {  4  ,  …  ,  9  } | Zendy

Wei Hengjia | Zendy; Ge Gennian | Zendy

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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.

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