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Decomposable super‐simple RBIBDs with block size 4 and index 6
Author(s) -
Sun Xianwei,
Abel R. Julian R.,
Yu Huangshen,
Wu Dianhua
Publication year - 2019
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.21675
Subject(s) - mathematics , simple (philosophy) , combinatorics , block (permutation group theory) , block size , index (typography) , component (thermodynamics) , computer science , philosophy , physics , epistemology , key (lock) , world wide web , thermodynamics , computer security
Necessary conditions for the existence of a decomposable super‐simple resolvable ( v , 4 , 6 ) ‐BIBD whose two component subdesigns are both resolvable ( v , 4 , 3 ) ‐BIBDs are v ≡ 0 (mod 4 ) and v ≥ 16 . In this paper, it is proved that these necessary conditions are sufficient, except possibly for v ∈ { 268 , 284 , 292 , 296 } .