Decomposable super‐simple RBIBDs with block size 4 and index 6 | Zendy

Sun Xianwei | Zendy; Abel R. Julian R. | Zendy; Yu Huangshen | Zendy; Wu Dianhua | Zendy

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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 } .

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