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Super‐simple resolvable balanced incomplete block designs with block size 4 and index 3
Author(s) -
Ge Gennian,
Lam C. W. H.
Publication year - 2003
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.10060
Subject(s) - mathematics , combinatorics , block (permutation group theory) , simple (philosophy) , block size , block design , index (typography) , discrete mathematics , computer science , key (lock) , philosophy , computer security , epistemology , world wide web
The necessary conditions for the existence of a super‐simple resolvable balanced incomplete block design on v points with k = 4 and λ = 3, are that v ≥ 8 and v ≡ 0 mod 4. These conditions are shown to be sufficient except for v = 12. © 2003 Wiley Periodicals, Inc.