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Super‐simple resolvable balanced incomplete block designs with block size 4 and index 2
Author(s) -
Zhang Xiande,
Ge Gennian
Publication year - 2007
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.20129
Subject(s) - mathematics , block size , block (permutation group theory) , combinatorics , simple (philosophy) , index (typography) , block design , discrete mathematics , computer science , key (lock) , computer security , epistemology , world wide web , philosophy
The necessary conditions for the existence of a super‐simple resolvable balanced incomplete block design on v points with block size k = 4 and index λ = 2, are that v ≥ 16 and $v \equiv 4\; (\bmod\; {12})$ . These conditions are shown to be sufficient. © 2006 Wiley Periodicals, Inc. J Combin Designs 15: 341–356, 2007
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