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Some new BIBDs with block size 7
Author(s) -
Abel R. Julian R.
Publication year - 2000
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/(sici)1520-6610(2000)8:2<146::aid-jcd7>3.0.co;2-h
Subject(s) - mathematics , block (permutation group theory) , combinatorics , block size , statistics , computer science , computer security , key (lock)
For λ ≥ 3 the existence problem for(ν,7,λ) BIBDs has been completely solved, except when ν = 253. In this paper, 3 new direct (ν,7,λ) BIBD constructions are given for (ν,λ) = (259,1), (106,2), and (253,2). Some features of the known (175,7,1) BIBD are also discussed. Finally, a few (ν,7,1) BIBDs are obtained recursively. © 2000 John Wiley & Sons, Inc. J Combin Designs 8: 146–150, 2000