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Some new BIBDS with λ = 1 and 6 ≤ k ≤ 10
Author(s) -
Abel R.J.R.
Publication year - 1996
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(1996)4:1<27::aid-jcd4>3.0.co;2-1
Subject(s) - mathematics , combinatorics , prime power , prime (order theory) , discrete mathematics
This article is in two main parts. The first gives some ( q,k, 1) difference families with q a prime power and 7 ≤ k ≤ 9; it also gives some GD( k , 1, k,kq )s which are extendable to resolvable ( kq,k , 1) BIBDs for k E {6,8,10} and q a prime power equal to 1 mod 2( k − 1). The second uses some of these plus several recursive constructions to obtain some new ( v,k, , 1) BIBDs with 7 ≤ k ≤ 9 and some new ( v ,8,1) resolvable BIBDs. © 1996 John Wiley & Sons, Inc.