A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2022; you can also visit the original URL.
The file type is application/pdf.
GBRDs with block size 3 over odd order groups and groups of orders divisible by 2 but not 4
2012
The Australasian Journal of Combinatorics
Preserved Fulltext
Well-known necessary conditions for the existence of a generalized Bhaskar Rao design, GBRD(v, 3, λ; G) with v ≥ 4 are: (i ) λ ≡ 0 (mod |G|), (ii ) λ(v − 1) ≡ 0 (mod 2), (iii ) λv(v − 1) ≡ 0 (mod 3), (iv ) if |G| ≡ 0 (mod 2) then λv(v − 1) ≡ 0 (mod 8). In this paper we show that these conditions are sufficient whenever (i ) the group G has odd order or (ii ) the order is of the form 2q for q = 3 m or q an odd number which is not a multiple of 3.
dblp:journals/ajc/AbelCNP12
fatcat:4odvm4j3rrdhtpxhf4pfm5mhri