A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2018; you can also visit the original URL.
The file type is application/pdf.
Recursive constructions and some properties of twofold designs with block size four
1988
Journal of the Australian Mathematical Society
Preserved Fulltext
A direct construction for partially resolvable r-partitions is presented and then used to give a recursive construction for BIBDs (v,4,2). In particular, we construct B I B D ( u , 4 , 2 ) with B I B D ( u , 4 , 2 ) em bedded in it whenever v = 3u + a, a e { 1 , 4 , 7 ) . This result allows us to give simple proofs for the existence of B I B D ( u , 4 , 2 ) with various additioinal properties. 1980 Mathematics subject classification (Amer. Math. Soc): 05 B 05.
doi:10.1017/s1446788700031372
fatcat:4g2r5rz6gzbkvg3lnkhpbbabmm