caa a22 4500 386307407 CHVBK 20180307111534.0 cr unu---uuuuu 161130e198802 xx s 000 0 eng 10.1017/S1446788700031372 doi S1446788700031372 pii (NATIONALLICENCE)cambridge-10.1017/S1446788700031372 Recursive constructions and some properties of twofold designs with block size four [Elektronische Daten] A direct construction for partially resolvable t-partitions is presented and then used to give a recursive construction for BIBDs (ν, 4, 2). In particular, we construct BIBD(ν, 4, 2) with BIBD(ν, 4, 2) embedded in it whenever ν = 3u + a, a {1, 4, 7}. This result allows us to give simple proofs for the existence of BIBD(ν, 4, 2) with various additioinal properties. Copyright © Australian Mathematical Society 1988 05 B 05 nationallicence Phelps K. T. School of Mathematics Georgia Institute of Technology Atlanta, Georgia 30332, U.S.A. Rosa A. Department of Mathematics and Statistics McMaster University Hamilton, Ontario Canada L8S 4K1 Journal of the Australian Mathematical Society Cambridge University Press 44/1(1988-02), 64-70 1446-7887 44:1<64 1988 44 JAZ https://doi.org/10.1017/S1446788700031372 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S1446788700031372 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Phelps K. T. School of Mathematics Georgia Institute of Technology Atlanta, Georgia 30332, U.S.A NATIONALLICENCE 700 1- Rosa A. Department of Mathematics and Statistics McMaster University Hamilton, Ontario Canada L8S 4K1 NATIONALLICENCE 773 0- Journal of the Australian Mathematical Society Cambridge University Press 44/1(1988-02), 64-70 1446-7887 44:1<64 1988 44 JAZ CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge