Block Intersections in Balanced Incomplete Block Designs
Canadian mathematical bulletin, Tome 7 (1964) no. 4, pp. 539-548
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One of the most interesting of the smaller BIBD's is the system (8, 14, 7, 4, 3), where we write the parameters in the standard order v, b, r, k, λ. One representation of a design with these parameters is 1248, 3567; 2358, 1467; 3468, 1257; 4578, 1236; 5618,2347; 6728,1345; 7138,2456. This particular design has the feature that every block B is paired with a complementary block B' consisting of all varieties not lying in B. Thus
Stanton, R. G.; Sprott, D. A. Block Intersections in Balanced Incomplete Block Designs. Canadian mathematical bulletin, Tome 7 (1964) no. 4, pp. 539-548. doi: 10.4153/CMB-1964-050-0
@article{10_4153_CMB_1964_050_0,
author = {Stanton, R. G. and Sprott, D. A.},
title = {Block {Intersections} in {Balanced} {Incomplete} {Block} {Designs}},
journal = {Canadian mathematical bulletin},
pages = {539--548},
year = {1964},
volume = {7},
number = {4},
doi = {10.4153/CMB-1964-050-0},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1964-050-0/}
}
TY - JOUR AU - Stanton, R. G. AU - Sprott, D. A. TI - Block Intersections in Balanced Incomplete Block Designs JO - Canadian mathematical bulletin PY - 1964 SP - 539 EP - 548 VL - 7 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1964-050-0/ DO - 10.4153/CMB-1964-050-0 ID - 10_4153_CMB_1964_050_0 ER -
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