Geodesic
Block Intersections in Balanced Incomplete Block Designs
Canadian mathematical bulletin, Tome 7 (1964) no. 4, pp. 539-548

Voir la notice de l'article provenant de la source Cambridge University Press

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
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[1] 1. Bose, R. C., A note on the resolvability of balanced incomplete block designs, Sankhya 6 (1942), 105–110. Google Scholar

[2] 2. Fisher, R. A., An examination of different possible solutions in incomplete blocks, Ann. Eugenics 10 (1940), 52–75. Google Scholar | DOI

[3] 3. Parker, E. T., Remarks on balanced incomplete block designs, Proc. Amer. Math. Soc. 14 (1963), 729–730. Google Scholar | DOI

[4] 4. Seiden, E., A supplement to Parker's "Remarks on balanced incomplete block designs", Proc. Amer. Math. Soc. 14 (1963), 731–732. Google Scholar

[5] 5. Stanton, R. G., A Note on BIBDs, Ann. Math. Stat. 28 (1957), 1054–1055. Google Scholar | DOI

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