Geodesic
A Note on (r, λ)-Systems
Canadian mathematical bulletin, Tome 20 (1977) no. 4, pp. 511-512

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An (r, λ)-system is an arrangement of v objects (or varieties) into subsets (or blocks) such that each variety appears in exactly r blocks and each pair of distinct varieties appears in exactly λ blocks. To avoid trivial designs, we assume that 1≤λ<r. 
Gardner, B. A Note on (r, λ)-Systems. Canadian mathematical bulletin, Tome 20 (1977) no. 4, pp. 511-512. doi: 10.4153/CMB-1977-077-5
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[1] 1. Gardner, B., On Coverings and (r, ?)-systems, Ph.D. Thesis, University of Waterloo, 1972. Google Scholar

[2] 2. Stanton, R.G. and Mullin, R.C., Inductive Methods for Balanced Incomplete Block Designs, Ann. Math. Stat. 37 (1966), 1348-1354. Google Scholar

[3] 3. Vranch, J., On Critical (r, k)-sy stems, Can. Math. Bull. 19 (1976), 217-220. Google Scholar

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