| Autor: |
Colbourn, Charles J., Hoffman, Dean G., Phelps, Kevin T., Rödl, Vojtěch, Winkler, Peter M. |
| Zdroj: |
Combinatorica; September 1991, Vol. 11 Issue: 3 p207-218, 12p |
| Abstrakt: |
We prove that the number oft-wise balanced designs of ordern is asymptotically $$n\left( {(_t^n )/(t + 1)} \right)(1 + o(1))$$ , provided that blocks of sizet are permitted. In the process, we prove that the number oft-profiles (multisets of block sizes) is bounded below by $$\exp \left( {c_1 = \sqrt n \log n} \right)$$ and above by $$\exp \left( {c_2 = \sqrt n \log n} \right)$$ for constants c2>c1>0. |
| Databáze: |
Supplemental Index |
| Externí odkaz: |
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