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Existence of Incomplete Transversal Designs with Block Size Five and Any Index λ

✍ Scribed by R. J. R. Abel; Charles J. Colbourn; Jianxing Yin; Hantao Zhang


Book ID
110260530
Publisher
Springer
Year
1997
Tongue
English
Weight
160 KB
Volume
10
Category
Article
ISSN
0925-1022

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📜 SIMILAR VOLUMES


On the existence of incomplete transvers
✍ B. Du 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 611 KB

We consider sets of incomplete transversal designs with block size five TD [S; u] -TD [S; n]. We show that designs exist if and only if u 2 4n, with the possible exception of 108 values of (v, n) for which existence is undecided.

Super-simple resolvable balanced incompl
✍ Gennian Ge; C. W. H. Lam 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 124 KB

## Abstract The necessary conditions for the existence of a super‐simple resolvable balanced incomplete block design on __v__ points with __k__ = 4 and λ = 3, are that __v__ ≥ 8 and __v__ ≡ 0 mod 4. These conditions are shown to be sufficient except for __v__ = 12. © 2003 Wiley Periodicals, Inc.