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.
✦ LIBER ✦
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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## 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.