Abstract
The basic necessary condition for the existence of a T D (5, λ; υ) - T D (5, λ; u), namely υ ≥ 4u, is shown to be sufficient for any λ ≥ 1, except when (υ, u) = (6, 1) and λ = 1, and possibly when (υ, u) = (10, 1) or (52, 6) and λ = 1. For the case λ = 1, 86 new incomplete transversal designs are constructed. Several construction techniques are developed, and some new incomplete TDs with block size six and seven are also presented.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 275-307 |
| Number of pages | 33 |
| Journal | Designs, Codes, and Cryptography |
| Volume | 10 |
| Issue number | 3 |
| DOIs | |
| State | Published - Jan 1 1997 |
| Externally published | Yes |
Keywords
- Group divisible design
- Latin square
- Orthgonal array
- Pairwise balanced design
- Transversal design
ASJC Scopus subject areas
- Computer Science Applications
- Applied Mathematics
Fingerprint Dive into the research topics of 'Existence of Incomplete Transversal Designs with Block Size Five and Any Index λ'. Together they form a unique fingerprint.
Cite this
Abel, R. J. R., Colbourn, C. J., Yin, J., & Zhang, H. (1997). Existence of Incomplete Transversal Designs with Block Size Five and Any Index λ. Designs, Codes, and Cryptography, 10(3), 275-307. https://doi.org/10.1023/A:1008232418845