Vowden, Barry J.
(2000)
*
A new infinite series of double Youden rectangles.
*
Ars Combinatoria,
56
.
pp. 133-145.
ISSN 0381-7032.
(The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided)

The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided. (Contact us about this Publication) |

## Abstract

Bailey (1989) defined a k x v double Youden rectangle (DYR), with L < v, as a type of balanced Graeco-Latin design where each Roman letter occurs exactly once in each of the k rows of the rectangle, and each Greek letter occurs exactly once in each of the v columns. A DYR of a particular size k x v can exist only if there exists a symmetric 2-design for v treatments in blocks of size k, but existence of a symmetric 2-design does not guarantee the existence of a corresponding DYR, nor does it provide a construction for such a DYR. Vowden (1994) provided constructions of DYRs of sizes k x (2k + 1) where k > 3 is a prime power with k = 3 (modulo 4). We now provide a general construction for DYRs of sizes k x (2k +1) where k > 5 is a prime power with k = 1 (modulo 4). We present DYRs of sizes 9 x 19 and 13 x 27.

Item Type: | Article |
---|---|

Subjects: | Q Science > QA Mathematics (inc Computing science) |

Divisions: | Faculties > Sciences > School of Mathematics Statistics and Actuarial Science |

Depositing User: | A. Xie |

Date Deposited: | 27 Aug 2009 14:43 UTC |

Last Modified: | 11 Jun 2014 10:48 UTC |

Resource URI: | https://kar.kent.ac.uk/id/eprint/16714 (The current URI for this page, for reference purposes) |

- Export to:
- RefWorks
- EPrints3 XML
- BibTeX
- CSV

- Depositors only (login required):