Vowden, Barry J.
(2000)
*
A new infinite series of double Youden rectangles.
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Ars Combinatoria, 56
.
pp. 133-145.
ISSN 0381-7032.
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## 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 |
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Subjects: | Q Science > QA Mathematics (inc Computing science) |

Divisions: | Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science |

Depositing User: | A. Xie |

Date Deposited: | 27 Aug 2009 14:43 |

Last Modified: | 11 Jun 2014 10:48 |

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

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