A new infinite series of double Youden rectangles

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)

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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
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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