Preece, Donald A. and Vowden, Barry J. and Phillips, N.C.K.
(1999)
*
Double Youden rectangles of sizes px(2p+1) and (p+1)x(2p+1).
*
Ars Combinatoria, 51
.
pp. 161-171.
ISSN 0381-7032.
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## Abstract

A k x v double Youden rectangle (DYR) is a type of balanced Graeco-Latin design where each Roman letter occurs exactly once in each of the Ic rows, where each Greek letter occurs exactly once in each of the v columns, and where each Roman letter is paired exactly once with each Creek Better. The other properties of a DYR are of balance, and indeed the structure of a DYR incorporates that of a symmetric balanced incomplete block design (SBIBD). Few general methods of construction of DYRs are known, and these cover only some of the sizes k x v with k = p (odd) or p + 1, and v = 2p + 1. Computer searches have however produced DYRs for those such sizes, p less than or equal to 11, for which the existence of a DYR was previously in doubt. The new DYRs have cyclic structures. A consolidated table of DYRs of sizes p x (2p + 1) and (p + 1) x (2p + 1) is provided for p less than or equal to 11; for each of several of the sies, DYRs are given for different inherent SBIBDs.

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

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

Depositing User: | F.D. Zabet |

Date Deposited: | 22 Apr 2009 17:54 |

Last Modified: | 04 Jun 2014 08:49 |

Resource URI: | https://kar.kent.ac.uk/id/eprint/16492 (The current URI for this page, for reference purposes) |

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