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Finding Double Youden Rectangles

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Designs 2002

Part of the book series: Mathematics and Its Applications ((MAIA,volume 563))

Abstract

The role of computers in searches for Graeco-Latin squares (and indeed for hyper-Graeco-Latin squares) is well known. We now explain how we have used the computer to find examples of a less well-known type of Graeco-Latin design: the double Youden rectangle. We report the discovery of the first known double Youden rectangle of size 13 × 40; it is 13-cyclic.

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© 2003 Kluwer Academic Publishers

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Phillips, N.C.K., Preece, D.A. (2003). Finding Double Youden Rectangles. In: Wallis, W.D. (eds) Designs 2002. Mathematics and Its Applications, vol 563. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0245-2_12

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  • DOI: https://doi.org/10.1007/978-1-4613-0245-2_12

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-7958-4

  • Online ISBN: 978-1-4613-0245-2

  • eBook Packages: Springer Book Archive

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