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On orthogonal generalized equitable rectangles

Designs, Codes and Cryptography volume 51, pages 225–230 (2009)Cite this article

Abstract

In this note, we give a complete solution of the existence of orthogonal generalized equitable rectangles, which was raised as an open problem in by Stinson (Des Codes Cryptogr 45:347–357, 2007).

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References

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Authors and Affiliations

  1. Department of Mathematics and Computer Science, Nanjing Normal University, Nanjing, 210097, Jiangsu, People’s Republic of China

    H. Cao

  2. Department of Mathematics and Statistics, University of Vermont, Burlington, VT, 05405, USA

    J. Dinitz

  3. Department of Mathematics, Michigan Technological University, Houghton, MI, 49931-1295, USA

    D. Kreher

  4. David R. Cheriton School of Computer Science, University of Waterloo, Waterloo, ON, Canada, N2L 3G1

    D. R. Stinson

  5. Department of Computer Science, Lakehead University, Thunder Bay, ON, Canada, P7B 5E1

    R. Wei

Authors
  1. H. Cao
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  2. J. Dinitz
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  3. D. Kreher
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  4. D. R. Stinson
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  5. R. Wei
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Corresponding author

Correspondence to D. R. Stinson.

Additional information

Communicated by L. Teirlinck.

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Cao, H., Dinitz, J., Kreher, D. et al. On orthogonal generalized equitable rectangles. Des. Codes Cryptogr. 51, 225–230 (2009). https://doi.org/10.1007/s10623-008-9252-0

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  • DOI: https://doi.org/10.1007/s10623-008-9252-0

Keywords

  • Orthogonal latin squares
  • Orthogonal equitable rectangles

Mathematics Subject Classification (2000)

  • 05B15

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