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A recursive method for orthogonal designs

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Abstract

We introduce a class of arrays which can be used with amicable sets of matrices. Using a recursive method we introduce a class of amicable matrices which can be used in the new arrays to generate a large class of full orthogonal designs.

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Authors and Affiliations

  1. Department of Mathematics, University of Manitoba, Winnipeg, Manitoba, Canada, R3T 3N2

    R. Craigen

  2. Institute for studies in theoretical Physics and Mathematics (IPM),  , Tehran, Iran

    H. Kharaghani

  3. Department of Mathematics & Computer Science, University of Lethbridge, Lethbridge, Alberta, Canada, T1K 3M4

    H. Kharaghani

Authors
  1. R. Craigen
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  2. H. Kharaghani
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Corresponding author

Correspondence to H. Kharaghani.

Additional information

The work was completed while the author was on study leave from University of Lethbridge, visiting IPM in Tehran. Hospitality and research grant provided by IPM is greatly appreciated.

Supported by an NSERC Discovery grant

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Craigen, R., Kharaghani, H. A recursive method for orthogonal designs. Metrika 62, 185–193 (2005). https://doi.org/10.1007/s00184-005-0404-1

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  • DOI: https://doi.org/10.1007/s00184-005-0404-1

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