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A canonical form for non-regular arrays based on generalized word length pattern values of delete-one-factor projections

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  • EENDEBAK, Pieter T.

Abstract

We introduce a canonical representative for the isomorphism classes of non-regular orthogonal arrays based on the generalized word length patterns (GWLP) of delete-one-factor projections. These GWLP values have been used recently to introduce a fast isomorphism test for two-level regular arrays. We show that the delete-one-factor projection GWLP method can be adopted to reduce both regular and non-regular orthogonal arrays to canonical form. The new canonical form is used in an existing framework to generate minimal complete sets of non-symmetric non-regular arrays. We show that the new method is efficient for reduction to canonical form, but not suitable for generating minimal complete sets.

Suggested Citation

  • EENDEBAK, Pieter T., 2014. "A canonical form for non-regular arrays based on generalized word length pattern values of delete-one-factor projections," Working Papers 2014007, University of Antwerp, Faculty of Business and Economics.
  • Handle: RePEc:ant:wpaper:2014007
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    File URL: https://repository.uantwerpen.be/docman/irua/ab0fe1/145289.pdf
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