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Schematic saturated orthogonal arrays obtained by using the contractive replacement method

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  • Shanqi Pang
  • Rong Yan
  • Sen Li

Abstract

This paper presents a general method of constructing schematic saturated orthogonal arrays of strength two. We consider a class of mixed saturated orthogonal arrays produced from saturated symmetric orthogonal arrays by using the contractive replacement method, study the Hamming distances of the rows, construct their association schemes, and prove that they are schematic. Some examples are given to illustrate this construction method.

Suggested Citation

  • Shanqi Pang & Rong Yan & Sen Li, 2017. "Schematic saturated orthogonal arrays obtained by using the contractive replacement method," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(18), pages 8913-8924, September.
    • Handle: RePEc:taf:lstaxx:v:46:y:2017:i:18:p:8913-8924
    DOI: 10.1080/03610926.2016.1197253
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