A Note on Construction of Orthogonal Arrays with Unequal Strength from Error-Correcting Codes

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Author(s)

    • SAITO Tomohiko
    • Department of Industrial and Management Systems Engineering, School of Science and Engineering, Waseda University
    • MATSUSHIMA Toshiyasu
    • Department of Industrial and Management Systems Engineering, School of Science and Engineering, Waseda University
    • HIRASAWA Shigeichi
    • Department of Industrial and Management Systems Engineering, School of Science and Engineering, Waseda University

Abstract

Orthogonal Arrays (OAs) have been playing important roles in the field of experimental design. It has been known that OAs are closely related to error-correcting codes. Therefore, many OAs can be constructed from error-correcting codes. But these OAs are suitable for only cases that equal interaction effects can be assumed, for example, all two-factor interaction effects. Since these cases are rare in experimental design, we cannot say that OAs from error-correcting codes are practical. In this paper, we define OAs with unequal strength. In terms of our terminology, OAs from error-correcting codes are OAs with equal strength. We show that OAs with unequal strength are closer to practical OAs than OAs with equal strength. And we clarify the relation between OAs with unequal strength and unequal error-correcting codes. Finally, we propose some construction methods of OAs with unequal strength from unequal error-correcting codes.

Journal

  • IEICE Trans. Fundamentals, A

    IEICE Trans. Fundamentals, A 89(5), 1307-1315, 2006-05-01

    The Institute of Electronics, Information and Communication Engineers

References:  13

Cited by:  4

Codes

  • NII Article ID (NAID)
    110007502845
  • NII NACSIS-CAT ID (NCID)
    AA10826239
  • Text Lang
    ENG
  • Article Type
    Journal Article
  • ISSN
    09168508
  • Data Source
    CJP  CJPref  NII-ELS 
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