A note on construction of orthogonal arrays with unequal strength from error-correcting codes

Tomohiko Saito, Toshiyasu Matsushima, Shigeichi Hirasawa

    Research output: Contribution to journalArticle

    5 Citations (Scopus)

    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.

    Original languageEnglish
    Pages (from-to)1307-1315
    Number of pages9
    JournalIEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
    VolumeE89-A
    Issue number5
    DOIs
    Publication statusPublished - 2006 May

    Fingerprint

    Orthogonal Array
    Error-correcting Codes
    Unequal
    Design of experiments
    Interaction Effects
    Terminology
    Experimental design

    Keywords

    • Experimental design
    • Nonlinear codes
    • Orthogonal arrays
    • Unequal errorcorrecting codes

    ASJC Scopus subject areas

    • Electrical and Electronic Engineering
    • Hardware and Architecture
    • Information Systems

    Cite this

    A note on construction of orthogonal arrays with unequal strength from error-correcting codes. / Saito, Tomohiko; Matsushima, Toshiyasu; Hirasawa, Shigeichi.

    In: IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, Vol. E89-A, No. 5, 05.2006, p. 1307-1315.

    Research output: Contribution to journalArticle

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