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

Keywords

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

ASJC Scopus subject areas

  • Signal Processing
  • Computer Graphics and Computer-Aided Design
  • Electrical and Electronic Engineering
  • Applied Mathematics

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