A note on automatic construction algorithms for orthogonal designs of experiments using error-correcting codes

Tomohiko Saito, Toshiyasu Matsushima, Shigeichi Hirasawa

Research output: Contribution to journalArticle

Abstract

In the field of experimental design, it is important to construct orthogonal designs. In this paper, we propose a new algorithm to construct orthogonal design. This algorithm uses Ukita’s algorithm, which is essentially based on projective geometries, and uses orthogonal designs constructed by error-correcting codes. We show some numerical examples of the proposed algorithm, and show that the proposed algorithm can construct good orthogonal designs with low complexity even if there are high order effects.

Original languageEnglish
Pages (from-to)369-381
Number of pages13
JournalJournal of Discrete Mathematical Sciences and Cryptography
Volume13
Issue number4
DOIs
Publication statusPublished - 2010 Jan 1

Keywords

  • Error-correcting codes
  • Experimental design
  • Orthogonal designs

ASJC Scopus subject areas

  • Analysis
  • Algebra and Number Theory
  • Applied Mathematics

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