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

Tomohiko Saito, Toshiyasu Matsushima, Shigeichi Hirasawa

研究成果: Article査読

抄録

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.

本文言語English
ページ(範囲)369-381
ページ数13
ジャーナルJournal of Discrete Mathematical Sciences and Cryptography
13
4
DOI
出版ステータスPublished - 2010 1月 1

ASJC Scopus subject areas

  • 分析
  • 代数と数論
  • 応用数学

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