TY - JOUR
T1 - A note on automatic construction algorithms for orthogonal designs of experiments using error-correcting codes
AU - Saito, Tomohiko
AU - Matsushima, Toshiyasu
AU - Hirasawa, Shigeichi
N1 - Funding Information:
Acknowledgements. The authors thank Dr. Yoshifumi Ukita at Yokohama College of Commerce. This research is partially supported by Category (C) No. 18560391 of Grant-in-Aid for Scientific Research, Japan Society for the Promotion of Science.
PY - 2010
Y1 - 2010
N2 - 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.
AB - 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.
KW - Error-correcting codes
KW - Experimental design
KW - Orthogonal designs
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U2 - 10.1080/09720529.2010.10698300
DO - 10.1080/09720529.2010.10698300
M3 - Article
AN - SCOPUS:78651559433
SN - 0972-0529
VL - 13
SP - 369
EP - 381
JO - Journal of Discrete Mathematical Sciences and Cryptography
JF - Journal of Discrete Mathematical Sciences and Cryptography
IS - 4
ER -