IEICE TRANSACTIONS on Fundamentals
A Note on Construction of Orthogonal Arrays with Unequal Strength from Error-Correcting Codes
Summary :
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.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E89-A No.5 pp.1307-1315
- Publication Date
- 2006/05/01
- Publicized
- Online ISSN
- 1745-1337
- DOI
- 10.1093/ietfec/e89-a.5.1307
- Type of Manuscript
- Special Section PAPER (Special Section on Discrete Mathematics and Its Applications)
- Category
Authors
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Tomohiko SAITO, Toshiyasu MATSUSHIMA, Shigeichi HIRASAWA, "A Note on Construction of Orthogonal Arrays with Unequal Strength from Error-Correcting Codes" in IEICE TRANSACTIONS on Fundamentals,
vol. E89-A, no. 5, pp. 1307-1315, May 2006, doi: 10.1093/ietfec/e89-a.5.1307.
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.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1093/ietfec/e89-a.5.1307/_p
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@ARTICLE{e89-a_5_1307,
author={Tomohiko SAITO, Toshiyasu MATSUSHIMA, Shigeichi HIRASAWA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={A Note on Construction of Orthogonal Arrays with Unequal Strength from Error-Correcting Codes},
year={2006},
volume={E89-A},
number={5},
pages={1307-1315},
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.},
keywords={},
doi={10.1093/ietfec/e89-a.5.1307},
ISSN={1745-1337},
month={May},}
Copy
TY - JOUR
TI - A Note on Construction of Orthogonal Arrays with Unequal Strength from Error-Correcting Codes
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1307
EP - 1315
AU - Tomohiko SAITO
AU - Toshiyasu MATSUSHIMA
AU - Shigeichi HIRASAWA
PY - 2006
DO - 10.1093/ietfec/e89-a.5.1307
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E89-A
IS - 5
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - May 2006
AB - 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.
ER -
English
