A Note on the Construction of Nonlinear Unequal Orthogonal Arrays from Error-Correcting Codes
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Orthogonal arrays have been used in the field of experimental design. Hedayat and Sloane showed the relation between orthogonal arrays and error-correcting codes. And they proposed some construction methods of both linear and nonlinear orthogonal arrays from error-correcting codes. On the other hand, the paper defined unequal orthogonal arrays as new class. It showed that unequal orthogonal arrays are more applicable to experimental design. Furthermore, it showed the relation between unequal orthogonal arrays and unequal error-correcting codes, and proposed the construction method of unequal orthogonal arrays from unequal error-correcting codes. But orthogonal arrays from this construction method are all linear. In this paper, we clarify the relation between nonlinear unequal orthogonal arrays and codes. And we propose one of construction methods of nonlinear unequal orthogonal arrays from error-correcting codes.
- IEICE Technical Report
IEICE Technical Report 105(84), 13-18, 2005-05-19
The Institute of Electronics, Information and Communication Engineers