Construction of some new families of nested orthogonal arrays

ABSTRACT

Nested orthogonal arrays have been used in the design of an experimental setup consisting of two experiments, the expensive one of higher accuracy being nested in a larger and relatively less expensive one of lower accuracy. In this paper, we provide new methods for constructing two types of nested orthogonal arrays.

KEYWORDS:

• Galois field
• Modulus projection
• Nested orthogonal arrays.

MATHEMATICS SUBJECT CLASSIFICATION:

• 62K15

Acknowledgements

The authors thank the three referees for their constructive comments on an earlier version.The work of first two authors was supported by the National Natural Science Foundation of China (Grant Nos. 11601201, 11661076). A. Dey’s work was supported by the National Academy of Sciences, India under the Senior Scientist program of the Academy.

Additional information

Funding

National Natural Science Foundation of China [11601201, 11661076].